7x+6y=16 4x-2y=1 using elimation

Answers

Answer 1

For the given equations 7x+6y=16 and 4x-2y=1 the value of x is 1 and y is 3 / 2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are 7x+6y=16 and 4x-2y=1. The solution of the equations by elimination method is calculated as,

7x + 6y = 16

4x -2y = 1

Cross-multiply the two equations by the coefficients of variable y.

-14x -12y = -32

-24x + 12y = -6

____________

-38x = -38

x =1

The value of y will be calculated as,

4x - 2y = 1

4 -2 y = 1

y = 3 / 2

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Related Questions

The table shows the multiplication of two linear expressions.

A 2-column table with 5 rows. First column is labeled Reason with entries Given, Step 1, Step 2, Step 3, Step 4. Second column is labeled Step with entries three-fourths x (negative 8 x + 6), (three-fourths x) (negative 8 x) + (three-fourths x) (6), three-fourths times (negative 8) times x times x + three-fourths times 6 times x, (three-fourths times (negative 8)) times (x times x) + (three-fourths times 6) times x, negative 6 x squared + 9 over 2 x.

What is the mathematical reasoning for Step 3?

associative property
commutative property
distributive property
simplify

Answers

The mathematical reasoning for Step 3 is a distributive property.

What is distributive property?

It should be noted that the distributive property is the multiplication of the sum of two to more addends by a number that will give same result.

In this case, the mathematical reasoning for Step 3 is a distributive property.

Therefore, the correct option is C.

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Answer: C. Distributive Property

A cylinder and a cone have the same radius and height. The volume of the
cylinder is 639 ft3. What is the volume of the cone?

Answers

26282 because you need to cancel cancel or cancel cancel pay rent money bill pay rent pay pay for your bill card info

1 On a trip, a family drove 270 kilometers in 3 hours. a Find how many kilometers were traveled in one hour. Express this as a rate per hour. it rate

Answers

90 kilometers per hour
270/3=90

Answer:

90 kilo per hour

Step-by-step explanation:

hope that helps!!

Questions on a statistics exam are considered good questions provided the questions discriminate between students who have
studied for the exam and those who have not studied. Suppose that on a particular statistics exam the students were separated
into two gnpups, Group 1 that studied and Group 2 that had not studied. Data was collected and a 95% confidence interval for
the difference in the proportion of those passing the exam from Group 1 that studied and the proportion of those passing the
exam from Group 2 that had not studied. The confidence interval turned out to be (0.005, 0.125). Select the best answer.
Let P, = the proportion of Group 1 students that passed the exam
Let Py = the proportion of Group 2 students that passed the exam
The data fails to show with 95% confidence that these questions discriminated between those who studied and those who did
not study.
© We are 95% confident that those who studied had a higher passing rate than those who did not study.
We are 95% confident that those who studied had a lower passing rate than those who did not study.
None of the above

Answers

Using the interpretation of the confidence interval, the correct option is:

We are 95% confident that those who studied had a higher passing rate than those who did not study.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

The confidence interval of the difference is:

(0.005, 0.125).

Since the entire interval is positive, the correct option is:

We are 95% confident that those who studied had a higher passing rate than those who did not study.

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Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

The factored form of the related polynomial is (x - 1)(x - 9)

How to determine the factored form of the related polynomial?

In this question, the given parameter is the attached graph

From the graph, we can see that the curve crosses the x-axis at two different points

These points are the zeros of the polynomial function.

From the graph, the points are

x = 1 and x = 9

Set these points to 0

x - 1 = 0 and x - 9 = 0

Multiply the above equations

(x - 1)(x - 9) = 0

Remove the equation

(x - 1)(x - 9)

Hence, the factored form of the related polynomial is (x - 1)(x - 9)

Answers

Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1

Answer: The given equation is

f(x) = x^{4} - 1

x- and y-intercept of the graph of the function f(x) = x^4 - 1 is

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

A graph of the above point is attached

Step-by-step explanation:

Given equation, f(x) = x^{4} - 1

let's assume the above equation with respect to y to find intercept i.e

y = x^{4} - 1 .........................(i)

Now, for the x-intercept put y = 0 in eq.(i)

So, we get,

0 = x^4 - 1

x^4 = 1

x = -1, +1

from above we get the x-intercept (1,0), (−1,0)

Now, for the y-intercept put x = 0 in eq.(i)

So, we get

y = 0^4 - 1

y = -1

from above we get the y-intercept (0, -1)

Therefore, from all above

x- and y-intercept of the given equation f(x) = x^4 - 1 is

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

Graph of the given equation f(x) = x^4 - 1 with intercept is

What kind of multi step do I have to do to prove a is parallel to b and m parallel to n.

Answers

The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.

How to prove Perpendicular and Parallel Lines?

We are given that;

Line a is parallel to line b

Line m is parallel to line n.

A) We want to prove that line a is perpendicular to n.

From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.

Now, we know that by definition of a right angle that ∠1 will also be a right angle.

Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.

B) We want to prove that line b is perpendicular to n.

The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Thus, b will be perpendicular to n.

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You are training to compete in a 10-kilometer race, and you know the circular running trail at
your park is one mile long. How many times will you need to run this trail in order to run 10
kilometers? (round to the nearest whole number) 1 Kilometer=0.62
.

Answers

Answer:

6.2 rounds

Step-by-step explanation:

since 1 kilometer is 0.62 miles

10 kilometers is 6.2 miles

so about 6 and 1/5 rounds

Normandin Inc. has an unfunded pension liability of $575 million that must be paid in 20 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. If the relevant discount rate is 6.8%, what is the present value of this liability?

Answers

The present value of this unfunded pension liability of $575 million in 20 years at a discount rate of 6.8% is $154,256,257.63.

What is the present value?

The present value of an asset or liability refers to its future value discounted from a future period to the present period.

The present value can be computed using the PV table or formula.

We can also use an online finance calculator to determine the present value of the unfunded pension liability, as follows:

Data and Calculations:

N (# of periods) = 20 years

I/Y (Interest per year) = 6.8%

PMT (Periodic Payment) = $0

FV (Future Value) = $575,000,000

Results:

PV = $154,256,257.63

Total Interest $420,743,742.37

Thus, the present value of this unfunded pension liability of $575 million in 20 years at a discount rate of 6.8% is $154,256,257.63.

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do you have a picture of what the graph would look like?

Answers

The attached graph represents the piecewise function.

How to determine the graph of the equation?

The piecewise function is given as:

f(x) = 3x - 5, x ≤ -1

= -2x + 3, -1 < x < 4

= 2, x ≥ 4

To plot the graph, we simply plot the equations together with their domains

i.e.

3x - 5 with the domain of x ≤ -1, -2x + 3 with the domain of -1 < x < 4 and 2 with the domain of x ≥ 4

See attachment for the graph of the function

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(giving brainlyst) Question 2(Multiple Choice Worth 2 points) (13.03 LC) Which statement best describes the expression (5 x 3-12) x 87 O Subtract the product of 5 and 3 from the product of 12 and 8. O Multiply the difference of 12 and 8 by the product of 5 and 3. O Multiply the difference of 5 and 3 by 8, then subtract 12. O Subtract 12 from the product of 5 and 3, then multiply by 8. k

Answers

Answer:

See below

Step-by-step explanation:

Using PEDMAS:

O Subtract 12 from the product of 5 and 3, then multiply by 87

Select linear or nonlinear to correctly classify each function. Function Linear Nonlinear 72=x3+y Linear – 72= x 3 +y Nonlinear – 72= x 3 +y y+1=5(x−9) Linear – y+1=5( x−9 ) Nonlinear – y+1=5( x−9 ) 7y + 2x = 12 Linear – 7y + 2x = 12 Nonlinear – 7y + 2x = 12 4y = 24 Linear – 4y = 24 Nonlinear – 4y = 24

Answers

The linear functions are: y + 1 = 5(x - 9), -y + 1 = 5(x − 9), 7y + 2x = 12, -7y + 2x = 12, 4y = 24, and -4y = 24

How to classify the functions?

As a general rule, linear functions take any of the following forms:

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

Any equation that take a different form is not a linear function

Using the above as a guide, the linear functions are:

y + 1 = 5(x - 9), -y + 1 = 5(x − 9), 7y + 2x = 12, -7y + 2x = 12, 4y = 24, and -4y = 24

Other functions are nonlinear

Answers

Considering the p-value, the decision is described as follows:

Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].

What is the relation between the p-value and the conclusion of the test hypothesis?

Depends on if the p-value is less or more than the significance level:

If it is more, the null hypothesis is not rejected.If it is less, it is rejected.

In this problem, we have that:

The p-value is of 0.0739.The significance level is of 0.1.

Hence:

Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].

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Add.

−5/6+(−2 5/8)

Enter your answer as a simplified fraction by filling in the boxes.
pllzzzzz helppppp

Answers

Answer is -3 11/24
We know we have
-5/6 added to -2 5/8
First we have to make the denominator the same for both fractions. 24 is a number that is divisible by both 6 and 8. See attachment for the math.
Now we have -20/24 and -2 15/24
Combine negative numbers to add them together.
Now we have -2 35/24, you need to reduce to simplest terms. Your fraction -35/24 is an improper fraction so divide -35/24 and you get -1 11/24 so combine that with your -2 for a total of
-3 11/24

Here are the gold medal times for the women’s 100-meter freestyle (swimming) in every other Summer Olympics:

Answers

The least-squares regression line equation is y = -0.28x + 610.31

The scatter plot of the data

To plot the scatter plot of the data, we represent the x-axis with year and we represent the y-axis with time

Next, we plot the scatter plot using the dataset

See attachment for the scatter plot

Describe the relationship between the variables in the graph.

From the attached scatter plot, we can see that the relationship between the variables in the graph is approximately linear.

This is so because the points appear to be on a straight line

Find the correlation coefficient.

To do this, we make use of a graphing calculator, with the following summary:

X Values

∑ = 21608Mean = 1964.364∑(X - Mx)2 = SSx = 10062.545

Y Values

∑ = 686.41Mean = 62.401∑(Y - My)2 = SSy = 842.83

X and Y Combined

N = 11∑(X - Mx)(Y - My) = -2806.684

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -2806.684 / √((10062.545)(842.83)) = -0.9638

Hence, the correlation coefficient is -0.9638

Find the least-squares regression line.

To do this, we make use of a graphing calculator, with the following summary:

Sum of X = 21608Sum of Y = 686.41Mean X = 1964.3636Mean Y = 62.4009Sum of squares (SSX) = 10062.5455Sum of products (SP) = -2806.6836

The least-squares regression line equation is

y = bx + a

Where

b = SP/SSX = -2806.68/10062.55 = -0.27892

a = MY - bMX = 62.4 - (-0.28*1964.36) = 610.30872

So, we have

y = -0.27892x + 610.30872

Approximate

y = -0.28x + 610.31

Hence, the least-squares regression line equation is y = -0.28x + 610.31

The estimated gold medal time for 1924 and for 1976.

We have:

y = -0.28x + 610.31

Substitute 1924 and 1976 for x

y = -0.28 * 1924 + 610.31 = 71.59

y = -0.28 * 1976 + 610.31 = 57.03

Are these estimates reliable?

Yes, the estimates are reliable

Are they reasonable?

Yes, the estimates are reasonable

Why are your answers in Question 5 different than the times given in the table?

The results are different because the answers in 5 are estimated from the formula while the table are the actual values

Find the estimated gold medal time for 2022 and for 2200.

We have:

y = -0.28x + 610.31

Substitute 2022 and 2200 for x

y = -0.28 * 2022 + 610.31 = 44.15

y = -0.28 * 2200 + 610.31 = -5.69

Are these estimates reliable?

No, the estimates are not reliable

Are they reasonable?

The estimate in 2022 is reasonable, while the estimate in 2200 is not reasonable

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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by
h(t) = −4.9t(squared) + 20t + 12.
How long does it take to reach maximum height? (Round your answer to three decimal places.)

Answers

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

What time does the ball take to reach maximum height?

The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

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Which of the following points is in the solution set of y < x2 - 2x - 8?

Answers

The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)

What is the solution set for inequality?

The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.

Given that:

y < x² - 2x - 8

By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:

[tex]\mathbf{4\times \dfrac{1}{4}(y-(-9)) = (x-1)^2}[/tex]

Therefore, the parabola properties are:

The solution set of the domain is (-∞, ∞)Vertex(h,k) = (1, -9) Focal length |p| = 1/4

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A customer's stock value seems to be rising exponentially. The equation for
the linearized regression line that models this situation is log(y) = 0.30x +0.296,
where × represents number of weeks. Which of the following is the best
approximation of the number of weeks that will pass before the value of the
stock reaches $600?

Answers

Considering the given regression equation, the number of weeks that will pass before the value of the stock reaches $600 is of:

B. 8.3.

What is the regression equation?

The value of the stock y after x weeks is given as follows:

log(y) = 0.3x + 0.296.

We have to solve for x when y = 600, hence:

log(600) = 0.3x + 0.296

0.3x = 2.7782 - 0.296

x = (2.7782 - 0.296)/0.3

x = 8.3 weeks.

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Find x and simplify completely

Answers

Answer:

x = [tex]6\sqrt{3}[/tex] i

Step-by-step explanation:

We can write the following equation according to Euclidian Theorem to find the value of x:

[tex]x^{2}[/tex] = 12*9 multiply 9 and 12

[tex]x^{2}[/tex] = 108 find the root of both sides

x = [tex]6\sqrt{3}[/tex] is the value of x

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

(a) How many ways can this be done, if the order of the choices is relevant?

(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

The number of ways when the choice is not relevant is 4

How to determine the number of ways?

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^4P_3[/tex]

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^4C_3[/tex]

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

Answers

Answer:

Step-by-step explanation:

(73 + 85 + 70 + 63 + x)/5 = 73.

You find the average by adding all of the test scores and dividing that number by the number of tests. We had four test, so will will take that total, plus some mystery number (let's call it x), we divide that total by 5 because now there are 5 tests and not 4. We already know what we want the average to be, we want the average to be 73. We now have:

(291 + x)/5 = 73 Multiply both sides by 5

291 + x =365 Subtract 291 from both sides to get

x = 74

Answer: 74

Step-by-step explanation:

The mean is the average of all the values, which we find by finding the sum of each value and dividing by the total number of data points.

With 5 data points, we can use this equation to find, x, or the data point needed to obtain a mean of 73:

[tex]\frac{73+85+70+63+x}{5}=73\\ 291+x=365\\x=74[/tex]

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 8%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $692.50. How much was the hotel charge in each city before tax?

Answers

Step-by-step explanation:

x = hotel charge before tax in 1st city

y = hotel charge before tax in 2nd city

y = x + 1500

x×0.08 + y×0.05 = 692.5

why ?

a% of b = b×a/100

why ?

b = 100%

1% = 100%/100 = b/100

a% = a×1% = a×b/100 = b×a/100

so, e.g. 8% of something is that something multiplied by 8/100 or 0.08

now, we are using the first equation in the second equation :

x×0.08 + (x + 1500)×0.05 = 692.5

x×0.08 + x×0.05 + 1500×0.05 = 692.5

x×0.13 + 75 = 692.5

x×0.13 = 617.5

x = 617.5 / 0.13 = $4,750

y = x + 1500 = 4750 + 1500 = $6,250

the hotel charge before tax in the first city : $4,750

the hotel charge before tax in the second city : $6,250

Using the data in the table, which statement is true?

Answers

The true statement is mean > median

How to determine the true statement?

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

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Geometry question! Help!

Answers

Answer: [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is [tex]\frac{12+12+8}{2}=16[/tex].

Thus, by Heron's formula, the area is [tex]\sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}[/tex].

Therefore, the radius is [tex]\frac{32\sqrt{2}}{16}=2\sqrt{2}}[/tex]

Howard and Jane are surveying their neighbors about the community garden. Their questions, written on the survey, are below:

Howard: Did you visit the garden this month?
Jane: How many times do you visit the garden in a month?

Who wrote a statistical question and why?

Jane, because there will be variability in the responses collected
Jane, because there can be only one answer to the question
Howard, because every neighbor will give the same answer
Howard, because there can be many answers to the question

Answers

According to the information, it can be inferred that Jane's question is the one that classifies as statistical because there will be variability in the answers (option A).

How to identify the statistical question?

A statistical question is a type of question that is used to obtain information about a specific population and its trends or preferences.

In this case the statistical question is Jane's question because there will be variability in the answers, for example you will find that some people go to the garden once and others ten times a month.

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What is the perimeter of a yard with length = 4 x + 6 2 x + 1 feet and width = x − 3 2 x + 1 feet? 4 x − 3 4 x + 12 feet 4 x − 3 2 x + 6 feet 8 x − 6 4 x + 12 feet 8 x − 6 2 x + 6 feet

Answers

The perimeter of the given yard is P = 10x + 6

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(l + w)

where

l is the length

w is the width

Given the following parameters

length = 4x+6

width = x-3

Substitute

P = 2(4x+6+x-3)

P = 2(5x + 3)

P = 10x + 6

Hence the perimeter of the given yard is P = 10x + 6

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(02.05 LC)

Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?

The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.

Answers

Answer:

1st option

Step-by-step explanation:

given the graph of f(x) then the graph of f(x) ± c is a vertical translation of f(x)

• if - c then a shift down of c units

• if + c then a shift up of c units

then for f(x) + 4 is a shift up of 4 units

Identify a pair of factors of −35 that has a sum of −2.

Answers

Answer:

-7 and 5

Step-by-step explanation:

If you multiply -7 and 5, you get -35

Add them, and you get -2.

find w + y + y + z

someone pls help

Answers

Answer:

300

Step-by-step explanation:

30+30+w+x+y+z = 360 (all angles round a point add up to 360)

Simplifying :

60 + w+x+y+z = 360

Subtracting 60 from both sides :

w+x+y+z = 300

Hope this helped and brainliest ?

Sum of entire angle=360°

30+x+y+x+w+30=360w+x+y+z=360-60w+x+y+z=300

Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm, what is the surface area prism 1? Hint : the ratio of surface areas is the scale factor squared.

Answers

Using the hint that the ratio of surface areas is the scale factor squared, the surface area of prism 1 is 36 square cm

How to determine the surface area prism 1 using the hint that the ratio of surface areas is the scale factor squared?

From the figure, we have the following parameters

Prism 1 = 3 cm

Prism 2 = 8 cm

Calculate the scale ratio of dilation from prism 2 to prism 1 using the following equation

Scale ratio = Prism 1/Prism 2

Substitute the known values in the above equation

Scale ratio = 3m/8m

This gives

Scale ratio = 0.375

The surface area of prism 1 is then calculated using the following equation

Area of prism 2 = Scale ratio^2 * Area of prism 1

Substitute the known values in the above equation

Area of prism 2 = 0.375^2 * 256 square cm

Evaluate the product

Area of prism 2 = 36 square cm

Hence, the surface area of prism 1 is 36 square cm