Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?

Answer:

m^2/n

Step-by-step explanation:

The following laws of exponent are useful to this problem:

[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]

We are given the expression:

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]

Use the first law of exponent above.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]

Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.

From the expression, apply the second law of exponent to n^-1.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]

Multiply m in.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]

Thus the answer is m^2/n.

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

2.

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Answer:

y= [tex]\frac{2}{5}[/tex](x)+2

Step-by-step explanation:

First take two points from the line (x-int (-5,0) and y-int (0,2)). Once you get that you want to find the slope using the formula [tex]\frac{Y_{2} -Y_{1} }{X_{2}- x_{1} }[/tex]. Substitute the values and find the slope. Once you find the slope (m) to be [tex]\frac{2}{5}[/tex], take any of the two points and apply it to the slope intercept formula (y=mx+b) to find b. I took the point (0,2) and applied it to the formula. It should look like 2= [tex]\frac{2}{5}[/tex](0)+b. Solve for b by multiplying 2/5 by zero and your left with 2=b. Plugin the missing varibles for the equation and it should come out to be y= [tex]\frac{2}{5}[/tex](x)+2.

mean; 147

median; 147

mode; 152

Answer:

Step-by-step explanation:

Salary increase in 2 years = Salary in fifth year - salary in 3rd year

    = 87,023 -  43,250

     = $ 43,773

Salary increase per year= 43773/2 = $ 21,886.50

Step-by-step explanation:

let tye number Ahmed thinks be x.

so, a/q

the equation is,

→ 2x/5 = 4

→ 2x = 4×5 = 20

→ x = 20/2

→ x = 10

therefore, he thinks the number 10.

hope this answer helps you dear!

Answer:

10

Step-by-step explanation:

I'm doing it from the end.

if the answer is 4, you have to multiple it by 5 and then divide it by 2

4 x 5 ÷ 2 = 10

10 multiple by 2 is 20 and 20 divided by 5 is 4 so

10 is correct answer

Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number

of gallons before draining the pool.

Step-by-step explanation:

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The graph shows the number of gallons in a pool being drained and represents a linear function.

Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,

(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)

y - 6340 = - 540x + 2160

y = - 540x + 8500

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:180 is what it need to be

Step-by-step explanation:

Answer:

x < 1 and x > -2

Step-by-step explanation:

5x - 1 < 4 and 3x + 5 > x + 1

Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.

5x < 5 and 3x + 5 > x + 1

Step 2.) Divide 5 by 5 to get the variable alone

x < 1 and 3x + 5 > x + 1

Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4

x < 1 and 2x > -4

Srep 5.) Divide -4 by 2 to get the variable alone and you get -2

x < 1 and x > -2

Answer:

58%

Step-by-step explanation:

Answer: it allows you to see both sets of data more clearly and compare them rather than having them on two different charts.

Step-by-step explanation:

Answer:

"C" 4 appears farther right because 4 is larger than -4.

Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

Answer:

36 since they are similer triangles

Longer process:

24/24 = 36/x

solve this and you get 36

Step-by-step explanation:

= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex](a+1)(\sqrt{a} +2)[/tex]

please give me a brainliest answer

Answer:

Coefficients!!!

Step-by-step explanation:

They're numbers that are multiplied by a variable.

Answer:

Step-by-step explanation:

I believe the answer would be coefficients. Coefficients are the number that is being multiplied by the variable.

Answer:

B

Step-by-step explanation:

Answer:

[tex]3^{3}[/tex]= 3*3*3 or 27

[tex]4^{3}[/tex]= 4*4*4 or 64

[tex]3^{4}[/tex]= 3*3*3*3 or 81

Step-by-step explanation:

Hope this helps! :)

Answer:

[tex]X^{3}[/tex] = [tex]3^{3}[/tex] = 3*3*3 = 27    ( Because X is equal to 3 )

[tex]4^{X}[/tex] = [tex]4^{3[/tex] = 4*4*4 = 64

[tex]X^{4}[/tex] = [tex]3^{4}[/tex] = 3*3*3*3 = 81

Step-by-step explanation:

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The two corresponding angles of the Triangles are equal and the the side between them is common between them (so equal).

So, the stated triangles are congruent by :

Answer:

53°

Step-by-step explanation:

As we can see that ∠3 and ∠7 are corresponding angles. Therefore,

Now calculate the angles of ∠3 and ∠7.

Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that

Hence the measure of ∠1 is 53°.

♦♦♦♦♦Hope it helps♦♦♦♦♦

Answer:

[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]

Answer:

He lost $12.

Step-by-step explanation:

Money Earned=$18

Money Spent=$30

Here, Money Spent is larger than Money Earned, which means that he lost money.

$30-$18

$12

He lost $12.

Answer:

he made money and lose money this week

Step-by-step explanation:

HOpe this helps

Answer:

8912

Step-by-step explanation:

don't use awnser plz

A parabola is a mirror-symmetrical U-shape.

From the question, we have:

[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]

[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]

[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]

[tex]\mathbf{0 = 6400a + 10}[/tex]

Collect like terms

[tex]\mathbf{6400a =- 10}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{640}}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

The focus of a parabola is:

[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]

[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]

[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]

[tex]\mathbf{Focus = (80, -1760)}[/tex]

The equation of the directrix is:

[tex]\mathbf{y = -a}[/tex]

So, we have:

[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix

The axis of symmetry is:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

We have:

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]

A quadratic function is represented as:

[tex]\mathbf{y = ax^2 + bx + c}[/tex]

So, we have:

[tex]\mathbf{a = -\frac{1}{640}}[/tex]

[tex]\mathbf{b = \frac{1}{4}}[/tex]

Recall that:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

So, we have:

[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]

[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]

This gives

[tex]\mathbf{x = \frac{320}{4}}[/tex]

[tex]\mathbf{x = 80}[/tex]

Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]

Read more about parabola at:

https://brainly.com/question/21685473

Answer:

3 or 5 cause there is  2 eights 2 fours 3 ones 2 six's  2 two's 2 sevens

Step-by-step explanation:

the answer must be because i don't know 6