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4 years ago

Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1

Mathematics

1 answer:

BartSMP [9]4 years ago

4 0

Answer:

zeroes: x = -9 and x = -7

Step-by-step explanation:

f(x)=(x+8)^2−1

A "zero" refers to when the y-value on the graph is zero.

0 = (x+8)^2 - 1

1 = (x+8)^2

+ or - 1 = x+8

so break them apart into two equations

x+8 = 1 OR x+8 = -1

x = -7 OR x = -9

You can plug both back in to check that the equation works!

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A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are

hodyreva [135]

Answer: This kind of advertising is accurate.

Step-by-step explanation:

Since we have given that

Cost of their most popular meals are as follows:

$\$7,\$8,\$8,\$12,\$13,\$15,\$17,\$18,\ and\ \$20$

As we have given that the mode cost of their most popular meals is $8.

As we know that "Mode" refers to the most occurring number that we can found in the data.

Here, we can see that $8 occurs 2 times , which is the most occurring cost among them.

Hence, Mode = $8.

So, This kind of advertising is accurate.

8 0

3 years ago

Read 2 more answers

Ryder Industries is considering a project that will produce cash inflows of $92,000 a year for five years. What is the internal

RSB [31]

Answer:

20.02%

Step-by-step explanation:

Formula : $NVP = 0 =-P_0 + \frac{P_1}{(1+IRR)} + \frac{P_2}{(1+IRR)^2} + . . . +\frac{P_n}{(1+IRR)^n}$

$P_0 = 275000$

n = 1,2,3,4,5

Substitute the values in the formula :

$0 =-275000 + \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}$

$275000 = \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}$

Solving for IRR using calculator

IRR = 20.02

Hence the internal rate of return if the initial cost of the project is $275,000 is 20.02%

4 0

4 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

IrinaK [193]

Answer:

1,041.9feet

Step-by-step explanation:

Given the height of the rocket expressed as

y = -16x² + 245x + 104

At maximum height, dy/dx = 0

dy/dx = -32x+245

0 = -32x+245

32x = 245

x = 245/32

x = 7.65625

Get the maximum height

Recall that;

y = -16x² + 245x + 104

Substitute the value of x;

y = -16(7.65625)² + 245(7.65625) + 104

y = -937.890625 + 1,875.78125 + 104

y = 1,041.890625feet

Hcne the maximum height to the nearest foot is 1,041.9feet

4 0

3 years ago

Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center

vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

Step-by-step explanation:

Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.

Area of 1 triangle= $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 11.8\times 8.1$

= 47.79 sq inches.

Area of regular pentagon=area of 5 congruent triangles= $5\times 47.79$ =238.95 sq inches.

5 0

3 years ago

ITS EASY PLS HELP !!!

denpristay [2]

Answer:

26/9

Step-by-step explanation:

5 0

3 years ago