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dmitriy555 [2]
3 years ago
7

If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4).

Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

False

Step-by-step explanation:

Given

Polynomial: f(x)

Divisor: (x - 4)

Required

Determine the remainder

To determine the remainder, we have to equate x - 4 to 0

i.e.

x - 4 = 0

Add 4 to both sides

x - 4+4 = 0+4

x = 0+4

x = 4

Substitute 4 for x in f(x) to get the remainder.

So, f(x) becomes f(4)

The result of f(4) is the remainder f(x) when divided by x - 4

<em>Hence, the statement is false.</em>

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darlene wants to buy martian invader video game. The video game price is $100. Darlene has a coupon for 25%. What is the price o
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The answer to this question would be d

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Which ordered pairs are solutions to the inequality 3x-4y&gt;5
Sloan [31]

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

3x-4y>5

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

3\left(3\right)-4y>5

9-4y>5

-4y>-4

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

\left(-4y\right)\left(-1\right)

4y

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4y}{4}

y

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

3\left(3\right)-4\left(0.9\right)

=9-3.6

=5.4

  • As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

6 0
2 years ago
A number that divided by 3 leaves 2, divided by 5 leaves 3 and divided by 7 leaves 2. What is the number?
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x=15

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Each time, you multiply both sides by the denominator.

Hope this helps :)
7 0
3 years ago
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