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gladu [14]
3 years ago
5

Sally bakes 80 cupcakes for a bake sale. She sold 4 cupcakes and earned $8. How much money can she earn if she sells all the cup

cakes.
Mathematics
2 answers:
statuscvo [17]3 years ago
8 0
4/8 = 1/5 = .50

That means each cupcake equals $0.50.

Now, multiply

80 * .5 = 40

Answer: Sally would earn $40 if she sells all the cupcakes
SVETLANKA909090 [29]3 years ago
6 0
TO find out how much she would earn for 80 cupcakes we will find the unit rate for the amount she sold and how much she earned. Lets do it:-


8/4 = .50

$0.50 per cupcake

0.50 * 80 = 40

So if she sells 80 cupcakes she will earn $40. 

<span>Hope I helped ya!!! xD </span> 
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olga2289 [7]

Answer:

Factor theorem: f(-5) = 0.

Synthetic division: f(x) = (x + 5)\, (2\, x^2 -3\, x + 1).

Step-by-step explanation:

<h3>Factor Theorem</h3>

By the factor theorem, a monomial of the form (x - a) (where a is a constant) is a factor of polynomial f(x) if and only if f(a) = 0.

In this question, the monomial is (x + 5), which is equivalently (x - (-5)). a = -5.

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Hence, by the factor theorem,  (x + 5), which is equivalent to (x - (-5)), is a factor of f(x).

<h3>Synthetic Division</h3>

\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}.

The remainder is 0 when dividing f(x) by (x + 5). Hence, (x + 5)\! is a factor of f(x)\!.

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Step-by-step explanation:

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