Answer:
f(x)=(x+3)^3, horizontal translation/shift of 3 units to the left.
Step-by-step explanation:
f(x)=x^3 is your given function. f(x+3) is a horizontal shift of 3 units to the left because the "+3" is inside the parentheses and it's a shift to the left instead of the right because x needs to equal -3 for the quantity to equal 0. Overall, the graph shifts 3 units to the left.
=
O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
Х
length: 0
width: Ich
?
cm
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues to use the same rate to make more batches of soup. How many pounds of barley should the cook mix with 35 quarts of broth?
Answer: The answer to this question is 10 :D
Step-by-step explanation:
The answer is 10 pounds.
2 pounds 7 quarts
4 14
6 21
8 28
10 35
Solve for x
A) 8
B) 10
C) -11
D) 5
What is the least common denominator of 1/6 and 5/12
Answer:
The least common denominator is 12.
Step-by-step explanation:
1/6 and 5/12.
Skip count by 6and 12.
6: 6,12,18,24,30.....
12: 12,24, 36,48...
12, appeared first, so 12 is the least common denominator.
hope it helps.
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?
Please help will mark brainliest.
Answer:
solution given.:
radius[r] =r
height[h]=1in
volume[V] of cylinder=196πin³
we have
volume[V] of cylinder=πr²h
196π=πr×1
r²=[tex] \frac{196π}{π}[/tex]
r=[tex] \sqrt{196} [/tex]
r=14in
so radius is 14in
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer:
3r1
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.
Help me please I can’t figure it out!
Answer:
vv
Step-by-step explanation:
10.1(3) + 9.5(4) = 30.3 + 38.0
= 68.3
You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
Answer:
D. 75
Step-by-step explanation:
The cost to buy all of the crown molding for the bedroom would be $75.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.
Hence, cost to buy all of the crown molding for the bedroom = $75.
More can be learned about proportions at;
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What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?
Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D
Step-by-step explanation:
Answer:
the answer is h=7
Step-by-step explanation:
Please help, test due in 2 hours! Will give good review and brainliest. :)
Help me on this question please!
Which conic section is shown in the image?
A.
circle
B.
ellipse
C.
parabola
D.
hyperbola
Answer:
D. Hyperbola
Step-by-step explanation:
symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
In the given figure conic section is given.
What is conic section?A figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
The given figure an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
To learn more about conic section visit:
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If 5 children share 1/3 pound of candy equally, how much candy will each child get?
Answer:
Each child will receive [tex]\frac{1}{15}[/tex] of a pound
Step-by-step explanation:
[tex]\frac{1}{5*3}[/tex]
How is the graph of the parent function y= hurrrr!!!x2 transformed to produce the graph of y= 3(x+1)2? It is translated 1 unit right and compressed vertically by a factor of 3. © It is translated 1 unit left and compressed vertically by a factor of 3. Olt is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
3.
Step-by-step explanation:
The graph is being moved to the left and then stretched by a factor of three. If it were to be compressed than the 3 would be 1/3.
The graph of the parent function is translated to 1 unit left and compressed vertically by a factor of 3.
Option B is the correct answer.
What is translation?It is the movement of the shape in left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The graph of the parent function y = x² can be transformed to produce the graph of y = 3(x + 1)² by translating it 1 unit to the left and stretching it vertically by a factor of 3.
Here's why:
The (x + 1) part inside the square means that the graph is shifted 1 unit to the left.
The exponent of 2 means that the graph is squared, just like the parent function.
The coefficient of 3 in front of the square means that the graph is stretched vertically by a factor of 3.
Therefore,
It is translated 1 unit left and compressed vertically by a factor of 3.
Learn more about translation here:
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Consider a population of people who suffer occasionally from migraine headache. Suppose 62% of those people get some relief from taking ibuprofen (true proportion). To investigate the effectiveness of ibuprofen, a random sample of 100 people is obtained at random from this population. A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
62% of those people get some relief from taking ibuprofen (true proportion).
This means that [tex]p = 0.62[/tex]
Sample of 100
This means that [tex]n = 100[/tex]
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean [tex]\mu = p = 0.62[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]
f the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
1. Josh is reading a book that contains 100 pages. If he reads 1/3 of the book in 1/6 of an hour, how many pages per hour does Josh read?
100/3=33.33.... 1/6= 10 mins 33.33....*6= 199.98
hope this helped you out!!
Estimate the perimeter and the area of the shaded figure
Show how u got it please.
Answer:
8(1 +√2)
Step-by-step explanation:
The perimeter is the sum of the sides of the figure
Taking 1 square box as 1 unit
Get the slant side using the pythagoras theorem;
l² = 2² + 2²
l² = 4 + 4
l² = 8
l =√8
Perimeter = 4(√8) + 4 + 4
Perimeter = 8 + 4√8
Perimeter = 8 + 4*2√2
Perimeter = 8 + 8√2
Perimeter = 8(1 +√2)
hence the perimeter of the shape is 8(1 +√2)
Write a quadratic function f whose only zeros are -3 and -12
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x + 12)
f(x) = x^2 + 3x + 12x + 36
f(x) = x^2 + 15x + 36
In the diagram below what is the measure of X round to the nearest whole number if necessary round your answer to the nearest 10th of a unit
Answer:
C. 12
Step-by-step explanation:
Find x by applying the leg rule.
The leg rule is given as:
Hypotenuse/leg = leg/part
Hypotenuse = 24
Leg = 17
Part = x
Plug in the value into the equation:
24/17 = 17/x
Cross multiply
24*x = 17*17
24x = 289
x = 289/24
x = 12.0416667 ≈ 12 (nearest tenth)
Joseph and Ryan have 84 cards to sign. Joseph sins 1/4 of the cards. While Ryan signs 3/7. How many cards are left to be signed?
SIDE NOTE: PLEASE BE FAST!!
Answer:
27 cards left to be signed
Answer:
27 cards
Step-by-step explanation:
first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.
Sara has 3 choices to get to school: walk, ride a bike, or ride the bus.
She has the same choices to get home after school. If Sara randomly
chooses how she is getting to school and home, what is the probability
that she will walk to school and then ride the bus home?
Answer:
I think the answer is 1/9
Step-by-step explanation:
I did the equations by using a tree diagram to explain it but
Help!!!
Ellie and three of her friends each bought two hamburgers and a drink at the soccer game. If the drink cost $1.25 and the total cost for all four girls was $18.20, what was the cost of a hamburger?
Plss help me ASAP pls ASAP thank you
I need help with this
Answer:
sience -2 is to the left of 2
_
. 3
Which equation matches the table?
Answer:
Wait that makes no since but i would say 4 input and 28 input
Step-by-step explanation:
Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?
Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.
Answer:
O
Step-by-step explanation:
what is the mode for the following numbers 67 76 67 76 67 23 32 23 32
Answer:
67.
Step-by-step explanation:
67 appeared three times while everything else appeared only twice.
I need help plz it is just the help with the one that say write each one as a decimal
Answer:
1) 0.4552) 0.1253) 2.333Step-by-step explanation:
The explain in the photos above
I hope that is useful for you :)