divide $70 into the ratio of 2:7: 1​

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

find (fog) (x)

it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x

so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

1 + 15 = 10x (this is the same as 10x = 1 + 15)

x = 16/10 (you can leave it as a fraction)

fog(x) = 16/10

find gof (x)

we'll do the same thing again

2(1-5x) + 3

2 -10x + 3 = 0

2 + 3 = 10x

10x = 5

x = 5/10 (reduce)

x = 1/2

gof (x) = 1/2

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Answer:

[tex] \frac{1}{11} [/tex]

Step-by-step explanation:

[tex]\boxed{gradient = \frac{ y _1 - y_2}{x_1 - x_2} }[/tex]

Gradient of line segment

[tex] = \frac{7 - 6}{3 - ( - 8)} [/tex]

[tex] = \frac{1}{3 + 8} [/tex]

[tex] = \frac{1}{11} [/tex]

Answer:

can't be simplified or you can add you get the answer

Step-by-step explanation: In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Answer:

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.

graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64

1

2

3

6

Step-by-step explanation:

Answer:

c

Step-by-step explanation

First you have to find the radius.

3.5 divide by 2 = 1.75

v= 4/3 pi r ^3

v = 4/3 (3.14) (1.75)^3

v= 4/3 (3.14) (5.36)

v= 4/3 (16.83)

v= 4/3 (16.83) = (4/3) (16.83/1)

v= (4/3) (16.83/1) = 67.32/3 = 22.44

The answer is:

y=2x+3

Answer:

A

Step-by-step explanation:

when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A

4 cups of water is your answer.

Step-by-step explanation:

Answer:

The answer is 3/10

Step-by-step explanation:

I took the test using K-12

Sorry if it is late.

Answer:

95%

Step-by-step explanation:

19/20=0.95

0.95x100=95%

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

Answer: b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The shading is above the line, so it must be ≥ or >.

The line is solid, so it must be ≥.

The only choice with ≥ is the answer.

Answer: B.

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry

Answer:

[tex]\displaystyle w = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]

Multiply both sides by 20

[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]

[tex]24 = 4x - 4[/tex]

Add both sides 4

[tex]24 + 4 = 4x - 4 + 4[/tex]

[tex]28 = 4x[/tex]

Switch sides

[tex]4x = 28[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

There you go...

Have a great day ❤

Answer:

See below for answer.

Step-by-step explanation:

Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.

Step-by-step explanation:

The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).

Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.

These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:

If a is positive, and |x| = a, then:

x = a or x = -a

Answer:

hi

Step-by-step explanation:

what you want to know about this

Answer:

the answer is c dont have much time to explain

ok for the first one says

f(x)= 2 which is our Y, now we see when y is 2 our x = 1

f(x)=0 so when y= 0 , x = 2

f(1) = 2

Answer:

the volume would be 9

Step-by-step explanation:

Answer:

5.760 or 4 cube root 3

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

15^2 +36^2 = c^2

225 + 1296 = 1,551

√1551 = 39

Answer:

Check attached

Step-by-step explanation:

[] The first one you add

    () -8 + 9 = 1

    () -2/5 + 1/5 = -1/5

    () 1/1 = 5/5, 5/5 - 1/5 = 4/5

[] The second one you subtract, the + and - become a -

    () 9 - 5 = 4

    () 2/5 - 3/5 = -1/5

    () 4 - 1/5 = 3 4/5

    () 3 * 5 = 15, 15 + 4 = 19/5

[] The third one you add

    () 2 + 2 = 4

    () 1/5 + 2/5 = 3/5

    () 4* 5 = 20, 20 + 3 = 23/5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Eight is a coefficient in the equation 7x+8y

Answer:

x1=15, x2=10, angle A=45, angle B=135

Step-by-step explanation:

1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15

2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10

since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135

Answer:

Refer to the explanation for the answer!

Step-by-step explanation:

Hello! Here is what I've found:

<ABC and <DBC in the first picture are both 30 degrees.

<ABC and <DBC in the second picture are both 10 degrees.

For m<A: It would be <A = x and <B = 3x

For m<B: It would be <A = 3x and <B = x

First one is for number 2 and vice versa.

Here is ur answer

- BRAINLIEST answerer