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3 years ago

DS

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

Step-by-step explanation:

Every input (x) has exactly 1 output (y)

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Solve 34*17 using an area model

Monica [59]

Well put 34 units on the left vertically and 17 units on the bottom hoizontially... fill it up and count how many you have

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3 years ago

Read 2 more answers

Shawn picked some vegetables from his garden.he picked 2.234 pounds of corn 2.205 pounds of tomatoes and 2.25 pounds of potatoes

Tatiana [17]

Answer: The correct answer is H.

Step-by-step explanation: The correct order of the weights from largest to smallest is shown in choice H. The correct order is 2.25, 2.234, 2.205.

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3 years ago

Mr. Erickson will be living in the forest

aliina [53]

<em /> $\huge{\boxed{60\ \text{ft}^{3}}}$ <em />

<em>We will assume the tent is in the shape of a triangular prism.</em>

The volume of a triangular prism can be found with the following formula, where $b$ is the width at the base, $h$ is the height, and $l$ is the length.

$V=\frac{1}{2}bhl$

Substitute in the known values.

$V=\frac{1}{2}*5*3*8$

Simplify — use multiplication.

$V=\frac{5}{2}*3*8$

$V=\frac{15}{2}*8$

$V=\frac{120}{2}$

Simplify — use division.

$V=\large{\boxed{60\ \text{ft}^{3}}}$

The volume — or in this case, the amount of living space — is $60\ \text{cubic feet}$ .

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3 years ago

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

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4 years ago

Determine if the relation is a function if so state the domain and range

Sedaia [141]

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

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3 years ago