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3 years ago

Solve for x in the equation x2 - 12x+ 36 = 90

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Answer:

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

Step-by-step explanation:

x^2 - 12x + 36 = 90

x^2 - 12x - 54 = 0

x = $\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}$

a = 1, b= -12, c= -54

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

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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.

5 0

3 years ago

The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.

Anastasy [175]

Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

5 0

3 years ago

Becky swims 3/4 of a mile each day. How many miles does she swim in 5 days?

pav-90 [236]

The answer is C. 3 3/4 is the answer.

5 0

3 years ago

While backpacking today, Mia climbed up 985 ft to the peak of the mountain and then climbed down 320 ft to a campsite. If she st

Flauer [41]

The elevation of Mia's campsite is 5,244 ft. Just add the elevation in which she started in the morning plus the 985 ft and then subtract it by 320.

6 0

3 years ago

Find the product. √5(2+√7) A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35

OverLord2011 [107]

Answer:

$\huge \boxed{2\sqrt{5} +\sqrt{35}}$

Step-by-step explanation:

$\sqrt{5} (2+\sqrt{7} )$

Expand brackets.

$\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )$

$2\sqrt{5} +\sqrt{5} \sqrt{7}$

Apply radical rule : $\sqrt{a} \sqrt{b} =\sqrt{ab}$

$2\sqrt{5} +\sqrt{5 \times 7}$

$2\sqrt{5} +\sqrt{35}$

7 0

3 years ago

Read 2 more answers