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Serggg [28]
3 years ago
6

There are 27 questions on an algebra test. All of the questions are multiple choice or constructed response. The number of const

ructed response questions on the test is six less the ten times the number of multiple choice questions. How many of each.
Mathematics
1 answer:
polet [3.4K]3 years ago
8 0
Solve using system of equations.
y=number of constructed response questions
x=number of multiple choice questions
x+y=27
y=10x-6
Replace y for 10x-6 in the first equation
x+(10x-6)=27
Simplify.
11x=33
x=3
Substitute 3 for x in any equation to get y=24
there are 3 multiple choice and 24 constructed response questions.
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If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?
Burka [1]

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side.  We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

6 0
3 years ago
The following list shows how many brothers and sisters some students have: 3, 4, 3, 5, 6, 2, 5, 4, 5, 4, 6, 5, 3 State the mode.
omeli [17]
I believe the mode is 5 because there are four 5’s which is the most of a certain number in this list.
8 0
2 years ago
T = 4v + 3<br> (a)<br><br> (b) Make V the subject of the formula T = 4v + 3
Natasha2012 [34]
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8 0
3 years ago
Which of the following pairs of items is a better​ buy?
Bas_tet [7]

Answer:

a. 6Pack of paint brushes for $12.99

b. 5 classes for $64.99

c. 12 pack of paper plates

Step-by-step explanation:

a.

I could buy a 6 pack of paint brushes for $ 12.99

or

buy 6 individual brushes for the price of $ 2.19 each.

6 x $2.19 = $13.14

first option is cheaper

b.

10 classes for s total of $150

$150 ÷ 10 = $15 (price per class)

5 classes for $64.99

$64.99 ÷ 5 = $12.998 (price per class)

c.

12 pack of paper plates for $2.29

25 pack for $4.99

$2.29 ÷ 12 = $0.1908 (price of one plate)

$4.99 ÷ 25 = $0.1996 (price for one plate)

5 0
3 years ago
15. Which statement explains why 30 is considered an irrational number?
Strike441 [17]

Consider the given number is \sqrt{30} in question as well as in options.

Given:

\sqrt{30} is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

\sqrt{30}=5.47722557505...

When evaluated, \sqrt{30} results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which  is considered an irrational number.

Therefore, the correct option is C.

6 0
3 years ago
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