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Airida [17]
3 years ago
9

explain how the values of a and c in ax^2+bx+c help you determine whether you can use a perfect square trinomial factoring patte

rn
Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Answer:

Step-by-step explanation:

So essentially, it actually doesn't just rely on the a and c values, it also has a little to do with the b value.

If you divide the c term by the a term, and the number is a perfect square, and moreover, if you divide the b term by the a term, then divide it by 2, and then square it, if it equals the c term, then you have a perfect square.

For example, 2x^2 + 12x + 18

if you divide 18/2, you get 9 ( a perfect square)

if you then divide the b term (12) by the a term (2), you get 6, which if you divide by 2, you get 3, and then if you square, you get 9, try this pattern, and if it works, then the expression can be factored using a perfect square trinomial factoring pattern.

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Answer:

x is 16

Step-by-step explanation:

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Find the equation of the line through the points (-9,6) and (1,27).
bulgar [2K]

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that

x1 = - 9, y1 = 6

x2 = 1, y2 = 27

By substituting these values into the slope formula, we have

m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10

We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have

6 = 21/10 * - 9 + c = - 189/10 + c

c = 6 + 189/10 = 249/10

By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is

y = 21x/10 + 249/10

In decimal form, the equation of the line is

y = 2.1x + 24.9

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The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature o
irina1246 [14]

Answer:

The temperature of the liquid 15 minutes later is 151.5

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

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3 years ago
A city councilwoman is concerned that the new contractor she hired is taking too long to replace defective streetlights. She wou
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Answer:

There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.

Step-by-step explanation:

Given the data :

6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

The hypothesis:

H0: μ = 3.2

H1 : μ > 3.2

n = sample size = 12

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xbar = 4.43

Using calculator;

Sample standard deviation, s = 2.147

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.43 - 3.2) ÷ (2.147/sqrt(12)

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Since Pvalue < α ; We reject the Null

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