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riadik2000 [5.3K]
2 years ago
6

Solve each system by using substitution. 3x - y = 4 x + 5y = -4

Mathematics
1 answer:
babunello [35]2 years ago
5 0

Answer:

from \: last \: equation : \\ x =  - 4 - 5y -  -  - (a) \\ substitute \: in \: first \: equation \\ 3( - 4 - 5y) - y = 4 \\  - 12 - 15y - y = 4 \\  - 16y = 16 \\ y =  - 1 \\  \\ therefore \: from \: (a) \\ x =  - 4 - 5( - 1) \\ x = 1

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Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

6 0
2 years ago
Please help!!!!!!! Thanks
stira [4]

Answer:

145

Step-by-step explanation:

m<4 and m<3 would equal 90 so subtract 55 from 90 and you get 35 for m<3 so you subtract 35 from 180 and you get 145

3 0
3 years ago
Write the ratio 4 L : 5.6 L as a fraction in the simplest form with whole numbers in the numerator and denominator
Fiesta28 [93]

Answer:

Step-by-step explanation:

It's 5/7

You get that by having a calculator that does that. If you don't then the way to do it is multiply the numerator and denominator by 1.25

4 * 1.25 = 5

5.6 * 1.25 = 7

8 0
2 years ago
The figure shows the graph of f(x) as a solid curve and the graph of g(x) as a dashed curve which equation describes the relatio
Olenka [21]

Answer:

A. g(x) = f(x - 6) + 2

Step-by-step explanation:

Vertex moves from:

(-6,-2) to (0,0)

g(x) = f(x - 6) + 2

4 0
3 years ago
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 1
melomori [17]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

\bar{x}=63 \\

Now we can calculate z by z-score formula as

z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}  \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :brainly.com/question/12402189

5 0
2 years ago
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