Solve for x: 3 - (2x - 5) <-4(x + 2)

Answers

Answer 1

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Distribute:                         3 - 2x + 5 < -4x - 8Combine like terms:         -2x + 8 < -4x - 8Add 4x on both sides:     2x + 8 < -8Isolate x term:                  2x < -16Isolate x:                           x < -8

Here we see that any value x smaller than -8 would work as a solution in the inequality.


Related Questions

what is the formula for 1, -3, 9, -27?
arithmetic or geometric?

Answers

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

a is the first term r is the common ratio

∵ The first term is 1

a = 1

∵ The common ratio is -3

r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Find the missing length of the triangle.
C=_Km

Answers

U need to use the a^2+b^2=c^2. So 21^2+ 20^2=___. From there u square root your answer to find the length of the side.

Answer:

c = 29km

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841

[tex]\sqrt{841}[/tex] = 29

PLEASE PLEASE HELP I NEED THE ANSWER SOON

Answers

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The domain is the list of x-values in the table. Choice A correctly lists the domain values.

The range is the list of y-values in the table. Choice B incorrectly describes the domain.

For x = -1, the table tells you f(x) = 6, so f(-1) = 6.

For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.

Choices A and C are correct.

What is the value ofx in the equation X=-45
O -75
O -27
O 27
O 75

Answers

I think there is something that you are missing because none of the options are correct.

The distance between P and T on the coordinate grid is units. (Input whole numbers only.)​

Answers

Answer:ummm do you have a picture of the question?

Step-by-step explanation:

Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?

Answers

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

why is -16 the leading coefficient in quadratic applications

Answers

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

Many quadratic equations can be solved by factoring when the equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions.

Due in 20 mins pls help!

Answers

Answer:

A.

Step-by-step explanation:

it is in y=mx+b format

-21+(-59) what is the answer

Answers

Answer:

-80

Step-by-step explanation:

Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)

Answers

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

what is the length, in centimeters, of EF

Answers

Answer:

8

Step-by-step explanation:

1. Use the Pythagorean theorem: a^2+b^2=c^2.

You are already given c (which is always the longest side of the triangle) and one of the legs, which can be either a or b.

2. Put the numbers into the equation and square them.

6^2+b^2=10^2

When you square the numbers, it becomes 36 + b^2 = 100.

3. Subtract 36 from both sides and take the square root of the difference.

b^2 = 64

[tex]\sqrt{64}[/tex] = 8

Answer: 8cm

Step-by-step explanation: Let’s use the Pythagorean Theorem! 6^2+x^2=10^2

36+x^2=100

x^2=64

X=8

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answers

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.

Answers

Slope=m= (-7-8)/ (-15-(-10))= -15/-5= 3
Slope =m=minus 7 minus8 minus 15

NEED HEPP FAST MARKING PEOPLE AS BRAINLIST

Answers

Answer:

yes becasue their sides have the same length and angles

Step-by-step explanation:

PLEASE HELP I BEG OF YOH ​

Answers

Answer:

second

Step-by-step explanation:

their angles are equal and their sides are proportional if the figures are similar

Answer:

B, Their angles are equal and their sides are proportional.  

Step-by-step explanation:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

can someone help plz

Answers

Answer:

I think it B

Step-by-step explanation:

I think it is B

15 – 5(4c – 7) = 50 pls solve C​

Answers

Answer:

c = 0

Step-by-step explanation:

15 – 5(4c – 7) = 50

Expand.

15 - 20c + 35 = 50

Isolate 20c.

-20c = 50-15-35

Evaluate.

-20c = 0

Remove the negative sign.

-20c × (-1) = 0 × (-1)

Two negatives make a positive. Anything multiplied by 0 becomes 0.

20c = 0

Find c.

c = 0 ÷ 20

Evaluate.

c = 0

c = 7/4 is the solution to the equation 15 - 5(4c - 7)

Let's solve the equation step by step:

15 - 5(4c - 7) = 50

First, distribute the -5 to the terms inside the parentheses:

15 - 20c + 35 = 50

Combine like terms:

50 - 20c + 35 = 50

Combine the constant terms:

-20c + 85 = 50

Next, isolate the term with c by subtracting 85 from both sides of the equation:

-20c = 50 - 85

Simplify:

-20c = -35

Finally, divide both sides by -20 to solve for c:

c = (-35) / (-20)

Simplifying the division:

c = 7/4

Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.

Learn more about algebraic Expression here:

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what is the answer to this?

Answers

the two triangles are not similar.

1 is 25% of what number

Answers

Answer:

4

Step-by-step explanation:

4 x .25 = 1

Answer:

its 4

Step-by-step explanation:

1÷4×100

=25%

(1×100)÷25

=4

In a music competition, a participant has to score a total of 40 points in the first four rounds combined to move on to the 5th and final round. Glen scored 4 points in the first round. He then went on to score additional points in the second, third and forth rounds. In each round he scored the identical points. Which inequality shows the number of points Glen scored.

Answers

Answer:

x ≥ 12

Step-by-step explanation:

Given that :

Total points required = 40

1st round point = 4

2nd, 3rd and 4th round points are identical

Let the point number of points = x

2nd + 3rd + 4th = 3

1st round + 3(x) ≥ 40

4 + 3x ≥ 40

3x ≥ 40 - 4

3x ≥ 36

x ≥ 12

Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(4, 6) (2,0)

Answers

Answer:

-6/6 = -1

Step-by-step explanation:

y2 - y1                       0 - 6          -6

x2 - x1                       2 - 4           6   simplify and you get -1

For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Help me please and thank you! try your best i will mark brainlist who is first and accurate.

Answers

Answer:

the first

Step-by-step explanation:

if it's perpendicular so is the gradient so y= -5/6 + 12

*I'm so sorry if I'm wrong

I need help please #19

Answers

Answer:

40

Step-by-step explanation:

HELP ASAP PLEASE!!!!

Answers

Hii

(x-2)(x+2)/x(x+5)

=(-4-2)(-4+2)/-4(-4+5)

=(-6)(-2)/-4(1)

=12/-4

=-3

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN


Please help :( I don’t get these what so ever!!!

Answers

can you please explain more so that I can give you the correct answer because just by showing an image does not help

Answer:

10.95 for a, b is definitely from a different problem

Step-by-step explanation:

3*3.65=10.95

Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x^2
C. F(x) = |x|
D. F(x) = 2x

Answers

Answer:

A. F(x)=x

Step-by-step explanation:

Stephen was disappointed in his grade on a recent statistics test. He calculated his 2-score and found that it was 0.45. What percent of students scored below Stephen's score?​

Answers

I would say 2 because it says he calculated his 2- score.

Which expressions are equivalent to 0.75(4h - 6)

Answers

I have no idea but good luck man
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