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Anni [7]
2 years ago
5

A computer store decides to increase the prices of all the items it sells by 15%. the store manager uses matrices to prepare the

new price list. matrix a contains the unit price of each product in each category. matrix b contains the revised price of each item in each category. how can the manager obtain the entries for matrix b? a. by adding 15 to each entry of matrix a b. by multiplying each entry of matrix a by 15 c. by multiplying each entry of matrix a by 1.15 d. by multiplying each entry of matrix a by 0.15
Mathematics
1 answer:
Andrews [41]2 years ago
7 0

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The manager could achieve scalar multiplication on Matrix A, utilizing the scalar 1.15.

<h3>What is the matrix?</h3>

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix. Matrices contain wide applications in engineering, physics, economics, and statistics as well as in different branches of mathematics.

Increasing the price by 15% would mean we exist taking 100% of the value + another 15%

100 + 15 = 115%

115% = 115/100 = 1.15.

Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.

Therefore, the correct answer is option c. by multiplying each entry of matrix a by 1.15.

To learn more about matrix refer to:

brainly.com/question/12567347

#SPJ4

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. To convert the ratio of 3:5 to 5:6, which number should be added on both?​
Pachacha [2.7K]

Answer:

7

Step-by-step explanation:

3:5 + 7 = 10:12

10:12 when shortened is 5:6

5 0
3 years ago
A textbook store sold a combined total of 438 biology and psychology textbooks in a week. The number of psychology textbooks sol
Liono4ka [1.6K]
<h2>Answer:</h2>

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold:​ 181 textbooks

<h2>Explanations:</h2>

Let the total number of biology textbook sold be "a"

Let the total number of psychology textbook sold be "b"

If a textbook store sold a combined total of 438 biology and psychology textbooks in a week, then:

a + b = 438 ................... 1

If the number of psychology textbooks sold was 76 less than the number of biology textbooks sold, then;

b = a - 76 ...................... 2

Substitute equation 2 into 1

a + (a-76) = 438

a + a - 76 = 438

2a = 438 + 76

2a = 514

a = 514/2

a = 257 biology textbooks

From equation 2;

b = a - 76

b = 257 - 76

b = 181 psychology textbooks

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold:​ 181 textbooks

7 0
1 year ago
What is the value of the expression 3a+b2 when a=14 and b=32 ?
soldi70 [24.7K]

Answer:

106

Explanation:

3a+b2

Substitute the values for the variables:

3(14) + 2(32)

Solve:

3(14) + 2(32)

42 + 64

106

5 0
2 years ago
HELPPPP PLEASEEE!!!!!
timurjin [86]

Answer: the answer is the second one.

Hope this helps

Step-by-step explanation:

4 0
3 years ago
What are the domain and range of f (x) = log (x minus 1) 2?.
statuscvo [17]

You can use the definition of logarithm and the fact that a positive number raised to any power will always stay bigger than 0.

The domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers)

<h3>What is the definition of logarithm?</h3>

If a is raised to power b is resulted as c, then we can rewrite it that b equals to the logarithm of c with base a.

Or, symbolically:

a^b =  c \implies b = log_a(c)

Since c was the result of a raised to power b, thus, if a was a positive number, then a raised to any power won't go less or equal to zero, thus making c > 0

<h3>How to use this definition to find the domain and range of given function?</h3>

Since log(x-1) is with base 10 (when base of log isn't specified, it is assumed to be with base 10) (when log is written ln, it is log with base e =2.71828.... ) thus, we have a = 10 > 0 thus the input x-1 > 0 too.

Or we have:

x > 1 as the restriction.

Thus domain of the given function is {x | x > 1 and a real number }

Now from domain, we have:

x >  1\\&#10;x-1 > 0\\&#10;log(x-1) > -\infty\\&#10;log(x-1) + 2 > -\infty\\&#10;f(x) > -\infty (log(x-1) > -infinity since log(0) on right side have arbitrary negatively large value which is denoted by -infinity)

Thus, range of given function  is whole real number set \mathbb R (since all finite real numbers are bigger than negative infinity)

Thus, the domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers

Learn more about domain and range here:

brainly.com/question/12208715

8 0
2 years ago
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