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lora16 [44]
3 years ago
10

Solve the equation for y. (y-3)^2=4y-12

Mathematics
1 answer:
Nata [24]3 years ago
4 0

(y-3)²=4y-12

First we need to start by subtract 4y-12 from both sides

y²-6y+9-(4y-12)= 4y-12-(4y-12)

y²-10y+21=0

Now we need to do the factorization of the equation

we gonna factor the left side of it

(y-3)(y-7)=0

Set factors equal to 0

y-3=0 or y-7=0

y=3 or y=7

I hope that's help :0

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36 x 2 = 72

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31 rocks to start with

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4 years ago
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What is 15 divided by 10.05 in the standard algorithm 1 way​
andriy [413]

Answer:4566878888

Step-by-step explanation:

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3 years ago
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS
kari74 [83]

Answer:

a) Null and alternative hypothesis:

H_0: \pi=0.1\\\\H_a:\pi>0.1

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

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7 0
3 years ago
Three houses are mapped on a coordinate grid.
Licemer1 [7]

Step-by-step explanation:

Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).

\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}

ES

=(4;4)−(4;−3)=

(0;7)

​

\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}

EJ

=(−5;−4)−(4;−3)=

(−9;−1)

​

cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=

∣

EJ

∣∗∣

ES

∣

ES

∗

EJ

​

cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;

a = 96,34°

Solution: 96 degrees.

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3 years ago
What is the solution to the following system of
Rufina [12.5K]

Answer:

i think the correct answer of these qusion is -2,3

5 0
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