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kykrilka [37]
3 years ago
12

Solve each system by substitution. (3x+2y=23, 1/2x-4=y), (4x=3y-2, 18=3x+y), (4y+3=3y+x, 2x+4y=18), (4y-x=5+2y, 3x+7y=24)

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0
(31/4, 1/8)

(4,6)
these are the answers to the first two 
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Arianna runs up 4.5 flights of stairs. How far will Arianna have to run down to represent an additive inverse?
nignag [31]
Yes she would. bc she run up 4.5 and since she is goin back down the same amount it would be negative and so she will end up at 0
5 0
3 years ago
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What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

y=\frac{\pi}{2}+\sin x

To find the inverse of this function, we interchange x and y.

x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

\sin ^{-1}(x-\frac{\pi}{2})=y

Hence the inverse of the given function is;

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

6 0
2 years ago
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If 15% of an item is $18 what is the original price??
stiks02 [169]

Answer:

If you were trying to find 15% of 18, that would be multiplying a decimal, but, you need to mutliply a whole number. $120 should be your answer. People, correct me if I'm wrong (seriously though, not 100% sure if this is correct).

Step-by-step explanation:

18 = 15% x Y

18 = 15/100 x Y

Y = 18 × 100/15

Y = 18 × 100 ÷ 15

Y = 120

6 0
2 years ago
If 10% of men are bald, what is the probability that fewer than 100 in a random sample of 818 men are bald? (Answers must be in
Greeley [361]

Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Step-by-step explanation:

Given that;

p = 10% = 0.1

so let q = 1 - p = 1 - 0.1 = 0.9

n = 818

μ = np = 818 × 0.1 = 81.8

α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58

Now to find P( x < 100)

we say;

Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12

P(x<100) = P(z < 2.12)

from z-score table

P(z < 2.12) = 0.9830

Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

4 0
3 years ago
What percent of 60 is 18
yawa3891 [41]
The answer to your question is 30%
6 0
3 years ago
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