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asambeis [7]
3 years ago
12

Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

Answer:

the smallest r is the 4r and the biggest r is the r^2

VERTEX (-2,-64)

Step-by-step explanation:

Pepsi [2]3 years ago
5 0

Answer:

smaller r = -10

larger r = 6

The ordered pair for the vertex of the parabola is (-2,-64)

Step-by-step explanation:

We have the function f(r)=r^2+4x-60

In order to factor this quadratic equation, we need to look for two numbers that will

Add together to get 4

Multiply together to get -60

Lets look for the numbers that multiply to give us -60.

-1 and 60

1 and -60

2 and -30

-2 and 30

3 and -20

-3 and 20

4 and -15

-4 and 15

5 and -12

-5 and 12

6 and -10

-6 and 10

Now, we just need to determine which of these numbers will add together to get us 4.

Those two numbers would be -6 and 10.

This means that our factored form of this equation will be

f(r)=(r-6)(r+10)

From this, we can find our roots, which are the solutions to the equation when it is equal to 0.

(r-6)(r+10)=0\\\\r=-10, r=6

These are our r values.

The vertex of a parabola will always be directly between the two roots.

The number that is between -10 and 6 is r=-2

To find the y-value of the coordinate pair, we just need to plug -2 into our function.

f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64

This means that the ordered pair for the vertex of the parabola is (-2,-64)

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Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
ElenaW [278]

Answer:

y=x^2+x-12

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

y=x^2-8-4+x\\y=x^2+x-12

6 0
2 years ago
What is the slope of points (4,9) (-8,-6)? ​
12345 [234]

Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

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6 0
3 years ago
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What is the area of the triangle
ehidna [41]

Answer:

45.1 km^2

hope this helps

have a good day :)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please help me solve !!!!!!!!!!!!!!!
Dima020 [189]

Answer:

4x - 3y = 4

-3x + 3y = -6

x = -2

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-y = 4

y = -4

(-2,-4)

5 0
3 years ago
i don’t know how to divide integers and i have a test tomorrow based on adding subtracting multiplication and division on intege
ryzh [129]

In order to divide integers, the first thing to check is the sign:

- When dividing two positive integers, the result will be a positive integer.

- When dividing two negative integers, the result will be a positive integer.

- When dividing integers with different signs (one negative and one positive), the result will be a negative integer.

Then, after checking the sign, we need to calculate the value of the division.

Some examples of divisions are:

\frac{24}{8},\frac{-15}{5},\frac{-100}{-10}

In the first division, the result is 3, because we have that 8 * 3 is equal 24.

Also, both numbers are positive, so the result is also a positive number.

In the second division, the result is -3, because 5 * (-3) is equal -15.

The result is negative, because the two numbers have different signs.

In the third division, the result is 10, because -10 * 10 is equal -100.

The result is positive, because both numbers are negative.

4 0
1 year ago
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