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Vlada [557]
3 years ago
8

Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)

2=4 C. (x−2)2=2 D. (x−1)2=3
Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

  • x²−2x − 2=0
  • x²−2x + 1 - 3 =0
  • (x - 1)² - 3 = 0
  • (x - 1)² = 3

Correct choice is D

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Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a
zvonat [6]

Answer:

Ground Chicory = 7 pounds and Jamaican Blue Mountain = 5 pounds

Step-by-step explanation:

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound.

Total cost of 12 pounds of coffee blend = 6.25 × 12 = $75

Ground Chicory = $4.40 per pound

Jamaican Blue Mountain = $8.84 per pound

Total weight of coffee blend = 12 pounds

Total amount of coffee blend = $75

Let the weight of Chicory be 'x'

The weight of Blue mountain be (12 - x)

75 = 4.40x + 8.84(12-x)

75 = 4.40x + 106.08 + - 8.84x

75 = (4.40x +-8.84x) + 106.08

75 = - 4.44x + 106.08

-4.44x = 75 - 106.08

-4.44x = -31.08

x = 7 pounds

and (12 - x) = 12 - 7 = 5 pounds

Therefore, Ground Chicory would be used 7 pounds and Jamaican Blue Mountain would be used 5 pounds.

7 0
3 years ago
Read 2 more answers
9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak
liubo4ka [24]

Answer:

t=64.2\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$9,400\\ A=\$47,100\\r=6.25\%=6.25/100=0.0625

substitute in the formula above

47,100=9,400(1+0.0625t)

solve for t

t=[(47,100/9,400)-1]\0.0625

t=64.2\ years

6 0
4 years ago
Find the quanity 103% of 19
Basile [38]

Answer:

19.57

Step-by-step explanation:

100% of 19 is 19.

In order to find out what 1% of 19, move the decimal point two place to the left. 1% of 19= 0.19. To find 3% of 19, multiply .19 x 3. add 0.19 x 3 to 19, aka add 0.57 to 19 to get 19.57= 103% of 19

6 0
3 years ago
Read 2 more answers
Write the following number in scientific notation
Elodia [21]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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Solve the equation 4x +30 = 2(x-10)
snow_tiger [21]
4x+30=2(x-10)
4x+30=2x-20
4x-2x= -30-20
2x= -50
x= -25




Mark as brainliest if you find it helpful.

4 0
3 years ago
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