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Leni [432]
3 years ago
12

Create a table of some number pairs that satisfy the equation 3x+y=9

Mathematics
1 answer:
olga55 [171]3 years ago
8 0
X y
0 9
1 6
2 3
3 0
4 -3
5 -6
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Let g(x)=5x-1 and h(x)=X^2-1<br> Solve:<br> g(h(x))=74
AURORKA [14]

Answer:

Let's replace the h(x) function in g(x) and then use 74 as a result on the axis y. The correct answer is 4 .

4 0
3 years ago
If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
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The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\&#10;S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=40000\\&#10;r=1.042\\&#10;n=15&#10;\end{cases}&#10;\\\\\\&#10;S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)&#10;\\\\\\&#10;S_{15}\approx 812951.42
5 0
3 years ago
Which pair shows equivalent expressions?
maria [59]
The equivalent expression is A
7 0
2 years ago
10. The perimeter of a triangle is 48'. The sides are in the ratio of 1 to 2 to 3. Find the three sides.​
pentagon [3]

Answer:

Step-by-step explanation:

The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.

1x + 2x + 3x  = 48'

6x = 48'

x = 8'

The lengths of the sides are 8', 16', 24'

4 0
2 years ago
5x^3-7x Factor the expression completely.
DanielleElmas [232]

Answer:

x(5x²-7)

Step-by-step explanation:

5x³-7x

=x(5x²-7)

To prove your answer,let's multiply x by each term in the bracket

=x X 5x²=5x³

x X -7 =-7x

4 0
2 years ago
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