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
HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT
Solve for x.
14(x−12)=−235
Enter your answer as a mixed number in simplest form by filling in the boxes.
x =
Answers
Answer:
Hell your answer for x is 4 11/14 ( that is what i got)
Step-by-step explanation: K12
What goes up as soon as the rain comes down?
Answers
Answer:
Umbrella goes up when rain comes down.
50 ptssss
what is 2+2
Answers
Answer:
4!!!
Step-by-step explanation:
brainliest please?
Answer:
4
Step-by-step explanation:
I hope this helps!
Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2
Answers
Answer:
2nd option
Step-by-step explanation:
A difference of squares has the general form
a² - b²
where the terms on either side of the subtraction ( the difference ) are both perfect squares.
The only one fitting this description is
16a² - 4y²
= (4a)² - (2y)² ← difference of squares
WILL GIVE BRAINLIEST! Consider the graph at right and answer the following questions.
Answers
Answer:
a.)A and B are the intersection between the two curves. The x coordinate is the equation
[tex]f(x) = g(x)[/tex]
Let's solve it
[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]
We can see that if we substitute x= 0 or x= 4 the equation is verified.
b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.
c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]
At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.
[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.
[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]
Which seems close enough from the photo.
c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]
Which equation can be solved to find x, the measure of BD in the diagram
below?
C
53
AB
D
E
2330
O A. *- 53 = 233
B. }(233 + x) = 53
C. (233 - x) = 53
D. x+ 53 = 233
=
Answers
The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
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Answer:
Step-by-step explanation:
just took the quiz
Sam has $10 to buy balloons at The Village Gift Shop. He wi He will buy at least one of each size of balloon. • He will buy as many balloons as he can. • He will spend as close to $10 as he carrwithout going over Using his rules, how many small balloons and large balloons answer. *PLEASEE HELP*
Answers
Answer:
How much is each size balloon-?
Step-by-step explanation:
This is impossible to solve-???
For which values of x does each expression make sense? √(-2x)^2
Answers
We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0
We know that the argument of a square root can only be a real number equal to or larger than zero.
In this case, we have the expression:
[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]
One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.
The first thing we need to do is to make the argument equal or larger than zero:
-2x ≥ 0
x ≤ 0/-2
x ≤ 0
So the given expression only makes sense for x ≤ 0
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Answer: No, the answer is All Real Numbers
Step-by-step explanation: e
Find the slope from points (9,-13), (7,-11)?
That’s what my question is
Answers
Answer:
Step-by-step explanation:
The entered points belong to an increasing, linear function.
Equation: y = 1x + 4.
If x= 4, find 6x- x^2.
Answers
Answer: 8
Step-by-step explanation: (6)(4)-4^2 24−4^2 24−16 8
Determine if the table represents a linear function, quadratic function, or exponential function.
Answers
Answer:
Quadratic
Step-by-step explanation:
Formula: ax^2+bx+c
look at the image, i need help with b mostly and please also answer a so i can check my answer
Answers
Answer:
a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.
b) see attachment
2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer
Answers
Answer:
parallel
Step-by-step explanation:
Answer:intersect
Step-by-step explanation:
For what value of k does the equation 6(x+1)+2 = 3(k/5x + 1) +3 have no solution
Answers
This one is an interesting question.
Lets solve first the equation by isolation of the unknown x:
6x + 6 +2 = (3k / 5x )+3 +3
6x = (3k/5x) + 6 -6-2
6x = (3k/5x) -2
6x = (3k / 5x) - (10x / 5x)
6x = (3k-10x)/5x
6x*5x = 3k - 10x
30x² = 3k - 10x
30x² + 10x = 3k
30x² + 10x - 3k = 0
This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.
But delta = b² - 4ac where b = 10, a = 30 and c = -3k
So we need to solve delta < 0
100 - 4*30* (-3k) < 0
100 - 120*(-3)*k < 0
100 - (-360)k < 0
100 + 360k < 0
360k < -100
k < -100/360= -10/36
So there is no solution for all k strictly less than -10/36
Good luck
A binomial experiment has 4 trials in which p=0. 35. What is the probability of 1 success?.
Answers
Answer: 5798
Step-by-step explanation:
Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."
Formula used
For binomial experiment
Probability = [tex]^n C_r p^{r} q^{n-r}[/tex]
[tex]p =[/tex]success rate
[tex]q=[/tex] failure rate
[tex]p+q=1[/tex]
[tex]n=[/tex]Number of trials
[tex]r=[/tex] number of success
According to the question,
Total number of trials [tex]'n' =4[/tex]
Number of success [tex]'r' =1[/tex]
[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]
Substitute the value to get the required probability,
Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]
[tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]
≈ [tex]0.4[/tex]
Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
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5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Answers
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
What is the easy way to do fractions to decimals.
Answers
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
Hello please help with this question.
Answers
Answer:
77.32°Step-by-step explanation:
Use sine to find the measure of ∠A:
sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°4800 persons run a marathon, 1200 reach the finish line. What is the percent of people reach the finish line at the marathon?
Answers
Answer: 25%
Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio
1200:4800
then make that into a fraction, 1200/4800
then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.
for example. p/100 (p, represents the percent)
then cross multiply.
1200x100=1200000
Last divide 1200000 by 4800 to get 25%.
3. After a study was completed at a local college, it was found that 386 in 1,112 students live
with their parents. What percent of the students lives with their parents? Round to the nearest
hundredth of a percent where necessary.
O 3.44%
O 34.71%
49.36%
065.28%
Answers
Answer:
34.71%
Step-by-step explanation:
1112-100 percent
386-x percent
x=386*100/1112≈34.71
The percentage of students living with their parents is 34.44%. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.
The percentage of the students who live with their parents will be calculated as,
Percentage = ( 386 / 1120 ) x 100
Percentage = 0.3471 x 100
Percentage = 34.71%
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Three of six people are to be selected and given sinall prizes. One will be
given a book, one will be given a cal cul ator, and one will be given an iTunes
card. In how many different ways can these prizes be awarded?
Answers
Answer:
The three prizes can be awarded in 6 different ways
Step-by-step explanation:
1. P1 - Book; P2 - Calc; P3 - Card
2. P1 - Book; P2 - Card; P3 - Calc
3. P1 - Calc; P2 - Card; P3 - Book
4. P1 - Calc; P2 - Book; P3 - Card
5. P1 - Card; P2 - Book; P3 - Calc
6. P1 - Card; P2 - Calc; P3 - Book
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
Answers
What trig function and angle is equivalent to sin(270°)?
Answers
Answer:
θradians sin(θ)
3π/2 -1
Step-by-step explanation:
leave a thanks if helped pls <3
The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,
sin(270°) = sin(3π/2) = -1
Also, if the trigonometric function is needed to be changed then we can write,
sin(3π/2) = cos(π) = cos(180°) = -1
Hence, the trigonometric function and angle are equivalent to sin(270°).
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It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest
How much interest would pay each year?
Find the total amount of interest paid
How many years does it take to repay the loan?
Answers
Answer:
$1,353 a year $16,256 total paid 12 years
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Pleas be sure to answer BOTH PARTS ... thank you!
Answers
Answer:
p = 32.317
A = 47.911
Step-by-step explanation:
given ∠A = 60
∠C = 45
AB = 9
From sum of all angles in triangle is 180
∠A + ∠B + ∠C = 180
60 + ∠B + 45 = 180
∠B = 180 - 105 = 75
∠B = 75
from sine rule in ΔABC
AB / sin C = BC / sin A
=> 9 / sin 45 = BC / sin 60
=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]
=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]
BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]
BC = 11.023
length of AC is
AC / sin B = AB / sin C
AC / sin 75 = 9 / sin 45
AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]
= [tex]9\sqrt{2} * sin 75\\12.294[/tex]
perimeter of ΔABC
AB + BC + CA
= 9 + 11.023 + 12.294
= 32.317
Area of ΔABC is
= 1/2 * AB * AC * sin A
= 1/2 * 9 * 12.294 * sin 60
= 1/2 * 9 * 12.294 * √3/2
= 47.911
Find the perimeter. Simplify your answer.
Answers
Answer:
Step-by-step explanation:
p = 10x + 2 + 7x - 6 + 8x
p = 25x - 4
Answer:
To Find the perimeter we add all the sides,perimeter = 10x + 2 + 7x - 6 + 8x
= 25x - 4...ans
Step-by-step explanation:
Hope it Helps you!!What is the product?
Enter your answer as a fraction, in simplified form, in the box.
3/8*(-36)
Answers
Answer:
-27/2
Step-by-step explanation:
3/8 × -36
(3×-36)/8
-108/8
-27/2
What is the distance between −93 and 114 on a number line?
Answers
Answer:
207
Step-by-step explanation:
By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.
When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.
Answer: what ever u said on the answer to one of my questions got deleted lol
Step-by-step explanation:
Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answers
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
I got 8 green crayons for the a part just confused for the b part
Answers
Answer:
Just apply the same method to part B
x:24
5:8
x3 x3
15:24
Answer:
8
7
Step-by-step explanation:
24 purple
green : purple = 1 : 3
g / p = 1/3
g / 24 = 1/3
g = 24/3
g = 8
now abbi put x green crayons into box
now green : purple = 5 : 8
(8 + x) / 24 = 5/8
8 + x = 5/8 * 24
8 + x = 5 * 3
8 + x = 15
x = 15 - 8
x = 7