Put the quadratic into vertex form and state the coordinates of the vertex. y=+ = 22 + 14x + 33​

Answer:

y=2x-58

Explanation:

In order to write our point-slope formula (y=mx+C format), we first need to figure out the slope (m). To figure out the slope, we divide the change in y by the change in x between the two points (rise/run). The rise is 30 (2-(-28)) and the run is 15 (30-15). Therefore the slope is 2 (30/15)

This gives us:

y=2x + c

Now to figure out C (which will be the y-intercept of the graph) we substitute in the values from one of the points. So our x=30 and our y=2:

2=2(30) + c

2=60+c

2-60=c

-58=c

So now we know that our C (constant) is - 58.

Hence our point-slope formula is:

y=2x-58

Which you can test with the other point:

-28=2(15) - 58

Hope this helped!

Answer:

y-2=2

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

Since its due quickly ill just write the answer. Let me know if you want the work as well though.

3*(1.06)=3.18

so,

24/(3.18)=7.57

You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7

7 ice cream cones

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

[tex]T = 62 =a\times 0 + b[/tex]

[tex]b=62[/tex]    

Now , after 1 min temperature will be , T = 62 +20 =82 F

[tex]T = 82 = a\times 1+62\\a=20[/tex]

Putting value of a ans b in equation 1 , we get :

[tex]T=20t+62\ F[/tex]

Hence , this is the required relation .

Answer:

17

Step-by-step explanation:

Answer: She bought 17 books

Step-by-step explanation:

Add $6 to the amount that she paid to find out how much money she would have paid.

45 + 6 = 51  so she would have paid $51  

Now divide 51 by 3 to find out how many books she bought.

51 / 3 = 17  

So because of the discount, she paid $45 for 17 books.

Answer:

2y-6

Step-by-step explanation:

Six less = Subracted by 6.

Answer:

3x^3 + x^2 -7x - 5

Step-by-step explanation:

SOOOOOOO you use the distributive property and multiply by each term.

Answer:

3x^3 + x^2 -7x -5

Step-by-step explanation:

(3x-5)(x^2+2x+1) you multiply and then add to get to 3x^3 + x^2 -7x -5.

*For example (x+2)(x+3) will be x^2+5x+6 The same logic is applied.

Answer:

since you are trying to get the scaled copy smaller you need to instead of multiply by 7 multiply by 1/7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Digits that should be written when doing calculations

-by-step explanation:

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

Answer: 89m+45=c

Step-by-step explanation:

Answer:

is A

Step-by-step explanation:

Answer:

He can buy 22 lunches.

Step-by-step explanation:

To find how many he can buy if he had $100, we must divide the cost of one lunch to the amount of money he has.

(Round to the nearest whole number to get the exact amount of lunches that he can buy.)

1 lunch = $4.50

So:

=$100 ÷ $4.50 = 22.222....

=22.222.... = 22

Hope this helps! I'm sorry if it's wrong.

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to graph the function

[tex]\boxed{y-3 = -(x+10)}[/tex]

See in the attached file!

Answer:

The answer is "-9 feet and Ground-level".

Step-by-step explanation:

Given value:

total length or distance from apple tree = 9 feets

In the calculation of the distance between both the ground and the tree will be the same.  

If he gets higher 9 feet, he will go back to the ground 9 feet, in this case, the represents ground  value is equal to 0.

In the calculation of absolute values it value is opposite but the same.

Answer:y=10x-1

Step-by-step explanation:

Answer:

x = 9π

x = 1620°

x ≈ 28.27433

Step-by-step explanation:

Move constant to the right-hand side and change its sign which it'll look like

x = π + 8π

Then collect like terms which youll end up with

x = 9π

Answer:

[tex]KM = 4[/tex]

Step-by-step explanation:

Given

[tex]LM = 3x + 3[/tex]

[tex]KM = 5x + 4[/tex]

[tex]KL = 5x + 1[/tex]

Required

Determine KM

The relationship between the given parameters is:

[tex]KM = KL + LM[/tex]

Substitute the values of KM, KL and LM

[tex]5x + 4 = 5x + 1 + 3x + 3[/tex]

Collect Like Terms

[tex]5x - 5x - 3x = 1 + 3 - 4[/tex]

[tex]-3x = 0[/tex]

Divide through by -3

[tex]x = 0[/tex]

Substitute 0 for x in [tex]KM = 5x + 4[/tex]

[tex]KM = 5 *0 + 4[/tex]

[tex]KM = 0 + 4[/tex]

[tex]KM = 4[/tex]

Answer:

98

Step-by-step explanation:

Answer:

w > -2

Step-by-step explanation:

9 + w > 7

Subtract 9 from both sides to end up with w alone on the left side.

w > -2

Answer:

Step-by-step explanation:

If Point P is the interior of ∠OZQ, then ∠ O Z P +∠ P Z Q = ∠ O Z Q

Given  O Z Q = 125 and m ∠ O Z P =62, to get  ∠ P Z Q, substitute the given angles into the formula above as shown;

∠ O Z P +∠ P Z Q = ∠ O Z Q

62 +∠ P Z Q = 125

subtract 62 from both sides

62 +∠ P Z Q - 62= 125 - 62

∠ P Z Q  = 63°

Hence the angle ∠ P Z Q  is 63°

y = 3 is written in slope-intercept form (y = mx + b).

The only variable we are given in this equation is "b" which is "3".

We don't have a slope variable at all which means the slope is 0 or undefined.

The y-intercept is 3.

Best of Luck!

Answer:

2) 24

3) 13

4) 27

Step-by-step explanation:

2) 3(2)^4-1=3(2)^3=24

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

4) 4(6-1)+7=4(5)+7=20+7=27

Answer:

The answer would be x= -1

Answer:

4 to 3

Step-by-step explanation:

Since in the question it is mentioned that the ratio is written by comparing the number of video games with respect to sports to the number of video games with respect to the driving is 4: 3

Also the ratio defines a relationship between the two variables

So, the ratio that is equal to cotton ratio is 4 to 3 and the same is to be considered

Answer:

Your answer is 4 to 3

Step-by-step explanation:

(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)

216=a^3+b^3+c^3-2(11)

a^3+b^3+c^3=238

but ıdk how can ı find -3abc :/

===============================================

Work Shown:

a+b+c = 6

(a+b+c)^2 = 6^2

(a+b+c)(a+b+c) = 36

a(a+b+c)+b(a+b+c)+c(a+b+c) = 36

a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36

a^2+b^2+c^2+2ab+2bc+2ca = 36

a^2+b^2+c^2+2(ab+bc+ca) = 36

a^2+b^2+c^2+2*11 = 36

a^2+b^2+c^2+22 = 36

a^2+b^2+c^2 = 36-22

a^2+b^2+c^2 = 14

-----------------------

a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )

a^3+b^3+c^3-3abc = 6*(14 - 11)

a^3+b^3+c^3-3abc = 18

Answer:

RUn on sentence

Step-by-step explanation:

Answer:

3.125

Step-by-step explanation:

-14÷(-4.48)

14÷(4.48)

divide that you will get 3.125

25/8, 3 1/8

is its alternative form.

Answer:

7 x 21

Step-by-step explanation:

We can say that the dimensions are a and b. Since this is a rectangle, we know that the perimeter will be 2a + 2b. So our first equation is:

2a + 2b = 56.

They also tell us that the length is 3 times its width. So we can say this:

a = 3b.

Now we can substitute, and we can do the full problem with the given info:

2a + 2b = 56

a = 3b

2a = 6b

6b + 2b = 56

8b = 56

b = 7

Now that we know b, we can multiply it by 3 to get a:

b = 7

a = 3b

a = 21.

So our answer is:

a = 21

b = 7

Answer:

Dimensions:

7 x 21

Answer:

Width=7

Length=21

Step-by-step explanation:

p=56 feet

L=3W

P=2L + 2W

56=2(3W)+2W

56=6W+2W

56=8W

W=56/8 = 7 ⇒ Width=7

L=3W

L=3*7

L=21 feet ( length=21 feet)

check : p=2l+2w

P=2(21)+2(7)

p=42+14=56

Answer:

He had to have walked 5 dogs and done one survey

Step-by-step explanation: