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Afina-wow [57]
3 years ago
8

If a || b in the diagram below, then which of the following statements is correct?

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

Stepfff-by-step explanation:

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Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 3 chairs left ov
exis [7]

9x + 3 = 7x +19

2x + 3 = 19

2x = 16

x = 8

So, x (8) is the number of chairs in each row with these setups. 

Plug 8 into one of the equations and you will find how many chairs total there are.

9(8) + 3 = 75

There are 75 chairs total

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3 years ago
Melanie read 45 pages of a 1 age book her younger sister read 1/2 of a 10 page book.who reads greater fraction of her book?
xenn [34]
Melanie read the greater fraction of her book 1/45
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A.) False
b.) True
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3 years ago
The binomial (2x+6) is a factor of a quadratic expression 10x^2+18x-36 what is the other factor of this expression?
madreJ [45]

Answer:

The other factor of the polynomial is (5x -6)

Step-by-step explanation:

Here, we want to find the other factor of this binomial expression

To find the other factor, we simply proceed to divide the polynomial by the binomial

That would be;

(10x^2 + 18x - 36)/(2x + 6)

= 5x - 6

5 0
2 years ago
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

4 0
3 years ago
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