MATHEMATICS
MIDDLE SCHOOL

Answer: 3 terms

https://youtu.be/0sq2PMQ_Nak

use that video to help you.

https://youtu.be/0sq2PMQ_Nak

use that video to help you.

Answer: 3 4a is one term 3b is another term and the test is the 3rd term

MIDDLE SCHOOL

What is the solution to the system of equations? 4x+y=2

x-y=3

( , )

Ok

solution is

(x,y)

so

add the equations together to cancel y''s

4x+y=2

x-y=3 +

5x+0y=5

5x=5

divide 5

x=1

subsitute

4x+y=2

4(1)+y=2

4+y=2

subtract 4

y=-2

x=1

y=-2

(1,-2)

solution is

(x,y)

so

add the equations together to cancel y''s

4x+y=2

x-y=3 +

5x+0y=5

5x=5

divide 5

x=1

subsitute

4x+y=2

4(1)+y=2

4+y=2

subtract 4

y=-2

x=1

y=-2

(1,-2)

4x+y=2

x-y=3

Solve 4x+y=2 for y

Add -4x to both sides

4x+y+-4x=2+-4x

y=-4x+2

Substitute -4x+2 for y in x-y=3

x-y=3

x-(-4x+2)=3

Simplify both sides of the equation

5x-2=3

Add 2 to both sides

5x-2+2=3+2

5x=5

Divide both sides by 5

5x/5=5/5

x=1

Substitute 1 for x in y= -4x+2

y=-4x+2

y=(-4)(1)+2

Simplify both sides of equation

y=-2

Answer : y=-2 and x=1

I hope that's help again !

MIDDLE SCHOOL

Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function W(b) = 12b represents the total amount of wood that Owen would need to build b birdhouses. What domain and range are reasonable for the function? A: D: 10 ≤ b ≤ 12

R: 0 ≤ W(b) ≤ 120

B: D: 0 ≤ b ≤ 10

R: 12 ≤ W(b) ≤ 120

C: D: 0 ≤ b ≤ 120

R: 0 ≤ W(b) ≤ 10

D: D: 0 ≤ b ≤ 10

R: 0 ≤ W(b) ≤ 120

Answer:

120

Step-by-step explanation:

A: D: 10 ≤ b ≤ 12

R: 0 ≤ W(b) ≤ 120

B: D: 0 ≤ b ≤ 10

R: 12 ≤ W(b) ≤ 120

C: D: 0 ≤ b ≤ 120

R: 0 ≤ W(b) ≤ 10

D: D: 0 ≤ b ≤ 10

R: 0 ≤ W(b) ≤ 120

W(b) = 12b.

he has enough to build 10 birdhouses, he doesn't have for more than that, he can either build no birdhouses or build 10 birdhouses, since "b" is the independent variable and thus the domain will come from it, what values can "b" safely take? "b" can be either 0 or more than 0 but nor more than 10, because Owen doesn't have enough for more than that, 0 ≤ b ≤ 10.

let's say owen chooses to build 0 birdhouses, then W(0) = 12(0) => W(0) = 0.

let's say owen chooses to build 10 birdhouses, then W(10) = 12(10) => W(10) = 120.

so the amount of wood needed for those birdhouses, namely the range, can be either 0, if he chooses to build none, or 120 if he chooses to build 10, 0 ≤ W(b) ≤ 120.

HIGH SCHOOL

There are five people sitting around the dinner table . Each person has 2/10 of a pie on their plate. How much pie is left ? Explain

There Is 0 pie left because 2 times 5 equals 10 .And ten is the amount of slices

None. because 2 pieces of pie per each person and there is 5 people are eating.

HIGH SCHOOL

Given that 3 to the power of -n= 0.2 find the value of (3 to the power of 4) to the power of n. so 3^-n=0.2 find value of (3^4)^n my working out: 1)3=n surd 0.2 2)n must be decimal number 3) cuberoot o.2=0.5848035476425733 4)so n=0.5848035476425733 5)(3^4)^0.5848035476425733=13.0643801669 6) so that answer is the value of (3^4)^n

3^-n = 0.2

1 / 3^n = 0.2

1 / 0.2 = 3^n

5 = 3^n

Log 5 = log ( 3^n)

Log 5 = n log 3

N = log 5 / log 3

N = 1.4650

So (3^4)^n = (3^4)^1.4650 = 625