The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
g(x) is represented by the equation g(x)= -(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?

Answer:

The answer is m=0.10L

Step-by-step explanation:

You just input the values in L in the equation to get M you just do process of elimination

Given:

A number is 400.

To find:

The additive inverse of 400.

Solution:

We know that the sum of a number and its additive inverse is 0.

If "a" is number and "b" is its additive inverse, then

[tex]a+b=0[/tex]

Let x be the additive inverse of 400. Then,

[tex]400+x=0[/tex]

Subtract both sides by 400.

[tex]400+x-400=0-400[/tex]

[tex]x=-400[/tex]

Therefore, the additive inverse of 400 is [tex]-400[/tex].

Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Answer:

if Y=-3 and 4y is the equation then the answer is -27

Answer:

4y=-12

4+y=1

Step-by-step explanation:

when y=-3

then you substitute the value of y into the questions

4(-3)=

4×-3

=-12

4+y

4+(-3)

we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)

so therefore,

4-3

=1

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

[tex]a_{n}[/tex] = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

[tex]a_{n}[/tex] =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

[tex]a_{n}[/tex]   = 301

using the formula of nth term

[tex]a_{n}[/tex]  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

To know more about A.P sequence here:

https://brainly.com/question/24205483

#SPJ3

Answer:

102

Step-by-step explanation:

Answer:

636.41818

Step-by-step explanation:

^2=∑=1(−⎯⎯⎯)2−1

^2=−1

^2=6364.181811−1

^2=6364.181810

^2=636.41818

I hope this helps :)

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

The answer is 384 mangoes I hope it is helpful.

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

Answer:

6

Step-by-step explanation:

AP^2 = PC * PB

We have PC and BC. We need PB.

PC = 12

BC = 9

PB + BC = PC

PB + 9 = 12

PB = 3

AP^2 = 12 * 3

AP^2 = 36

AP = 6

Answer: 6

Answer:

Hey!

Step-by-step explanation:-

to solve this, the equation  PB X PC = [tex]AP^{2}[/tex]  can be used

In the ques, its given that PC= 12cm and BC = 9.

To solve this, WE NEED TO FIND PB, SO:-

PB + BC = PC

PB + 9 = 12

PB = 3cm.

Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]

[tex]AP^{2}[/tex] = PB x PC

[tex]AP^{2}[/tex] = 3 X 12

[tex]AP^{2}[/tex] = 36

AP = [tex]\sqrt{36}[/tex]

Answer:

3

Step-by-step explanation:

Pick two points on the line

(0,0) and (10,30)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (30-0)/(10-0)

    = 30/10

    = 3

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

Answer:

Step-by-step explanation:

700.5

Answer:

You have to use the equation F=ma.

F: the force an object has (in this case the unknown)

M: the mass an object has (in this case 1000kg)

A: the acceleration an object has (in this case 5m/s^2)

when you plug in everything you should get F=5000N

Answer:

The answer is 5000 N (Newtons).

Explanation:

F=M*A

F=1000 kilograms * 5 m/s squared

F=5000 Newtons

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

Answer:

Length MN = 10 unit

Step-by-step explanation:

Given: M {-5,2} and N {5,2} are the endpoints of the segment MN.

Length of line segment having co-ordinates as

[tex](x_1, y_1) and (x_2, y_2)[/tex]

is calculated as

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So plugging the values in above equation we get

[tex]D =\sqrt{(5+5)^2+(2-2)^2}[/tex]

D = 10 unit

Therefore, Length MN = 10 unit

Answer:

I am sooo sorry I really need the points

Step-by-step explanation:

Soooo sorry

Answer:

$55.35

Step-by-step explanation:

10 x 9.98 = 99.80

15 x 12.99 = 194.85

350 - 194.85 = 155.15

155.15 - 99.80 = 55.35

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

Answer:

13

Step-by-step explanation:

thats my answer byusing calculato

Answer:

0.1 ounce

Step-by-step explanation:

5  cookies = 0.5 ounces

1 cookie = 0.5 / 5 = 0.1 ounce

Answer:

4x+7 I believe but it could be wrong

Answer:

42 I think LOL

0=(-9)

Step-by-step explanation:

4x + 7 = -2 + 4x

4x + 7 = 4x -2

subtract 7 from both sides of the equation.

simplify your answer.

subtract 4x from both sides of the equation.

simplify your answer again.

4x + 7 = 4x -2

___-7 = 4x -7

4x __ = 4x -9

__4x = 4x -9

-4x = -4x -9

__0 = -9

the input is a contradiction: it has no solutions.

Answer:

the required number is 12

Answer:

Step-by-step explanation:

One third of number is 8 less than the three times of the number

The number is x, then:

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

Answer:

x=−3 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+3)(x−7)=0

Step 2: Set factors equal to 0.

x+3=0 or x−7=0

x=−3 or x=7

Answer:

(-3,7)

Step-by-step explanation: