The equation of the transformed function, y = ∛x+5 - 2
What is parent function?A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.
This graph represents a transformation of the parent cube root function.
Here, Parent cube root function is
y= ∛x
and the value of h and k is equal to 0
Now, as from the graph we can see that the graph changes direction at (-5,-2) which shows the graph is shifted 5 units to left and 2 unit down
Hence, the equation of the transformed function, y = ∛x+5 - 2
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What is an equation of the line that passes through the point (-4,-6)and is
paralel to the line 2x-y=6
Answer:
Step-by-step explanation:
2x - 7y = -6.
Ken used 1 3/8 cupe of walnuts and 1 3/4 cups of raid in to make trail mix did he make
Answer:
3 1/8
Step-by-step explanation:
Add the 1 3/8 cups of walnuts to the 1 3/4 cups of raisins. You will have to make your denominators the same to add the fraction.
1 3/8. 1 3/8
+1 3/4. 3 x 2 = 6. +1 6/8
_____ 4 x 2 = 8. ______
2 9/8 reduce 3 1/8
The following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 What proportion of the measurements lie in the interval LaTeX: \bar x \pm 2sx
Answer:
0.9
Step-by-step explanation:
Given that data:
x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27
Mean = Σx / n
Using calculator :
Mean (m) = 13.5
Standard deviation (s) = 6.433
Proportion that lies in mean ± 2s
Lower = Mean - 2s
13.5 - 2(6.433) = 0. 632
Upper = Mean + 2s
13.5 + 2(6.433) = 26.376
Mean ± 2(sd) = (0.632, 26.276)
The only digit from the data which falls outside the defined range = 27
Proportion within interval = 9 / n
Proportion which falls within range = 9/10 = 0.9
Suppose a normally distributed set of data with 4800 observations has a mean of 195 and a standard deviation of 12. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 231. Round your result to the nearest single observation.
Answer:
The number of observations in the data set expected to be below a value of 231 is of 4793.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 195
Standard deviation = 12
The normal distribution is symmetric, which means that 50% of the observations are above the mean and 50% are below.
Proportion of observations below 231:
231 = 195 + 3*12
So 231 is three standard deviations above the mean.
Of the 50% of observations below the mean, all are below 231.
Of the 50% of observations above the mean, 99.7% are between the mean of 195 and three standard deviations above the mean(231).
So, the proportion of observations below 231 is:
[tex]P = 0.5*1 + 0.5*0.997 = 0.9985[/tex]
Out of 4800:
0.9985*4800 = 4793
The number of observations in the data set expected to be below a value of 231 is of 4793.
how do you solve the problem 2247 divided by 7?
Answer:
321
Step-by-step explanation:
2247÷7=321
Answer:
321
Step-by-step explanation:
Shown in picture attached.
If Brenda has 10 math problems to solve and she can solve one math problem per minute how long will it take her to solve all 10 problems
help me pls just label answers
nevermind
Tim earns $31 after 2 hours, $46.5 after three hours,
and $62 after four hours. Write an equation that
represents the amount of money Tim makes.
Answer:
Equation: y = 15.5x
Step-by-step explanation:
Given that:
Time earns $31 for 2 hours
$46.5 for 3 hours
$62 for 4 hours
We will find unit rate first.
Unit rate = [tex]\frac{31}{2}[/tex] = $15.5 per hour
Now,
Let,
x be the number of hours
y be the total money earned by Tim
Total earning = Per hour rate * Number of hours
y = 15.5x
Hence,
Equation: y = 15.5x
I need help please it so confusing can somebody anyone break it down
Answer:
[tex]a=\sqrt{63}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in tho find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+9^2=12^2\\a^2+81=144\\a^2=63\\\sqrt{a^2}=\sqrt{63}[/tex]
So a would equal whatever the square root of 63 is.
Please help, I’m doing super bad In math and I need help
Answer:
It is A. Angle 7 and Angle 10
Module 2 Lesson 1
Review
Alicia sells 20 bags of chips for $5 If she continues to sell
chips, how much would she make after selling 100 bags?
Answer:
$25 is the answer
Step-by-step explanation:
100/20= 5
5×5=25
Answer:
the correct answer is 400
Step-by-step explanation:
first to figure out the amount for 1 bag u divide 20 and $5 and get 4
then multiple 4 by 100 to $400
20/5=4
4x100=400
hope this helps
Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U .
Answer:
h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)
Step-by-step explanation: plato/edmentum
The domain of h(x) is (-∞ , 3 ) ∪ (3,∞) .
What is domain?The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.
According to the question
f(x) = [tex]x^{2}[/tex] − 8x + 15
g(x) = x − 3
h(x) = f(x) ÷ g(x)
i.e,
h(x) = [tex]\frac{ x^{2} -8x + 15}{x-3}[/tex]
now,
x ≠ 3
[tex]h(x) = \frac{(x-5)(x-3)}{(x-3)}[/tex]
so,
Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)
Hence, The domain of h(x) is (-∞ , 3 ) ∪ (3,∞)
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What is the scientific notation of 0.000000000012
Answer:
1.2x10^-11
You never start with a zero so you move the decimal 11 spots the right which makes it negative
Allen weighs 44 kg. Miller weighs half as much as Allen, and James weighs 3 kg more than Miller.
What is their weight all together?
Answer:
91
Step-by-step explanation:
Explain the pattern that you notice when dividing by 10, 100, and 1,000
Answer:
when you divide by 100 it is .1 but when you divide by 1000 it is .01 so every time you divide you move the decimal up by one
I hope this helps:
Which equation represents the graph shown?
A.) y=x
—
35
B.) y=x-35
C.) y=x+35
D.) y=35x
Write each expression in exponential form.
10
9. Solve for x.
(9x + 1)
88
PLEASE HELP! will mark brainliest
Answer:
(9x+1)=10x
Step-by-step explanation:
456000 has been rounded to the nearest thousand. What is the smallest possible number this could have been
Answer:
457,000 is your answer to the question
Step-by-step explanation:
(-2x)^4 simplified??
Answer:
16x^4
Step-by-step explanation:
first compute -2 to the 4th power, then x to the 4th power
(-2)^4= positive 16 because of parentheses and the exponent(4) is even
(x)^4 is just x^4
so multiply 16 and x^4 together and you get 16x^4
Answer:
Step-by-step explanation:
here you go mate'
step 1
(-2x)^4 equation
step 2
(-2x)^4 put (-2x) in four places
(-2x)(-2x)(-2x)(-2x)
step 3
(-2x)(-2x)(-2x)(-2x) multiply
answer
16x^4
PLZ HELP DONT MESS AROUND I NEED THIS
One-third times the difference of a number and 5 is Negative two-thirds. Which equation best shows this?
One possible first step in solving the equation in the above problem is to
.
The value of the number is
.
Answer:
I did it
Step-by-step explanation:
The first one is 1/3(n-5)= -2/3
the second is distribute 1/3
and the third one is 3
Answer:
1:
1/3(n – 5) = -2/3
2:
Distribute 1/3
3:
3
Step-by-step explanation:
Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.
a.5.75 × 10 -11
b.2.938 × 10 6
c.1.738 × 10 10
d.1.738 × 10 6
Answer:
17.38*10^8
Step-by-step explanation:
Step one:
given data
The dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)
divisor is 0.013.
Step two:
Hence the quotient is the whole number gotten when the dividend is divided by the divisor
quotient= 2.26*10^8/0.013.
quotient= 17.38*10^8
What is the value of the
underlined digit?
56
Please help me with this question
9514 1404 393
Answer:
A∪B = (-7, -2)
Step-by-step explanation:
It can be helpful to draw a picture. It shows that set B is completely contained within set A, so the union of the two sets is simply set A.
A∪B = (-7, -2)
Using the formula A = 6s2, solve when s = 2?
Answer:
When s=2, A=24
Step-by-step explanation:
We are given the formula [tex]A = 6s^2[/tex]
We need to solve and find value of A , when s=2
So, putting value of s in the given formula we can find value of A
The formula given is:
[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]
So, by putting s= 2, We get A=24
there are 30 students in Ms. jones's class. if 10% of the students are left-handed, how many students are left-handed? explain
Answer:
3
Step-by-step explanation
So, you need to find 10% of 30
10/100 (fraction form of 10%) x 30
of = multiply
10/100 x 30 = 300/100 = 3
p2-q2=7 and p-q=2. Find the value of p + q.
Answer:
p + q = 13/4
Step-by-step explanation:
p² - q² = 7
p - q = 2
Use substitution.
p = 2 + q
(2 + q)² - q² = 7
Expand (2 + q)² with FOIL - first, outer, inner, last
(2 + q)(2 + q)
4 + 2q + 2q + q²
4 + 4q + q²
Subtract q².
4 + 4q + q² - q² = 7
4 + 4q = 7
Combine like-terms.
4q = 3
Divide by 4 to isolate q.
q = 3/4
Plug q into the equation to find p.
p - q = 2
p - (3/4) = 2
Add 3/4 to both sides.
p = 11/4
Add p and q.
11/4 + 3/4
= 13/4
Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?
Answer:
42.5
Step-by-step explanation:
calculatour
Marco bought a 64 ounce bag of popcorn.
He ate 5% of the bag with his lunch. How
much popcorn did he eat at lunch?
Answer:
3.2 ounces.
Step-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
Answer:
3.2
Step-by-step explanation:
Find 5% of 64
10% = 6.4 (64 divided by 10)
5% = 6.4÷2= 3.2
A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is
.
The y-intercept is
and the slope of the line is
.
Line
is the graph of the line –3y = 15 – 4x.
Answer:
Step-by-step explanation:
Line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
What is a Line??
A line can be defined by the shortest distance between two points is called as a line.
Given the expression of the line,
–3y = 15 – 4x
Now by putting every given point of the lines given with their passing points in –3y = 15 – 4x , it is found that point (3.75, 0) and (0, -5) lies on the line.
Hence, the expression –3y = 15 – 4x represents line B.
Now, the slope and y-intercept of the equation.
Rearrange the equation into standard form,
y = 4/3 x - 5
Now compare the above equation with the standard form line
y = mx +c
m = 4/3 and c = -5
Thus, line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.
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