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fgiga [73]
3 years ago
7

(Y = -x + 4), (y = 3/2x - 6)

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

- x + 4 =  \frac{3}{2} x - 6 \\  - 2x + 8 = 3x - 12 \\ 2x - 8 =  - 3x + 12 \\ 5x = 20 \\ x = 4

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Eli takes a typing test and types all 300 words in 1/10 hour. He takes the test a second time and types the words in 1/12 hour w
anzhelika [568]

Answer:

The second attempt was faster

Step-by-step explanation:

The first attempt took 6 minutes to finish and the second attempt took 5 minutes to finish. 6 minutes is slower than 5 minutes

4 0
3 years ago
If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability
xz_007 [3.2K]

Answer:  a) 0.99917  b)  0.7054  c) 0.9820

Step-by-step explanation:

Let X denotes the number of people are in favor of a proposed rise in school taxes.

Era re given that p(probability that a person is in favor of a proposed rise )= 0.65

Sample size : n= 100

Mean= np = 100(0.65)=65

Standard deviation: \sigma=\sqrt{np(1-p)}\\\\=\sqrt{100(0.65)(0.35)}\\\\=4.76969600708\approx4.77

a) Now, the probability that a random sample of 100 people will contain  at least 50 who are in favor of the proposition :

P(x\geq50)=P(\dfrac{x-\mu}{\sigma}\geq\dfrac{50-65}{4.77})\\\\=P(z\geq-3.144)\\\\=P(z-z)=P(Z

b) between 60 and 70 inclusive who are in favor;

P(60

c) fewer than 75 in favor.

P(x

3 0
3 years ago
Factor the expression. x^2 – x – 42
IgorC [24]
X^2 - x - 42 = x^2 - 6x + 7x - 42 = x( x - 6) + 7(x - 6) = (x-6)(x+7);
The correct answer is a.
5 0
3 years ago
The H.C.F and the LCM of two numbers are 36 and 720 respectively. If one of the numbers is 180, which is the other number. *
lutik1710 [3]

Answer:

let p(x)=180

LCM=720

HCF=36

WE HAVE TO FIND q(x)=?

as we know that

p(x)×q(x)=LCM×HCF

NOW WE HAVE TO FIND q(x)

q(x)=LCM×HCF/p(x)

q(x)=720×36/180

q(x)=25920/180

q(x)=144

i hope this will help you

8 0
3 years ago
Read 2 more answers
. Consider the rectangles to the right. 2x x+3 x +12 a. Write an equation that states the perimeter of two rectangles are equal.
zhuklara [117]

Answer:

rtyuiy yh duochy sduydisvc

Step-by-step explanation:

3 0
3 years ago
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