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3 years ago

What is the factored form of the expression 144x2 - 49?

Mathematics

2 answers:

PIT_PIT [208]3 years ago

6 0

Answer:

Step-by-step explanation:

Difference of squares: (a^2 - b^2) = (a - b)(a + b)

(144x^2 - 49) = (12x - 7) (12x + 7)

Nutka1998 [239]3 years ago

6 0

Answer:

A. (12x - 7) (12x + 7)

Step-by-step explanation:

144x^2 - 49

Rewriting

(12x)^2 - 7^2

Recognizing this is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( 12x-7) (12x+7)

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Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?

borishaifa [10]

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

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3 years ago

A fish dives into a depth of -3/4 mile below the surface of the water. A turtle's depth is 1/3 as deep as the fish's depth. What

Tomtit [17]

Basically you just need to multiply the two fractions together to get the depth of the turtle. Therefore the turtle is 3/12 miles deep or 1/4 mile deep.

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3 years ago

Which of the following are the zeros of the function y= 3(x-a)(x+b) in terms of a and b?

frosja888 [35]

The correct answer is option 2.

3 = 0

x - a = 0

x = a

x + b = 0

x = -b

We do not multiply any of these values by 3 because in a way, 3 is acting as another "zero" of the equation. Though, as shown above, it does not equal 0, it still does not apply to any of the other equations solved above.

Hope this helps!! :)

7 0

4 years ago

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

7 0

4 years ago

Cedar Point amusement park has some of the tallest roller coasters in the United States. The Mantis is 165 feet shorter than the

grandymaker [24]

Answer:

145 ft

Step-by-step explanation:

According to Cedar Pt web site, the height of the Millennium Force=310'

the Mantis is 165 feet shorter than the Millennium Force

the height of the Mantis=310-165=145'

here ' means feet

8 0

3 years ago