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3 years ago

12

John wrote the binomial 2x - 7. Sus wrote the binomial 3x + 5 . The teacher told the two to find the product. What is the produc

t? Show all your work

1 answer:

klemol [59]3 years ago

5 0

Answer:

x=-12

Step-by-step explanation:

2x-7=3x+5

+7 to both sides

this leaves you with 2x=3x+12

-3x from both sides

this leaves -x=12

switch the symbols

this makes it x=-12

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tia_tia [17]

The ratio is 4:5
Divide both terms by 4
16/4 =4
20/4=5

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3 years ago

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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

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$P = 2 * ( L + W)$

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$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

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$A = 50W - W^2$

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3 0

3 years ago

Pls help I’ll give brainiest to whoever helps

Gre4nikov [31]

Answer:

K'(-3,-2) and A'(-2,5)

Step-by-step explanation:

180 degree rotation = (x,y)---(-x, -y)

hence, if k=(3,2)

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7 0

3 years ago

If <img src="https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2" id="TexFormula1" title="f(x)=x^2-2" alt="f(x)=x^2-2" align="absmiddle"

jek_recluse [69]

Answer:

$\boxed{f(6) = 34}$

Step-by-step explanation:

Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as $(f \circ g)(2)$ , we are replacing the x values in the g(x) function with 2 and simplifying the expression.

$g(2) = 3(2)$

$g(2) = 6$

Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.

$f(6) = (6)^2-2$

$f(6) = 36-2$

$f(6) = 34$

Therefore, when we compose the functions, our final answer is $\bold{f(6) = 34}$ .

4 0

4 years ago

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