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3 years ago

Write the following inequality in slope intercept form -6x+3y>-45

Mathematics

1 answer:

QveST [7]3 years ago

6 0

Slope intercept form is y = mx + c.

(where m is the slope, and c is the intercept - hence slope intercept form)

So all you have to do is rearrange the inequality to have y by itself.

-6x + 3y > - 45 (add 6x to both sides)

3y > - 45 + 6x (divide both sides by 3)

y > - 15 + 2x (put the 2x infront of the - 15)

y > 2x - 15

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Answer:

y > 2x - 15

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I will mark you Brainliest just help me

Alika [10]

Answer:

The first one is proportional and the second one is not. Because for the first one you can see that if you divide the number of pens by the cost you'll get the same answer for every single one. But for the second one if you divide the number of minutes by words typed you get a different answer for each one. You can also see if it's proportional or not if you draw it on the graph and it's a straight line. If it is the relationship is proportional if it isn't it's not proportional. Hope that makes sense :)

7 0

3 years ago

Read 2 more answers

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

Range:

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

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3 years ago

A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.4 in. The survey also

Effectus [21]

Answer: 99.51%

Step-by-step explanation:

Given : A survey found that women's heights are normally distributed.

Population mean : $\mu =63.2 \text{ inches}$

Standard deviation: $\sigma= 2.4\text{ inches}$

Minimum height = 4ft. 9 in.= $4\times12+9\text{ in.}=57\text{ in.}$

Maximum height = 6ft. 2 in.= $6\times12+2\text{ in.}=74\text{ in.}$

Let x be the random variable that represent the women's height.

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x=57, we have

$z=\dfrac{57-63.2}{2.4}\approx-2.58$

For x=74, we have

$z=\dfrac{74-63.2}{2.4}\approx4.5$

Now, by using the standard normal distribution table, we have

The probability of women meeting the height requirement :-

$P(-2.58$

Hence, the percentage of women meeting the height requirement = 99.51%

8 0

3 years ago

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Sidana [21]

Step-by-step explanation:

Blank C :

Given total = 68

No. of TV news = 13

Therefore, in Internet it would be = Total - TV news

= 68 - 13 = 55 (ans)

Blank D :

No. of Internet news in 7th grade = 55

No. of Internet news in 8th grade = 64

Hence, total Internet base news = 64 + 55 = 119 (ans)

Blank B :

All total = 138

Internet news total = 119

Hence, TV news total = All total - Internet news

= 138 - 119 = 19 (ans)

Blank A :

No. of TV news in 7th grade = 13

Total news in TV = 19

Therefore, no. of TV news in 8th grade = 19 - 13 = 6(ans)

Blank E :

All total = 138

Total of 7th grade news = 68

Hence, total of 8th grade news = 138 - 68

= 70 (ans)

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3 years ago

Theo is building a garden against his house. He bought two pieces of wood that are each five feet long. He wants to create a tri

liubo4ka [24]

Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house

Since two sides are already of the same length, he can create an isosceles triangle.

An isosceles triangle has two equal sides and two equal angles.

Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.

An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.

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3 years ago