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goldfiish [28.3K]
3 years ago
7

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

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Based on the markings, EXPLAIN why each<br> figure is or is not be a parallelogram.
Leviafan [203]
You need two // sides. Thus this figure doesnt show that
3 0
4 years ago
Evaluate the expression 9-3÷1/3+1 <br>A. 9 <br>B. 3 <br>C. 1 <br>D. 19​
ikadub [295]
PEMDAS
P- none
E- none
M- none
D- (3/1/3=1)
AS- 9-1+1=9

The answer is A.
7 0
3 years ago
a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two w
Kruka [31]

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

<h2>Given data</h2>

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

<em>Pr(W1) = 2/8 = 1/4</em>

<em>The probability of selecting the second white mug is </em>

<em>Pr(W2) = 1/7</em>

<em />

Hence the probability of selecting  two white mugs one after another

= 1/4*1/7

=1/28

Learn more about probability at:

brainly.com/question/25839839

6 0
2 years ago
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
The cost of a new television is $948. If the value of the television decreased by 4.5% every year which function modelsthevalue
Vadim26 [7]

Answer:

t(x) = 948 (0.955)^x

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3 years ago
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