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NARA [144]
3 years ago
11

What is the simplified expression for -3(2x - y) + 2y +2(x + y)?

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
-3(2x - y) + 2y + 2(x + y) = -3(2x) - 3(-y) + 2y + 2(x) + 2(y)

= -6x + 3y + 2y + 2x + 2y = (-6x + 2x) + (3y + 2y + 2y) = -4x + 7y
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Solve for x: 5x\10=2 is it (a) 1 (b) 4 (c) 5 (d) 20
OleMash [197]
(b) 4

5(4)/10=20/10=2
6 0
3 years ago
Which interval describes where the graph of the function is positive?
Ad libitum [116K]

Answer:

D is the correct answer.

Step-by-step explanation:

Find the portion of the graph that is above the x-axis.

8 0
2 years ago
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Claris invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed fr
just olya [345]

Answer:

$8.40

Step-by-step explanation:

The formula for calculating simple interest is

principal * interest rate * time .

Plugging 140 into the principal, or starting value, 3% as the interest rate, and 2 (years) for the time, we get 140*0.03*2 = 8.4, or $8.40 as our answer. Note that 3% turned into 0.03 as turning a percentage into a decimal requires us to divide the decimal by 100

7 0
3 years ago
Determine whether the forces in the pair are pulling at right angles to each other.
snow_tiger [21]
Given:
right triangle
a = 2.9
c = 4.2

Pythagorean Theorem: a² + b² = c²

missing value of b.

b² = c² - a²
b² = (4.2)² - (2.9)²
b² = 17.64 - 8.41
b² = 9.23
b = √9.23
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The value of b is 3.0
4 0
3 years ago
In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

a_4=54 and a_7=1458

To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

1458=54\ . \  r^3

This can be written as

$r^3=\frac{1458}{54}

$r^3=27

$r^3=3^3

Taking cube root on both sides of the equation, we get

r = 3

a_{12}=a_7\ .\ r^{12-7}

     =1458\ .\ r^5

     =1458\ .\ 3^5

a_{12}=354294

Hence the 12th term of the geometric sequence is 354294.

7 0
3 years ago
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