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olga_2 [115]
4 years ago
9

Determine which expressions are polynomials. Explain your reasoning.

Mathematics
1 answer:
Tom [10]4 years ago
8 0

Answer:

A, B

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains two terms that with second and first power of x. Therefore, the expression in A is a polynomial. Option B contains three  terms that with second, first power of x and coefficient. This is a polynomial too. Option C represents the absolute value of x and doesn't represent a polynomial.

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Evaluate each function.<br> 1) f(x) = x2 + 4x; Find f(-7)
katrin [286]

Answer:

The answer is -77

Step-by-step explanation:

Ok, so assuming by x2 you mean x squared, I will solve this. So basically when you have a function, f(-7) would mean that you would have to replace all the x's in the equation with -7. So let's write that out. that would be f(-7) = -7^2 + (-7*4). So now according to PEMDAS, you would solve the exponent first, and -7^2 is equal to -49, because when you solve it you would do -(7^2), which is -(49), which is then -49. So now you have f(-7)= -49+ (4*-7). Solving for (4*-7), you get -28. This leaves you with -49 + (-28), which is -49 - 28. Simplifying that, you get the answer, which is -77.

5 0
3 years ago
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable
docker41 [41]

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25

b) The standard deviation of y is:

\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75

6 0
3 years ago
Polygon PQRS, shown in the figure, is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in p
nata0808 [166]

Based on the above:

The slope of P'Q'  is = -3/2

The length of  P'Q' is approximately = \sqrt[3]{13}

<h3>What is the polygon about?</h3>

The slope of P'Q'

=  -6/4 = -3/2

The length of  P'Q' =

 P'Q' = \sqrt{6^2 + 4^2}

= \sqrt{52}

= \sqrt[2]{13}

Therefore;

P'Q' = \frac{3}{2}

 P'Q' =    \frac{3}{2}  x \sqrt[2]{13}

= \sqrt[3]{13}

Learn more about polygon from

brainly.com/question/1592456

#SPJ1

7 0
2 years ago
Six items purchased at a grocery store weigh 11 kilograms one of the items is detergent weighing 556 grams what is the total wei
slavikrds [6]

556 \: g \times  \frac{1 \: kg}{1000g} = 0.556 \: kg

11 \: kg - 0.556 \: kg = 10.444 \: kg

The total weight of the other five items are 10.444 kg

<em>(round as you wish)</em>

7 0
3 years ago
What is the factored for of the polynomial x2 - 16x + 48
mel-nik [20]
What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)
5 0
3 years ago
Read 2 more answers
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