The graphs of two equations intersect at a point with y -coordinate 4. If the first equation is y= -4+8 and the graph of the second equation is a line of slope 1 , find the second equation.

Answers

Answer 1

The second equation with a slope of 1 passing through (1, 4) is y = x + 3

What is an equation?

An equation is an expression relating two or more numbers and variables.

The standard form of an equation is:

y = mx + b

Where m is the rate of change(slope) and b is the y intercept.

The first equation:

y = -4x + 8

Both equations intersect at a point with y -coordinate 4. Hence the corresponding x coordinate is by substituting y= 4:

4 = -4x + 8

-4x = -4

x = 1

The point is (1, 4)

The second equation has a slope of 1 and intersect at (1, 4). Hence:

y - 4 = 1(x - 1)

y = x + 3

The second equation is y = x + 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1


Related Questions

A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way is the

Answers

The learning records is the meaningful way in which all of the data of  learning experiences is record in the form of statements.

According to the statement

we have to tell that the which record is used when A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way.

So, for find this data store way to record the data

We know that the

The Learning Record provides an architecture and process for documenting student progress and achievement, based on interviews, observations over time, samples of students' naturally-occurring work, and well-supported interpretations of learning across five dimensions.

we see that the these given conditions in statement are approved by the data store way named the learning records.

So, The learning records is the meaningful way in which all of the data of  learning experiences is record in the form of statements.

Learn more about Data here https://brainly.com/question/518894

#SPJ4

A rectangle's area is given by the expression 6–² -- − n +9. The width of the rectangle is 3n². w = 3n² A = 6n² − n +9​

Answers

The length of the rectangle = 2 - (1/3n) +(3/n²).

How to estimate the length of a rectangle?

The formula for the area (taking this exists as a rectangle)

Area = length ⋅ width

where A exists the area of the rectangle

l exists the length of the rectangle and w exists the width of the rectangle.

If Area of the rectangle = length ⋅ width

then length of the rectangle = area/ width

Area = 6n² − n +9​

width = 3n²

Area = length [tex]*[/tex] width

length = area/ width

= (6n²  − n +9)/3n²

= 2 - (1/3n) +(3/n²).

The length of the rectangle = 2 - (1/3n) +(3/n²).

Therefore, the correct answer is option A. 2 - (1/3n) +(3/n²).

To learn more about the area of the rectangle refer to:

https://brainly.com/question/1549055

#SPJ9

Help please

9 2 7
X = 12 x 12

Answers

Answer:

x=12

Step-by-step explanation:

x^9=12^9

power of 9 cancel eachother at both sides of equation.

so

x=12

The diameter of the earth
at the equator is about
8.000 mi.
Based on this figure, how
far is it around the earth?

Answers

Answer:

25,132.74 miles

Step-by-step explanation:

Hello!

We are basically asked to find the circumference of the Earth's cross-section.

Circumference: [tex]C = 2\pi r[/tex]

We can replace 2r with the diameter, because the diameter is 2 times the radius.

Multiply the Diameter by pi:

[tex]C = \pi D[/tex][tex]C = 8000\pi[/tex][tex]C = 25,132.7412287183 \approx 25,132.74[/tex]

It is around 25,132.74 miles around.

Suppose the scores of students on an exam are normally distributed with a mean of 382 and a standard deviation of 97. According to the empirical rule, what percentage of students scored between 285 and 479 on the exam

Answers

If the mean is 382 and standard deviation is 97 then according to empirical rule 50% students scored  between 285 and 479 on the exam.

Given mean of 382 and standard deviation of 97.

We have to calculate the percentage of students scored between 285 and 479 on the exam.

Percentage is a number or ratio that is expressed in terms of 100.

We have to use z statistic in this question.

z=X-μ/σ

where μ is mean and

σ is standard deviation

from 285 to 382

z=285-383/97

=-1

p value =0.1587.

From 382 to 479

z=479-382/97

=97/97

=1

p value =0.3413

Total probability from 285  to 382 is 0.3413+0.1587=0.5

Percentage=5/10*100

=50%

Hence the percentage of students scored between 285 and 479 is 50%.

Learn more about z test at https://brainly.com/question/14453510

#SPJ4

Ab and ac are tangent to circle o. if ab measures 23 cm, what is the measure of ac?

Answers

Answer:

AC = 23

Step-by-step explanation:

Discussion

AB and AC start from the same point -- A.

That means that when speaking of tangents to a circle that AB = AC

Answer

AB = 23 in          Given

AC = 23              2 tangents to a circle starting from the same point are =

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, what conclusion should be drawn

Answers

3.60

t = r√n − 2/1 − √r2

= 0.6√25 − 2/√1 − 0.62

= 3.5969 t or about 3.60 rounded to two decimal places.

Hypothesis Testing:

Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution. First, a tentative assumption is made about the parameter or distribution. This assumption is called the null hypothesis and is denoted by H0.

Learn more about Hypothesis Testing on:

https://brainly.com/question/4232174

#SPJ4

Determine the value of x and y, show calculations

Answers

The value for x and y are 140° and 70° respectively.

How to solve Polygon Question

There are two ways to solve polygon question. Formula for the sum of interior angle and sum of the  exterior angle of regular polygon.

Sum of the interior = (n - 2)180

Sum of the exterior = 360/n

Where n = number of sides of a polygon.

The regular polygon in which x is one of its angle is called decagon

Sum of the interior = (n - 2)180

n = 10

Substitute n into the formula

Sum of the interior angle = (10 - 2)180

Sum of the interior angle  = (8)180

Sum of the interior angle = 1440

Each angle = 1400/10

x = 140°

For y, the three angles are similar.

sum of angle in a triangle = 180

Since the each triangle is an isoceles triangle, angle at each base will be y

40 + y + y = 180

2y = 180 - 40

2y = 140

y = 70°

Therefore, the value for x and y are 140° and 70° respectively.

Learn more about Polygon here: https://brainly.com/question/1592456

#SPJ1

Find the midpoint of points A(-9, -3) and B(1, 7) graphically.
Plot the line segment AB

Answers

Answer: (-4,2)

Step-by-step explanation:

To find the midpoint of AB, we have to find the mean of the x coordinates for the x coordinate of the midpoint and the mean of the y coordinates for the y coordinate of the midpoint

So the midpoint is ((-9+1)/2,(-3+7)/2) = (-4,2)

To plot the line AB, just find the points A and B on the graph and draw a straight line from A to B

Which are the solutions of x² = -7x − 8? √17 7 √17 + 4 2 7 √17 2 4 1412 THE + 7-√17 7 + √17 2 2 O-7-√17 −7+ √17 2 4​

Answers

Answer:

[tex](-7[/tex]±[tex]\sqrt{17}) /2[/tex]

Step-by-step explanation:

First, convert this into a quadratic, [tex]x^{2}+7x+8=0[/tex]. We can use the quadratic formula for this, [tex](-7[/tex]±[tex]\sqrt{7^{2}-4(1)(8)})[/tex][tex]/2(1)[/tex]. This becomes [tex](-7[/tex]±[tex]\sqrt{49-32})/2[/tex]. This is [tex](-7[/tex]±[tex]\sqrt{17}) /2[/tex]. This is your answer

In a survey of 456 residents, 279 were opposed to the use of the photo-cop for issuing traffic tickets. What is the best point estimate for the proportion () of all residents opposed to the photo-cop use

Answers

The best point estimate for the proportion of all the residents opposed to the photo cop use is 60%  which is the fourth option.

Given that in a survey of 456 residents , 279 were opposed to the use of the photo cop for issuing traffic tickets.

We have to find the best point estimate for the proportion of all residents opposed to the photo cop use.

Total residents=456

Residents who opposed to the use of the photo cop for issuing traffic tickets=279

Proportion=number of residents who opposed/ total residents

=279/456

=0.611

=61.1%

The nearest option is fourth which is 60%.

Hence the best point estimate for the proportion for the proportion of all the residents opposed to the photo cop use is 60% which is option 4.

Learn more about proportion at https://brainly.com/question/1496357

#SPJ4

Question is incomplete as it should include options which are :

1) 500

2)50%

3)300

4)60%

5)40%

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = startfraction 3 x 10 superscript 8 baseline over x endfraction what is the wavelength for radio waves with frequency 3 × 109?

Answers

The wavelength for radio waves with frequency 3 × 10⁹ Hz is 0.1 m.

What's the relation between frequency and wavelength of electromagnetic waves?For electromagnetic waves travelling in vaccum, the product of frequency and wavelength is the speed of light in vaccum.Mathematically, frequency × wavelength = 3×10⁸ m/s (which is speed of light)So, wavelength= 3×10⁸/ frequency

What's the wavelength of radio wave with frequency 3×10⁹ Hz ?

Wavelength of the radio wave= 3×10⁸/3×10⁹ = 0.1 m

Thus, we can conclude that the wavelength of the radio wave with frequency of 3 × 10⁹ Hz is 0.1 m.

Learn more about the wavelength of electromagnetic wave here:

brainly.com/question/27817563

#SPJ1

Can someone help me please and show work !!

Answers

Answer:

Step-by-step explanation:

Rectangles have 2 pairs of equal sides that means:

2(4x) and 2(3x+2)

8x and 6x+4

8x+ (6x + 4) = 14x + 4

prove that 3+2√5 is irrational​

Answers

Step-by-step explanation:

To prove that 3 + 2√5 is an irrational number, we will use the contradiction method.

Let us assume that 3 + 2√5 is a rational number with p and q as co-prime integers and q ≠ 0

⇒ 3 + 2√5 = p/ q

⇒ 2√5 = p/ q - 3

⇒ √5 = (p - 3q ) / 2q

⇒ (p - 3q ) / 2 q is a rational number.

However, √5 is an irrational number

This leads to a contradiction that 3 + 2√5 is a rational number.

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

[tex]G(x) = x^{3} -1[/tex]

Step-by-step explanation:

The red graph is the blue graph translated 1 unit down, so the answer is A.

Find the present value of a loan with a maturity value of $15,000 for 9 months at 6%.

Answers

Present value of the loan amount is $[tex]27[/tex] with a maturity value of $[tex]15000[/tex] for [tex]9[/tex] months at [tex]6[/tex]%

How to find the present value of loan amount ?

We know that

Maturity value of loan amount [tex]= 15000[/tex]

Time period is [tex]=9[/tex] months

Rate (r)[tex]=6[/tex] %

Present value of loan amount=?

So we can use the formula of maturity level

[tex]MV=PV*(1+r*t)[/tex]

Substitute the values

[tex]15000=PV *(1+6*9)\\15000=PV(55)\\\frac{15000}{55} =PV\\27.27=PV[/tex]

So present value of the loan amount is $[tex]27[/tex] in round figure.

Learn more about the maturity level and loan here:

https://brainly.com/question/28048713

#SPJ4

y square plus 5y equals to 0

Answers

Answer:

y^2 + 5y = 0

y(y + 5) = 0

y = 0, -5

The answer is y = 0 and y = -5.

The given question :

y² + 5y = 0y (y + 5) = 0y = 0, y = -5

What is the minimum point on the graph of the equation y=f(x)+5 ?

Answers

Answer:

Step-by-step explanation:

This function will have a minimum point only if f(x) has one.

Examples:  

y = x + 5:  straight line with no minimum

y = x^2 + 5:  parabola that opens up and has vertex at (0, 5); thus, the minimum is (0, 5)

What f(x) did you have in mind?  Please share it.

What equation shows that 9 is a factor of 72?

Answers

The equation that shows that 9 is a factor of 72 is given as 9 * 8 = 72

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation that shows that 9 is a factor of 72 is given as 9 * 8 = 72

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Which polynomial is a quintic trinomial?

A. -x^4-5x^2
B. x^3+2x^2−8x+16
C. x² + 4
D. 3x^5+7x^2−9x^4

Answers

Answer:

D

Step-by-step explanation:

a quintic polynomial is a polynomial of degree 5

A is a polynomial of degree 4 (- [tex]x^{4}[/tex] term )

B is a polynomial of degree 3 (x³ term )

C is a polynomial of degree 2 ( x² term )

D is a polynomial of degree 5 ( 3[tex]x^{5}[/tex] term )

Billy is hiking in Colorado. He walks eastward four miles, then turns $60$ degrees northward and walks six miles. How far is he from his starting point

Answers

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

Learn more about Pythagorean Theorem on:

https://brainly.com/question/20545047

#SPJ4

Analyze the graph below to identify the key features of the logarithmic function.

A) The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6.
B) The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
C) The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = -6.
D) The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = -6.

Answers

Answer: B

Step-by-step explanation:

When y=0, x=7, so the x-intercept is at x=7.

Eliminate everything except for B.

Answer:

b.     The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.  

Step-by-step explanation:

I took the test and got it right

What z-score value separates the highest 70% of the scores in a normal distribution from the lowest 30%?
a. z = 0.52
b. z = 0.84
c. z = -0.84
d. z = -0.52

Answers

Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:

z = -0.52.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is Z with a p-value of -0.3, hence z = -0.52.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

You have 7 balls that are each a different color of the rainbow. in how many distinct ways can these balls be ordered? a. 1 b. 7 c. 49 d. 343 e. 5,040

Answers

Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

How many different 4 digit numbers can be formed using only digits 1,2,3 and 4 given that they contain each of these digits as many times as you want?

Answers

Answer: 4

Step-by-step explanation:

yeh

if three pies require 2 dozen apples, then four bird require ? dozen apples?

Answers

Answer is 2-2/3 dozen apples, or 2.66 dozen as a repeating fraction.
Step by step
we know 2 dozen apples is 24 apples
We know 24 apples per 3 pies
To get the rate per pie, divide 24 apples per 3 pies
24/3 = 8 apples per pie
Now multiply 8 apples x 4 pies = 32 apples
Now we need to answer in how many dozen apples. Divide 32 by 12 (1 dozen)
Answer is 2.66 dozen apples or 2-2/3 dozen apples

what is the domain of f(x)=√11-x?

Answers

The domain of the function f(x) is:

11 ≥ x

What is the domain of the function f(x)?

Here we have the function:

[tex]f(x) = \sqrt{11 - x}[/tex]

Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:

11 - x ≥ 0

Then, solving this for x, we get:

11 ≥ x

Concluding, the domain of the function f(x) is:

11 ≥ x

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ!

WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they are congruent

Answers

Answer:

Yes they are congruent by SSS criterion

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

ordenada al origen 6 = paralela a la recta 2x+3y+4=0

Answers

La ecuación de la recta que contiene el punto (x, y) = (0, 6)  y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.

¿Cómo determinar la ecuación de una recta?

En esta pregunta tenemos que derivar una ecuación de la recta a partir de una recta y un punto. Dos rectas bajo forma implícita son paralelas si y solo si comparten los mismos coeficientes dependientes, entonces tenemos que el coeficiente independiente de la recta es:

2 · 0 + 3 · 6 + k = 0

18 + k = 0

k = - 18

Por tanto, la ecuación de la recta que contiene el punto (x, y) = (0, 6)  y es paralela a la recta 2 · x + 3 · y + 4 = 0 es igual a 2 · x + 3 · y - 18 = 0.

Para aprender más sobre rectas: https://brainly.com/question/24299905

#SPJ1

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when _____

Answers

As a rule of thumb, when each component is selected independently from the same population, the sampling distribution of the sample percentage may be estimated by a regular probability distribution.

Why is it crucial to use the thumb rule?One of our primary, simple-to-learn ways to handle complexity is the rule of thumb. Real thumb rules take into account operating, security, and financial constraints. They inform us of the likely location of a practical solution. Additionally, they reveal which tactics are most prone to failure.What is sampling distribution?A statistic that is obtained by sampled data from a bigger population is known as a sampling distribution. It depicts an array of potential results that may result from a statistic, such as the mean or mode of a certain parameter because there is really a population.

Therefore the main solution is- from the identical group, each component is individually chosen.

Learn more about sampling distribution here:

https://brainly.com/question/13501743

#SPJ4

Other Questions
you have signed up for a web-based appointment scheduling application to help you manage your new it technical support business. what type of solution would this be categorized as? expecting a corporation not to cause harm to soceity constitutions (from perspective of society) onsider the curve given by the parametric equations x=t(t2192),y=3(t2192) x=t(t2192),y=3(t2192) a.) determine the point on the curve where the tangent is horizontal. - Norman and Suzanne own 32 shares of a fast food restaurant stock and 78 shares of a toy company stock. At the close of the markets on a particular day in 2004, their stock portfolio consisting of these two stocks was worth $1391.00. The closing price of the fast food restaurant stock was $28 more per share than the closing price of the toy company stock on that day. What was the closing price of each stock on that day? The price per share of the fast food restaurant stock is $? Companies make choices in their HR processes that can help maintain the culture. The processes include a. recruiting, training, and promoting. b. recruiting, hiring, and training. c. recruiting, hiring, and promoting. define what one might call a multitape off-line turing machine and describe how it can be simulated by a standard turing machine. What is the pH of a 0.025 M solution of HClO? The Ka for HClO is 3.5 x 10-8.4.162.893.185.274.53 what is an attack in which the goal is execution of arbitrary commands on the host operating system via a vulnerable application? (three words) What do observations of distant supernovae tell us about the expansion of the universe? An inmate first advises Elie and his father (aggressively and with an angry tone) aboutsomething that ultimately saved their lives during the first selection process. What was thefirst bit of advice given by the inmate? an imbalance of body temperature or ph could cause _______________ to stop working, which will jeopardize homeostasis. Given: (x is number of items) Demand function: d(2) 862.4 0.6x2 Supply function: s(x) = 0.5x2 Find the equilibrium quantity: Find the producers surplus at the equilibrium quantity is the stage of development for high-performing teams where the team arrives at a work plan, including the roles, goals, and accountability a bicyclist in the tour de france has a speed of 32.0 miles per hour (mi/h) on a flat section of the road. what is this speed in (a) kilometers per hour (km/h), and (b) meters per second (m/s)? The other day, I was taking care of two girls whose parents are mathematicians. Thegirls are both whizzes at math. When I asked their ages, one girl replied, our ages is 18.= The other stated, The difference of our ages is 4.= What is theproduct of the girls ages? these are the parts of dna that carry the genetic code. phosphate group purines the carbohydrate pyrimidines The punch-through effect is occurred due to B-C junction in reverse bias. Explain the punch- through effect by finding the correct answer from following points. 3336 (i) Reducing B-E potential barrier. (ii) Reducing B-C potential barrier. (iii) Reduction of base neutral width. (iv) None. Read the following excerpt from a patient's health record: "PMHx: hypercholesterolemia, currently controlled with diet. Positive history of gonococcal urethritis 3 years previously. No history of urolithiasis." Which of the following definitions is part of the patient's past medical history? Find the curl and divergence of the vector field b) F(x, y, z) = (e^x sin y, e^y sin z, e^z sin x) _______ are analysts who use information concerning the current prospective profitability of a firm to assess the firms' fair market value.A. Technical analystB. Credit analystC. Systems analystD. fundamental analyst