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olga55 [171]
3 years ago
12

Find the x-coordinate of the solution for the system of equations using the technique of SUBSTITUTION only.

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:3

Step-by-step explanation:

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a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is
ANTONII [103]

Answer:

(y-30)=2(x-10)

Step-by-step explanation:        

We have been given that a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is 50 centimeters tall.

First of all we will find slope of our line using given points.

m=\frac{y_2-y_1}{x_2-x_1}

Upon substituting coordinates of our given points in slope formula we will get,

m=\frac{50-30}{20-10}

m=\frac{20}{10}=2

Therefore, slope of our given line is 2.    

Since the equation of a line in point slope form is (y-y_1)=m(x-x_1).

Upon substituting m=2 and coordinates of one point in above equation we will get,

(y-30)=2(x-10)

Therefore, the equation that models the height of the plant (y) after x days will be (y-30)=2(x-10).

5 0
3 years ago
Read 2 more answers
Victor made a cake for his cousin's birthday party. Victor baked the cake for 40 minutes. It took 8 times as long for Victor to
irga5000 [103]

Answer:

320 min. or 5 hrs 20 min.

Step-by-step explanation:

40 x 8 = 320

6 0
3 years ago
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?<br><br> –4<br> 8<br> 12<br> 24
monitta

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

6 0
3 years ago
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In 1990, the price of a gallon of unleaded gasoline was $1.37. In 1998, it was $1.02 per gallon. What is the decrease expressed
mojhsa [17]
The decrease is 35c

Q= X/100 of $1.37 = 0.35

1.37x/100 = 0.35

1.37x = 35 then divide each side by 1.37

Result is 25.5474453 percent, round up to nearest tenth.
Answer is 25%

7 0
3 years ago
The line x=6 is: <br> A: horizontal <br> B: vertical <br> C: neither <br> D: cannot be determined
Ad libitum [116K]
Idk no but you should txt me I will have your answer in a min
5 0
3 years ago
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