Choose the best solution to the following system of linear equations.

Choose The Best Solution To The Following System Of Linear Equations.

Answers

Answer 1

Answer:

(-7;-1).

Step-by-step explanation:

1) to make up and solve the equation:

[tex]\frac{5}{7}x+4=-\frac{1}{7}x-2; \ = > \ x=-7.[/tex]

2) to substitute x=7 into any given equation and calculate the value of y:

[tex]y=\frac{5}{7}*(-7)+4=-1.[/tex]

3) finally, (-7;-1).


Related Questions

Can someone explain how they got the answer for this?

Answers

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

ABCD ~ JKLM. Write a proportion containing BC and JM

Answers

Answer:

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Researchers surveyed one hundred students on which superpower they would most like to have. The two-way table below displays data for the sample of students who responded to the survey.
Superpower Male Female TOTAL
Fly 30 10 40
Invisibility 12 32 44
Other 10 6 16
TOTAL 52 48 100
Find the probability that the student was male, given the student chose to fly as their superpower.
P\left( \text{male }| \text{ fly} \right)=P(male ∣ fly)=P, left parenthesis, start text, m, a, l, e, space, end text, vertical bar, start text, space, f, l, y, end text, right parenthesis, equals

Answers

30/40= .75= 75%
Since it’s given the student chose to fly as their superpower, you only look at the total males in that row.

The probability that the student was male, given the student chose to fly as their superpower is 2/3.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Total females = 48

Females and invisibility = 32

P(invisibility/female) = 32/48

= 2/3

Thus, the probability that the student was male, given the student chose to fly as their superpower is 2/3.

Learn more about the conditional relative frequency here:

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The cost of parking a car in an hourly lot can be
represented by the following equation
y = 3.2 + 2
What does the 2 tell you about the cost of
parking?
Select one:
You can only park for 2 hours
O
It costs 5 dollars to park all day
O
There is a 52 fee to park, before the number of
hours are factored in
The hourly rates $2

Answers

Answer:

C. There is a $2 fee to park, before the number of hours are factored in.

Step-by-step explanation:

Given that the equation, [tex] y = 3x + 2 [/tex], represents total cost charged for at a parking lot for customers to park their car, thus:

the "x" represents the number of hours,

3 represents the charged fee per hour

2 represents the flat fee charged, which is the starting fee, before the number of hours is calculated and added.

Therefore, the answer is "C. There is a $2 fee to park, before the number of hours are factored in."

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer is in the image, proof also has given

L=12.5

W=32.25

Volume=8223.75

Answers

Answer:

20.4

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Volume = length × width × height

Given that,

Volume = 8223.75 in³

length = 12.5 in

width = 32.25 in

height = ?

Now let us use the formula and find the height.

V = l × w × h

8223.75 = 12.5 × 32.25 × h

8223.75 = 403.125h

Divide both sides by 403.125.

20.4 = h

Therefore,

height = 20.4 in

An author wants to write at least 100 pages of a book in a month. He already has 25 pages of the book written and there are 15 days left in the month. The inequality 15x+25≥100 represents this situation, where x represents the number of pages that the author should write in a day. Solve this inequality for x. Graph the solution set on the number line below. Identify one value that is in the solution set of the inequality.

Answers

X=5
15x+25>100
-25 -25
15x>75
—- —-
15x 15x
X>5
Act like there is a line under the >sign

Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

answer urgent please!!

Answers

Answer:

15

Step-by-step explanation:

[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]

[tex]v+w[/tex]

[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]

~

Simplify 10^–8.
from edge 2022

Answers

Answer/Step-by-step explanation:

[tex]10^{-8}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]10^{-8}=\frac{1}{10^8}[/tex]

[tex]10^8=100000000[/tex]

[tex]=\frac{1}{100000000}[/tex]

or [tex]1e-8[/tex]

Decimal Form: 0.00000001

Hence, the following below might be your answer [Different form]:

1e - 80.000000011/100000000

[RevyBreeze]

Find the value of each expression 9+18÷3

Answers

Answer:

15

Step-by-step explanation:

first you divison

18 ÷ 3

which equals 6

then you add 9

which equals 15

Answer:

15

Step-by-step explanation:

use PEMDAS so divide 18 by 3 first and the add it to 9

what the heck I went ahed to my teacher and asked her what P versus NP. is and I don't know what it is and she walked away please help me

Answers

Answer:

The P versus NP problem is a major unsolved problem in computer science. It asks whether every problem whose solution can be quickly verified can also be solved quickly.

P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

What is the equation of the given line in standard form?


–6x + 7y = –17


–6x + 11y = –13


–11x + 6y = –13


–6x +11y = 13

Answers

The answer should be c because it has the same slope as the graph

what is 5/8 + 1/12? and how do you do it?

Answers

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24

3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.

Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.


(a) Find the distance from the fountain to the slide. Show your work.
(b) Find the distance from the fountain to the swings. Show your work.

Answers

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

A line is defined by the equation Y equals negative X +3. Which shows the graph of this line?

Answers

it will go downwards left t right (negative slope) and pass through the y intercept at (0,3)

Answer:

A

Step-by-step explanation:

miles has 25 coins In his pocket. Some are Nichols and some are dimes. He has a total of $1.65 how many of each type of coin does he have?​

Answers

▪ Answer:

n = 17

d = 8

▪ Step-by-step explanation:

Hi there !

1 nickel = 5c

1 dime = 10c

$1.65 = 165c

n + d = 25 => n = 25 - d

5n + 10d = 165

replace n

5(25 - d) + 10d = 165

125 - 5d + 10d = 165

5d = 165 - 125

5d = 40

d = 8 (dimes)

n = 25 - d

n = 25 - 8

n = 17 (nickels)

Good luck !

Evaluate the expression y2-y1/x2-x1 for the pairs (-7,-8) and (-5,2).

Algebra

Answers

Answer:

Slope (M) 5.000000

Distance (D) 10.198039

Δx 2.00

Δy 10.00

Step-by-step explanation:

what do you do to the b value to correctly complete the square?

Answers

Answer:

Divide it by 2 then multiply it by the answer. For example b is 4, divide it by 2. Then multiply by itself which is 2. Then answer is 4.

Our class can rent a bus that will cost $35 for a service fee plus $2 for every travel. We have a total of $150 we can spend on the rental. Write an equation and solve it to find out the greatest distance we could travel. Equation:​

Answers

Answer: 4

Step-by-step explanation:

add 35 with 2 = 37 and then divide 150 divided by 37 = 4

A= 61 degrees, a= 14, and b=21, solve the triangle

Answers

Answer:

a=18,b=21,c=14

Step-by-step explanation:

Find the value of a in the parallelogram shown to the right. Note that the figure is not drawn to scale.

Answers

Answer:

Step-by-step explanation:

3a + 26 = 86

3a = 86 - 26 = 60

a = 60/3 = 20

Matthew bought 2 movie tickets for $11, and Rosa bought 7 movie tickets for $38.50. What is the constant of proportionality?

Answers

Answer:

You should multiply 5.5 by 7 and it is equal to 38.5 so it is D

explanation:

did the test hope this helps! :D

The constant of proportionality of the given condition is 5.5.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Matthew and Rosa's constant of proportionality is K.

Now,

Matthew bought 2 movie tickets for $11.

So,

11 ∝ 2

11 = K 2 ⇒ K = 5.5

Now,

Rosa bought 7 movie tickets for $38.50.

So,

38.50 ∝ 7

38.50 = K 7 ⇒ K = 5.5

Hence "The constant of proportionality of the given condition is 5.5".

For more information about ratio and proportion,

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just to be clear this is algerbra 1
Six friends all use $2 coupons to buy movie tickets. They spend a total of $42, what is the price of one ticket without the coupon?

Answers

Answer:

$9

Step-by-step explanation:

6(x-2)=42

x-2=7 (divide by 6 on both sides)

x=9 (add 2 to both sides)

Answer:$9







Explanation:

13. What polynomials describes the area of the rectangle shown?
1x +5
2x-4

Answers

Answer:

2x² + 6x - 20

Step-by-step explanation:

A = ( 2x - 4 )( x + 5 )

A = 2x( x + 5 ) - 4 ( x + 5 )

A = 2x² + 10x - 4x - 20

A = 2x² + 6x - 20

In a given school, there 240 boys and 260 girls.
a) What is the ratio of the number of girls to the number of boys?
b) What is the ratio of the number of boys to the total number of pupils in the school?

Answers

Girls=260Boys=240

Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]

[tex]\\ \rm\Rrightarrow 13:12[/tex]

#2

Total pupils=240+260=500

Ratio

[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]

[tex]\\ \rm\Rrightarrow 12:25[/tex]

Answer:

a) 13:12

b) 12:25

Step-by-step explanation:

a) ratio of girls to boys

260:240 or 13:12

b) ratio of boys to the total number of pupils

240:(240+260) or 240:500 or 12:25

The basic way to find this is by simplifying.

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PLEASE HELP!!! FAST I HAVE 2 MINUTES! MULTIPLE CHOICE! PLEASE SHOW A LITTLE WORK FAST!

Answers

Answer:

A. y=-2x+1

Step-by-step explanation:

rise over run rise(up or down) 2 run(right or left) 1

what is the answer to 12x2

Answers

Answer:

24

Step-by-step explanation:

12 + 12 = 24

Answer:

it is 24

Step-by-step explanation:

Write the equation of a line in slope-intercept form with a slope of 7/
4 and a y-intercept of −3 .

Answers

y=7/4x-3 or y=1.75x-3

What is the length of segment AB

Answers

Answer:

length of AB is 10

Step-by-step explanation:

rise=8

run=6

[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]

[tex] \sqrt{100} = 10[/tex]

Of the students in sixth grade, 3/4 pack their lunch. What percent of students pack their lunch

Answers

Answer:

See below.

Step-by-step explanation:

75% of students pack their lunch. 3/4 as a decimal is 0.75. 0.75 as a percentage is 75%.

-hope it helps

Answer: 75%

Use division to convert the fraction to a decimal: 3/4 = 3 ÷ 4 = 0.75.

Multiply by 100 to get percent value: 0.75 × 100 = 75%

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