Please Help, Geometry Work due Tomorrow

1) x= 7

2)a. x=8, x=1

b.x=4,x=-1

3)(5,2)

Step-by-step explanation:

problem 1:

1) Distribute

4(x-5)=x+1

4x-20=x+1

2) Add 20 to both sides of the equation

4x-20=x+1

4x-20+20=x+1+20

3) Simplify

*Add the numbers

4x=x+21

4) Subtract x from both sides of the equation

4x=x+21

4x-x=x+21-x

5) Simplify

*Combine like terms

3x=21

6) Divide both sides of the equation by the same term.

3x=21

3x/3=21/3

7) Simplify

*Cancel terms that are in both the numerator and denominator

*Divide the numbers

Result: x=7

problem 2:

a

1) Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

x²-9x+8=0

2) Factor

* Write your equation in factored form

(x-8)(x-1)=0

3) Create two separate equations

*set each factor equal to 0

x-8=0

x-1=0

4) solve

*rearrange and isolate the variable to find each solution

x=8

x=1

b.

1) move terms to the left side

2x²+7x-4=x²+10x

2x²+7x-4-(x²+10x)=0

2) distribute

2x²+7x-4=x²+10x

2x²+7x-4-x²-10x=0

3) combine like terms

2x²+7x-4-x²-10x=0

1x²+7x-4-10x=0

4) Multiply by 1

1x²+7x-4-10x=0

x²+7x-4-10x=0

5) combine like terms

x²+7x-4-10x=0

x²-3x-4=0

6) Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

x²-3x-4-0

7) Factor

Write your equation in factored form

(x-4)(x+1)=0

8) Create two separate equations

Set each factor equal to zero

x-4=0

x+1=0

9) Solve

Rearrange and isolate the variable to find each solution

x=4

x= -1

-=

problem 3:

x+4y=13

x-y-3

multiplying this one by -1

x+4y=13

-x+y=-3

0x+5y=10

5y=10

y=10/2

y=2

since we know that

x-y=3

x-(2)=3

x=5

(5,2)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.