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3 years ago

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Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFI

NED.) f(x) = x + 1 + 2 (a) f(−1) = (b) f(3) = (c) f(x − 1) =

1 answer:

LenaWriter [7]3 years ago

5 0

Answer:

a. $f(-1)=2$

b. $f(3)=6$

c. $f(x-1)=x+2$

Step-by-step explanation:

We are given that $f(x)=x+1+2$

a.We have to find the value of f(-1)

Substitute the value of x in the given function

Then, we get

$f(-1)=-1+1+2=2$

$f(-1)=2$

b.We have to find the value of f(3)

Substitute x=3 then we get

$f(3)=3+1+2=6$

$f(3)=6$

c.We have to find the value of f(x-1)

Replace x by x-1 then we get

$f(x-1)=x-1+1+2=x+2$

Hence, $f(x-1)=x+2$

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3r2 + 11r + 8<br> Factor completely

crimeas [40]

Answer:

(3r+8)(4+1)

Step-by-step explanation:

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3 years ago

glenn swims 2/3 miles on monday, 3/4mile on wednesday, and 5/6 miles on friday. What is the total of distance glenn swims on tho

Archy [21]

Answer:

She swam a total distance of 2 1/4 miles in those three days.

Step-by-step explanation:

Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)

<u>2/3 = 8/12 </u>

<u>3/4 = 9/12 </u>

<u>5/6 = 10/12</u>

Then, I added the numerators together. Like this:

<u>8 + 9 + 10 = 27 </u>

So, this would be:

<u>27/12</u>

Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.

<u>12 * 2 = 24 </u>

<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.

<u>27 - 24 = 3 </u>

<u>2 3/12</u>

After simplified, the fraction will be:

2 1/4

<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>

8 0

3 years ago

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

<u>Area of the square</u>

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

20 pointss please help I appreciate it <333

ivanzaharov [21]

Answer:

DE = 7.07 RS = 11.04 not congruent

Step-by-step explanation:

Formula:

$d=\sqrt{(x2-x1)^2 + (y2-y1)^2}$

D (5,0) E (0,-5)

DE

$d=\sqrt{(0-5)^2 + ( -5 - 0)^2}$

$d=\sqrt{(-5)^2 + (-5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

d= 7.07

R (-5,-5) S (6,-6)

RS

$d=\sqrt{(6-(-5))^2 + (-6 - (-5))^2 }$

$d=\sqrt{11^2 + (-1)^2}$

$d=\sqrt{121 + 1}$

$d=\sqrt{122}$

d= 11.04

3 0

2 years ago

Author answered 85 out of 95 questions correctly on his math exam.Miguel answered 64 out of 76 questions correctly on his histor

photoshop1234 [79]

In this case, you need to find the percentage each student got, then find who received a higher score.

First Step: $\frac{85}{95}$ (and) $\frac{64}{76}$
Second step: Divide each fraction → ≈ 0.8947 (and) ≈ 0.8421
Third Step: Multiply each decimal by 100. → 89.47% (and) 84.21%

Fourth Step: As 89.47% is greater, Author got an higher score.

BRAINLIEST PLS!!!

3 0

3 years ago