A pair of equations is shown below:
y=7x- 8
y= 5x-2
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points

Answers

Answer 1

Answer:

x=3, y=13. (3, 13).

Step-by-step explanation:

7x-8=5x-2

7x-5x-8=-2

2x-8=-2

2x=-2+8

2x=6

x=6/2=3

y=5(3)-2=15-2=13

Answer 2

Answer:

given y=7x-8 i

y=5x-2 ii

Step-by-step explanation:

equating equation i and ii which is i=ii

7x-8=5x-2

7x-5x= -2+8

2x=6

x=6÷2

x=3

now

putting the value of xbin equation i

y=7x-8

y=7×3-8

y=21-8

y=13

hence the value of x and y is 3 and 13 respectively


Related Questions

Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158. What is the percent error of Shaun's estimate? (Round your answer to the nearest tenth)

Answers

Answer:

3.6%

Step-by-step explanation:

The formula for percent error is [ |va-ve/ve| * 100% ].

1200-1158/1158 * 100%

42/1158 * 100%

0.036 * 100%

3.6%

Best of Luck!

The percentage error should be 3.6%

Given that,

Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158.

Based on the above information, the calculation is as follows:

[tex]= (1200-1158)\div 1158 \times 100\%\\\\= 42\div 1158 \times 100\%\\\\= 0.036 \times 100\%\\\\[/tex]

= 3.6%

learn more; https://brainly.com/question/1691136?referrer=searchResults

choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)

Answers

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

Which operation is NOT closed for polynomials?
es )
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial
multiply a binomial by a binomial
D)
subtract a binomial from a trinomial

Answers

Answer:

B)

divide a binomial by a trinomial

Step-by-step explanation:

As we know that the polynomials are very closed to the addition, subtraction and the multiplication but the same cannot be happen under the division as the division of two polynomials could not become a polynomial it is not necessary

Now if we divide the binomial from a trinomial so it would give a rational expression and contain a negative exponent and negative exponent is not allowed under the same

Therefore the option B is correct

HELPP PLSSS!! I NEED HELPL

Answers

Answer:

65% :) enjoy your day!

Step-by-step explanation:

please mark brainliest

Need help!!!! With # 7

Answers

Answer:

Step-by-step explanation:

(-∞ , 8]

and

[0 , 8]

im 99% sure this is correct

hope this helps <3

8n^2-17


I NEED AN ANSWER

Answers

Answer: 37

Step-by-step explanation:

Sorry if you can’t really see it

Answers

Answer:

i cant see it

Step-by-step explanation:

Page 2 I need help with this whole page! And be careful, my teacher said “think about what part of the equation deals with price “

Answers

Answer:

a) Already correct

b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28

c) $6

d) Maximum Revenue would be $2,420

e) x = -5 but it's extraneous

(if we were using imaginary numbers then it would be 5i)

Step-by-step explanation:

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?

Answers

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

Parallelogram P was dilated to form parallelogram P prime.

Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.

What is the value of x? (Figures not drawn to scale.)

Answers

Answer:

x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....

Answer:

1 is the answer

Step-by-step explanation:

got a 100% on my test

Kathleen and Antonio hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 2 hours at the video arcade before heading home. If it was 11:00 A.M. when Kathleen and Antonio started shopping for clothes, what time was it when they left the mall?

Please help me fast!!!!!

Answers

Answer and Step-by-step explanation:

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First, we should list all the information that is given to us.

Started at: 11:00 AM

Time spent shopping: 1 hour and 15 minutes

The spent in food court: 1 hour and 30 minutes

Time spent in video arcade: 2 hours

Now, all we have to do is add the times.

11:00 AM + 1 hour and 15 minutes = 12:15 PM

12:15 PM + 1 hour and 30 minutes = 1:45 PM

1:45 PM + 2 hours = 3:45 PM

So, Kathleen and Antonio left the mall at 3:45 pm.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!

Answers

65 * 0.05 = 3.25
The shipping charge is $3.25
shipping would be
$3.25

how to get 435 with 100,50,25,10,5,1

Answers

Answer:

You can't get 435 with addition

Step-by-step explanation:

But if you can use multiplication and addition

50 times 5 = 250

250 plus 50 = 300

300 plus 100 = 400

400 plus 25 = 425

425 plus 10 = 435

Answer:

50*6 + 100 +25 + 10 =435

Step-by-step explanation:

Please help me thank you I appreciate it

Answers

90-42= 48

It’s a right angle.
Right angles are 90 degrees

Answer:

angle FDE+angle CDF=90° (given CDE=90°)

angle CDF=90-42

angle CDF=48°

one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.

Answers

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water pool

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

y-intercept = b = 36

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, the rate of change or slope = m = -1/2

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

Answer:

Option B

Step-by-step explanation:

Given:

AB ≅ CD

BC ≅ DA

To Prove:

ΔABD ≅ ΔCDB

      Statements                             Reasons

1). AB ≅ CD                              1). Given

2). BC ≅ DA                             2). Given

3). BD ≅ BD                             3). Reflexive property

4). ΔABD ≅ ΔCDB                   4). SSS postulate of congruence

Therefore, Option (B) will be the correct option.

Is this the right answer

Answers

Answer:

yes that would be correct

Step-by-step explanation:

4 + 4 is 8

Select the correct answer. What is the solution for x in the equation? 29 + 15x = -x − 3

Answers

First of all, move the terms so that all those who involve [tex]x[/tex] are on one side, and all the costants are on the other:

[tex]29 + 15x = -x - 3 \iff 15x+x=-29-3[/tex]

Sum like terms:

[tex]15x+x=-29-3 \iff 16x=-32[/tex]

Divide both sides by 16:

[tex]x=-2[/tex]

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=

Answers

Answer:

The values are:

[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]

Step-by-step explanation:

Given:

P = (x₁, y₁, z₁) = (1, 2, b)   Q =  (x₂, y₂, z₂) = (c, -7, 4)  m = R = (x, y, z) = (-3, a, -1)

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), som = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

[tex]1+c = -6[/tex]

[tex]c = -6 - 1[/tex]

[tex]c = -7[/tex]

Determining 'a'

a = (2+(-7)) / 2

[tex]2a = 2-7[/tex]

[tex]2a = -5[/tex]

[tex]a = -5/2[/tex]

Determining 'b'

-1 = (b+4) / 2

[tex]-2 = b+4[/tex]

[tex]b = -2-4[/tex]

[tex]b = -6[/tex]

Therefore, the values are:

[tex]a = -5/2[/tex][tex]b = -6[/tex][tex]c = -7[/tex]

6/8 and 24/40 are they proportional

Answers

Answer:

no they are not

Step-by-step explanation:

The ordered pair (1, -2) is a solution to the system of linear equations.

2x + y = 0

-x + 2y = 5

True
False

Answers

Answer:

False

Step-by-step explanation:

2x + y = 0

Try (1, -2)

2(1) + (-2) = 0

2 + (-2) = 0

0 = 0

The solution works on the first equation.

-x + 2y = 5

-(1) + 2(-2) = 5

-1 - 4 = 5

-5 = 5

The solution does not work in the second equation.

Answer: False

9hr. 8min+ 6hr. 42min.+ 8hr. 39min.

Answers

Step-by-step explanation:

24 hours and 29 minutes

24 hours and 29 mins
Explanation

Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
angled triangle.​

Answers

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



(2,-3), slope = 4
What is the answer

Answers

We are given:

The line passes through (2,-3)

Slope of the line = 4

Finding the equation of the line:

We know that the general form of the slope-intercept form is:

y = mx + b         [where m is the slope and b is the y-intercept]

y = 4x + b          [since slope = 4]

Finding the y-intercept:

Now, we are given that the line passes through the points: (2,-3)

which can be written as: x = 2 and y = -3

Since the line passes through these points, these values must satisfy the equation

So,

y = 4x + b

-3 = 2(4) + b

-3 = 8 + b

b = -11                [subtracting 8 from both sides]

Hence, the y-intercept is -11

Equation of the line:

We wrote the equation of the line as:

y = 4x + b          (where b is the y-intercept)

now that we know the value of b,

y = 4x - 11

Therefore, the equation of the line is: y = 4x - 11

At the movie theater,
each chrink costs 3
dollars and each box of
candy costs x dollars.
Charlie bought 2 drinks
and one box of candy
Tyrell bought I drink and 3
boxes of candy Write a
simplfled expression
representing how much
mone Charlie spent.

Answers

Step-by-step explanation:

Charlie bought 2 drinks and 1 box of candy

=> 2($3) + 1($x)

=> $(6 + x).

HELP ME WITH MY I-READY IM TRYING TO GET STUDENT OF THE MONTH PLZ HELP or it will get juicy
25 points

Answers

Answer: its four inches

Step-by-step explanation:

one green block is 1 inch and there is 4 green blocks meaning that it is four inches

Answer:

4 inches

Step-by-step explanation:

In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, , is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions 1 and 2. III. It is equal to the proportion of successes in both samples combined.

Answers

Answer:

The statements that are true about a hypothesis test for two proportions are:

I. It estimates the common value of p1 and p2 under the assumption of equal proportions.

II. It is obtained by averaging the two sample proportions 1 and 2.

Step-by-step explanation:

We use the two sample proportion z-test to determine whether the proportions of the two groups differ. This test calculates the range of values that is likely to include the differences between the sample proportions of p1 and p2.

What is the first digit quotient for 18.6


Please respond ASAP

Answers

I don’t know sorry I’m on the same one and can’t find it out

Answer: 18.6 is your answer because there is nothing behind the 6

Step-by-step explanation: hope this help :)

Help quick please algebra one

Answers

Answer:

b. (5,-2)

Step-by-step explanation:

When we substitute the x and y values into the equation and simplify the equation we end up with these equations:

-2 ≤ 0

-2 ≥ -9

Once simplified, the equations are proven to be correct.

(I hope this helps)

Answer:

The answer is B, (5,-2)

Step-by-step explanation:

If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.

Which diagram best shows how fraction bars can be used to evaluate 1/2 ÷ 1/4

A: 2/4
B:2
C:1/2
D:1/2

Answers

Answer:

B

Step-by-step explanation:

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