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Readme [11.4K]
2 years ago
7

Find the least common denominator for these

Mathematics
1 answer:
Roman55 [17]2 years ago
6 0

The common denominator is 3a²

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Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find
ivann1987 [24]
6x^2+19x-15=-12x+15\\
6x^2+31x-30=0\\
6x^2+36x-5x-30=0\\
6x(x+6)-5(x+6)=0\\
(6x-5)(x+6)=0\\
x=\frac{5}{6} \vee x=-6\\\\
y=-12\cdot\frac{5}{6} +15\vee y=-12\cdot(-6)+15\\
y=-10 +15\vee y=72+15\\
y=5 \vee y=87\\\\
x=\frac{5}{6} \wedge y=5\\
x=-6 \wedge y=87
7 0
3 years ago
Read 2 more answers
A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?
Brums [2.3K]
You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
Now we subtract 188 - 47
Which is 141
$141 is the sales price.
5 0
3 years ago
Read 2 more answers
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig
Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
3 years ago
∠A and ∠B are supplementary. m∠A = (6x + 5), m∠B = (2x + 15). Find the measure of each angle.
Anastaziya [24]

Answer:

125 and 55

Step-by-step explanation:

180=8x+20

160=8x

x=20

6(20)+5                            2(20)+15=

120+5=125 degrees           40+15=55 degrees

4 0
3 years ago
Is this relation a function by using straight line test
Drupady [299]

Answer:

No

Step-by-step explanation:

Graph all points. They do not make a line.

6 0
3 years ago
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