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tigry1 [53]
3 years ago
13

Andrew must spend less than $72 on meals during the weekend. He has already spent $27 on meals, with each meal costing $9 on ave

rage.
9x + 27 < 72

How many additional meals can Andrew buy this weekend?
A.
x < 9
B.
x < 45
C.
x < 27
D.
x < 5
Mathematics
1 answer:
NeX [460]3 years ago
3 0
The answer is D. x < 5.
9x+27 <72
9x <72-27
9x <45
x <45÷9
x <5
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Find the vertex of the given quadratic function.
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B

given f(x) in factored form, equate to zero for x-intercepts

(x - 8)(x - 4) = 0, hence

x = 4, x = 8 ← x- intercepts

The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts

x- coordinate of vertex = \frac{4+8}{2} = 6

f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate

vertex = (6, - 4 ) → B




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3 years ago
she walks up 9 flights of stairs. If there are 13 steps in 1 flight of stairs, how many steps does Kay climb in 5 days at work?
Lena [83]
13 * 9
And then multiply that answer by 5.
6 0
3 years ago
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Hours (x) 0 1 2 3 4 5
MatroZZZ [7]
The answer is D) 3,404

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5 0
3 years ago
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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
Plz help me please
Ainat [17]
The answer would be A) July

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