What is the range of y = x2 – 1, given a domain of {-2,-1,0, 1, 2}?
A. R:{-5, -2, -1,0.3)
B. R: -1 O
C. R:y > -1
OD. R:{-1,0,3}

Change in level is given by :

C = increase in level - decrease in level.

Now,

Decrease in level in March is 2 1/4 = 9/4 inches.

Increase in level in April is 1 5/8 = 13/8 inches.

Putting value of these in above equation, we get :

C = 13/8 - 9/4

C = 13/8 - 18/8

C = -5/8 inches

Therefore, the overall level after April will decrease by 5/8 inches.

Hence, option 4. is correct.

Answer:

b = 3 in

Step-by-step explanation:

The area (A) of a rectangle is

A = lb ( l is the length and b the breadth )

Here A = 24, l = 4 and breadth = b + 3 , thus

4(b + 3) = 24 ( divide both sides by 4 )

b + 3 = 6 ( subtract 3 from both sides )

b = 3

Thus the width of the message is 3 in

Answer:

B) XMA; C) MAX; and D) AXM

Step-by-step explanation:

A triangle is named based on its vertices.  The vertices of this angle are A, M and X; this means any combination of these three letters can be used to name the triangle.

Answer:

false, true, true

Step-by-step explanation:

hope this is gonna help u :D

Answer:

false true, true

Step-by-step explanation:

so 1 is false 2 is true  3 is true

i think

Line 2 is correct because of the distribution rule. You multiply each outer term by the inner terms in the parenthesis.

2x(4x+8) = 2x*4x + 2x*8 = 8x^2+16x

-3*(4x+8) = -3*4x-3*8 = -12x-24

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Line 3 is correct as well. The 16x and -12x combine to 4x. You can think of it like 16-12 = 4, then just tack x's onto everything getting 16x-12x = 4x

Or you can think of it like "16 boxes - 12 boxes = 4 boxes" and you replace "boxes" with "x" for shorthand.

The other terms aren't like terms so we just leave them as is.

Answer:2 students from each of the 15 classes because we don’t know the exact amount

C for the lazy readers

Step-by-step explanation:

just finished taking the test

The most appropriate random sample is 2 students from each of the 15 classes.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

Given, Lorrie wants to determine the average amount of time that students at her school spend on the computer each day.

There are 350 students in 15 classes.

After going through the options we can conclude that the most appropriate random sample is 2 students from each of the 15 classes.

learn more about random samples here :

https://brainly.com/question/12719656

#SPJ6

Answer:

31.5 days

Step-by-step explanation:

We.solve using z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

The 5th percentile z score = -1.645

Mean = 66

Standard deviation = 21

Hence:

-1.645 = x - 66/21

-1.645 × 21 = x - 66

-34.545 = x - 66

-34.545 + 66 = x

x = 31.455 days

Approximately to the nearest round integer

= 31.5 days

Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users

Answer:  1/3

Step-by-step explanation:

When adding or subtracting fractions, they must have the same denominator.

[tex]\dfrac{5}{9}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{5}{9}\bigg(\dfrac{6}{6}\bigg)-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{18}{54}}=\dfrac{12}{54}\\\\\\\text{Simplify}\quad \dfrac{18}{54}\div \dfrac{18}{18}\quad =\large\boxed{\dfrac{1}{3}}[/tex]

Answer:

It took 13 days and a half to escape

Step-by-step explanation:

This is a classic problem where the first answer that comes to one's mind is not the correct answer.

The ant climbs up 8 cm per day and slips down 4 cm every night. It means the real distance the ant goes up is 8 - 4 = 4 cm per day. Since the total distance is 60 cm, it could lead us to think the time needed to escape from the bottle is 60/4=15 days. This is wrong, as we'll prove below.

Assume the last day, the ant climbs up the final 8 cm and escapes. We don't know yet when, but we can assure that day the ant was at a height of 60 - 8 = 52 cm.

That 52 cm was the result of the 4 cm per day the ant effectively went up, thus it needed 52/4=13 days to reach that height.

At 13 days, the ant was at 52 cm, the day 14 it climbed up the final 8 cm and escaped.

Answer: It took 13 days and a half to escape

That is a true statement

Step-by-step explanation:

true................

Answer:

false

Step-by-step explanation:

Answer:

[tex]false.[/tex]

Step-by-step explanation:

[tex]python \: programming \: language \: is \: powerful \\ \: scientific \: coding \: language \: for \: both \\ \:high \: level \: programs \: and \: also \: for \: learners\\ its \: very \: fast \: in \: scientific \: and \: mathematical \: calculation. \\ \: for \: me \: i \: think \: python..... if \: not \: the \: best....is \: very \: easy \: to \: learn \\ [/tex]

Answer: $8,250

Step-by-step explanation:

just did the quiz

Answer:

f(-2) = -6

Step-by-step explanation:

2(-2-3) + 4

2(-5) + 4

-10 + 4

-6

Answer:

e=p/w

Step-by-step explanation:

Take w and move it to the left by dividing both sides by w to get the answer

Answer:the second one

Step-by-step explanation:

just trust me i can't explain it on a pc

Answer:

3

Step-by-step explanation:

The equation [ y = 3x - 4 ] is written in slope-intercept form [ y = mx + b ].

m = slope

b = y-intercept

The variable "m" in the given equation is 3, thus makes it the slope.

Best of Luck!

Answer:

105

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

x-6=99

x=105

Answer:

sum of two function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: [tex]-5\sqrt{3}-5i[/tex]

Step-by-step explanation: It was right on Khan

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

Answer: 20 units

Step-by-step explanation:

Answer:

20 units

distance formula is (x-x2)^2 + (y-y2)^2 all under a square root.

Answer: 15/7

Step-by-step explanation: Simplify 6/2 to 3

8x-3=x+12

Add 3 to both sides

8x=x+15

Subtract x from both sides

7x=15

Divide both sides by 7

x=15/7

Answer:

x = 2.14

Step-by-step explanation:

8x - 3 = x + 12 (6/2 = 3)

7x - 3 = 12 (subtracted 1x from both sides)

7x = 15 (added 3 to both sides)

x = 2.14 (divided 15 by 7)

Hope this helps :)

Answer:

Step-by-step explanation:

So you think that x = -5 is the solution for the inequality? Let's check it out.

(Check)

- Substitute x = -5 in the inequality

[tex]-6<3(-5)+9<21\\-6<-15+9<21\\-6<-6<21[/tex]

If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.

Now let's solve the inequality. Separate the inequality by parts.

[tex]\left \{ {{-6<3x+9} \atop {3x+9<21}} \right. \\\left \{ {{-6-9<3x} \atop {3x<21-9}} \right. \\\left \{ {{-15<3x} \atop {3x<12}} \right. \\\left \{ {{x>-5} \atop {x<4}} \right.[/tex]

Therefore, the inequality is true only when x > -5 or x < 4.

(Check)

- Substitute x = -4 in the inequality.

[tex]-6<3(-4)+9<21\\-6<-12+9<21\\-6<-3<21[/tex]

The inequality is true for first case.

- Substitute x = 3 in the inequality

[tex]-6<3(3)+9<21\\-6<9+9<21\\-6<18<21[/tex]

The inequality is true for second case.

So the answer for inequality is -5 < x < 4

That means only {-4, -3, -2, ..., 3} can make the inequality true.

Answer:

A

Step-by-step explanation:

plug in all variable values

4(-2) - 3(4) + (-5)

negative × positive = negative

positive × negative = negative

-8 - 12 - 5

-20 - 5

-25

Answer:

Problem 1:  HI = 12.22

Problem 2:  AB = 16.23

Step-by-step explanation:

Problem 1:

tan = opposite / adjacent

HI = x

tan 42° = 11 / x

multiply both sides of the equation by x

x (tan 42°) = 11

divide both sides of the equation by tan 42°

x = 11 / tan 42°

tan 42° = 0.90 (given)

x = 11 / 0.90

x = 12.22

Problem 2:

cosine = adjacent / hypotenuse

cos 52° = 10 / c

multiply both sides by c

c (cos 52°) = 10

divide both sides by (cos 52°)

c = 10 / cos 52°

cos 52° = 0.616 (given)

c = 10 / 0.616

c = 16.23

Answer:

here, in this question given the value of X will be 1 and the value of y will be (-2)

but (-2) =5-3(1)

(-2)=/ 2

so (1,(-2)) is not the solution of the given equation

hope you like the answer.........

please mark the answer as brainliest

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