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4 years ago

7

Using the remainder theorem, which is not a factor of

xFormula1" title="x^4-3x^3-17x^2+39x-20?" alt="x^4-3x^3-17x^2+39x-20?" align="absmiddle" class="latex-formula">
A. x-1
B. x+4
C. x-5
D. x+1

1 answer:

True [87]4 years ago

4 0

Answer:

D.

$x + 1$

Step-by-step explanation:

$x^4-3x^3-17x^2+39x-20 = \\ = (x - 5) {(x - 1)}^{2} (x + 4)$

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The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter tha

kari74 [83]

Answer:

53.2 kg

Step-by-step explanation:

Let E represent Esther's weight. Then Henry's weight is E/2, and David's weight is E-5.2. Their average weight is ...

((E-5.2) + E + (E/2))/3 = 42.6

2.5E -5.2 = 127.8 . . . . . . . . . . multiply by 3, simplify

2.5E = 133 . . . . . . . . . . . . . . . . add 5.2

E = 133/2.5 = 53.2 . . . . kg

Esther's weight is 53.2 kg.

7 0

3 years ago

a warehouse store sells 5.5-ounce cans of tuna in packages of 6. a package of 6 cans costs $9.24. the store also sells 6.5-ounce

Allushta [10]

9.24 / (5.5 * 6) = 9.24 / 33 = 0.28 per oz

4.68 / (6.5 * 3) = 4.68 / 19.5 = 0.24 per oz

4.48 / (3.5 * 4) = 4.48 / 14 = 0.32 per oz

so the lowest cost is the 6.5 oz tuna in packs of 3 cans for 4.68

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to x³ - x² - 14x + 24?

serg [7]

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

$= (x - 2) \frac{x ^{3} -x^{2} - 14x + 24}{x - 2}$

<h3>2. $\frac{ {x}^{3} - {x}^{2} - 14x + 24 }{x - 2} = {x}^{2} + x - 12$ </h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

= ( x - 2 )( x - 3 )(x + 4 )

<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>

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2 years ago

Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?

Sergio039 [100]

Carter has 25 dimes. He has 12 nickels.

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3 years ago

Santana had a goal to read 50 pages of his

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He read 110 pages i think

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3 years ago