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3 years ago

I don’t know how to do the hole page

Mathematics

1 answer:

FrozenT [24]3 years ago

8 0

#7
20%•$300
$60
300-60
240
Hope this helps!!

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Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago

What is the solution to this equation?

Diano4ka-milaya [45]

Answer:

C. x=13

Step-by-step explanation:

add the 13 to the -4 and you will get your 9

5 0

3 years ago

Read 2 more answers

Given a sphere with a diameter of 6 cm, find its volume to the nearest whole<br> number.

mezya [45]

Answer:

Volume of the sphere is $1.13\times 10^{-4}m^3$

Step-by-step explanation:

It is given diameter of the sphere d = 6 cm = 0.06 m

Radius of the sphere

$r=\frac{d}{2}=\frac{0.06}{2}=0.03m$

We know that volume of the sphere is given by

$V=\frac{4}{3}\pi r^3$

Therefore ,

$V=\frac{4}{3}\times 3.14\times 0.03^3$

$=1.13\times 10^{-4}m^3$

Therefore volume of the sphere is $1.13\times 10^{-4}m^3$

6 0

3 years ago

3. Fernando bought 5 pencils for $1.00.

irga5000 [103]

Answer:

Step-by-step explanation:

100 is equal to $1.

100/5=20

8 0

3 years ago

Read 2 more answers

Question 4 please. I will mark brainliest!! i would at least like the equation of the graph thank you

Anestetic [448]

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c. (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0 when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

3 0

3 years ago