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algol [13]
3 years ago
15

Identify the rule for the transformation shown in the

Mathematics
1 answer:
liq [111]3 years ago
3 0

Answer:

(x,y) → (x +4, y + 2)

Step-by-step explanation:

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How to solve the quadratic equation by factoring x^{2}+4x+3=0
Trava [24]
x^2+4x+3=0 \\\\ x^2+x+3x+3=0 \\\\ x(x+1)+3(x+1)=0 \\\\ (x+1)(x+3)=0 \\\\\\ x+1=0 \ \ \Longrightarrow \boxed{x=-1} \\\\ x+3=0 \ \ \Longrightarrow \boxed{x=-3}
5 0
4 years ago
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Do these ratios form a proportion?
telo118 [61]

Answer:

No, because both of them will never be able to match; become equivalent. You would have to multiply 2 different numbers to make them match, meaning they would not be proportional. For a comparison to be proportional, the ratio you are trying to simplify to must be achieved by multiplying 2 numbers from the previous ratio by one LCD.

\frac{3\cdot 4}{7 \cdot 3} = \frac{12}{21}

They are<em> able</em> to make 12/21, but that does not mean they are proportional.

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2 years ago
Image below, wont let me copy
loris [4]

Answer:

A (equals -320.0064 just like in the question)

3 0
3 years ago
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
Segment XZ is bisected by point Y. If XY= 12x, and the measure of XZ= 18x-6, solve for x.​
NeX [460]

let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.

\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1

8 0
3 years ago
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