what is the slope of the following 12x - 6y = 30

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

 Elaine+Tyler=34

          x+(x+8)=34

             2x+8=34

                 2x=26

                   x=13

Elaine=13 years old

Tyler=21 years old

Answer:

1/5

Step-by-step explanation:

1= 100%

1/5= 100%/5

1/5= 20%

Fraction equivalent to 20% is [tex]\frac{1}{5}[/tex]

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

A numerical quantity that is not a whole number.

We know,

A percentage is a number or ratio expressed as a fraction of 100.

Therefore,

20% = [tex]\frac{20}{100}[/tex]

Then,

[tex]\frac{20}{100}=\frac{1}{5}[/tex]

Hence, the fraction equivalent to 20% is  [tex]\frac{1}{5}[/tex]

Learn more about Percentage and Fraction here

https://brainly.com/question/12715980

#SPJ2

Answer: x y

0 1

-2 3

- 1 1

1 3

2 5

Step-by-step explanation:

Answer:

(See explanation below for further details)

Step-by-step explanation:

A second order polynomial (quadratic function) can be well represented with at least three distinct points. Let is take five equidistant different points:

x = 0

[tex]f(0) = 3\cdot (0)^{2}-8\cdot (0) +2[/tex]

[tex]f(0) = 2[/tex]

x = 1

[tex]f(1) = 3\cdot (1)^{2}-8\cdot (1)+2[/tex]

[tex]f(1) = -3[/tex]

x = 2

[tex]f(2) = 3\cdot (2)^{2}-8\cdot (2)+2[/tex]

[tex]f(2) = -2[/tex]

x = 3

[tex]f(3) = 3\cdot (3)^{2}-8\cdot (3)+2[/tex]

[tex]f(3) = 5[/tex]

x = 4

[tex]f(4) = 3\cdot (4)^{2}-8\cdot (4) + 2[/tex]

[tex]f(4) = 18[/tex]

The table of points from the equation [tex]f(x) = 3\cdot x^{2}-8\cdot x +2[/tex] is:

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

          0                             2

          1                             -3

          2                            -2

          3                             5

          4                             18

A graphic of the given function is included below as attachment.

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

Answer:

n^4+ n^3&i + n^2*i^2 + n*i^3+i^4

Answer:

1.64

Step-by-step explanation:

I'm taking the test rn

The difference in length between segments AB and AD is 1.63935 units.

We have given that,

If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units.

[tex]sin(x)=\frac{Opposite \ side}{hypotenuse}[/tex]

sin 39=AC/AB

AB=AC/sin39

=4/sin39

[tex]=6.35606[/tex]

TO FIND AD:

sin 58=AC/AD

AD=AC/sin58

=4/sin58

[tex]=4.71671[/tex]

The is difference between AB and AD is the length

AB-AD=6.35606-4.71671

AB-AD= 1.63935 units

The difference in length between segments AB and AD is 1.63935 units.

To learn more about the length of visit:

https://brainly.com/question/2217700

#SPJ2

Answer:

i believe x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The segment from the vertex to the base is a perpendicular bisector.

Thus the base is divided into 2 equal parts, that is

3x - 8 = 2x + 2 ( subtract 2x from both sides )

x - 8 = 2 ( add 8 to both sides )

x = 10

Answer:

about 49

Step-by-step explanation:

I basically estimated my way to the answer, you need to do a lot of calculations for this problem, but as long as you understand the concept, its fine by me to usr a calculator to get the percentage

Answer:49.0

Step-by-step explanation: First you subtract 26 from 51 and then divide that by the original number(51) and multiply that by 100

Answer:

g(5)=-19

Step-by-step explanation:

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19

Answer:

Step-by-step explanation:

[tex]g( x ) = -3 x -4\\\\g(5) = \:?[/tex]

Substitute 5 for x in the equation

[tex]-3(5)-4\\-15-4\\= -19[/tex]

Answer:

Step-by-step explanation:

Equation at the end of step 1

 3 -  8 • (7 - 5n)

STEP

2

:

Final result :

 40n - 53

Answer:

D

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.

The 2 arcs on the circle = 360°, thus

outer arc = 360° - 96° = 264° , then

x = [tex]\frac{1}{2}[/tex]( 264 - 96)° = [tex]\frac{1}{2}[/tex] × 168° = 84°

Answer:

D.) 84

Step-by-step explanation:

I got it correct on founders edtell

T is the midpoint of the line, meaning that in line SU, line ST and line TU are of equal length, since T is at the middle of the line.

[tex]9x=4x+25[/tex]

[tex]5x=25[/tex]

[tex]x=5[/tex]

[tex]ST=9x[/tex]

[tex]ST=9*5[/tex]

[tex]ST=45[/tex]

Hope this helps. 頑張って!

-2y+16=6+3y

16-6=3y+2y

10=5y

5=y

y=4

hope it helps

Answer:

-7y-3=2(y+4)

-(11)/(9)

Step-by-step explanation:

Answer:

The formula should be n=P/s

Step-by-step explanation:

n=Ps is the perimeter multiplied by each side. If you want to find the perimeter of each side or (P) you have to divide it by each side (s). Each side should be 6 1/2 or 6.5 cm

Answer:

Step-by-step explanation:

-59 - 2  + 29 - 8 = -61 + 29 - 8    

Here -59 & -2 have same sign, so add both

                          = -61 - 8 + 29

                         = - 69 + 29

-69 & 29 have different sign. so subtract and the answer will have the sign of the bigger number

                         = - 40

Answer:

5

Step-by-step explanation:

Because 3 x -2 -6 and -6+6=0 so -2+7 has to be 5

The required value of X + 7 is equal to 5.

An expression is given in the question ; i.e., 3x + 6 = 0

We have to find out the value of the 'X + 7'.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The given expression is 3x + 6 = 0

Let's solve it to get the value of x.

i.e.,

3x + 6 = 0

3x = - 6

x = - 2

So ,

The value of X + 7 will be ;

= -2 + 7

= 7 - 2

= 5

Thus , the required value of X + 7 is equal to 5.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Answer:

See Below.

Step-by-step explanation:

5.) A, C

6.) A, B, D

Answer:

The answer is

Step-by-step explanation:

First move (M-S)² to the right side of the equation

That's

(M-S)² = WPLM² - T

Find the square root of both sides

That's

Move S to the right side of the equation to make M stand alone

We have the final answer as

Hope this helps you

Answer:

Hey there!

Tim is correct. (-2)^4=-2(-2)(-2)(-2), which is 16.

-2 can be used as a base, because (-2)^5=32, and (-2)^6=64

Let me know if this helps :)

Answer:

15

Step-by-step explanation:

To find the average rate if change of the exponential function between the interval [2, 6], use the formula, [tex] m = \frac{p(b) - p(a)}{b - a} [/tex]

Where,

[tex] a = 2, p(2) = 4 [/tex]

[tex] b = 6, p(6) = 64 [/tex]

Plug in the above values into the formula:

[tex] m = \frac{64 - 4}{6 - 2} [/tex]

[tex] m = \frac{60}{4} [/tex]

[tex]m = 15[/tex]

Average rate of change is 15

Answer:

22.5 cm²

Step-by-step explanation:

Area of Triangle Formula: 1/2bh

Step 1: Define variables

h = 9

b = 5

Step 2: Plug into formula

1/2(9)(5)

1/2(45)

45/2

22.5 cm²

Answer:

22.5 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 9 * 5

= 22.5 cm^2.

Answer:

[tex]32\frac{2}{3}[/tex]

Step-by-step explanation:

Hello!

To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,

[tex]32\frac{2}{3}[/tex]

The answer is [tex]32\frac{2}{3}[/tex]

Hope this helps!

The expression 98 divided by 3 to a mixed number is 32 2/3

From the question, we have the following parameters that can be used in our computation:

Number = 98 divided by 3

Divide 98 by 3

so, we have the following representation

Quotient = 32

Next, we have

Remainder = 98 - 32 * 3

Evaluate the products

Remainder = 2

Hence, the fraction to a mixed number is 32 2/3

Read more about fraction at

brainly.com/question/78672

#SPJ6

Answer:

2n≤5

Step-by-step explanation:

Answer:

2n < 5

Step-by-step explanation:

2 times a number has to be less than 5.

So assuming the number is n,

2n < 5

Please pick me as brainliest.

Answer:

x = 2

Step-by-step explanation:

-43 - 4x = 3(1 - 9x)

Distribute the 3:

-43 - 4x = 3 * 1 - 3 * 9x

-43 - 4x = 3 - 27x

Add 27x to both sides:

-43 - 4x + 27x = 3 - 27x + 27x

-43 + 23x = 3

Add 43 to both sides:

-43 + 43 + 23x = 3 + 43

23x = 46

Divide both sides by 23:

23x / 23 = 46 / 23

x = 2

Answer:

The answer is

- 43 - 4x = 3(1 - 9x)

Expand the terms

That's

- 43 - 4x = 3 - 27x

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 4x + 27x = 43 + 3

Simplify

23x = 46

Divide both sides by 23

[tex] \frac{23x}{23} = \frac{46}{23} [/tex]

We have the final answer as

Hope this helps you

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

We have the final answer as

Hope this helps you

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

Equation for Tavon:

Since the sums equalize at some time, we get:

After 10 days, Juan will owe both Benito and Tavon $20

Answer:

45

Step-by-step explanation: