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3 years ago

For f(x)=2x + 1 and g(x)= x^2 - 7, find (f + g)(x)

Mathematics

2 answers:

UkoKoshka [18]3 years ago

8 0

The answer to the question

Aleks04 [339]3 years ago

5 0

Answer:

(f + g)(x) = x² + 2x - 6

Step-by-step explanation:

We have (f + g)(x) = f(x) + g(x)

f(x) = 2x + 1 and g(x) = x² - 7

Substituting

(f + g)(x) = f(x) + g(x) = 2x + 1 + x² - 7 = x² + 2x +1 -7

(f + g)(x) = x² + 2x - 6

So we have

(f + g)(x) = x² + 2x - 6

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Forty is 25% of what number?

muminat

25 is equal to 1/4
to find 1/4 of a number, you divide the number by 4.
the equation here is:
x ÷ 4 = 40
to solve, do 40 x 4 = 160
x = 160

40 is 25% of 160

3 0

3 years ago

A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before

sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

$y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}$

Where:

$y=0 m$ is the blueberry pie final height (when it hits the ground)

$y_{o}=6 m$ is the blueberry pie initial height

$V_{o}=60 m/s$ is the blueberry pie initial velocity

$\theta=0 \°$ is the angle, assuming the pie was shot horizontally

$t$ is the time

$g=9.8 m/s^{2}$ is the acceleration due gravity

Rewriting the equation:

$0=y_{o}-\frac{1}{2}gt^{2}$

Isolating $t$ :

$t=\sqrt{\frac{2y_{o}}{g}}$

$t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}$

Finally:

$t=1.106 s$

5 0

3 years ago

In Lila's classroom there are red chairs, yellow chairs, and blue chairs. There are 5 red chairs.

Alex777 [14]

Answer:

Seven

Step-by-step explanation:

(())(())(())))

8 0

3 years ago

Read 2 more answers

Write a function called circle that takes a scalar input r. it needs to return an output called area that is the area of a circl

Aliun [14]

Ok so I'll demonstrate in programming language python.

import math
def circle():
r = float(input("Enter r: "))
a = math.pi * r ** 2
print("Area of circle with r = {0} is {1
}cm2".format(str(r), str(a))

circle()

8 0

3 years ago

PLEASE HELP!!!!!! TIMED QUESTION!!!! FIRST CORRECT ANSWER WILL GET BRAINLIEST....PLEASE ANSWER NOW!!!!

Margarita [4]

Answer:

Option (3)

Step-by-step explanation:

From the picture attached,

Bar graph sketched shows the grades earned by the students in an exam.

Number of students who achieved the grade A = 17

Number of students who achieved grade B = 14

Number of students with grade C = 5