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Ivan
3 years ago
7

Enter your answer and show all the steps that you use to solve this problem in the space provided

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer: x = -4, x = 5

Step-by-step explanation:

You can use the substitution method for this problem.

y = x^{2} + 2x, but y also = 3x +20.

Because of this, you can determine that x^{2} +2x = 3x + 20 because they are both equal to the same thing, y.

Solve the quadratic equation you got from substitution:

x^{2} + 2x = 3x + 20

x^{2} -x = 20

x^{2} -x -20 = 0

You can factor this equation:

(x+4)(x-5) = 0

x = -4, x = 5

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Please Help. Tristen is building 3 trophies using Legos. He needs 324 total Legos. Tristen uses 220 Legos for the largest trophy
velikii [3]

Answer:

1. The equation is given as

324 = 220 +135 + C

2. We have 166 As the correct answer but is not in the option

Step-by-step explanation:

We are been given the following values

No. of trophies = 3

Total Legos required for all trophies = 324

No. of Legos for largest trophy(A) = 220

No. of Legos for smallest trophy(B) = 135

No. of Legos required for final trophy(C) which is unknown

Total legos will addition of everything

Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]

Substituting the values

324 = 220 +135 + C

Making C subject of formula

324 = 355 + C

324 - 355 = C

-31 = C

135 + 31 = 166

We have 166 As the answer

8 0
3 years ago
Activity 1: Put me in the Box!
Contact [7]

Step-by-step explanation:

To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

             1. Vertical angles are congruent

             2. Bats are mammals that can fly.

             3. You are a good citizen when you obey rules and regulations.

             4. A number is divisible by 10 if its last digit is a 0.

             5. 3x + 6 = 21, because x = 5​

Proof -

Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

Given statement - A number is divisible by 10 if its last digit is a 0.

Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

Conclusions - Its last digit is 0.

5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5

6 0
3 years ago
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He will do about 16 rotations
6 0
3 years ago
Ashlyn and Meg went to the mall. Ashlyn spent $120.01. If they spent $252.85 together, how much did Meg spend?
german
252.85 - 120.01 = 132.84 
Meg would have spent $132.84. 
8 0
3 years ago
Read 2 more answers
5/7x - 14 = -22. Find x.
Viefleur [7K]

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

3 0
3 years ago
Read 2 more answers
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