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Oksanka [162]
3 years ago
15

F(x)= 10x+6 and g(x)=

x - 6}{10} " alt=" \frac{x - 6}{10} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
F( g(x) ) = 10( [x-6] ) + 6 = 10x - 60 + 6 = 10x - 56

Please do the other problem in a similar fashion.  For "x" in g(x), substitute "10x+6."

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Solve 2x+6 ≤ 10 or 2x + 8 > 20.
Firlakuza [10]

Answer:

<h2>A. x ≤2 or x>6</h2>

Step-by-step explanation:

2x+6 ≤ 10  or  2x + 8 > 20

⇔ 2x ≤ 4  or  2x > 12

⇔ x ≤ 2  or  x > 6

6 0
2 years ago
Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°
lesantik [10]

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2=90\° ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)=90\°

2m∠1=90\°

m∠1=45\°

therefore

<u>the answer is</u>

45\°

8 0
3 years ago
Read 2 more answers
The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab
Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let \sigma_1^2 represents the variance for 16 OZ bottles and \sigma_2^2 represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be  :-

H_0:\sigma_1^2\geq\sigma_2^2

H_1:\sigma_1^2, since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

z_{\alpha}=z_{0.05}=1.645

6 0
3 years ago
Read 2 more answers
Give that m/_ y=39, find the measures of angles a and b
Amanda [17]

Answer:

  ∠a = 39°

  ∠b = 129°

Step-by-step explanation:

Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.

<h3>Application</h3>

Angle y and angle 'a' are vertical angles, so congruent.

  ∠a = ∠y = 39°

The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.

  ∠b = ∠a +90° = 39° +90°

  ∠b = 129°

8 0
1 year ago
Read 2 more answers
joey gets hired with a $100 signing bonus for a job that makes $15 an hour. Sarah does not get a singing bonus but makes $17 an
KATRIN_1 [288]
The only difference I see is that he would have money so...
8 0
3 years ago
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