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3 years ago

10

Eamon is arranging 39 books on 3 shelves. If he puts the same number of books on each shelf, how many books will there be on eac

h shelf?

1 answer:

blagie [28]3 years ago

7 0

39 times 3 = 117. Hope this helps

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If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commuto f

notka56 [123]

Answer:

Yes, a loan would meet our requirement to commute for an impressive summer internship program next year

Step-by-step explanation:

Taking a loan would meet our requirement of buying a car. We will be able to make the downpayment. This will enable us to buy a car. So the decision to take the loan will be valid. It will help us in commuting easily for the summer internship program. We will immediately get the car after making a down payment and will avail of the benefits of using the car. This is a healthy type of debt.

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2 years ago

Austin checks the temperature at 10:00 p.m. He notices if the temperature

Alecsey [184]

Answer:

A. t - 5 < 26°

Step-by-step explanation:

Record low temperature for that date = 26°

Temperature at 10:00 PM = t

A fall in temperature by 5° = t - 5

Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.

In mathematical expression, this is expressed as;

t - 5 < 26°

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2 years ago

What are the solutions to the equation 0 = x2 - X-6? Select two options

Ganezh [65]

Step-by-step explanation:

x2 - x - 6 = 0

x2 - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

x - 3 = 0. x + 2 = 0

x = 3 x = - 2

Option no 2 and 5 are the correct answer

8 0

3 years ago

Help me please !!<br> I need this ASAP please helpppp

Kobotan [32]

Answer:

C

Step-by-step explanation:

$y=(2x-3)/5$

$5y=2x-3$

$(5y+3)/2=x$

$(5x+3)/2=y$

$f^{-1}(x)=(5x+3)/2$

8 0

2 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

2 years ago

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