please help! will give brainliest!

Answer:

[tex]\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)[/tex]

Step-by-step explanation:

Equation of the Parabola

The general form of the equation of the parabola is:

[tex]f(x)=ax^2+bx+c[/tex]

We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).

However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:

[tex]f(x)=a(x-p)(x-q)[/tex]

We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:

[tex]f(x)=a(x-1)(x+3)[/tex]

We only need to find the value of a. We do that by using the point (-9,28):

[tex]28=a(-9-1)(-9+3)[/tex]

Operating:

[tex]28=a(-10)(-6)=60a[/tex]

Solving for a:

[tex]\displaystyle a=\frac{28}{60}=\frac{7}{15}[/tex]

Thus, the equation of the parabola is:

[tex]\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}[/tex]

I honestly don't know try 10 or 12 sorry I couldn't help you further

Answer:

let the no. of boys be x

no. of girls = 2x

According to the question,

x + 2x = 60

=> 3x = 60

=> x = 60/3

=> x = 20

Thus, there were 20 boys at the game

Answer:

boys:20 girls:40

Step-by-step explanation:

because 40 +20=60

Option D is the correct answer, y = 3x + 7

The line is y=3x+7

Given that the point is (-3, -2) and slope=m=3.

Using the point slope formula we get:

[tex]y-\left(-2\right)=3\left(x-\left(-3\right)\right)\\y+2=3\left(x+3\right)\\y+2=3x+9\\y=3x+7[/tex]

The line is y=3x+7

Learn more: https://brainly.com/question/8806877

Answer:

a goldish!

Step-by-step explanation:

Answer:

2 ferrets a dog and 2 cats

Step-by-step explanation:

Answer:

It would cost 3.47 cents for one ounce.

Hope it helps :)

Answer: 3.47

Step-by-step explanation: see the key word per and that tells you to divide 20 by 5.76 and get 3.47

Answer:

A(2)= 18, A(4)= 40, A(11)= 117

Answer

9.5

Step-by-step explanation:

Answer:

  y +4 = 1/5(x +5)

Step-by-step explanation:

The equation of a line with slope m through point (h, k) in point-slope form is ...

  y -k = m(x -h)

You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...

  y -(-4) = (1/5)(x -(-5))

  y +4 = 1/5(x +5)

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

Explanation:

Let's go through the answer choices

Answer:

m = (4/3)

Step-by-step explanation:

9 - 1

8 - 2

8/6 = 4/3

Answer: C

Step-by-step explanation:

the temperature of the mixture will be 60°

Answer:

10 width and 30 length.

Step-by-step explanation

multiply 30x2 which is 60 and 10x2 which is 20 and 60+20=80.

Answer:

Jasisnotcute

Step-by-step explanation:

Im telling you they really arent.

Answer is Z though.

Answer:

3 i think

Step-by-step explanation:

add 3 and 4 =7

or

multiply 2 and 3= 6 and subtract 3 = 3

Given:

Speed in still water = 12 miles per hour

Distance travel in upstream = 45 miles

Distance travel in downstream = 45 miles

Total time = 8 hours

To find:

The speed of current.

Solution:

Let the speed of current be x miles per hour.

Speed in upstream = (12-x) miles per hour

Speed in downstream = (12+x) miles per hour

We know that,

[tex]Time=\dfrac{Distance }{Speed}[/tex]

Time to cover 45 miles in upstream = [tex]\dfrac{45}{12-x}[/tex]

Time to cover 45 miles in downstream = [tex]\dfrac{45}{12+x}[/tex]

Total time is 8 hours. So,

[tex]\dfrac{45}{12-x}+\dfrac{45}{12+x}=8[/tex]

[tex]45\left (\dfrac{1}{12-x}+\dfrac{1}{12+x}\right)=8[/tex]

Taking LCM, we get

[tex]45\left (\dfrac{12+x+12-x}{12^2-x^2}\right)=8[/tex]

[tex]45\left (\dfrac{24}{144-x^2}\right)=8[/tex]

[tex]\dfrac{45\times 24}{8}=144-x^2[/tex]

On further simplification, we get

[tex]45\times 3=144-x^2[/tex]

[tex]135=144-x^2[/tex]

[tex]x^2=144-135[/tex]

[tex]x^2=9[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{9}[/tex]

[tex]x=\pm 3[/tex]

Speed cannot be negative. So, x=3 only.

Therefore, the speed of the current is 3 miles per hour.

Answer:

February, it's the shortest month after all.

Answer: February

Step-by-step explanation: People sleep the least amount of time in February because it is the shortest month out off all the months. Your welcome :)

Answer: explain how to graph an equation in slope-intercept form.

Step-by-step explanation: To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer

I think it would be 2,850

Answer:

28.5

Step-by-step explanation:

0.12 x 28.5 = 3.42

That means he bought 28.5 ounces

Answer:

Step-by-step explanation:

To find the length and width of the figure given the equation (s-2) (s+6) = 153​, we will find the equivalent value of s by factoring.

(s-2) (s+6) = 153​

s²+6s-2s-12 = 153

s²+4s-12-153 = 0

s²+4s-165 = 0

s²+15s-11s-165 = 0

s(s+15)-11(s+15) = 0

s+15(s-11) = 0

s+15 = 0 and s-11 = 0

s = -15 and 11

s cannot be negative

Hence s = 11

The length of the figure is s

The width is s+6

Length = 11

Width = 11+6 = 17

Hence the length of the figure is 11 and the width is 17

Answer:

x+21

Step-by-step explanation:

Distribute

4x+21-3x

Combine like terms

X+21

Answer:

=x+21

Step-by-step explanation:

4x+3(7−x)

expand: 3(7-x): 21-3x

=4x+21-3x: x+21

=x+21

Hope this helped :)

Answer:

x - 6

took the assignment

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

The answer is D!

Step-by-step explanation:

When you answer the question you have 4 players who pay $3.5 per player each game the formula would be 4(3.5g). The you have to calculate in the money they paid to rent shoes which is 4x2 or 4(2) so when you combine the equations you get D)4(2)+4(3.5g)!!!

HOPE THIS HELPS!!

Answer:

-12

Step-by-step explanation:

First, substitute the variables with the numbers.

(18-(-2*-5))+4(-5)

Using the order of operations, solve in the parentheses before anything else.

(18-(-2*-5))+4(-5)

(18-(10))+4(-5)

We can now multiply 4 by -5.

(18-(10))+4(-5)

(18-10)-20

It's probably easier if we subtract 10 from 18 before subtracting 20.

(18-10)-20

8-20

-12

Hope this helps you out!! Have a wonderful day c:

Answer:

(b) x > 26 cookies

Step-by-step explanation:

The selling price of 1 super-sized cookie, S.P.=$1.50

Let a batch have x cookies.

So, the selling price of x cookies=1.5x

The expences in making one batch of cookies=$10

So, net profit = 1.5x-10

The given inequality to model this is 1.5x - 10 > y, That means the profit for one batch is greater than y.

As she wants to make a profit of at least $30, so for this condition, the value of y is 30.

Now, the given inequality become,

[tex]1.5x - 10 >30[/tex]

[tex]\Rightarrow 1.5x>30+10[/tex]

[tex]\Rightarrow x>\frac{40}{1.5}[/tex]

[tex]\Rightarrow x>26\frac{2}{3}[/tex]

As x is the number of cookies, so, it can't have a fractional value. This can be written as

[tex]x>26[/tex] or [tex]x\geq27.[/tex]

So, she has to sell more than 26 cookies to make a profit of at least $30.

Hence, option (b) is correct.

Answer:

1

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

Answer:

A

Step-by-step explanation:

Answer:

D Because 0.44 is the same as 0.44 and -5.55 is less than 5.55 and -4.5 is less than 3.60 so it leaves out D

Answer:

D

Step-by-step explanation:

It is larger because the whole number -3 is greater than -4 and closer to 0

Answer:

k = 10

Step-by-step explanation:

The constant of proportionality of a graph in Mathematics is simply the ratio of y to x which can be called the slope.

It's given by; k = y/x

We are given; y = 30 and x = 3.

Thus;

k = 30/3

k = 10