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CaHeK987 [17]
3 years ago
15

Which of the following functions best describes this graph??

Mathematics
2 answers:
tino4ka555 [31]3 years ago
7 0

Answer:

The correct answer is b

artcher [175]3 years ago
5 0

Answer:

A) y = x² - 8x + 15

Step-by-step explanation:

We can see that the roots of this equation (the x-intercepts) are at x = 3 and x = 5.  Plugging this into factored form gives us

y = (x-r₁)(x-r₂)

y = (x-3)(x-5)

Multiplying, we have

y = (x)(x)-5(x)-3(x)-3(-5)

y = x²-5x-3x--15

y = x²-8x+15

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at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. afte
qwelly [4]
Hi there! The answer is 30 hours.

Let the number of worked hours be represented by X.

The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X

We end up with the following equation:
10x + 60 = 12x
Subtract 10X from both sides.

60 = 2x
Divide both sides by 2.

x = 30
Therefore, after 30 hours of work Rebecca will earn the same amount of money.
8 0
3 years ago
The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter
ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

\displaystyle y=a(x-h)^2+k

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.

Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

\displaystyle y=a(x-(-2))^2+(-3)

Simplify:

y=a(x+2)^2-3

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

(-2)=a(-5+2)^2-3

Solve for <em>a</em>. Simplify:

\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}

Therefore, our full vertex equation is:

\displaystyle y=\frac{1}{9}(x+2)^2-3

We can expand:

\displaystyle y=\frac{1}{9}(x^2+4x+4)-3

Simplify:

\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}

The coefficient of the squared term of the equation is 1/9.

3 0
3 years ago
What is the inverse operation of subtract 18? A. subtract 18 B. multiply by 18 C. add 18 D. divide by 18​
Anestetic [448]
Answer is A. Subtract 18
4 0
3 years ago
Read 2 more answers
Describe the relationship between n and 4 that will make the value of the expression 7×n/4 great her than 7
nadezda [96]
If you want an answer greater that 7, your fraction needs to be greater than 1.
n can be any number greater than 4

7 \times  \frac{4}{4}  = 7
7 \times  \frac{8}{4}  = 14
5 0
3 years ago
A {1,2,3,4}<br> B {2,4,9,16}<br> C {1,2}<br> D {1,2,3,4,9,16}
MaRussiya [10]

Answer:

B

Step-by-step explanation:

The range of the function consists of the set of output values ( on the right).

So its {2 4 9 16}

7 0
3 years ago
Read 2 more answers
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