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3 years ago

Jackson is attending a lacrosse game that is halfway through the first quarter.

Mathematics

1 answer:

shtirl [24]3 years ago

8 0

Answer:

4) 1/8

5) 56

6) 49

First shaded boxes = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

Step-by-step explanation:

1/2x1/4=1/8

7X8=56

59-7=49

First shaded boxes = 4 out of 7 are shaded = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

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3 years ago

Factor completly x^2 -64

Hoochie [10]

∑ Hey, jillianwagler ⊃

Answer:

$\left(x+8\right)\left(x-8\right)$

Step-by-step explanation:

⇒ Given info:

Factor completely $x^2 -64$

⇒ Solution:

Rewrite 64 as 8 ² because 8² is equal to 64. 8 ² = 8 × 8 = 64.

$=x^2-8^2$

Applying difference of two squares formula: $x^2-y^2=\left(x+y\right)\left(x-y\right)$

$=x^2-8^2=\left(x+8\right)\left(x-8\right)\\$

$=\left(x+8\right)\left(x-8\right)$

Answer~: $\left(x+8\right)\left(x-8\right)$

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2 years ago

5/2x-3 is this a monomial, binomial, or trinomial

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3 years ago

Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9

rusak2 [61]

Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form $ax^2+bx+c$ . To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
$x^2+2x-8=(x+4)(x-2)$
In the denominator we have a difference of squares:
$x^2-9=x^2-3^2=(x+3)(x-3)$

Now we can rewrite our function:
$y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)}$

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at $x=3$ and $x-3$

We can conclude that the graphic of our rational function is:

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