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denpristay [2]
3 years ago
15

Determine whether the function

Mathematics
1 answer:
makkiz [27]3 years ago
4 0
The right answer is even
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NEED HELP I need to fill in the highlighted parts
Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

Prove \ x = \dfrac{62}{9}

Statement                   {} Reason

S1. 9·(x + 6) - 41 = 75   {}  R1. <u>Given</u>

S2. 9·(x + 6)  =  116        {}R2. <u>Addition property</u>

S3. <u>9·x + 54 = 116 </u>         {}R3. Distributive property

S4. 9·x = 62                   {}R4. <u>Subtraction property</u>

S5. x = \dfrac{62}{9}                     {} R5. <u>Division property of equality</u>

Question 2.

Statement                                     {}        Reason

S1. m∠A + m∠B = m∠D   {}                     R1.  Given

S2. ∠C and ∠D form a Linear Pair   {}   R2. Definition of linear pair

S3. ∠C and ∠D are supplementary   {}R3. <u>Linear pair ∠s are supplementary</u>

S4. <u>∠C + ∠D = 180° </u>  {}                           R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180°   {}         R5. <u>Substitution property</u>

Question 3.

Statement                                     {} Reason

S1. ∠BDA ≅ ∠A                             {} R1. Given

S2. ∠BDA ≅ ∠CDE                      {}  R2. <u>Vertical angle theorem</u>

S3. ∠CDE ≅ ∠A                      {}       R3. Transitive property of congruency

S4. m∠CDE = m∠A                    {}   R4. <u>Definition of congruency</u>

S5. <u>(13·x + 20)° = (14·x + 15)°</u>      {}   R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5°                       {}R6. <u>Subtraction property</u>

S7. x = 5                      {}                  R7. Subtraction property

Learn more here:

brainly.com/question/11331230

6 0
3 years ago
What is the solution of the system? Use elimination. <br><br> 5x-6y=-32<br> 3x+6y=48
vampirchik [111]

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

7 0
2 years ago
Read 2 more answers
Megan is deciding when she needs to leave for school. If it typically takes her 15 minutes to walk to school, which is a reasona
Andreas93 [3]

Answer:

A) between 7:40 and 7:45

Step-by-step explanation:

Given,

The maximum time taken by her to walk to school = 15 minutes,

Since, the school starts on 8:00 AM,

Also, 15 minutes before 8:00 AM = 7:45 AM,

Thus, the maximum time at which she has to leave home = 7: 45 AM,

Hence, the reasonable estimate of the time she should leave home to get to school by 8:00 is between 7:40 and 7:45.

OPTION A would be correct.

3 0
3 years ago
Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and
storchak [24]

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

7 0
2 years ago
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
jasenka [17]

Answer:

The minimum score of those who received C's is 67.39.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 73, \sigma = 11

If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.

Z = \frac{X - \mu}{\sigma}

-0.51 = \frac{X - 73}{11}

X - 73 = -0.51*11

X = 67.39

The minimum score of those who received C's is 67.39.

7 0
3 years ago
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