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3 years ago

Help me with my test

Mathematics

2 answers:

zavuch27 [327]3 years ago

5 0

Answer:

B. -8

Step-by-step explanation:

first find k: plug 3 and -2 into the function

$3=2(-2)^2-5(-2)+k\\3=2(4)+10+k\\3=18+k\\k=-15$

then plug -1 into $2x^2-5x-15$

$2(-1)^2-5(-1)-15\\= 2(1)+5-15\\=7-15\\=-8$

h(-1) = -8

geniusboy [140]3 years ago

4 0

$- 8.$

Step-by-step explanation:

$h(x) = 2 {x}^{2} - 5x + k$

If h(-2) = 3.

Then, h(-1) =

$h( - 1) = 2 {( - 1)}^{2} - 5( - 1) + k$

$h( - 1) = 2 + 5 + k$

$h( - 1) = 7 + k$

$- 1 - 7 = k$

$- 8 = k$

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Write the ratio of 4 teachers to 134 students in simplest form.?

Nuetrik [128]

It would be 4/134, and simplified that is 2/67.

So it would be 2 teachers to 67 students

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3 years ago

Read 2 more answers

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

4 years ago

In an enclosure, there are 8 yellow chicks and 6 black and white chicks. The door opens and two chicks escape. What is the proba

Burka [1]

Answer:4/13

Step-by-step explanation:

Number of yellow chicks = 8

Number of black and white chicks = 6

Total number of chicks = 8+6 = 14

The probability of the first yellow chick escaping will be 8 out of 14.

The probability of the second yellow chick escaping will be 7 out of 13 since there'll be 13 chicks left after the first yellow excaped.

Therefore, the probability that both chicks were yellow will be:

= 8/14 × 7/13

= 4/7 × 7/13

= 4/13

Therefore, the probability is 4/13.

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3 years ago

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faust18 [17]

Answer: 2a - 3b
You can try rearranging it , it’ll be easier I think :)
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= 3a - a + 6b - 9b
= 2a - 3b

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ElenaW [278]

Answer:

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Step-by-step explanation:

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3 years ago