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guajiro [1.7K]
2 years ago
6

FIRST ANSWER RIGHT IS BRAINLIEST

Mathematics
1 answer:
Nana76 [90]2 years ago
6 0

Answer:

  (a)  (–5, 20) and (4, 11)

Step-by-step explanation:

The answer choices can be tried in the equations.

  A: -5+20 = 15, 4+11 = 15; (-5)² -5 = 20, 4² -5 = 11 . . . . correct choice

  B: 3+4 ≠ 15 . . . . fails first equation

  C: 5+10 = 15, -4+19 = 15; 5² -5 ≠ 10 . . . . fails second equation

  D: 5+20 ≠ 15 . . . . fails first equation

_____

When there is one linear and one quadratic equation, it usually works well to solve by substitution. Here, we can use the second equation to substitute for y in the first equation:

  x +(x² -5) = 15

  x² +x = 20 . . . . add 5

  x² +x +0.25 = 20.25 . . . . add 0.25 to complete the square

  (x +0.5)² = (±4.5)² . . . . write as squares

  x = -0.5 ± 4.5 . . . . . . . take the square root

  x = -5 or 4 . . . . matches choice A

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Answer:

b. (-8, -2)

Step-by-step explanation:

Reflection across the x-axis

(x, y) ---> (x, -y)

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5 0
3 years ago
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A soccer team will sell T-shirts for a fundraiser. The company that makes the T-shirts charges $10 per shirt plus a $20 shipping
FinnZ [79.3K]
a. Write and graph an equation in two variables that represents the total cost of ordering the shirts.
 For this case, the first thing we must do is define variables:
 c = total cost
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 c (x) = 10x + 20
 Answer:
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 b. Choose an ordered pair that lies on your graph in part (a). Interpret it in the context of the problem.
 
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3 0
3 years ago
Evaluate the equation: a + 1.23 = 3.6
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Hope it helps!
4 0
3 years ago
Please help!
Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

              2                   10

              4                  20

              6                  30

              8                  40

Compute the  rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5

The  rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

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Ainat [17]

Answer: highest number - lowest number

Step-by-step explanation:

6 0
4 years ago
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