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AveGali [126]
3 years ago
14

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved t

he system. y=-2x + 3 y = -2×3x​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

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Is (-1, 2) a solution?
Anni [7]

Answer:

It can be an answer to many things.

Step-by-step explanation:

There needs to be some sort of picture or other item to explain what is going on.

7 0
3 years ago
A high school student reads four more biographies than historical fiction books during the semester. The student also reads two
olga_2 [115]
B=h+4, m=h-2  now we are told

b+h+m=11, using b and m found above in this equation gives us:

h+4+h+h-2=11

3h+2=11

3h=9

h=3 and since b=h+4, m=h-2

historical=3, biography=7, mystery=1
6 0
3 years ago
Read 2 more answers
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to ma
Alla [95]

Answer:

2 cups of peanut butter

Step-by-step explanation:

Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

From the above question:

1/2 cup of oil = 1 cup of peanut butter

1 cup of oil = x

Cross Multiply

1/2x = 1 × 1

x = 1 ÷ 1/2

x = 1 × 2/1

x = 2 cups of peanut butter.

Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.

4 0
2 years ago
Andreas patio is composed of a rectangle and a semi circle as shown in the figure below which is the best estimate of the area o
Vladimir79 [104]

Answer:

38.13m²

Step-by-step explanation:

We find the area of ;

Rectangule and semicircle

Area of rectangle :

Length * width

Length = 8m ; width = 3m

Area = 8 * 3 = 24m²

Area of semicircle = 1/2 πr²

Radius, r = 3m

A = 1/2 * 3.14 * 3²

A = 1/2 * 3.14 * 9

A = 14.13 m²

Area of patio :

(24 + 14.13)m²

= 38.13m²

8 0
2 years ago
If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
BaLLatris [955]

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

6 0
3 years ago
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