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Degger [83]
3 years ago
6

(d)(h)(g) 3x2 + 54x + 243gFactorize:​

Mathematics
1 answer:
amid [387]3 years ago
8 0

Answer:

(x+9)(3x+27)

Step-by-step explanation:

3x^2+54x+243 (243×3=729, Product=729, Sum=54) [27+27=54, 27×27=729]

3x^2+27x+27x+243

3x(x+9)+27(x+9)

=(x+9)(3x+27)

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What's the product of 42⁄3 and 111⁄4 ?
MArishka [77]

Answer:

a

Step-by-step explanation:


3 0
3 years ago
Geometry question to verify it​
Oksana_A [137]

Step-by-step explanation:

here's the solution,

in the given figure , sum of all angles formed with O measures 360°

because, it forms a complete angle

so,

=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°

=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)

=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle

(cuz.. right angle = 90°)

4 0
3 years ago
The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg
kifflom [539]

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

6 0
4 years ago
What is x if -3x + 6 =39<br>​
solong [7]

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

<u><em>Hope This Helps!</em></u>

3 0
3 years ago
Read 2 more answers
Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
olga55 [171]

Answer:

623

Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

a) The confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\

b) The margin of error (E) is given as:

<h3>E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\\\\sqrt{n}= z_{\frac{\alpha}{2} }*\frac{\sigma}{E }\\ \\n=( z_{\frac{\alpha}{2} }*\frac{\sigma}{E })^2\\\\Substituting:\\\\n=(2.58*\frac{29}{3} )^2=622.0036\\\\\\n=623(to\ the \ next\ whole\ number)</h3>

The minimum sample size (n) is 623

3 0
4 years ago
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