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3 years ago

Let: f(x)=x+1 and g(x)=x^2-2 find: f(x)•g(x)

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

Answer: x3+x2−2x−2

Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .

Brainliest or a thank you please! have a great day/night

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A square has an area of 100 in ^2. What is the perimeter of the square

almond37 [142]

Area of a square is its side length squared...

A=s^2 solving for s...

s=√A

The perimeter of a square is 4 times its side length...

P=4s, and since s=√A

P=4√A, and we are told that A=100 in^2 so

P=4√100

P=4*10

P=40 in

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3 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

Given:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

Value of x:

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

6 0

3 years ago

Flaming BBQ restaurant makes a dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following

scoray [572]

Answer:

B, C, and D

Step-by-step explanation:

First, we have to simplify 9 and 6 down to 3 and 2

After you just see which one works and which one doesn't.

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3 years ago

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What is the sum of 6/10 + 5/10

NNADVOKAT [17]

Answer:

1.1

Step-by-step explanation:

7 0

3 years ago

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Equation of a line that passes through points (4,2) and (-2,-4)?

IRINA_888 [86]

Hello there!

Step-by-step explanation:

<h2>Lesson: Exploring Slope and Slope-intercept form</h2>

Slope formula: $m=\frac{Y^2-Y^1}{X^2-X^1}$

Rise/run

$\frac{rise}{run}$

$m=\frac{(-4)-2=-6}{(-2)-4=-6}=\frac{6}{6}=1$

Therefore, the slope is 1.

Answer: 1

Hope this helps!

Thanks!

-Charlie

6 0

3 years ago