HELP ME ASAP graph f(x)=3x+4 and h(x)=f(x+3)

A line with slope

spayn [35]

Answer:

(0, 8/3) = y-intercept

Step-by-step explanation:

I chose to find the y-intercept since it is easy to find with the given information.

The equation for a line is y = mx + b

To find the y-intercept, we must plug in the info we have and solve for b:

4 = -1/3 (-4) + b

4 = -4/3 + b

8/3 = b

To find a point on the line, you also could have added -1 to 4 and 3 to -4 since slope means rise/run or change in y/change in x:

(y - 1) / (x + 3) = (4 - 1) / (-4 + 3) = (3, -1) (flip since it's the y and x coordinate) = (-1, 3)

6 0

2 years ago

The RANGE of the function f is

monitta

Answer:

Step-by-step explanation:

The range of the function is what values of y from lowest to highest that are covered by the function. The domain are the values on the left: A-E; the range are the values on the right: 1-3. We state both domain and range in interval notation, stating only the lowest and highest values in either a set of brackets if the values are included, a set of parenthesis if the values are not included, or a mixture of both. Our range is inclusive, so we mention the lowest and the highest only: [1, 3].

7 0

2 years ago

If 9(x-9) = -11, then x= ? A. - 92/9 B. -20/9 C. - 11/9 D. -2/9 E. 70/9

miskamm [114]

The answer is x= -11/9

8 0

3 years ago

Which quadratic equation defines the function that has zeros at -8 and 6?

Citrus2011 [14]

Answer is D.) Hope I could help have a good day

7 0

3 years ago

A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t

andreyandreev [35.5K]

Answer:

r = 2.632 cm
h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

r² = 3V/(πh)

The lateral surface area of the cone is ...

A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

dT/dh = -18V²/h³ +3πV

This will be zero when ...

3πV = 18V²/h³

h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

__

Interestingly, the ratio of h to r is √2.

8 0

3 years ago