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3 years ago

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Mathematics

2 answers:

pashok25 [27]3 years ago

8 0

Answer

12.25

Explanation

x² + 7x = 4

The number that should be added on both sides is the square of half the coefficient of x.

That is (7/2)².

(7/2)² = 7²/2²

= 49/4

= 12.25

∴ x² + 7x + 3.5² = 4 + 12.25

(x + 3.5) ² = 16.25

galina1969 [7]3 years ago

8 0

Answer:(7/2)2

Step-by-step explanation:the answer is (7/2) to the second power.

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The jogging track is of a mile long. If Ashley jogged around it 4 times, how far did she run?

matrenka [14]

Answer: 4 miles

Step-by-step explanation:

If Ashley ran 1 mile 4 times, she ran 1+1+1+1, or 1*4, or 4 miles.

Hope it helps <3

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3 years ago

Write and evaluate the expression. Then, complete the statements. A 1-column table with 5 rows. Column 1 is labeled Multiplicati

77julia77 [94]

Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

We have given that k = 12. 2

We have to find the expression

<h3>What is the writing and evaluating the expression?</h3>

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

Write the expression as 3k

Second, substitute 12.2 in for the variable, k.

Third, simplify by multiplying 3 and 12.2.

Therefore the answer is 36.6

Learn more about expression here:

brainly.com/question/723406

4 0

2 years ago

Solve the inequality below for x. -3.2(2x-1) less than or equal to 17.6

zhenek [66]

$- 3.2(2x - 1) \leqslant 17.6 \\ - 6.4x + 3.2 \leqslant 17.6 \\ - 6.4x \leqslant 14.4 \\ x \geqslant 2.25$

3 0

3 years ago

The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e

MaRussiya [10]

Answer:

$y=-\frac{1}{4}x+2$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope of line S using line R (m)

$y=-\frac{1}{4} x+3$

We can identify clearly that the slope of the line is $-\frac{1}{4}$ , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be $-\frac{1}{4}$ . Plug this into $y=mx+b$ :

$y=-\frac{1}{4}x+b$

2) Determine the y-intercept of line S (b)

$y=-\frac{1}{4}x+b$

Plug in the given point (-4,3) and solve for b

$3=-\frac{1}{4}(-4)+b\\3=1+b$

Subtract 1 from both sides to isolate b

$3-1=1+b-1\\2=b$

Therefore, the y-intercept is 2. Plug this back into $y=-\frac{1}{4}x+b$ :

$y=-\frac{1}{4}x+2$

I hope this helps!

6 0

3 years ago

A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t

zepelin [54]

Answer:

The probability that the second favorite character will die given that the first favorite character dies is 0.53

This kind of probability is called conditional probability

Explanation:

Name the events and their probabiities:

Event A: her favorite character will survive, so P (A) = 0.70

Event B: her her second favorite character will die, so P(B) = 0.75

Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

P (X | Y) = P (X and Y) / P (Y)

So, replacing with our terms, we get:

P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53

5 0

3 years ago