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3 years ago

Express as a trinomial.

Mathematics

2 answers:

guapka [62]3 years ago

6 0

Answer:

Step-by-step explanation:

Use Foil

f: x * x = x^2

o: x * 1 = x

i: x * 1 = x

l: 1 * 1

x^2 + x + x + 1

x^2 + 2x + 1

AfilCa [17]3 years ago

5 0

Answer:

$x^2+2x+1$

Step-by-step explanation:

When given the following trinomial,

$(x+1)(x+1)$

Distribute, multiply every term in one of the parenthesis by every term in the other,

$(x)(x)+(1)(x)+(1)(x)+(1)(1)$

Simplify,

$x^2+x+x+1$

Combine like terms

$x^2+2x+1$

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2 years ago

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.

Nesterboy [21]

Answer:

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

4 0

3 years ago

Let f(x) = x+2/x+6 <br> f^-1(-6) =

GREYUIT [131]

We can explicitly find the inverse. If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x$

Solve for the inverse :

$\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x$

$\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x$

$1 - \dfrac4{f^{-1}(x) + 6} = x$

$1 - x = \dfrac4{f^{-1}(x) + 6}$

$f^{-1}(x) + 6 = \dfrac4{1-x}$

$\implies f^{-1}(x) = \dfrac4{1-x} - 6$

Then when x = -6, we have

$f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}$

Alternatively, we can first solve for x such that $f(x) = -6$ . Then taking the inverse of both sides, $x = f^{-1}(-6)$ . (The difference in this method is that we don't compute the inverse for all x.)

We have

$\dfrac{x+2}{x+6} = -6$

$x + 2 = -6 (x + 6)$

$x + 2 = -6x - 36$

$7x = -38$

$\implies x = \boxed{-\dfrac{38}7}$

8 0

3 years ago

A number n increased by 18

ahrayia [7]

Answer:

n+18

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24m, determine the sides of the two sqares.

postnew [5]

Answer:

Step-by-step explanation:

square = 468 m² x² + (6+x)² = 468 [Area of a square = side²] x² + (6)² + x² + 2×6×x= 468 [(a+b)²= a²+b²+2ab] 2x² + 36 + 12x= 468 2x² + 12x + 36 - 468= 0 2x² + 12x + 36 - 432 = 0 2(x² +6x - 216)= 0 x² +6x - 216 = 0 x² +18x -12x -216 =0

5 0

3 years ago