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Lilit [14]
3 years ago
6

Help me please thanks

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Answer:  (D) all real numbers

<u>Step-by-step explanation:</u>

4(a + 3) = 12 + 4a

4a + 12 = 12 + 4a     <em>distributed 4 into a + 3</em>

       12 = 12             <em>subtracted 4a from both sides</em>

        TRUE

A true statement means they are the same equation so any value you plug in for "a" will make a true statement.  There are an infinite number of solutions.


<u>Examples:</u>

Let a = 0, then 4(0 + 3) = 12 + 4(0)

                         ⇒  4(3) = 12 + 0  

                         ⇒     12 = 12

Let a = 10, then 4(10 + 3) = 12 + 4(10)

                         ⇒  4(13) = 12 + 40  

                         ⇒     52 = 52

Let a = 100, then 4(100 + 3) = 12 + 4(100)

                         ⇒  4(103) = 12 + 400  

                         ⇒       412 = 412

Any number you choose, will make a true statement so the solution is "all real numbers".

Natalka [10]3 years ago
6 0

Answer: All real numbers

Step-by-step explanation: If you plug in any number, it will work. 4(a+3) = 12+4a. a=-3  0=0


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What is the value of c in the equation 12 c minus 53 = 91?
dmitriy555 [2]

Answer:

c=12

Step-by-step explanation:

12c - 53= 91

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3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the
sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that \mu = 72.3, \sigma = 8

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

1.34 = \frac{X - 72.3}{8}

X - 72.3 = 1.34*8

X = 83

The minimum score required for an A grade is 83.

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2 years ago
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

3 0
2 years ago
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