Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):
Part A: IF (x) = 3(x + 6), find f(x) = 24. (5 points)
Part B: Solve for x and graph your solution on a number line or describe the solutions for x:
2(x-4) > 4x - 18
(5 points)

Answers

Answer 1

9514 1404 393

Answer:

  A: x = 2

  B: x < 5

Step-by-step explanation:

Part A:

Substitute the given value and solve for x.

  f(x) = 3(x +6)

  24 = 3(x +6)

  8 = x +6 . . . . . . divide by 3

  2 = x . . . . . . . . . subtract 6

__

Part B:

Eliminate parentheses, solve the 3-step inequality.

  2(x -4) > 4x -18

  2x -8 > 4x -18

  -8 > 2x -18 . . . . . . . subtract 2x

  10 > 2x . . . . . . . . . . add 18

   5 > x . . . . . . . . . . . divide by 2

The solutions for x include any value less than 5.


Related Questions

There are 20 students in my class. Each student needs: .2 cups, 2 plates, 1 party hat and a pair of earphones. My teacher has 2 boxes with plates and forks. Each box contains 8 plates and 10 forks. Would this be enough for the 20 students? Account for each plate and cup. Explain your answer.​

Answers

Answer:

Simple, no. This would not be enough.

Step-by-step explanation:

This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.

This question seemed worded differently. But tried my best. :)

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.

Answers

Answer:

Hi. I think the answer is b. Please correct me if I'm wrong!

Step-by-step explanation:

Answer:

deffinetly b.

Step-by-step explanation:

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? Image of a coordinate grid with point R R located at negative 1, negative 3. (−1, −3) (−1, 3) (5, −3) (5, 3)

Answers

Answer:(-1, 3)

Step-by-step explanation:

HELP ME PLEASE AND THANK YOU..

Answers

220 people per year

2600-1500= 1100/5 = 220

Will give BRAINLIEST!!!!



Does coordinate mmm or coordinate nnn represent a greater number?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
mmm

(Choice B)
B
nnn

Answers

Answer:

your day going so far so good 1

Answer:

lol your right

Step-by-step explanation:

What is the area of a rectangle that is 11ft by 2ft?

Answers

Answer: 22 ft²

Step-by-step explanation:

To find the area of a rectangle, we multiply the length and width. It doesn't matter which is which as we get the same answer in the end.

Given information:

Length = 11 ft

Width = 2 ft

Area = length x width

Area = 11 ft x 2 ft = 22 ft²

You'll notice the unit is feet squared or ft², because feet x feet gives us feet².

multiply l and w to get 22

35% of the number of students are boys and if number of girls is 416 then find the total number of students and the number of boys

Answers

Answer:

total students = 640

number of boys = 640-416 = 225

Step-by-step explanation:

percentage of girls = 100-35 = 65%

let total number of students be x

100*416/x = 65

41600/x = 65

x= 41600/x

x= 640

Help me pls I need help asap

Answers

These two angles are corresponding angles, so x = 136 degrees

find a constant of proportionality that creates a direct proportion to x and y

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

Here k is called the constant of proportionality.

Taking an example:

For example, let suppose x and y are directly proportional with x = 4 and y = 10.

We can calculate the constant of proportionality using the formula

k = y/x

substitute x = 4, y = 10 in the equation

k = 10/4

k = 2.5

And at x = 5 and y = 12.5

k = y/x

substitute x = 5, y = 12.5 in the equation

k = 12.5/5

k = 2.5

Therefore, we conclude that a constant of proportionality k = 2.5.

Which formula gives the x-coordinates of the maximum values for y= cos()?
O kr for any integer k
Okr for k= 0,+2,t4
O7for any positive integer k
o
for K= 0,+2,+4,

Answers

Answer:

option b

Step-by-step explanation:

just trust

The formula that gives the x-coordinates of the maximum values of

y = cos(x) is kπ for k= 0, 2±, ±4.

Option B is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

The formula that gives the x-coordinates of the maximum values for

y = cos(x) is kπ + π/2 or (2k+1)π/2, where k is any integer.

Now,

This formula corresponds to kπ for k= 0, 2±, ±4

where k can take the values 0, 2, -2, 4, -4, etc.

The cosine function oscillates between -1 and 1, with a period of 2π.

The maximum value of the function is 1, which occurs when the argument of the cosine function is an odd multiple of π/2.

This means that the x-coordinates of the maximum values are given by:

x = kπ + π/2, where k is any odd integer

We can simplify this formula by writing k = 2m+1, where m is any integer, to obtain:

x = (2m+1)π/2

This formula covers all the possible values of k, including positive and negative integers.

For example, when m = 0, we get x = π/2, which is the first maximum value of the function.

When m = 1, we get x = 3π/2, which is the second maximum value, and so on. If we allow m to be negative, we get the values of x for the maximum values of the cosine function in the negative direction.

Therefore,

kπ for k= 0, 2±, ±4

which gives the values of k that correspond to the x-coordinates of the maximum values of y = cos(x).

Learn more about trigonometric identities here:

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The complete question.

Which formula gives the x-coordinates of the maximum values for

y = cos(x)?

- kπ for any integer k

- kπ for k= 0, 2±, ±4

- kπ/7 for any positive integer k

- kπ/2 for K= 0,±2, ±4,

Which of the following sets of measurements could be the side lengths of a right triangle?

A) 27, 35, 43
B) 26, 34, 42
C) 25, 33, 41
D) 24, 32, 40

Answers

Would have to be C due to all the other numbers not adding up to be a right angle
The anwser is definitely C

Which expression is not equal to the expression shown?
33 : 3-4
3 x 36
33 x 34
37 : 30
3-3 ÷ 34
ANSWER QUICK AND ILL MARK YOU BRANLIEST

Answers

The answer is "3-3 = 34"
Step-by-step explanation:
In the given question fourth one is not correct, which can be described as follows:
3-3 =34
0 = 34
that's why it is not correct, and other equation will give a value.
i)
33 ×3-4
= 33 × -1
= -33
ii)
3×36
=108
iii)
37: 30

v)
33×34
= 1122

How am I suppose to do my challenges if nothing shows up

Answers

I wonder the same thing

Answer:

umm i dont know ask them oop my fire alarm going off bye

Step-by-step explanation:

A bottle of laundry detergent costs $4.95 per bottle. If you have a coupon for $2.00 off and your total is $7.90, how many bottles of detergent did you buy? WRITE AN EQUATION AND SOLVE.

Answers

You bought 2 because if you add $7.90 and $2.00 the coupon you would get $9.90 so then you multiply $4.95 by 2 and you get $9.90 the exact amount we had before

Which fraction is equivalent to -7/8?

A. 8/-7
B. 7/-8
C. -7/-8
D. 7/8

Answers

Answer:

B. 7/-8

Step-by-step explanation:

it doesn't matter which number the negative sign is on, the result stays the same either way.

PLEASE HeLP ME!!!! IM TIMED

Answers

Answer:

4 units to the left

Step-by-step explanation:

What is the volume of a cube that has a face diagonal of 5 cm? (to the nearest whole number)

5 cm3
18 cm3
25 cm3
43 cm3

Answers

Answer:

the aswersxis 45

Step-by-step explanation:

It’s the 5 cm 3 so I think it’s like that

Raju has some amount saved in his piggy bank. His uncle gave him Rs. 50 as a birthday gift and now Raju has Rs 123 with him.Find how much money he had earlier? ( Write an equation and solve).

Answers

123-50=73

Step-by-step explanation:

its pretty basic, subtract the amount his uncle gave him from what he has now

Of the 140 7th graders, 15% earn the Presidential Physical Fitness award. How many students earn the award? *

Answers

Answer:

21 students

Step-by-step explanation:

the percent proportion is a/w = p/100

where A is a part of the whole W, and p% or p/100 is the percent

a/140 = 15/100 (Substitute w =140 and p= 15)

a times 100=140 times 15 (cross poducts property)

100a=2100  (Multiply)

100a/100 = 2100/100 (divide both sides by 100)

a = 21 (simplify)

So, 21 students win the award.

Jay earned $220 during the summer for delivering magazines he bought 5 shirts worth $15 each using his magazine money how much money was left after he bought the shirts

Answers

$15 x 5=$75

$220 - $75= $145

Answer:

145

Step-by-step explanation:

PLEASE HELP!!!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<44)?
O A. 0.16
O B. 0.84
O C. 0.975
O D. 0.025

Answers

To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.

The value of P(x <= 44) is 0.025 which is option D

Probability

Given the value of the mean, normal distribution and standard deviation, we can calculate where the value lies

Data;

Mean = 50S.D = 3X = 44

But we know that

[tex]z = \frac{x- \mu}{\sigma}[/tex]

Let's substitute the values of x, standard deviation and mean into the equation above

[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]

Solving this further;

[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]

The value of P(x <= 44) is 0.025 which is option D

Learn more on normal distribution here;

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Answer:

The answer is 0.16 other guy wrong

Step-by-step explanation:

Rewrite the following equation as a function of x 2x^(4)-625-500=0


Choices are below. Will give 15 points for this.

Answers

correct choice is D! :)

Answer:

Option (D) is true.

Step-by-step explanation:

Given the equation

25x⁴ - 625y - 500 = 0

solving in terms of y as a function of x

[tex]25x^4\:-\:625y\:-\:500\:=\:0[/tex]

Step 1: Add -25x⁴ to both sides

[tex]25x^4\:-\:625y\:-\:500\:+\:\left(-25x^4\right)=0+\left(-25x^4\right)[/tex]

[tex]-625y-500=-25x^4[/tex]

Step 2: Add 500 to both sides

[tex]-625y-500\:+500=-25x^4\:+500[/tex]

[tex]-625y=-25x^4\:+500[/tex]

Step 3: Divide both sides by -625

[tex]\frac{-625y}{-625}=\frac{\left(-25x^4\:+500\right)}{-625}[/tex]

[tex]\:\:y=\:\frac{1}{25}x^4-\frac{4}{5}[/tex]

Therefore,

[tex]\:f\left(x\right)=\:\frac{1}{25}x^4-\frac{4}{5}[/tex]

Thus, option (D) is true.

Help me please will give points

Answers

N't did kind he jdjxbxkx

Answer:

1) x=-1

Step-by-step explanation:

The red one is 3x+4

The green one is x+2

help please!!!! please!!!!

Answers

Answer:

32

Step-by-step explanation:

[tex]\frac{x}{40}=\frac{48}{60} \\ \\ x=32[/tex]

b. Some other person's sales tax is $1.61. How much was their subtotal?

Answers

I don’t think that’s the first question I think that’s the second one after u do the first question
It hiding some other perish tax is higher that the subtotal
I hope this helps you with you stuff

If the angles of a traingle are in the ratio 2:3:4 , Find Them​

Answers

Answer:

40°, 60°, and 80°

Step-by-step explanation:

We know that the sum of the angles of a triangle is equal to 180°.

We can use this equation to solve for these angles:

180 = 2x + 3x + 4x

180 = 9x

20 = x

Then substitute the solution in for x to solve for the angles:

2(20) = 40°

3(20) = 60°

4(20) = 80°

Therefore, the angles are 40°, 60°, and 80°.

2 The ratio of beans to rice at T. Blancos place is 2 to 3. There are 27 grains answer of rice on the plate. What is the total number of beans and rice on the plate

Answers

Answer: 45

Step-by-step explanation:

From the question, we are informed that the ratio of beans to rice at T.Blancos place is 2 to 3 and that there are 27 grains answer of rice on the plate. The number of beans would be:

= 2/3 × 27

= 18.

Therefore, the total number of beans and rice on the plate will be:

= 27 + 18

= 45

9) Angeline bought s yards of satin fabric priced ot $8.09 per yard, ond c
yards of cotton fabric priced at $3.79 per yard. Which of the following is on
expression that can be used to determine the amount of money that
Angeline would spend in all on fabric? *
2 points
O 8.09s - 3.79c
O 8.09c +3.79s
8,09c 3.79s
O 8.09s +3.79c

Answers

Answer:

8.09s + 3.79c

Step-by-step explanation:

The $8.09 is pertaining to the satin (s) and the $3.79 is pertaining to the cotton fabric (c).

Answer:

70.77

Step-by-step explanation:

Hope this helps

In addition to his weekly salary, Ethan is paid $16 per delivery.
Last week, he made 5 deliveries, and his total pay was $215. Write a linear equation in
slope-intercept form to find Ethan's total weekly pay T if he makes d deliveries. (please help quickly! I WILL MARK BRAINLEST!!)

Answers

Answer:

Step-by-step explanation:

T=16d=135

The linear equation in  slope-intercept form to find Ethan's total weekly pay is T = 16d + 135

A linear equation is in the form:

y = mx + b

where m is the slope of the line, b is the y intercept and y, x are variables.

Let T represent the total money paid to Ethan in a week for d deliveries.

Ethan is paid $16 per delivery, hence m = 16.

T = 16d + b

For 5 deliveries, his total pay was $215. Hence when d = 5, T = 215:

215 = 16(5) + b

215 = 80 + b

b = 135

T = 16d + 135

The linear equation in  slope-intercept form to find Ethan's total weekly pay is T = 16d + 135

Find out more at: https://brainly.com/question/13911928

The perimeter of a rectangle is 162 inches. what are the dimensions of the rectangle if the length is 7 times than 3 times the width?​

Answers

Answer:

3.68 inches × 77.28 inches

Step-by-step explanation:

Given that,

The perimeter of a rectangle is 162 inches.

Let the width is b.

ATQ,

Length = 7 times than 3 times the width

l = 7(3b) = 21b ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

Put all the values,

162 = 2(21b+b)

81 = 22b

b = 3.68 inches

Put the value of b in equation (1)

l = 21b

= 21 (3.68)

= 77.28 inches

Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches

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