Solve the system by elimination.
{y= 16x+44
{y= -x^2 +8x+28

Answers

Answer 1

Answer:

x= -4, y= -20

Step-by-step explanation:

y= 16x+44

(y= -x²+8x+28) * (-1)

multiply both sides by -1  

y= 16x+44

-y= x²-8x-28

add the equations to eliminate y

y-y= x²+16x-8x+44-28

0= x² +8x +16 this is the same with (x+4)²=0 so x= -4

go back to the first equation and substitute x with -4 and solve for y

y= 16*(-4) +44 = -64+44 = -20


Related Questions

Select ALL the expressions that are equivalent to -4(8x-3)

A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)

Answers

Answer:

dddddStep-by-step explanation:

What is the answer and how do you get it?

Answers

Y^5*2^7 bc you have to had the exponents if you see a multiple sign but if you see a division sign you subtract

Answer:

it would D, when you simplify both expressions, they get the same result which is 1024y^6

The product of -3 and -7 is positive.


True False

Answers

True!! If you multiply -3 x -7 you get 21!!

Answer:

True

Step-by-step explanation:

[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]

Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.

Answers

It’s 12.5% I hope this helps but that’s the correct answer :)

What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?​

Answers

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  [tex]y - y_{1} = m(x - x_{1})[/tex]

[tex](x_{1}, y_{1})[/tex] = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

I need help on this equation

Answers

45 degree angle :))
Angle abc is 90 and half of that is 45 degrees

Solve this triangle
B=?

Answers

Answer:

i hope 67° is the answer .

First correct response gets brainliest

Answers

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

help please ! I don’t remember the formula on how to get the answer.

Answers

Step-by-step explanation:

b = 4`² = 1/16 = 0.0625

c = 4`⁴ = 1/256 = 0.00390625

d = (⅔)° = 1

e = (⅔)² = 4/9 = 0.4444...

f = (⅔)⁴ = 16/81 = 0.197530864

9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?

Answers

Answer:

See all three answers below

Step-by-step explanation:

Given data

Amount Earned= $54275

Income Tax= 18%

a Work out how much income tax he pays.

Amount of income tax

=18/100*54275

=0.18*54275

=$9769.5

b Work out what percentage of his income he pays in tax.

=9769.5/54275*100

=0.18*100

=18%

c. If the income tax rate is increased to 21%, how much more tax will Sam pay?

=21/100*54275

=0.21*54275

=$11397.75

Mia bicycles every day. Based on the graph, if Mia rides for 1.5 hours, how many miles does she bike?

A. 5
B. 10
C. 15
D. 20

Answers

Answer:

ITS C IT IS C!!!!!!!

help plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

I think I just posted that last time. Check my timeline

Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.

Answers

Answer: [tex]y=8x-25[/tex]

Step-by-step explanation:

Given

Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]

Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]

[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]

Insert the values

[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]  

Answer:

8x-25

Step-by-step explanation:

:O thats ez

For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y

Answers

Answer:

y/3

Step-by-step explanation:

According to the conditions :

y + y/3 - x = y

y + y/3 - y = x

(3y + y - 3y )/3 = x

y/3 = x

Answer:

[tex]\frac{3}{12}[/tex]

Step-by-step explanation:

Create an equation and solve for x:

[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]

What is the range of the function f(x)=2x+4f⁢(x)=2x+4 when the domain is {-2, 0, 3}?

A. {0, 4, 10}

B. {4.25, 5, 12}

C. {4.25, 4, 12}

D. All real numbers

Answers

D. All real numbers is the answers

PLSSSS HELPPP REWARD BRINLIESTT

Answers

Answer:

D

Step-by-step explanation:

Since x is years of experience and y is salary, every time x increases by 1, the salary will increase by $2035.6

Answer:

option 4

Step-by-step explanation:

Use the graph to write a linear function that relates Y toX

Answers

In the graph you can see the point are crossing Y -1 and x= 2,
x-y=xy
2-1=1
Y=1

At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?

Answers

Answer:

3003

Step-by-step explanation:

It is going to be 15C5

Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.

Answers

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet

14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?​

Answers

Answer:

35

Step-by-step explanation:

We can assume the longer side is the hypotenuse because it is significantly longer than the other side.

From there, we can do Pythagoreans Theorem.

a^2+b^2=c^2

where can is the hypotenuse.

(12.75)^2+ b^2 = (37.25)^3

162.5625 + b^2 = 1,387.5625

-162.5625 -162.5625

b^2= 1,225

square root both sides.

b= 35

A bag contains 3 red marbles, 6 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?

Answers

Answer:

8.236%

Step-by-step explanation:

P(G,G,G) = 8/17 x 7/16 x 6/15

= 7/85 (simplified)

7/85, in decimal form, is .082352

.082352 in percent form is 8.236%

Help Me And If ITs Right Ill Give Brainliest to you

Answers

Answer: I thınk so aswer ıs B

Step-by-step explanation:

Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!

Answers

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?

Answers

Answer:

40 students

Step-by-step explanation:

Total students in the amusement park = x

Students who had 3 rides = 1/2x

Remainder = x - 1/2x

= 1/2x

Students who had two rides = 3/5 of 1/2x

= 3/5 * 1/2x

= 3/10x

Students who had one ride = 8 students

x = 1/2x + 3/10x + 8

x = (5x+3x) / 10 + 8

x = 8/10x + 8

x = 4/5x + 8

x - 4/5x = 8

(5x-4x) / 5 = 8

1/5x = 8

x = 8 ÷ 1/5

x = 8 × 5/1

x = 40 students

Total students in the amusement park = x = 40 students

Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53

Answers

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]

Putting n=10, we get

[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

[tex]Median=\dfrac{50+53}{2}[/tex]

[tex]Median=\dfrac{103}{2}[/tex]

[tex]Median=51.5[/tex]

Therefore, the median of the given data set is 51.5.

The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.​

please help and I will mark you braniest!

Answers

Answer: The percentage increase is 170%

Step-by-step explanation:

Increase= $351 - $130

Increase= 221

Percent increase = 221/ 130

Percent increase= 170%

I'm not sure if I'm right, but I hope that this helped:)

Answer:

170%

Step-by-step explanation:

130 = 100%

65 = 50%

13 = 10%

351 - 130 = 221 (doesnt count)

221 - 130 = 91

91 - 65 = 26

26 - (13 + 13) = 0

100 +  50 + 20 = 170%

Wait what about this one

Answers

Answer:

I believe it is 7/20

Step-by-step explanation:

MARKING BRAINLIEST ..Please

Answers

Answer:

B

Step-by-step explanation:

Have a good day :)

Answer: I think D.

Step-by-step explanation:

Evaluate.
9.2x10-^8
—————-
2.3x10^3

1.6.9 x 10^-11
2.4.0 x 10^-11
3.4.0 x 10^-5
4.6.9 x 10^-5

Answers

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?

Answers

First you add all marbles so you know how many there are:

6+3+8= 17

Then, to find the probability you put the number of marbles which you want to find the probability of being pulled out on top of the fraction and make it out of 17

6/17

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