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ohaa [14]
2 years ago
7

Factor completely. 3x^2 −147=

Mathematics
1 answer:
erica [24]2 years ago
5 0

Answer:

3(x - 7)(x+7)

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that 3x^2 and -147 both have. The terms only have 3 in common, which can be divided with

3x^2 - 147\\3(x^2 - 49)

However, we're still not done since 49 is a perfect square and (x^2 - 49) can be split into 2, like so:

3(x - 7)(x+7)

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

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-4x-2y=-12 <br>4x+8y=-24​
sweet [91]

Answer:

x = 6

y = -6

Step-by-step explanation:

By adding both equations :-

=》-4x -2y + 4x + 8y = -12 + (-24)

=》-4x + 4x + 8y - 2y = -12 - 24

=》6y = -36

=》y = -36 ÷ 6

=》y = -6

putting the value of y in equation 2

=》4x + 8y = -24

=》4x + (8 × -6) = -24

=》4x - 48= -24

=》4x = 48 - 24

=》x = 24 / 4

=》x = 6

6 0
3 years ago
Read 2 more answers
Evaluate the geometric series or state that it diverges. one ninth 1 9plus+startfraction 7 over 81 endfraction 7 81plus+startfra
olasank [31]
The series converges, and its sum is 1/2.

If r > 1, the series is divergent.  If r < 1, the series is convergent.  In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.

To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio.  We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
6 0
3 years ago
Read 2 more answers
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r
fomenos

Answer: A.

H_0:p=0.12\\\\H_a:p

Step-by-step explanation:

Null hypothesis(H_0) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis (H_a): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process<em> reduces </em>the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

H_0:p=0.12\\\\H_a:p

8 0
3 years ago
What’s the answer to this, only if u know thanks!’
VladimirAG [237]

Answer:

120+(10+2x)=180

10+2x=60

2x=50

x=25degreeeee

Step-by-step explanation:

follow me in this app for more

7 0
3 years ago
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What is the slope of the tangent line at x=-3?
emmainna [20.7K]

Answer:

0

Step-by-step explanation:

x = -3 is a vertical line, which has a slope of undefined

The tangent line is a horizontal line, which has a slope of 0

4 0
3 years ago
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