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2 years ago

Given that f(x) = x^2+ 11x + 30 and g(x) = x + 6, find

Mathematics

1 answer:

kaheart [24]2 years ago

6 0

Answer:

X^3+17x^2+96x+180

Step-by-step explanation:

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If BE is parallel to CD, the. The value of x is: A. 10 B. 6 C. 9

sveta [45]

Corresponding sides have the same ratio, so
x/15 = 12/(12+8) = 3/5
x = 15*3/5
x = 9

4 0

2 years ago

PLEASE HELP PLEASE 9. A lake has an average depth of 4 feet. A new dam has just been completed, and the average depth of the lak

hoa [83]

Answer:

Step-by-step explanation:

I had the same question

6 0

2 years ago

Tom planted 1/2 of an 8-ft by 9-ft garden with vegetables. He planted tomatoes in 1/3 of the vegetable garden and corn in the re

ser-zykov [4K]

Answer:

Corn was planted in 24 sq.ft. of the vegetable garden.

Step-by-step explanation:

Length of garden = 9 ft

width of garden = 8 ft

Hence we will first find the total area of garden.

Total area of garden = length × width = $8 \times 9 = 72ft^2$

He planted 1/2 of the garden with vegetables.

Hence.

Area of Vegetables garden = $\frac{1}{2}\times \textrm{Total Area of Garden} = \frac{1}{2}\times 72 = 36ft^2$

He planted tomatoes in 1/3 of the vegetable garden and corn in the rest

Area in which tomatoes was planted = $\frac{1}{3}\times \textrm{Area of Vegetables Garden} = \frac{1}{3}\times 36 = 12ft^2$

Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = $36ft^2-12ft^2=24ft^2$

Hence Area of vegetable garden in which corn was planted is 24 sq.ft.

7 0

2 years ago

You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 14 percent, –9 percent, 16 perc

MatroZZZ [7]

Answer:

a. 9%

b. 0.01445

c. 12.02%

Step-by-step explanation:

n = 5 years

Return rates = 14%, –9%, 16%, 21%, and 3%

a. Arithmetic average return

$A= \frac{14-9+16+21+3}{5} \\A=9.00$

b. Historical variance (to 5 decimal places)

$V= \frac{\sum (X_i-A)^2}{n-1} \\V= \frac{(0.14-0.09)^2+(-0.09-0.09)^2+(0.16-0.09)^2(0.21-0.09)^2(0.03-0.09)^2}{5-1}\\ V=0.01445$

c. Standard deviation.

$s = \sqrt{V} \\s= \sqrt{0.01445}\\s=0.1202 = 12.02\%$

8 0

2 years ago

Describe how to draw a line that passes through the origin and has a slope of -2/3

Bas_tet [7]

Place a dot on the origin.
A line that has a slope of $\frac{-2}{3}$ goes by this formula:
$\frac{rise}{run}$
So "rise -2" and "run 3."
Rise -2 is basically go down 2, so go down 2 units from the origin. Run 3 means go right 3 units from (0, -2).
Draw a line through (3, -2) and (0, 0).

5 0

2 years ago