A quadratic function passes through the point (-7, -16) and has a vertex at (-6,
-18). Write the function in the form y = ax2 +bx+c. What are the values of a, b and
c?

Answer:

f(3)=21

g(-4)=-14

Step-by-step explanation:

Hope this helps

Answer:

x = 10

Step-by-step explanation:

x + 5 = 15

x = 15 - 5

x = 10

Thus, x = 10

-TheUnknownScientist

Answer:

$482.50

Step-by-step explanation:

Base salary: $400

5% of 1,650 is 82.50

.05 x 1,650 = 82.50

Commission : $82.50

Equation: 400 + 82.50 = $482.50

Answer:

the answer is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

21) CD -  chord   (segment)

22)FG - line

23) EC  - segment -  diameter

24) AB - segment - radius

25) H - Point

26) A - Point

It is a geometric series.

The ratio of the second to first term is= [tex]\frac{4}{10}=\frac{2}{5}[/tex]

The ratio of the third to second term is= [tex]\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}[/tex]

The ratio of the fourth to third term is=[tex]\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}[/tex]

Since the common ratios are same so it is a geometric series.

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Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

26x+63=36(Simplify both sides of the equation)

26x+63+−63=36+−63(Add -63 to both sides)

26x=−27

26x

26

=

−27

26

(Divide both sides by 26)

Answer:

4/9 ..................

Answer: domain and range are all real numbers!

Step-by-step explanation:

Answer:

slope is -55 balance decreases by $55 each month

Step-by-step explanation:

solve for slope using slope formula:

(620-895)/(6-1) = -275/5 = -55

decreases by $55 since that's the slope

Answer:

pohujnkmhugyfdtr

Step-by-step explanation:

The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250

using the geometric sequence formula,

where

a = first term = 2

r = common ratio  = 5

let find the remaining 3 terms

The 2nd term can be found below

The 3rd term can be found below

The 4th term can be found as follows

Therefore, the first 4 terms are 2, 10, 50, 250.

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Answer:

6 Boxes

Step-by-step explanation:

6 Boxes

1 Poster and 1 Banner in each box

Answer:

both negative 1 over two

Step-by-step explanation:

Answer:

-10/5 for green line aka -2x

and the parallel line would be the same -2x

the equations would be

y= =2x- 6

and the other would be

y= -2x-6

(this should be right)

Answer:

its B

Step-by-step explanation:

the second graph

Answer: B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hope this helps

Answer:

3/8 I believe.

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Answer:

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal. Comment on David Severin's post “Congruent means same shape and same size.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Your Welcome;)

Answer:

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Step-by-step explanation:

As we know that

sinФ = opposite ÷ hypotenuse

Given the triangle with

The length of the hypotenuse of a right triangle can be calculated as:

[tex]c=\sqrt{a^2+b^2}[/tex]

[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]

[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]

[tex]c=\sqrt{18+80}[/tex]

[tex]c=\sqrt{98}[/tex]

[tex]c=\sqrt{7^2\cdot \:2}[/tex]

[tex]c=\sqrt{2}\sqrt{7^2}[/tex]

[tex]c=7\sqrt{2}[/tex]

so

sinФ = opposite ÷ hypotenuse

substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Therefore,

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Answer:

1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].

2. Increasing exponential growth functions will rise much quicker than increasing linear functions.

3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

Answer:

Linear functions are written in the form  whereas exponential functions are written in the form .

Step-by-step explanation:

Answer:

Either (-4, 3) or (-4, 5).

Step-by-step explanation:

A function is a relation when each input has exactly one output. The inputs must not repeat in a function.

In the relation given, the input '-4' repeats.

{(-4,3), (-5, 6), (1, 0),(-4,5), (9,5), (0, -7)}

If we remove either (-4, 3) or (-4, 5), it would make the relation a function.

Hope this helps.

Answer: x = -1/2

-x + 5 - 5x = 8

⇔ -6x + 5 = 8

⇔ -6x = 3

⇔ x = 3/(-6) = -1/2

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

-x +5-5x=8

-6x= 3

Answer:

a. 1/2

b. 5/3

c. 0

d. undefined

Step-by-step explanation:

Answer:

A

Step-by-step explanation:.................

Answer:

(-6,-4)

Step-by-step explanation:

to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2

Answer:

24a

Step-by-step explanation:

Answer:

500mph

Step-by-step explanation:

5784.4 miles --> estimates to 6000 miles

6000/12=500

500mph

Answer:

Step-by-step explanation:

Answer:

the answer is x= -3

y = -14