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lyudmila [28]
3 years ago
9

Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48? 4 (2 + 6) 4 (

8 + 6) 8 (1 + 6) 8 (2 + 6)
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
Number 4 2+6 is the answer
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When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x
geniusboy [140]
f(x)=\frac{(x+3)(x-2)(x+5)}{(x-3)(x+2)(x-5)}

Bobby is right, because at x = -2, 3, and 5, the denominator of the function equals zero, which is by definition undefined.
7 0
3 years ago
Sara sold hotdogs and drinks at the soccer game.
Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0
3 years ago
Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




<span>


</span>
5 0
4 years ago
Read 2 more answers
What is The equation of a circle with radius, r= 4, and the center at (0, 0)?
Dimas [21]

Answer:

x^2+y^2=16

Step-by-step explanation:

i think so

6 0
3 years ago
Suppose that Y1,....Yn are i.i.d random variables with a N (μγ, σ^2y) distribution. How would the probability density of Y chang
klemol [59]

Answer:

A

Step-by-step explanation:

As the sample size n increases, the sample mean (μy) becomes a more accurate estimate of the parametric mean, so the standard error of the mean becomes smaller. Therefore, the variance of y decreases and the distribution of y becomes highly concentrated around μy.

7 0
4 years ago
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