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3 years ago

What is the y-intercept of the graph of y = 2.5x?

Mathematics

1 answer:

iragen [17]3 years ago

4 0

0
Substitute a 0 in for x to find the y-intercept

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What is the equation of the graphed line

11Alexandr11 [23.1K]

Answer:

y = 2x + 3

Step-by-step explanation:

The y-intercept is clearly marked: it's b = 3 (or 0, 3).

Going from the point (-3, -3) to the point (0, 3),

x increases by 3 and y increases by 6. Thus, the slope of the line through these two points is m = rise / run = 6 / 3, or m = 2.

Starting with the slope-intercept form of the equation of a straight line:

y = mx + b, we substitute 2 for m and 3 for b, obtaining:

y = 2x + 3

6 0

3 years ago

Read 2 more answers

What is the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81?

Marizza181 [45]

Answer: d. 1.3333

Step-by-step explanation:

We know that the standard error of a sampling distribution is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}$

, where $\sigma$ = Population standard deviation.

n= Sample size.

AS per given , we have

$\sigma =12$

n=81

Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-

$S.E.=\dfrac{12}{\sqrt{81}}$

$=\dfrac{12}{\sqrt{9^2}}=\dfrac{12}{9}\\\\=\dfrac{4}{3}\\\\\approx1.3333$

Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.

Thus the correct answer is d. 1.3333 .

6 0

3 years ago

Suppose f(x)=3x^2-2x Find f (-4)

Lerok [7]

f(-4) = 3(-4)^2 - 2(-4)

f(-4) = 3(16) + 8

f(-4) = 48 + 8

f(-4) = 56

I think the answer is 56 :)

Please give BRAINIEST :)

7 0

3 years ago

Read 2 more answers

Evaluate (6 + 2i) / (3 –i ). 5/4 + 6/4i 8/5 + 6/5i 20/8 + 12/8i 16/9 + 12/9i

Yuki888 [10]

We are given with a complex no. and need to simplify it , so let's start !!!

Let's assume that :

${:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}$

Now , Rationalizing the denominator or in other words multiplying and dividing ${z}$ by the conjugate of the denominator

${:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}$

${:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}$

${:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}$

${:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}$

${:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}$

${:\implies \quad z=\sf \dfrac{16+12\iota}{10}}$

${:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}$

${:\implies \quad {\bf \therefore}\quad \underline{\underline{z=\bf \dfrac{8}{5}+\dfrac{6}{5}\iota}}}$

Hence , Option B) (8/5) + (6/5)i is correct :D

7 0

2 years ago

If the lengths of PW and PQ are given, can the length of QW be determined?

Tema [17]

Answer:

Yes

Step-by-step explanation:

The length of QW can be determined from PW and PQ by figuring out what the lengths are for Q and W in PW and PQ.

4 0

3 years ago