For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?Both f(x) and g(x) cross the x-axis at 5.
Both f(x) and g(x) cross the y-axis at 5.
Both f(x) and g(x) have a maximum or minimum value at x = 5.
Both f(x) and g(x) have the same output value at x = 5.

Answers

Answer 1

Answer: The last statement is the valid one: both f(x) and g(x) have the same output value at x = 5.

f(x) at x = 5 is f(5), this is the output of the function f when x =5
g(x) at x = 5 is g(5), this is the output of the function g when x =5

Then the two output have the same value at x =5.

Answer 2

Answer:

Answer:

D) Both f(x) and g(x) have the same output value at x = 5.

Step-by-step explanation:

Got it right on the exam :)

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What is the value of x in the equation −6 + x = −2?8

4

−4

−8

Answers

B. = 4

How do you Find X in an equation?

angle A + angle B + angle C = 180 degrees. Solve for x in the fractions, we simply do the cross multiplication or simplify a equation by find x. For example: Solve for x for the equation ⇒ 2/5 = x/10. We could use the system of the equations solver to find the value of x when we have equations with different variables.

Given −6 + x = −2

We have to solve for x

-6 + x = -2

x = -2 + 6

x = 4

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-6 + x = -2

first, add 6 to both sides.

x = -2 + 6
x = 4

Someone please help me ASAP! Worth 10 points

Answers

Answer:

(-1,-1)

Step-by-step explanation:

Step 1 identify coordinates of A

A is located at ( -3 , -3 )

Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor

Given:

scale factor = 1/3

Coordinates of A: ( -3 , -3 )

* Multiply the x and y values by 1/3 *

( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )

The new coordinates would be (-1,-1)

multiply the coordinates of A by the scale factor given

In which quadrants is the ordinate positive?a)I and II
b)II and III
c)I and IV

Answers

The ordinate is the y element in an ordered pair in a Cartesian coordinate system. The quadrants in which the ordinates are positive should be at quadrants I and II. Therefore, the correct answer from the choices listed above is option A.

Answer:

The Answer Is A

Step-by-step explanation:

A spherical ballon with a radius r inches has volume V(r)=4/3 pir^3. Find a function that represents the amount of air required to inflate the balloon from a radius inches to a radius of r+1 inches.

Answers

Answer:

The function that represents the amount of air is $\Delta V =\cfrac 43 \pi (3r^3+3r+1)$

Step-by-step explanation:

The amount of air here represents the difference between V(r) and V(r+1), so we can start working by finding an expression for the volume at r+1, and then subtract the original volume V(r).

Volume of balloon of radius r+1 inches.

We can replace r with r+1 on the formula and we get:

$V(r+1)=\cfrac43 \pi (r+1)^3$

We can expand $(r+1)^3$ since we will use it to simplify it later on.

So we will have first

$(r+1)^2 = (r+1)(r+1)\n(r+1)^2 =r^2+r+r+1\n(r+1)^2 = r^2+2r+1$

We can multiply that result by (r+1) to get $(r+1)^3$

$(r+1)^3= (r+1)^2 (r+1)\n(r+1)^3=(r^2+2r+1)(r+1)\n(r+1)^3= r^3+2r^2+r+r^2+2r+1\n(r+1)^3 =r^3+3r^2+3r+1$

Thus the volume equation at r+1 will be

$V(r+1)=\cfrac 43 \pi (r^3+3r^2+3r+1)$

Finding the amount of air required to inflate from r to r+1

The amount required to inflate is the difference of volumes, so we have

$V(r+1)-V(r)=\cfrac 43 \pi (r^3+3r^2+3r+1) \cfrac 43 \pi r^3$

Combinging both into one term by factor $\cfrac 43 \pi$ give us

$V(r+1)-V(r)=\cfrac 43 \pi (r^3+3r^2+3r+1-r^3)$

Simplifying

$V(r+1)-V(r)=\cfrac 43 \pi (3r^2+3r+1)$

And that function represents the amount required to inflate the balloon from r to r+1 inches.

What is the seventh term of the sequence whose nth term is (n + 1)(n − 2)?A.) 28

B.)35

C.) 36

D.) 40

Answers

To do this, you simply substitute 7 into the equation.

[(7) + 1][(7) − 2]
BODMAS tell us that we should do the sum in the brackets before anything else.
(8)(5)
8 X 5 = 40

The seventh term is 40. The answer is D)

Can sides of a triangle have lengths 3,4,9

Answers

No, the lengths 3, 4, and 9 cannot form the sides of a triangle.

What is Triangle Inequality?

The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We have sides as 3, 4 and 9.

For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.

In this case, let's check if this condition is satisfied:

3 + 4 = 7

7 is less than 9

Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.

Learn more about triangle inequality theorem here:

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Answer:

yes

Step-by-step explanation:

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