Please please help me with this question please now and show your steps

Please Please Help Me With This Question Please Now And Show Your Steps

Answers

Answer 1
y = x^2 - 8x + 7

a) y-intercept

The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).

b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.

0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)

The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)

So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0

So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7

x-1=0
x= 1

The zeroes are at the points (1, 0) and (7, 0)

C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)

y = x^2 - 8x + 7
y - 7 = x^2 - 8x

We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).

So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).

(x-4)(x-4) multiplies out to x^2 - 8 + 16.

continuing,
y - 7 = x^2 - 8x

Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16

y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.

The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.

D. The vertex is solved in C as the point (-4, -9).

Related Questions

HELP ASAP!! Im being timed!!

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

7249jwnsnjdkwlskjeiwiwo1ñwlld

Answer:

I think it's about 15 to 22.

Step-by-step explanation: So first I checked the length for the unknown number and I added the 12 and 10 together but that didn't work and so i'm just estimating the number for x yo.

Sorry if I didn't helped you yo.

What is the value of the expression3+3⋅72−9⋅103+3⋅72−9⋅10 ?

Answers

-7.763 will be the total to the answer.

20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

5%x52?524526235+36285

Answers

Answer:

The answer is 7,878,684,378

LOL

Step-by-step explanation:

Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...

Answers

Answer:

NoYesYes

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake Jenna decides to buy a birthday cake and an ice cream cone for each of her friends. Jenna needs to determine the total cost for her birthday party.

Answers

Answer:

multiply the cost of the ice cream cones by the amount of friends then add the cost of the birthday cake.

example: (2.49 × n) + 24.99 = a

I would give you an answer but I dont have enough information, I'm sorry for the inconvenience.

-9 + ( -16) =

( -4) – (-6) + (-5) – (8) =

( 3) – (-9) + (-3) – (-2) =

- ( 5) – (-7) + (-8) =

- ( -8) – (-9) + (-4) – (-1) =

( -5) – (-11) + (10) – (8) =

( -1) – (-2) + (-3) – (-6) =

( -4) – ( 4) – (6) + (-5) – (-8) =

(-6) + (-5) – (-8) =

Answers

Answer:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) =-11

( 3) – (-9) + (-3) – (-2) =11

- ( 5) – (-7) + (-8) =-6

- ( -8) – (-9) + (-4) – (-1) =14

( -5) – (-11) + (10) – (8) =8

( -1) – (-2) + (-3) – (-6) =4

( -4) – ( 4) – (6) + (-5) – (-8) =-11

(-6) + (-5) – (-8) =-3

Step-by-step explanation:

Hope it helps

Answers:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) = -11

( 3) – (-9) + (-3) – (-2) = 11

- ( 5) – (-7) + (-8) = -6

- ( -8) – (-9) + (-4) – (-1) = 14

( -5) – (-11) + (10) – (8) = 8

( -1) – (-2) + (-3) – (-6) = 4

( -4) – ( 4) – (6) + (-5) – (-8) = -11

(-6) + (-5) – (-8) = -3

what is the circumference of a circle that has a diameter of 15m?
a.) 47.1m
b.) 23.55m
c.) 94.2m
d.) 50.3m​

Answers

Answer:

47.1

Step-by-step explanation:

c=pie d

c=3.14×15

47.1

Answer:

Step-by-step explanation:

So, as you know u got a the diameter.

-Given:

d = 15.

circle (Pi) = 3,14159265359 (But we use always 3.14)

Find: we need to find circumference.

C=Pi * d = 3,14 * 15 = 47,1m.

I hope this answers your question, sir.

A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?

Answers

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

t^(5)-10t+1=0 find the answer (≈)

Answers

Answer:

t:  -1.80244705, 0.100001, 1.75234772

2

Rearrange terms

3

Subtract

6

6

6

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

ΔABC is similar to ΔDEF. The length of segment AC is 12 cm. The length of segment BC is 18 cm. The length of segment DF is 10 cm.

What is the length of segment EF?
Question 1 options:

15


14


10


9

Answers

Answer:

It's 15

i took the test

Step-by-step explanation:

Plzzz help!! just atleast look at my question!! plzz I really need help!

Answers

no

Step-by-step explanation:

-2 - -3 doesn't equal -5

Answer:

no

Step-by-step explanation:

-2 - -3 = 1 not 5

At a school dance, the ratio of girls to boys is 8:3. If there are 528 students at the dance, how many are boys and how many are girls?

Answers

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Hi plz answer this I'll give u more points if u do

Answers

Answer:

6 feet in the distance

Step-by-step explanation:

The product of four and a number C is decreased by five?



Answers

C(2)2)2!2$262?2)2)2bsbahah

3x(6x + 5)
4x(2x-3y)

Answers

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

Which division sentence is represented by the model?


Number Line




6÷69=9

19÷6=23

19÷23=6

Answers

The modal represent the division is 6 ÷ 6/9 = 9.

What is division?

One of the most fundamental operations in arithmetic is division, in which a larger number is divided into smaller groups with the same number of items. Dividing a large group into smaller groups so that each group has the same number of items is called division. In math, it is an operation that equalizes sharing and grouping.

Given the number line in figure,

shows the number is divided in 9 equal parts

1/9, 2/9, 3/9, ..........9/9

and from 0 to 6/9 parts are marked,

there are 6 parts in 0 to 6/9

the division model for equation is

6 ÷ 6/9

and division is 6 ÷ 6/9 = 9

Hence the division sentence is represented by the model is 6 ÷ 6/9 = 9.

Learn more about division;

https://brainly.com/question/2273245

#SPJ5

The question is incomplete, complete question is attested in image

I need help!!! Can you figure this out?

Answers

Answer:

128 degrees

Step-by-step explanation:

38+90=128

Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

Answers

x – 4y < 4

x - 4 < 4y

1/4x -1
it is y > so the area is above the line y = 1/4x -1 so D is not right


second one

y < x + 1

a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.

Answers

Answer:

$9

Step-by-step explanation:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Therefore the Answer is: $9

The equation y=2x+3 represents the cost y (in dollars) of mailing a package that weighs x pounds. a. Graph the equation. b. Using the graph, which is the best estimate for the cost to mail the package?
a. Graph the equation.

b. Using the graph, which is the best estimate for the cost to mail the package?

the packedge is 1.126 lb

c. Use the equation to find how much it costs to mail the package.

Answers

Answer:

B. Slightly more than $5

Step-by-step explanation:

y = 2x + 3

Firstly we check variables to make sure we understand.

y = dollars

x = pounds

On the scale, it says 1.126 lb. Which means 1.126 pounds.

And so, x = 1.126

y = 2x + 3

y = 2(1.126) + 3

y = 2.252 + 3

y = 2.252

The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

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.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

Find the domain and range of the function

Answers

Step-by-step explanation:

using set notation

domain [-3,3]

range[-1,3]

answer pls 8 + 40 ÷ (10 × 2)

Answers

Answer:

10

8+40÷20=8+2=10

,.,.......

which is greater? -1 17/20 or -1 8/10PLSSS HELP ASAPplsss show work aswell

Answers

-1 17/20 and -1 8/10 can be compared easily if we give them common denominators. If we multiply the second fraction by 2, both fractions will have a denominator of 20.

8 * 2 = 16
10 * 2 = 20
New fraction: 16/20

-1 17/20 vs. - 1 16/20

-1 16/20 (-1 8/10) is greater. (For negative numbers, you can tell which one is greater by determining which one is closest to zero.)

Can someone pls help me

Answers

Answer:

I'm not sure, but I'll try

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (9)^2 - ( √ 65 )^2

(Side)^2 = (81) - (65)

(Side)^2 = 16

Take root of answer

Side = √16

Side = 4

Answer = 4

>> Answer

_________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Simplify.

15 20 24+20

Answers

Answer:

-5 divide by 28

Step-by-step explanation:

so the question supposed be " 15-20 divided by 2(4) + 20

15-20 which is also 15 + (-20)= -5

2(4)=8, 8+20=28

so it can simplify into -5 / 28

(hope it helps :)

Divide. Express your answer in simplest form. 2 1/2 ÷ 2 1/6

13/15 5 5/12 26/30 1 2/13

Answers

Answer:

[tex] \frac{15}{13} = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

[tex]2 \frac{1}{2} \div 2 \frac{1}{6} \\ \\ \\ \frac{5}{2} \div \frac{13}{6} \\ \\ \\ \frac{5}{2} \times \frac{6}{13} \\ \\ \\ \frac{5}{1} \times \frac{3}{13} \\ \\ \\ = \frac{15}{13} \\ \\ \\ = 1\frac{2}{13} [/tex]

I hope I helped you^_^

Answer:

[tex]2 \frac{1}{2} /2 \frac{1}{6} = \frac{5}{2} / \frac{13}{6} [/tex]

[tex] = \frac{5}{2} \times \frac{6}{13 } = \frac{5 \times 6}{2 \times 13} [/tex]

[tex] = \frac{5 \times 3}{1 \times 13} [/tex]

[tex] = \frac{15}{13} [/tex]

[tex] = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

Thank you!!!!!!!!!!!

√80+√20 find it ......​

Answers

Answer:

Approximately 13.41

Step-by-step explanation:

First do square root of each, which is finding what number multiplies by its self to get the number.

For example: The square root of 80 is approximately 8.94, and the square root of 20 is approximately 4.47.

So: 8.94 + 4.47 = 13.41 (Add normally, but remember to put the decimal in the right place).

Hope this helped :)

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