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4 years ago

What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Mathematics

2 answers:

Katarina [22]4 years ago

8 0

Answer:

why didn't you give him brainliest?

Step-by-step explanation:

natka813 [3]4 years ago

6 0

First, we must find the equation of the given line. The slope is "rise over run," or the change in y over the change in x from one point to another.
The two points shown are (0,-1) and (3,1). In these points, y increases by 2. This means the change in y is 2. In these points, x increase by 3. This means the change in x is 3. Thus, the change in y over change in x is 2/3. This means that the slop of the given line is 2/3.

In the form y=mx+b, where m is the slope, b is the y intercept. This is because the y intercept occurs when x is 0. If x is zero, mx is zero, so y=b. In other words, when x equals 0, y=b. This creates the point (0,b), which is the y-intercept. Since the y-intercept of the given line is -3, the equation for this line is: y=2/3x-3.

A line parallel to this will need to have the same slope. This allows us to eliminate choices C and D, which do not have the same slope.

In order for the line to have an x-intercept of (-3,0), y must equal 0 when x is -3, since ordered pairs are (x,y). We can solve the equation using the information we know:
0=((2/3)(-3))+b
This is because we know the slope is 2/3, and that when x is -3, y is 0.

Then, we can solve from there:
0=(-2)+b (just multiply 2/3 and -3)
2=b (add 2 to both sides)

Thus, the correct equation is:
B) y=2/3x+2

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One card is randomly selected from a deck of cards. Find the odds against drawing an eight The odds against drawing an eight are

ipn [44]

Answer:

The odds against drawing an eight are $\frac{12}{13}$

Step-by-step explanation:

If there are 52 cards in a deck, 13 cards a suit and 4 suits, that means there are four eights in the deck, one of every suit.

That means, the probability of drawing an eight is:

$P_{eight}=\frac{number of eights}{cards} =\frac{4}{52}=\frac{1}{13}$

As we want to find the odds against drawing an eight, we want to find the probability of not drawing an eight.

The probability of drawing or not drawing an eight is one (the probability of taking a card if we take a card), and as they are not independent, we know that we have to sum those probabilities:

$P_{card} =P_{eight}+P_{not eight}= 1$

Then, we can find the probability of not drawing an eight:

$P_{not eight}= 1- P_{eight}=1-\frac{1}{13} =\frac{12}{13}$

That means, in average, 12 out of 13 times we will not draw an eight.

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4 years ago

George cut 2/3 of the pie and put that giant piece on his plate then he ate 1/4 of that piece what fraction of the original pie

svlad2 [7]

He ate 7/24 of the pie. There is 17/24 of pie left. Hope that helps! :)

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3 years ago

Write an expression to represent: four less than the quotient of a number x and 5

Serjik [45]

Answer:

x/5 -4

Step-by-step explanation:

Four less than is subtracting four.

The quotient of a number x and 5= x/5

8 0

3 years ago

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iragen [17]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

prohojiy [21]

Answer:

B . (fog)(-4) = - 61

Step-by-step explanation:

Here, given f(x) = 4 x + 7, g(x) = 3 x- 5

Now, by the COMPOSITE FUNCTION:

(f o g) (x) = f (g(x))

Now here: )f o g) ( -4) = f (g(-4))

Simplifying for g(x) = 3 x - 5

g(-4) = 3 (-4) - 5 = -12 - 5 = -17

or, g (-4) = -17

Now, for f(x) = 4 x + 7

f ( g(-4)) = f ( -17) = 4 (-17) + 7

= - 68 + 7 = - 61

or, f ( g(-4)) = - 61

Hence, (fog)(-4) = - 61

3 0

4 years ago