Enter an expression into each box to create a true equation 30x + __=6(_

Help!!!!!! Please I have no idea what this is!!!

Semmy [17]

Answer:

33.49 cubic units

Step-by-step explanation:

$V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3$

7 0

3 years ago

Rewrite the explicit formula in function form. The identify the y

Katyanochek1 [597]

Answer: y-intercept: (0, 12)

Step-by-step explanation:

$a_n$ = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Find the values of m and b using the form y = mx + b.

m = −3

b = 12

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: −3

intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Find the x-intercept.

To find the x-intercept(s), substitute in 0 for y and solve for x.

0 = −3x + 12

Solve the equation.

Rewrite the equation as −3x + 12 = 0.

−3x + 12 = 0

Subtract 12 from both sides of the equation.

−3x = −12

Divide each term by −3 and simplify.

x = 4

x-intercept(s) in point form.

x-intercept(s): (4, 0)

Find the y-intercept.

To find the y-intercept(s), substitute in 0 for x and solve for y.

y = −3 ⋅ 0 + 12

Solve the equation.

Remove parentheses.

y = −3 ⋅ 0 + 12

Simplify −3 ⋅ 0 + 12.

y = 12

intercept(s) in point form.

intercept(s): (0, 12)

Create a table of the x and y values.

x | y

0 | 12

4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

6 0

3 years ago

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 - x2?

statuscvo [17]

The answer is 54 square units.
let the vertex in quadrant I be (x,y)
then the vertex in quadratnt II is (-x,y) 
base of the rectangle = 2x 
height of the rectangle = y 
Area = xy 
= x(27 - x²) 
= -x³ + 27x 
d(area)/dx = 3x² - 27 = 0 for a maximum of area 
3x² = 3 x 3² = 27 
x² = 9 
x = ±3 
y = 27-9 = 18 
So, the largest area = 3 x 18 = 54 square units

5 0

3 years ago

Read 2 more answers

Help please and thank you so much! i inserted the picture of the questions

Bond [772]

1. Points F and C
2. 2
3. (3,4)
4. (1,-2)
5. Quadrant 4
6. (-3,-3)
(I also added a photo of a graph with the labeled quadrants to help you)