A system of equations is given below: y = –2x + 1
6x + 2y = 22

Which of the following steps could be used to solve by substitution?

6x + 2(−2x + 1) = 22
−2x + 1 = 6x + 2y
6(−2x + 1) + 2y = 22
6(y = −2x + 1)

Answers

Answer 1

Answer:

The steps that could be used to solve by substitution is:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Substitution method--

The method of substitution states that from a equation the value of one variable is substituted in form of the other variable into the other equation.

From the first equation we have the value of y in terms of x as:

y = -2x + 1

Also, we have equation (2) as:

6x + 2y = 22

Hence, on putting the value of y we have:

6x+(-2x+1)=22

Answer 2

Answer:

The answer is A

Because this where you gonna start your substitution

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Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months.a.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60

Answers

Answer:

The monthly payment is $93.32 ⇒ answer a

Step-by-step explanation:

* Lets explain how to solve the problem

- The monthly payment is $(P(r))/(1-(1+r)^(-n) )$

where:

# P is the loan amount

# r is the rate per period in decimal

# n is the number of periods

- The loan is $3000

- We need to find the monthly payment

∴ P = $3000

- The compound monthly interest is 7.5% for 36 months

∵ The period is 12 (1 year = 12 months)

- Divide the rate as a decimal by 12

∴ $r=(7.5)/(100(12))=0.00625$

∴ r = 0.00625

∴ n = 36

* Lets calculate the monthly payment using the rule above

∵ Monthly payment = $((3000)(0.00625))/(1-(1+0.00625)^(-36))=93.32$

∴ The monthly payment is $93.32

Answer:

$93.32

Step-by-step explanation:

The window measured 5ft 6 inches by 2ft 9 inches about how many square inches of plastic would I need to cover the window

Answers

If you convert everything to inches you will get: 66"x33". So multiplying those you get 2176sq inches.

D (t)=16t□2+96t+112 where t represents time in seconds

Answers

a.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet

b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a

so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds

C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft

please help me solve these 1, 2, 7 and 8 questions!! I will also be giving out brainlest and 30 points to you if you get it right!

Answers

1. Yes it shows proportional relationship because they go by 5.
2. okay.. so your answer choices are 3) 2, 4) 10, 5) -2, and 6) 8. I'M GONNA GUESS. it's going to be #3.
3. Okay so $100- 30 - 10 = $60 That means that each hat cost $6 dollars and he bought 10 of them so 10 times 6 equals 60.
4. they cost 4.50 because she bought ten of them so if you multiply 4.50 by ten you get 45 and she had 5 left over.

Hope this helped!

:)

Please tell me which ones were wrong and which ones were right!

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?