Question 1
Here is an inequality:
7x+6
2
< 3x + 2
Select all of the values that are a solution to the inequality.

Answers

Answer 1

Inequalities are used to relate unequal expressions

The values that are a solution to the inequality are: A. x = -3  and B. x = -2

The expression is given as:

[tex]\mathbf{7x + 6 < 3x + 2}[/tex]

Collect like terms

[tex]\mathbf{7x -3x < -6 + 2}[/tex]

[tex]\mathbf{4x < -4}[/tex]

Divide both sides by 4

[tex]\mathbf{x < -1}[/tex]

[tex]\mathbf{x < -1}[/tex] means that: the values of x are less than 1.

Hence, the values that are a solution to the inequality are: A. x = -3  and B. x = -2

Read more about inequalities at:

https://brainly.com/question/11612965


Related Questions

In the given figure, the value of x and y respectively is:

Answers

Answer:

x = 85

y = 65

Step-by-step explanation:

By interior angle sum property of a triangle.

y° + 25° + 90° = 180°

y° + 115° = 180°

y° = 180° - 115°

y° = 65°

y = 65

By remote interior angle theorem of a triangle:

x° = y° + 20°

x° = 65° + 20° (since y = 65)

x° = 85°

x = 85

PLEASE HELP FAST

Evaluate the following expression using the remainder theorem.
Find f(3) given f(x) = 3x^6 + 14x – 28x^4 – 126x^3 – 35x^2 + 112x + 75

Answers

Answer:

-3165

Step-by-step explanation:

put 3 in for x than you just multiply from there than once you multiplied add and subtract than you have the answer

Select the correct answer. How many solutions exist for 2|x-1) = 8?
A. 0
B. 1
C. 2
D. 3​

Answers

Answer:

1

Step-by-step explanation:

because it is a linear equation and linear Equations only have 1 solution

what is the sale price for a object that cost $75 but is on sale for 20% .

Answers

Answer:

$60

Step-by-step explanation:

$60

Step-by-step explanation:

20% = 0.2

75× 0.2 = 15

75-15=60

what are the slope and the y-intercept of the linear function that is represented by the table?

the slope is -2/5, and the y-intercept is -1/3.

the slope is -1/3, and the y-intercept is -2/5.

the slope is 1/3, and the y-intercept is -2/5.

the slope is 2/5, and the y-intercept is -1/3.

Answers

Answer:

la respuesta correcta es la letra B es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculos

Step-by-step explanation:

ZA and ZB are supplementary angles. If mZA = (5x
ZB (2x + 10), then find the measure of ZB.
19) and m

Answers

Answer:

i need this question too

Step-by-step explanation:

what is the sum of the interior angles of a heptagon ?

Answers

Let n be rhe number of vertices in the polygon, then the sum of all interior angle is (n - 2) × 180°.

Number of sides in a heptagon = 7

So, n = 7

So,

the sum of the interior angles of a heptagon

= (7 - 2) × 180°

= 5 × 180°

= 900°

Answer:

900

Step-by-step explanation:

Please let me know wwhich is the answer! Will mark brainliest!

Answers

Answer:

A

Step-by-step explanation:

easy! it’s A ! Stay safe !!!

whoever helped me Y'all is so cute and y'all is so nice and y'all is so beautiful

Answers

Answer:

i know you are you hot

Step-by-step explanation:

A man's taxable income is $20 000 . he pays tax at the rate of 28% what is the amount of income tax he pays​

Answers

Answer:

5600

Step-by-step explanation:

20,000 x 0.28 = 5600

10 + 10 - 10 x 10 / 10

Answers

Answer:

10

Step-by-step explanation:

Thanks for the Points! Have a great day!

:)

Answer:

10 zzz

Step-by-step explanation:

Given the number 47,135,280, what is the place value of the number 3

Answers

Answer:

ten thousand

Step-by-step explanation:

Answer:

3 would be ten thousand

Step-by-step explanation:

in words it would be thirty five thousand and two hundred eighty.

the number 3 would be in the tenth thousand because its the 2nd one in the thousands. It’s the 10th thousands thats why.

what is the value of y?

Answers

Answer:

try 70

Step-by-step explanation:

I’m pretty sure it’s 70

Pls Help. This is 6th grade math i need help

Answers

Answer:

.50 cents

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

im not good at explaining but thats the anwser

PLEASE HELP ASAPPP:( i’ll mark brainlest

Answers

The units in the denominator are pounds ? I’m not sure hope this helps

Answer:

480

Step-by-step explanation:

in this type of question you would multiply the amount of ounces in 1 pound to the amount of how many pounds there is.

Simplify.
(9 + 4i) – (8 – 3i)

Answers

Answer:

1+7i

Step-by-step explanation:

It is known that x1 and x2 are roots of the equation 3x^2+2x+k=0, where 2x1=−3x2. Find k.

Answers

Answer:

k = 8

Step-by-step explanation:

Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.

By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.

Comparing both equations, a = 3 b = 2 and c = k.

So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3

x₁ + x₂ = -2/3 and x₁x₂ = k/3

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

3x₁ + (-2x₁) = -2  and x₁(3x₂) = k

3x₁ - 2x₁ = -2  and x₁(3x₂) = k  

x₁ = -2  and x₁(-2x₁) = k  

x₁ = -2  and -2x₁² = k  

Substituting x₁ = -2 into -2x₁² = k, we have

-2x₁² = k

-2(-2)² = k

2(4) = k

8 = k

So, k = 8

The required value of k is -18

Given the quadratic equation [tex]3x^2+2x+k=0[/tex]

Let the roots of the equation be [tex]x_1 \ and \ x_2[/tex]

From the quadratic equatin:

a = 3, b = 3 and c = k

Sum of root = -b/a

x1 + x2 = -3/3

x1 + x2  = -1 ....................... 1

product of roots = c/a

x1x2 = k/3 ....................... 2

Recall that 2x1=−3x2

x1 = -3x2/2 ........... 3

Substitute equation 3 into 1:

x1 + x2  = -1 ....................... 1

-3x2/2 + x2 = -1

-3x2 + 2x2 = -2

-x2 = -2

x2 = 2

From equation 2:

x1x2 = k/3

2x1 = k/3

-3x2 = k/3

-3(2) = k/3

-6 = k/3

k = -18

Hence the required value of k is -18

Learn more on quadratic function here: https://brainly.com/question/11631534

A movie theater sends out a coupon for ​15% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. The equation is y what (Use integers or decimals for any numbers in the​ expression).

Answers

Answer:

y = 0.85x

Step-by-step explanation:

Given that:

Coupon (c) = 15% off

x = original price of ticket

y = price of ticket with coupon

Price of ticket with coupon = (100 - c)% * original price)

y = (100 - 15)% * x

y = 85% * x

y = 0.85x

If it takes 3 1/3 minutes to fill 3/8 of a water tank, how long will it take to fill it completely?

Answers

Answer:

[tex]8 \frac{8}{9}[/tex] minutes

Step-by-step explanation:

plz mark brainlyest

The 2 triangles are congruent
JKL=PQR

Answers

Answer:

w = 3

The rest doesn't have enough information to complete, (Sorry for previous answer)

Jamie evaluated this expression. StartFraction left-bracket (2 cubed) (2) right-bracket Superscript 4 Baseline Over 2 Superscript 10 Baseline Endfraction step 1: StartFraction left-bracket (2 Superscript 4 Baseline) Superscript 4 Baseline Over 2 Superscript 10 EndFraction step 2: StartFraction 2 Superscript 16 Over 2 Superscript 10 EndFraction step 3: 26 step 4: 64 Analyze the steps Jamie applied to evaluate the expression. Which rule of exponents was applied in each step? Step 1: Step 2: Step 3:

Answers

Answer:

1/8

Step-by-step explanation:

Given the expression

[tex]\frac{(2^3)(2)^4}{2^{10}} \\[/tex]

Using the following laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}\\a^m \times a^n = a^{m+n}[/tex]

The expression becomes;

Step 1: Multiplication rule

[tex]=\frac{(2^3)(2)^4}{2^{10}} \\= \frac{2^{3+4}}{2^{10}}\\= \frac{2^7}{2^{10}}[/tex]

Using the division rule of exponent (Quotient of powers);

[tex]= \frac{2^7}{2^{10}} \\= 2^{7-10}\\= 2^{-3}\\also \ a^{-m} = \frac{1}{a^m}\\ 2^{-3}= \frac{1}{2^3}\\\frac{1}{2^3} = \frac{1}{8}[/tex]

Hence the result of the expression is 1/8

Answer:

(A) PRODUCT OF POWERS

(B) POWER OF A POWER

(C) QUOTIENT OF POWERS

Step-by-step explanation:

it is correct

PLZ HELP!!! ASAP!!!!

Answers

Since h(x) doesn't have any division by zero possibilities, and we aren't working with square roots, this means we don't have any domain restrictions to worry about.

We can plug in any real number we want for x to get some output h(x).

Therefore, all of the numbers listed are in the domain of h(x).

Agnes has 23 collectible stones, all of which
are labradorite crystals or galena crystals.
Labradorite crystals are worth $20 each, while
galena crystals are worth $13 each. Agnes
earns $439 by selling her entire collection. How
many stones of each type did she sell?

Answers

Answer:

The answer is she sold 20 labradorite crytals and 3 galena crystals.

Step-by-step explanation:

First you times 20 x 20 and get 400 and then times 13 x 3 and get 39 and 400 plus 39 equals $439.

HELP ASAP!!! PLEASE!!! MARKING BRAINLIEST! MATH!!!

Answers

Answer:

9x50=450

Step-by-step explanation:

hope this helps

You mix 2 pints of blue paint for every 5 pints of red paint to make purple paint. You use 18 pints of red paint. How much purple paint do you make?

Answers

25.2 pints of purple paint

15 points please help me (scatterplot)

Answers

i believe the correct ones are...

1

3

5

7

A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees . To the nearest foot, how far is the fire from the base of the tower?

Answers

Answer:

Step-by-step explanation:

98.8

Answer:

99

Step-by-step explanation:

The angle of depression looking from the tower is the same as the angle of elevation looking at the top of the tower from the spot of the fire.  So, tan (12 degrees) = 21 / distance between the tower and fire.  Thus, the distance = 21 / tan(12).  

tan (12) = 0.2126

Distance = 21 / 0.2126 = 98.78

The question asks about the distance from the base to the fire (to the nearest foot.)  Thus, it is 99 feet.  

Which of the following is a term of -5.92?
1.45 x
2 1/4
-7.78 x with an exponent of 2
3/5

Answers

the answer is 2 1/4. could you try and help me out with my questions?

Answer:

2 1/4

Explanation

I took the test it was right.

Express the following numbers as a product of their prime factors
24
Please show working

Answers

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

LOOK AT THE PICTURE
Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x?


It does, the points shown on the line would be part of y = 3.5x.
It does not, proportions cannot be represented on a graph.
It does not, the points shown on the line would not be part of y = 3.5x.
It does, all proportions can be shown on the graph of this line.

Answers

Answer:

I don't think any of the answers here are right. They aren't a proportional relationship since they don't pass through the origin. So I would believe the answer would be C. Sorry if I'm wrong!!

Step-by-step explanation:

I learned about this stuff :D

Answer:

C, because you would need two numbers to find the slope of the graph.

Step-by-step explanation:

I had to take a minute to understand this question.

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