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2 years ago

Enter an equation in point-slope form for the line.

Mathematics

1 answer:

MissTica2 years ago

6 0

Answer:

$y+1=4(x+2)$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope and (x₁,y₁) is the given point

$y-y_1=m(x-x_1)$

Plug in the slope and the point

$y-(-1)=4(x-(-2))\\y+1=4(x+2)$

I hope this helps!

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Which property was used to solve the given inequality?

Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

Solution:

Given inequality is:

$y + 8 < - 8$

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

$y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y$

Thus, Subtraction Property of Inequality is used

4 0

2 years ago

Margaret went to the convenience store and purchased 4 cans of cola for 2.76. how many cans could she have purchased at the same

liq [111]

The answer would be 19 cans

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2 years ago

A bag contains 56 marbles ,some red ,some yellow ,some blue,there are half as many red as blue and eight more yellow than red .h

Delicious77 [7]

Let red marbles be x.

Blue : 2x
Red : x
Yellow : x+8

2x + x + x + 8 = 56
4x = 48
x = 12

Red marbles: 12
Blue : 24
Yellow: 20

7 0

3 years ago

g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G

patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

$\mathbf{P(positive) = P(positive \ | \ DIPG) \times P(DIPG) + P(positive \ | \ not \DIPG)\times P(not \ DIPG)}$ $= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})$

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

$P(not \ DIPG \ | \ positive) = \dfrac{ P(positive \ | \ not DIPG)\timesP(not \ DIPG)} { P(positive)}$

$=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}$

$=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}$

= 0.9586

8 0

2 years ago

What is the domain of the function y=2 x-5? O x>-5 O x>2 O x>5 O x>10

antiseptic1488 [7]

That’s a good one Because what is the domain of the function Y equals 2X

3 0

3 years ago