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3 years ago

Please help!

Mathematics

2 answers:

lions [1.4K]3 years ago

3 0

Michelle's result shows f(2) = -13, selection C.

chubhunter [2.5K]3 years ago

3 0

Answer:

C. -13

Step-by-step explanation:

The polynomial f(x) she is dividing would be f(x)=1x²-7x-3. This is because in synthetic division, the numbers used are the coefficients of the polynomial, and the polynomial will have a degree one larger than the divisor. Since the divisor is x-2, with a degree of 1, the polynomial will have a degree of 2, meaning it begins with an x².

The first coefficient is 1; this is 1x². The second coefficient is -7; this is -7x. The last coefficient is -3; this is -3. Together, this gives us

f(x) = 1x²-7x-3

To find f(2), substitute 2 in for every x:

f(2) = 1(2²)-7(2)-3 = 1(4)-14-3 = 4-14-3 = -10-3 = -13

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Which of the following values cannot represent the side length of a triangle?

MissTica

The answer would be <span>6.5.12

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7 0

3 years ago

Read 2 more answers

How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

$64 - 27$

we know that

$64 - 27 = 37$

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

$1(16 + 12 + 9) = 1(37) = 37$

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

$(5 - x)( {5}^{2} + 5x + {x}^{2} ) =$

$(5 - x)(25 + 5x + {x}^{2} )$

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3 years ago

Read 2 more answers

Brian made 5 free throws at basketball practice. ethan scored 3 more than twice the number of free throws brian made. which equa

Hatshy [7]

Lets Brian => b and Ethan => e so
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3 years ago

Please help me with these two :/

serg [7]

The first answer is 80, and the second answer is still 65.5. Hope this helps!

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3 years ago

Use the formula for compound interest, a P 1 i n = ^ h + , to determine how many years it will take for an investment of W10 000

Sergeu [11.5K]

The money will be triple after 15 years and 303 days.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

Principle (P) = $10,000

The amount will be triple.

So, Amount (A) = $30,000

Rate (r) = 7% = 0.07

The interest is compounded quarterly.

n = 4

We have to find the value of t.

Let,

$A = P(1+\frac{r}{n})^n^t\\ 30000 = 10000(1+\frac{0.07}{4})^4^t\\\frac{30000}{10000} = (1 + 0.0175)^4^t\\ 3 = (1.0175)^4^t$

Apply logarithm on both sides,

$log(3) = log(1.0175)^4^t\\log(3) = 4t log(1.0175)\\t = \frac{log(3)}{4(log(1.0175))} \\t = \frac{0.4771212547}{4(0.0075344179)} \\t = \frac{0.4771212547}{0.0301376716} \\t = 15.83139$

Hence, the money will be triple after 15 years and 303 days.

To know more about compound interest, click on the link

brainly.com/question/24274034

#SPJ4

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1 year ago