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3 years ago

What is the y-intercept of the function,represented by the table of values below?

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

Answer:

So the y-intercept is 10.

Step-by-step explanation:

So your table doesn't out right say the y-intercept. If it did it would be (x=0,y=something).

So let's see if this is linear. I'm going to see if we have the same rise/run ratio per pair of points as shown in the attachment:

These ratios are all the same -6/3 = -2/1 = -4/2 = -6/3 . These are all equal to -2.

So this is a line.

Linear equations in the form y=mx+b is called slope-intercept form where m is the slope and b is the y-intercept.

We just found m to be -2.

So our equation is now in the form y=-2x+b.

We can find b, the y-intercept, by using a point on this line. I like (4,2) from the table.

(x,y)=(4,2) with y=-2x+b will give us the information we need to find b.

2=-2(4)+b

2=-8+b

2+8=b

10=b

b=10

So the y-intercept is 10.

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Consider two boxes, one containing one black and one white marble, the other, two black and one white marble. A box is selected

valina [46]

Answer:

$\frac{7}{12}$

Step-by-step explanation:

Probability refers to chance of happening of some event.

Conditional probability is the probability of an event A, given that another event B has already occurred.

$B_1,B_2$ denote the two boxes.

In box $B_1$ :

No. of black balls = 1

No. of white balls = 1

In box $B_2$ :

No. of black balls = 2

No. of white balls = 1

Let B, W denote black and white marble.

So, probability that either of the boxes $B_1,B_2$ is chosen is $\frac{1}{2}$

Probability that a black ball is chosen from box $B_1$ = $\frac{1}{2}$

Probability that a black ball is chosen from box $B_2=\frac{2}{3}$

To find:probability that the marble is black

Solution:

Probability that the marble is black = $\frac{1}{2}(\frac{1}{2} )+\frac{1}{2}(\frac{2}{3})=\frac{1}{4}+\frac{1}{3}=\frac{7}{12}$

6 0

3 years ago

50 POINTS!!! In the figure, AC and BD bisect each other. The length of AB is 12 centimeters and the length of BC is 11 centimete

Olin [163]

Answer:

First blank: 11 Second blank: 12

Step-by-step explanation:

Since this is a parallelogram AB is parallel to DC and AD is parallel to BC.

Another thing the image includes is the lengths from the points, the opposing points have equal distances from the midpoint.

5 0

3 years ago

Greg spent $4 on 5 packs of sport cards.

tino4ka555 [31]

Answer:

(a) Money spend on each pack will be $0.8

(b) Money send on each pack will be $0.2

Step-by-step explanation:

We have given that Greg spent $4 on 5 packs of spot card

(a) We have to find how much Greg spend on each pack

Cost of each pack will be $=\frac{4}{5}=$0.8$

(b) In this case it is said that Greg spent half of money

So money spent by Greg $=\frac{4}{2}=$2$

And he bought twice of pack than earlier

So number of packs he bought $=5\times 2=10$

So money spend on each pack will be equal to $=\frac{2}{10}=$0.2$

5 0

4 years ago

Si a = 7; b = – 2 , entonces 6ab es:

aleksklad [387]

$\implies {\blue {\boxed {\boxed {\purple {\sf {d. \: - 84}}}}}}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}$

✒ $\: 6\:a\:b$

Plugging in the value "a = 7" and "b = -2" in the above expression, we have

✒ $\: 6 \times 7 \times ( - 2)$

✒ $\: - 84$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

3 0

3 years ago

What are the vertical asymptotes of f(x) = 10/ x^2 - 1

Veronika [31]

Vertical asymptotes ares found where the function is undefined. f(x) is undefined when the denominator equals zero:

x^2-1=0

<em>*Add 1 to both sides*</em>

x^2=1

<em>*Take the square root of both sides*</em>

x=+/-1

There are vertical asymptotes at x=-1 and x=1.

Hope this helps!!

8 0

4 years ago