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seraphim [82]
3 years ago
12

Complete the square for 2x2 - 4x = 14.

Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Given

2x² - 4x = 14 ( divide through by 2 )

x² - 2x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 7 + 1

(x - 1)² = 8 → B

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Jane thinks of a number. call it X. She doubles her number, then adds 5 to double the number. What is the number?​
Anni [7]

Answer:

4X + 5

Step-by-step explanation:

We start with the unknown number, X.

Doubling the number :

⇒ 2 × X

⇒ <u>2X</u>

<u />

Adding 5 to double the number :

⇒ 2(2X) + 5

⇒ 4X + 5

6 0
3 years ago
A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential
stepan [7]
We assume the annual percentage increase is the same. We will work out the constant k using the formula

We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)

Substitute into the formula
76=72e^{6k}
\frac{76}{72}=e^{8k}
Take log both sides give
ln( \frac{76}{72})=ln(e^{6k})
0.05406722127=6k
k=0.009

We can now work out the number of population by the end of 2012 using the formula

We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)

P=72e^{0.009*10}P=78.78≈79 million


7 0
3 years ago
The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt
Andreas93 [3]

we know that


a) 1 gallon is equal to 4 quarter of gallon

so

by proportion

16.5 gallons is equal to

\frac{1}{4} =\frac{16.5}{x} \\ x=16.5*4\\ x=66quarter of gallon


b) 1 liter is equal to 1.06 quarter of gallon

by proportion

66quarter of gallon is equal to

\frac{1}{1.06} =\frac{x}{66} \\ x=\frac{66}{1.06} \\ x=62.26\\ x=62.3liters


therefore


the answer is the option

62.3L

4 0
3 years ago
a line with a slope of 1/10 passes through the point (0, 9). What is the equation in slope intercept form?
Nimfa-mama [501]

Answer:

y=1/10x+9

Step-by-step explanation:

i think, sorry if its wrong

8 0
3 years ago
Least to greatest 1/2, 2/5, 7/15
allochka39001 [22]

Answer:

Least to greatest: 7/15, 2/5, and 1/2.

Step-by-step explanation:

Hope this helps! Sorry if I had ANY grammar mistakes! :3

7 0
3 years ago
Read 2 more answers
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