Answers
Answer:
You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]
Step-by-step explanation:
The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.
So we're going to try with some simply values for evaluate
[tex]\sqrt[3]{-8} = -2[/tex]
[tex]\sqrt[3]-1} = -1[/tex]
[tex]\sqrt[3]{0} = 0[/tex]
[tex]\sqrt[3]{1} = 1[/tex]
[tex]\sqrt[3]{8} = 2[/tex]
How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function is increasing it's outputs.
Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:
When you have a negative value in the [tex]x[/tex] like in this occasion ([tex]\sqrt[3]{-x}[/tex]) the function reflex it's values with respect to the y axis (image put the functions in a mirror a draw the given image in the same cartesian plane).And you have a -3 this is move each value of the function 3 units down.So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.
[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]
[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]
So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]
Related Questions
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answers
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answers
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
Given that I = PTR/ 100 , make T the subject of the formula.
Answers
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
Whats the value of 6 in 1.267
Answers
Answer:
hundredths place
Step-by-step explanation:
18 ounces. of iced tea costs 2.99. How much will 30 ounces. cost
Answers
Answer:
About $4.98
Step-by-step explanation:
The cost of 30 ounces of iced tea will be $4.98.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,
⇒ $2.99 / 18
⇒ $0.166 per ounce
Then the cost of 30 will be calculated as,
⇒ $0.166 x 30
⇒ $4.98
The cost of 30 ounces of iced tea will be $4.98.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answers
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answers
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
Please help me with this homework
Answers
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
Sketch the graph of each line by identifying the x-and y-intercepts.
Answers
And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answers
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.
Answers
Answer:
D ($28)
Step-by-step explanation:
-12 + -9 + -7 = -28
HELP AWARDING BRAINLIEST
Answers
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
The marked price of a woolen sweater is Rs 1750
. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
Answers
The marked price of a woolen sweater is Rs 1,750. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
The marked price of a calculator is Rs 1,800. The shopkeeper allows 10 %
b)
17
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answers
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
i will mark brainliest!!!!!!
Answers
Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answers
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
38
21
21
X
What is the value of X
Answers
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Answers
Answer:
slope= -¾
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Step-by-step explanation:
3x +4y= 9
Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.
Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.
4y= -3x +9
For the coefficient of y to be 1, divide both sides of the equation by 4.
[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]
[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]
[tex]slope = - \frac{3}{4} [/tex]
[tex]y - intercept = 2 \frac{1}{4} [/tex]
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answers
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
What is the square of the sum of five and a number diminished by 6?
Answers
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1216+5( 8+1/5) Please i need it asap ty!
Answers
216+41
257
Please brainlyest
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answers
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
what is the answer???????
Answers
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
what is 4x(1+8x) Distributed
Answers
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
Please 10 points for one question
Please don’t answer if you don’t know
Answers
Answer:
answer is 60° hope it will help you
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answers
Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
How do I factor . X2 { squared } -9x+28?
Answers
dont know the answer pls help :(
Answers
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Please help this is my last points
Answer with explanation please
Please I need it now
Answers
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?
a)12 . b)11 . c)9 . d)8.
If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.
Answers
Answer:
c
Step-by-step explanation:
10^2 - 9^2 = 100 - 81 = 19
Not gonna answer it tho someone already did
