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2 years ago

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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3 years ago

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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)

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