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3 years ago

7

The rule below shows how the cost of renting a kayak depends on how long it is rented. multiply the number of hours by $16, then

subtract $10. if c = cost in dollars and h = number of hours, which equation expresses the rule above?

1 answer:

allochka39001 [22]3 years ago

3 0

C=16h-10. 16 times hours minus 10

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What polynomial identity should be used to prove that 35 = 8 + 27

Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

Take RHS

8+ 27

We can write 8 as $2 \times 2 \times 2 = 2^3$ and 27 as $3 \times 3 \times 3 = 3^3$ .

then;

8+27 = $2^3+3^3$

Now, use the sum of cubes identity;

here a =2 and b = 3

$2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)$

or

$2^3+3^3 = (5)(4-6+9)$ $= 5 \cdot 7 = 35$ = LHS proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0

3 years ago

Read 2 more answers

Help pls :’( ASAPP!!!<br> “Complete the proof”

nata0808 [166]

1) $\overline{AB} \cong \overline{CD}$ , $\overline{AD} \cong \overline{CB}$ , $\overline{AX} \perp \overline{BD}$ , $\overline{CY} \perp\overline{BD}$ (given)

2) $\overline{BD} \cong \overline{BD}$ (reflexive property)

3) $\triangle ABD \cong \triangle ACDB$ (SSS)

4) $\angle ADB \cong \angle CBY$ (CPCTC)

5) $\angle CYB$ and $\angle AXD$ are right angles (perpendicular lines form right angles)

6) $\triangle CYB$ and $\triangle AXD$ are right triangles (a triangle with a right angle is a right triangle)

7) $\triangle AXD \cong \triangle CYB$ (HA)

8) $\overline{AX} \cong \overline{CY}$ (CPCTC)

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2 years ago

How do I do this? please help Im stuck on this and I cant understand the concept.

miskamm [114]

Answer:

take the total number of all x variables

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3 years ago

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea

777dan777 [17]

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, $Y=\text{Profit}-\$2$

$Y=X-\$2$

So the mean will be reduced by 2.

$\mu_Y=\mu_X-\$2$

$\mu_Y =\$ 8.56 - \$2$

$\mu_Y =\$6.56$

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore $\sigma_Y=\sigma_X=2.77$

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

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3 years ago

Write the function that shows a translation of f(x) two units to the left.

Galina-37 [17]

Answer:

Step-by-step explanation:

Suppose the base formula is y = x^2

You want to go two units left.

basically that is y = (x + 2)^2 just the opposite of what you might think it should be.

Where does the base function have a minimum? It's minimum is as x = 0 and y = 0

Where does y = (x + 2)^2 have it's minimum?

(-2,0)

conclusion. The base function has moved 2 units to the left.

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3 years ago