What is the solution to -2(8x - 4) < 2x + 5?
O x>
O x<
X>6
x < 6

Answers

Answer 1

Answer:

1/6 <x

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x+16x +8 < 2x+16x+5

8 < 18x +5

Subtract 5 from each side

8-5 <18x

3 <18x

Divide by 18

3/18 <x

1/6 <x

Answer 2

-2(8x - 4) < 2x + 5

Expand the brackets.

-16x +8 < 2x + 5

Add -2x and -8 on both sides.

-16x -2x<5-8

-18x<-3

Multiply both sides with -1 (reverse the inequalty).

18x>3

Divide 18 into both sides.

18x/18>3/18

x>1/6

Related Questions

WILL MARK AS BRAINLIEST!! PLEASE HURRY!!! Solve for x: 1 over 4 (2x − 14) = 4. (1 point) 15 15 over 2 9 11

Answers

Answer:

Step-by-step explanation:

k den

Answer:

1 / 4 (2x − 14) = 4.

Multiply through by 4(2x - 14)

You'll get

1 = 16(2x - 14)

1 = 32x - 224

Group like terms

224 + 1 = 32x

225 = 32x

Divide both sides by 32

x = 225/ 32

Hope this helps

Given ST is tangent to radius R at S, find RT.

Answers

[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Find the surface area of the triangular prism shown below.
units2
5
7

Answers

Answer: 136 units squared

Explanation: 5*7=35, 5*7=35, 6*7=42, 1/2 of 4*24=12, 1/2 of 4*24=12

35+35+42+12+12= 136 units squared

con
Simplify: -165 - 1703

Answers

Answer:

[tex]-1868[/tex]

Step-by-step explanation:

[tex]-165 - 1703[/tex]

Subtract the numbers.

[tex]=-1868[/tex]

Answer:

-1868 is the simplified polynomial

Step-by-step explanation:

-165 -1703

= -165 + -1703

= -(165+1703)

= -(1868)

Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.

Answers

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Pls help me with geometry

Answers

Answer:

x = 20

y = 73

Step-by-step explanation:

8x - 87 + 7x - 33 = 180

15x = 180 + 87 + 33

15x = 300

x = 20

8x - 87 = y

160 - 87 = y

y = 73

I NEED HELP ASAP

The line of best fit in the scatter plot represents the average customer rating at Mike's BBQ Shop over time. Mike's BBQ Shop started with an average customer rating of ....

Answers

Answer:

4

Step-by-step explanation:

Month 1- average rating as er graph is 4 point (1,4)

Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)

3 to 2 power+8x4 need answer Can’t get it to write 2 squared

Answers

Answer: 3^2 + 8×4

= 41

3^2=9, 8 ×4=32 9 +32=41

Step-by-step explanation:

You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).

I have the same problem on my phone keyboard.

In Brainly, you might be able to use the formula options.

Answer:

41

Step-by-step explanation:

3^2 + 8(4)

Multiply 8 by 4

3^2 + 32

Square 3

9 + 32

Add 9 and 32 to get the answer

41

hope this helps!

What is the permeter of square ABCD?

Answers

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

PLeaSe HeLP!!! aSaP!!! WiLL MaRK BRaNLieST!!! Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.

Answers

Answer:

Y = 2

E = 9

A = 1

R = 0

Step-by-step explanation:

2222 - 999 + 11 - 0 =1234

John wants to invest in a simple intereset savings account The intereset rate on this account is 0.7%. The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x where x represents the time (in years) that john leaves her money in the account what is johns initial investment?

Answers

Answer:

John's initial investment is Rs.150000

Step-by-step explanation:

Let the principal amount be a

We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.

Now to find simple interest in x years

Formula : [tex]Si = P \times T \times R[/tex]

Where P = Principal

T= time

R = rate of interest in decimals

So,[tex]SI=a \times 0.007 \times x[/tex]

Amount = Principal+Interest

Amount = [tex]a+a(0.007)x[/tex]

We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x

So, On comparing a = 150000

Hence John's initial investment is Rs.150000

What is the measure of Zx?
Angles are not necessarily drawn to scale.
P
R
36
29
S
2=

Answers

Answer:

x=54 degrees

Step-by-step explanation:

These two angles are complementary, meaning that they add to 90 degrees.

If one angle is 36 degrees, then we can write this equation: 36+x=90

We want to find what x is, so we should isolate x.

We can isolate x by subtracting 36 on both sides.

x=90-36

x=54

Answer:

54°

Step-by-step explanation:

∠PQR +∠RQS =∠PQS

36° + x° = 90°

x = 90 - 36 = 54°


What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number

Answers

nearest whole number = 7

Answer:

1783 sq. Units

Step-by-step explanation:

whats the answer???​

Answers

Answer:

a is the answer

have a great day. brainliest please

Step-by-step explanation:

Answer:

the answer is A. :)

Step-by-step explanation:

the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer

Brainliest please thank you! and good luck!

how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?​

Answers

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.

Answers

Answer: A, C, and E

Step-by-step explanation:

Hi, to answer this question we have to analyze the function given:

C(b) = 2.75b + 10

Where:

Independent variable: b (number of books) Input = b Output = C = annual cost Dependent variable = C (depends on b, the independent variable)

So:

A. The number of books purchased is the independent variable. TRUE  

B. The input is the yearly cost. (FALSE, the input is the number of books )

C. The total yearly cost depends on the number of books purchased. TRUE

D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number  

of books.

E. The output is the yearly cost.TRUE

Answer:

A)The number of books purchased is the independent variable.

C)The total yearly cost depends on the number of books purchased.

E)The output is the yearly cost.

those are your corrected answers

Step-by-step explanation:

What is the solution set of -lx| = -8?
O {8}
O {-8}
O {-8, 8}
O no solution

Answers

I think the answer is -8,8 because once the number is in the absolute sign everything turns positive

Answer:

O {-8, 8}

Step-by-step explanation:

[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]

Which Statement is NOT true?

Answers

Answer:

D

Step-by-step explanation:

i beleive the answer is D

random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf

2. (10.03)
A teacher gave his class two quizzen; 10% of the class passed the first quiz, but only 60% of the class passed to me what percent of those who passed the first one
passed the second quiz? (2 points)
20%
4096
ООО
60%
75%

Answers

This question is incomplete because it was not written properly

Complete Question

A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)

a) 20%

b) 40%

c) 60%

d) 75%

Answer:

d) 75%

Step-by-step explanation:

We would be solving this question using conditional probability.

Let us represent the percentage of those who passed the first quiz as A = 80%

and

Those who passed the first quiz as B = unknown

Those who passed the first and second quiz as A and B = 60%

The formula for conditional probability is given as

P(B|A) = P(A and B) / P(A)

Where,

P(B|A) = the percent of those who passed the first one passed the second

Hence,

P(B|A) = 60/80

= 0.75

In percent form, 0.75 × 100 = 75%

Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.

if the sum of four times a number and four less than three times a number is seventeen

Answers

Answer:

13divided by 7

Step-by-step explanation:

[tex]4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} [/tex]

The required number is 3 .

It is required to find the number.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Let the number be x

According to given question we have,

4x+3x-4=17

Compare the like terms we get,

7x=17+4

7x=21

x=3

The number is 3 .

Therefore, the required number is 3 .

Learn more details about algebra here:

https://brainly.com/question/24875240

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What is the answer for 7x-4=73

Answers

Answer:

11

Step-by-step explanation:

7x-4=73

7x = 4+73

7x = 77

7x/7 = 77/7

x = 11


Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft

Answers

40.9 ft
You would add each side together 10 plus 10 is 20 then 20 plus 8.9 is 28.9 then 28.9 plus 8 is 36.9 plus four which is 40.9

Answer: 40.9

Step-by-step explanation:

Which transformations could be performed to show that
AABC is similar to AA"B"C"?

Answers

Answer:

add a picture

Step-by-step explanation:

Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT.

Answers

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. Finding z-score for Reagan;

Let X = distribution of SAT scores

SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 1000

            [tex]\sigma[/tex] = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  [tex]\frac{1140-1000}{100}[/tex]  =  1.4

2. Finding z-score for Jessie;

Let X = distribution of ACT scores

SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 17

            [tex]\sigma[/tex] = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  [tex]\frac{30-17}{5}[/tex]  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x. x4 -3x + 1, 4x2 - 2x + 8, and x3 - 9

Answers

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6


A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate

Answers

Answer:

D.  Yes by SAS Similarity Postulate

Step-by-step explanation:

This is the answer because if you flip triangle LNM around to shape the DEF.  Then you will see that:

1. angle D is congruent to angle L

2. angle E is congruent to angle N

3. angle F is congruent to angle M

4. angle E and N are both 90 degrees

Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.

We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate.  The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.

Answer:

D. SAS Similarity Postulate

Step-by-step explanation:

I got it right on the test

If you vertically compress the absolute value parent function, f(x) = [ 41, by a
factor of 5, what is the equation of the new function?
A. g(x) = 1/5 |x|
B. g(x) = |x - 5|
C. g(x) = |5x|
D. g(x) = 5|x|

Answers

Answer:

[tex]g(x) = \frac{1}{5} |x|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Vertically compressed

Compression Factor = 5

Required

Find the equation of the new function;

Let the new function be represented by g(x)

Let c represented the compression factor;

such that c = 5

When a function f(x) is vertically compressed by factor c, the new function becomes

[tex]f(\frac{1}{c}x)[/tex]

From properties of functions;

[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

This implies that

[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

[tex]g(x) = \frac{1}{c} *f(x)[/tex]

Recall that [tex]f(x) = |x|[/tex] and c = 5

[tex]g(x) = \frac{1}{5} * |x|[/tex]

[tex]g(x) = \frac{1}{5} |x|[/tex]

Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]

Answer:

G(x)=1/5 |x|

Step-by-step explanation:

A p e x

hi, can someone pls help me? I really don’t understand this

Answers

Answer: 1 is not, 2 is, 3 is, 4 is, 5 is, 6 is not

Step-by-step explanation:

1 is not because 2 has two arrows coming off of it and each input can only have one output. 6 is not because if you draw a line down the graph it will hit the figure more than once( this is called the pencil drop test)

Function is an assignation that for each element of first set assigns one and only one element from second set.

1) NO    {element 2 from set one has assigned two elements (b, c) from set two}

2)  YES

3) YES     {several elements from set one can have assigned the same element from set two}

4), 5)   YES

6)  NO   {for x from about -4 to about 0.5 there are two y}

which of the following equations describe the line shown below? check all that apply. Please Help!​

Answers

Answer:

A & F

Step-by-step explanation:

if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.

so we now know the slope is 1/4. which eliminates choices B, D, E.

we see that C will not work because the x and y values are switched.

according to point slope formula A & F work.

A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?​

Answers

Answer:

C

Step-by-step explanation:

male musicians practice an avg 2/hrs a day

The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A social scientist surveyed a random sample of male musicians at a university about their practice habits.

The graph below displays the amount of time typically spent practicing their instrument daily.

From the graph, we can conclude that on average, male musicians practice for two hours per day.

Then the correct option is C.

More about the histogram link is given below.

https://brainly.com/question/16819077

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