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

Answer:

1,7 so you can do add to get to it

Answer:

A  function represents a translation to the right of 4 units is y=2(x-4)

Step-by-step explanation:

We are given a function: [tex]y=2x[/tex]

We are supposed to find  function represents a translation to the right of 4 units

Rule: f(x)→f(x-c)

When the graph is shifted to right by c units then f(x)→f(x-c)

Function y = f(x)=2x

After a translation to the right of 4 units using rule

f(x-4)=2(x-4)

So, A  function represents a translation to the right of 4 units is y=2(x-4)

Answer:

A- 8x^3 + 12x^2 - x

Step-by-step explanation:

The symbol ^ with a 2 is squared and ^ with 3 means cubed.

1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).

2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.

3. Now the equation should be simplified.

1 × 5x^2 = 5x^2

1 × 6x^3 = 6x^3

1 × 2x = 2x

-1 × 3x = -3x

-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.

-1 × -7x^2 = 7x^2

4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2

5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.

6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.

Step-by-step explanation:

42=3v-15

We move all terms to the left:

42-(3v-15)=0

We get rid of parentheses

-3v+15+42=0

We add all the numbers together, and all the variables

-3v+57=0

We move all terms containing v to the left, all other terms to the right

-3v=-57

v=-57/-3

v=+19

Answer:

v= +19

Step-by-step explanation:

Answer:

The correct answer for this question is that the unit rate is 5:1.

Step-by-step explanation:

We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.

Answer:

Junior PSAT

Training Packet

2016-17

Math Department  

Answer Key

Section 3: Math Test — No Calculator

QUESTION 1.

Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4.

Dividing both sides of 5x = 4 by 5 yields x =

_4

5

. Te value of x can now be

substituted into the expression 10x + 3, giving 10 ( _4

5 ) + 3 = 11.

Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and

10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.

Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 ≠ 10,

contradicting the given equation, 5x + 6 = 10. For example, choice A is

incorrect because if the value of 10x + 3 were 4, then it would follow that

x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

QUESTION 2.

Choice B is correct. Multiplying each side of x + y = 0 by 2 gives 2x + 2y = 0.

Ten, adding the corresponding sides of 2x + 2y = 0 and 3x − 2y = 10 gives

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. Finally, substituting

2 for x in x + y = 0 gives 2 + y = 0, or y = −2. Terefore, the solution to the

given system of equations is (2, −2).

Alternatively, the equation x + y = 0 can be rewritten as x = −y, and substituting x for −y in 3x − 2y = 10 gives 5x = 10, or x = 2. Te value of y can then

be found in the same way as before.

Choices A, C, and D are incorrect because when the given values of x and

y are substituted into x + y = 0 and 3x − 2y = 10, either one or both of the

equations are not true. Tese answers may result from sign errors or other

computational errors.

QUESTION 3.

Choice A is correct. Te price of the job, in dollars, is calculated using

the expression 60 + 12nh, where 60 is a fxed price and 12nh depends on the

number of landscapers, n, working the job and the number of hours, h, the job

takes those n landscapers. Since nh is the total number of hours of work done

when n landscapers work h hours, the cost of the job increases by $12 for each

hour a landscaper works. Terefore, of the choices given, the best interpretation

of the number 12 is that the company charges $12 per hour for each landscaper.

Choice B is incorrect because the number of landscapers that will work each

job is represented by n in the equation, not by the number 12. Choice C is

incorrect because the price of the job increases by 12n dollars each hour,

which will not be equal to 12 dollars unless n = 1. Choice D is incorrect

because the total number of hours each landscaper works is equal to h. Te

number of hours each landscaper works in a day is not provided.

QUESTION 4.

Choice A is correct. If a polynomial expression is in the form (x)2

+ 2(x)(y) +

(y)2

, then it is equivalent to (x + y)2

. Because 9a4

+ 12a2

b2

+ 4b4

= (3a2

)2

+

2(3a2

)(2b2

) + (2b2

)2

, it can be rewritten as (3a2

+ 2b2

)2

.

Choice B is incorrect. Te expression (3a + 2b)4

is equivalent to the product

(3a + 2b)(3a + 2b)(3a + 2b)(3a + 2b). Tis product will contain the term

4(3a)3

(2b) = 216a3

b. However, the given polynomial, 9a4

+ 12a2

b2

+ 4b4

,

does not contain the term 216a3

b. Terefore, 9a4

+ 12a2

b2

+ 4b4 ≠ (3a + 2b)4

.

Choice C is incorrect. Te expression (9a2

+ 4b2

)2

is equivalent to the

product (9a2

+ 4b2

)(9a2

+ 4b2

). Tis product will contain the term (9a2

)

(9a2

Answer:

that looks hard

Step-by-step explanation:

b

Answer:

rational since all decimals that terminate are rational here is a sheet to help

6.825 is rational number.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.

Given number: 6.825

Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.

So, we can see that 6.825 is terminating decimal.

Learn more about rational and irrational number here:

https://brainly.com/question/24398433

#SPJ2

Answer:

the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch

Slope = -0.5

Y-intercept = 34

Equation:  y = -0.5x + 34

Answer = It will take 16 days for the water level to be 26 feet.

The question is an illustration of a linear function.

The given parameters are:

[tex]\mathbf{Level = 34ft}[/tex]

[tex]\mathbf{Rate = -0.5ft/day}[/tex]

The equation of the function is:

[tex]\mathbf{y = Level +Rate \times x}[/tex]

Where:

y represents the water level

x represents the number of days

So, we have:

[tex]\mathbf{y = 34- 0.5 \times x}[/tex]

[tex]\mathbf{y = 34- 0.5 x}[/tex]

A linear equation is represented as;

[tex]\mathbf{y = mx + b}[/tex]

So, by comparison:

[tex]\mathbf{Slope(m) = -0.5}[/tex]

[tex]\mathbf{y-intercept (b) = 34}[/tex]

When the water level is 26, it means y = 26.

So, we have:

[tex]\mathbf{y = 34- 0.5 x}[/tex]

[tex]\mathbf{26 = 34 - 0.5x}[/tex]

Collect like terms

[tex]\mathbf{26 - 34= - 0.5x}[/tex]

[tex]\mathbf{-8= - 0.5x}[/tex]

Divide both sides by -0.5

[tex]\mathbf{16= x}[/tex]

Rewrite as:

[tex]\mathbf{x = 16}[/tex]

Hence, the number of days to reach 26ft is 16

Read more about linear functions at:

https://brainly.com/question/20286983

Answer:

y1 = -5

y2 = -1

y3 = 5

y4 = 9

Step-by-step explanation:

The equation of the table is

y = 2x - 5

The table is

→    x    →   y

→    0    →   y1

→    2    →   y2

→    5    →   y3

→    7    →   y4

To complete the table by finding the values of y substitute every x in the equation by its value to find the corresponding y

∵ y = 2x - 5

∵ x = 0

→ Substitute x by 0

∴ y1 = 2(0) - 5

∴ y1 = 0 - 5

∴ y1 = -5

∵ y = 2x - 5

∵ x = 2

→ Substitute x by 2

∴ y2 = 2(2) - 5

∴ y2 = 4 - 5

∴ y2 = -1

∵ y = 2x - 5

∵ x = 5

→ Substitute x by 5

∴ y3 = 2(5) - 5

∴ y3 = 10 - 5

∴ y3 = 5

∵ y = 2x - 5

∵ x = 7

→ Substitute x by 7

∴ y4 = 2(7) - 5

∴ y4 = 14 - 5

∴ y4 = 9

Answer:

(D) y2 and y4

Step-by-step explanation:

the answer is 5 dimes and 1 nickel.

hope this helps <3

Answer:

4 = dimes and 2 = five cents

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

x=95 degrees

Step-by-step explanation:

All of the angles in a triangle add up to 180, so 45+50+(180-x)=180.

Open the parenthesis, and you get 45+50+180-x=180.

Then subtract 180 from both sides, so 45+50-x=0.

Simplify that to 95-x=0, and add x to both sides.

x=95

Also, you can use exterior angles theorem, which states that 45+50=x.

That's the shorter way.

Answer:

Dimensions of model wing is 5.12 cm * 13.56 cm

Step-by-step explanation:

Here, we are told that in the model we have 4 cm representing 5 m

So if 4 cm rep 5 m

x cm rep 6.4 m

4 * 6.4 = 5 * x

25.6 = 5x

x = 25.6/5

x = 5.12 cm

4 cm rep 5 m

x cm rep 16.95 m

4 * 16.95 = 5 * x

x = (4 *16.95)/5

x = 13.56 cm

Answer:

8

Step-by-step explanation:

100-3t=76

-3t=-24

t=8

Answer:

t=8

Step-by-step explanation:

100 - 3t = 76

-100        -100

-3t = -24

/-3    /-3

t = 8

Hope this helps!

Answer:

domain and range will be ( negative infinity, positive infinity

Answer:

Im pretty sure it's  D

Step-by-step explanation:

Srry if Im wrong.

Plz mark brainliest

Answer:

What??

Step-by-step explanation:

Answer:

The answer is 69 degrees.

Step-by-step explanation:

All you have to do is take the higher temperature and subtract it by the lower one.

Answer:

6,000 or 6 hundredths

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

She got the sign of the slope wrong

Step-by-step explanation:

She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

Please mark brainliest if this helped you!

Answer:

she got the sign of slope wrong

Step-by-step explanation:

took test on edg

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost function of banner advertisement:

C(n) = 0.30n + 5.00

n = average number of hits per hour

5 = flat rate

From the function, C(n), the cost per hit is the slope value of the function ; which is 0.30

1.) If the cost of pop-up advert will double the cost per hit, the cost function for pop-up advert will be :

D(n) = 2(0.30n) + 5

D(n) = 0.60n + 5.00

B.) This change in cost per hit has resulted in change in slope which is defined as :

[Rise / run = vertical change / horizontal change].

Hence, both vertical and horizontal change has occurred.

Answer:

Step-by-step explanation:

2m - 7 + m = 10 + 3m

3m - 3m = 10 + 17

0 = 17

therefore, there is no solution

Answer: no solution

Like the other answer said, no solutions avaliable.

Answer:

y=x

Step-by-step explanation:

First, distribute the 1 to the x and -4. Both of these when multiplied by one equal their original value, leaving you with y-4=x-4.

Then, to isolate the y, you add 4 to both sides. This leaves you with simply y=x.

Answer:

−2x−57

Hope this helps!

Answer:

x=5 m=3

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

(Dont mind me, just need to add more characters LOL)