[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.
[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].
Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.
The final equation will be [tex]f(x)=7|x+2|-6[/tex] where:
a = 7
h = 2
k = 6
Answer:
7(x + 2) - 6
Step-by-step explanation:
a(x - h) + k
the h shift it right or left where a negative number is right and the positive is left
- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2
k shifts it up or down
The radar beam sent out by an aeroplane reaches a distance of 120 kilometres and covers an angle of 150 degrees calculate the area covered by the beam
I WILL GIVE BRAINLIEST
What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.
Answer:
Step-by-step explanation:
What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same
Answer:
A'(-2, 5)
B'(-6, 3)
Step-by-step explanation:
When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis
__
A(2, 5) ⇒ A'(-2, 5)
B(6, 3) ⇒ B'(-6, 3)
Julie earns $14 per hour at her job. Last week she earned $336. Which equation can be used to determine the number of hours, h, that Julie worked last week.
In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?
When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7
Data obtained from the question 30x² – 35x + 54x – 63Common factor =.?How to determine the common factor
30x² – 35x + 54x – 63
Group the first two and the last two terms
(30x² – 35x) + (54x – 63)
Factorise
5x(6x – 7) + 9(6x – 7)
Common factor => 6x – 7
Therefore, we can conclude that the common binomial factor in the expression is 6x – 7
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Rectangle ABCD is rotated by 90 degrees clockwise about the origin and
then translated 3 units left and 2 units down to form A'B'C'D'.
What is the length in units of line segment A’B’ in the resulting figure
The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
Translation of shapes in the Cartesian planeForm the task content;
It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
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Find the area of the trapezoid.
9 cm
9 cm
5 cm
Answer:
480
Step-by-step explanation:
9x9= 81x5= 480
Your puppy dug up two-thirds of the flowers in the flower bed that contained 18 flowers. How many flowers were dug up?
Answer:
12 :)
Step-by-step explanation:
18/3 = 6
Now we multiply :)
6 x 2 = 12
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Final Amount 10,400
Initial investment ?
Interest Rate 2%
Time (Years) 4
How do i find the initial investment
Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
help please and explain too if you can
Answer:
x = 10
y = 17.321
Step-by-step explanation:
feel free to ask questions !!
I have also attached the trig rules I was using just in case you wanted a general idea
What number has the factors 1, 2, 3, 4, 6, 8, 12, 24?
Johnson can tile a 100 square foot floor in 7 hours. Nathan can tile the same area in 9 hours. Enter an equation that can be used to find the time in hours,t it would take Johnson and Nathan to tile a 100 square foot area together.
The equation that can be used to find the time t, in hours, it would take Johnson and Nathan to tile a 100 square foot area together is 3.9375 hours, which approximates to 4 hours.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,(assume all men have same strength)
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
For this case, we're specified that:
Work in consideration = Tiling 100 sq. foot floorTime it takes by Johnson to do this work = 7 hoursTime it takes by Nathan to do this work = 9 hoursSo, we see that strength of Johnson and Nathan are different.
Let the general manpower (from some frame of a general public or any third frame) needed by this work be M.
Then, Johnson delivers M manpower in 7 hours or M/7 manpower in one hour.
In the similar way, Nathan delivers M/9 manpower per hour.
Thus, if Nathan and Johnson work together, they can deliver: [tex]\dfrac{M}{9} + \dfrac{M}{7} = M\dfrac{9+7}{63} = \dfrac{16M}{63}[/tex] manpower per hour.
Let it takes them together h hours to complete the work.
That means, in 'h' hours, their together work power will accumulate to M manpower.
Or, we can say:
[tex]h \times \dfrac{16M}{63} = M\\\\h = \dfrac{63M}{16M} = \dfrac{63}{16} = 3.9375[/tex]
Thus, the equation that can be used to find the time t, in hours, it would take Johnson and Nathan to tile a 100 square foot area together is 3.9375 hours, which approximates to 4 hours.
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Was I supposed to put a greater number than 10 on top of the 4? What am I supposed to do and why?
Answer:
So looking at the expression that was given to us, we know that we must solve for g. In order to solve for g we need to make sure that g is alone on one side of the expression. In this example, we need to multiply both sides by 4 to get rid of the fraction on the left and in effect we would multiply 12 by 4 also.
[tex]\frac{g}{4} > 12[/tex]
[tex]\frac{g}{4}*4 > 12*4[/tex]
[tex]g > 48[/tex]
Therefore, our final answer is [tex]g > 48[/tex]
Hope this helps! Let me know if you have any questions
Answer:
g > 48
Step-by-step explanation:
g/4 > 12
g > 12*4
g > 48
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
slope for y=2x+3 and y intercept
Answer:
slope = 2, y-intercept = 3
Step-by-step explanation:
» Concepts
All straight lines can follow the slope-intercept form, y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. The slope is the constant rate of change, and the y-intercept is where the line intersects at the y-axis.
» Application
We are asked to find the slope and y-intercept of the equation, y = 2x +3, given the form y = mx + b. As you can see, in the place of m (the slope), there is the number 2, making the slope 2. Then, in the place of b (the y-intercept), there is the number 3, making the y-intercept 3.
There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place. In how many different ways can the medals be awarded?
a.330
b.990
c.110
d.165
Then the number of the ways that the medals can be awarded will be 165. Then the correct option is D.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are 11 runners in a race. Medals are awarded for 1st, 2nd, and 3rd place.
Then the number of the ways that the medals can be awarded.
[tex]\rightarrow ^{11}C_3\\\\\\\rightarrow \dfrac{11!}{(11-3)! 3!}\\\\\\\rightarrow \dfrac{11 \times 10 \times 9 \times 8!}{8! \times 3 \times 2 }\\\\\\\rightarrow \dfrac{11 \times 10 \times 9}{3 \times 2}\\\\\\\rightarrow 11 \times 5 \times 3\\\\\\\rightarrow 165[/tex]
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Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….
The sequence 4, 20, 36, 52, Required 6th term is 84.
What is sequence?A sequence is an enumerated group of objects in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of elements (possibly infinite). In contrast to a set, the same elements can appear more than once in a sequence at various positions, and unlike a set, the order is important. The formal definition of a sequence is a function from natural numbers to the elements in each position. An indexed family, which is a function from any index set, can be thought of as a generalisation of the idea of a sequence.
For instance, the letters (M, A, R, Y) are arranged with M coming first and Y coming last.
Given, sequence is an arithematic sequence with common difference 16 and first term 4.
So,
6th term = first term + 5 * common difference
= 4 + 5 * 16
= 84
Hence, the required 6th term is 84.
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Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
- Bag 1 ?
-Bag 2 ?
-Bag 3 ?
Step-by-step explanation:
all bags are mislabeled. that means, whatever is written on either of the 3 bags, is wrong.
so, the bag labeled "green" is NOT the one with 2 green apples. the one labeled "red" is NOT the one with 2 red apples.
and - my favorite - the one labeled "red/green" is NOT the one with the mixture.
so, we pick one apple from the bag that is currently (mis-)labeled as "red/green".
as it cannot be the mixed bag, it must be one of the pure color bags.
whatever color shows up, we know this is the bag with 2 apples of that color.
then the bag that was labeled with that color must be the other pure color (if it were the mixed bag, it would mean that the third bag was labeled correctly, which is not the case). and then the third bag is the mixed one.
for example :
we get a red apple in our first pick.
so, the bag, that was originally (but wrongly) labeled as "red/green" gets the label "red".
then the bag with the original (but again wrong) label "green" gets now the label "red".
and the third bag with the original (but wrong) label "red" gets the "red/green" label.
if the first apple is green, then the same principle just with reversed colors applies.
Health-Related Fitness is
A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
B. The components of physical fitness that is associated with some aspect of overall good health.
C. The ability of the body to supply oxygen and energy during prolonged physical activity.
D. The ability to carry out skilled actions that require coordination between the nervous system and the muscular system.
Answer:
It's A. The ability of a muscle group to exert a force against a resistance for an extended period of time.
s A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. The probability that the first marble is white and the second is blue
WHICH ONE? NEED ASAP THANK YOU
Answer:
see below
Step-by-step explanation:
the third one
8m^2-5m^+9m^2-9-4-2m
You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer
In Rebecca's neighborhood, 80% of the houses have garages and 46% have a garage and a pool. What is the probability that a house in her neighborhood has a pool, given that it has a garage? A. 58% B. 79% C. 34% D. 17%
The probability that a house in her neighborhood has a pool, given that it has a garage is; A. 58%
How to work with Venn diagrams?By Venn diagram, all houses that have garage have a pool. Thus, since given that households that have garage is 80% and households that garage and a pool is 46%.
Then probability that a house in her neighborhood has a pool is;
P = 46%/80%
P = 57.5% = 58%
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what expression is equivelent to 4x-10/2
Answer:
4x-5
Step-by-step explanation:
PLEASE HELP W CALC!!
ONLY #14 but you need to look at the the question (not the answer) in 13 to answer 14
14. Write but do not evaluate the integral which can be used to find the volume which results when region R in problem 13 is revolves around the line x=4
Answer:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Step-by-step explanation:
We can use the washer method. Because the axis of revolution is vertical, our representative rectangle is horizontal. Recall that:
[tex]\displaystyle V = \pi \int_a^b \left[ R(y)\right] ^2 - \left[r(y)\right]^2 \, dy[/tex]
Solve each equation as a function of y:
[tex]\displaystyle \begin{aligned} y & = \sqrt{x} \\ \\ x_1 & = y^2\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} y & = \frac{1}{4}x^2 - 1 \\ \\ x_2 & = \pm\sqrt{4(y+1)} \\ \\ & = \sqrt{4(y+1)}\end{aligned}[/tex]
The outer radius R is simply (4 - x₁) and the inner radius r is (4 - x₂). The point of intersection is (3.368, 1,835), so our limits of integration are from y = 0 to y = 1.835.
Therefore, the integral that represents the region being revolved around
x = 4 is:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Find the unit rate.
1/4 gallon for every 3/10 miles
The unit rate is:
Answer:
1.2 miles/gal
Step-by-step explanation:
I assume you want miles per gallon
3/10 mile / 1/4 gallon = 3/10 * 4/1 = 12/10 = 1.2 miles per gallon
if you want gallons/mile
1/4 gallon / 3/10 mile = .8333 gallon/mile
A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each fat gram has 10 calories. On a 2,100-calorie diet, about what percent of daily calories does 1 serving of walnuts provide?
Using the percentage concept, it is found that 1 serving of walnuts provides 10% of daily calories.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, one serving has 21 grams, each with 10 calories, hence the number of calories is given by:
C = 21 x 10 = 210 calories.
Hence, out of a 2,100 calorie diet, the percentage is given by:
[tex]P = \frac{210}{2100} \times 100\% = 10\%[/tex]
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2 is greater than or equal to −11
Answer:
The statement is true
Step-by-step explanation:
Positive numbers are always greater than negative numbers, so the statement would be true
What is the volume of this shape?
can you please help me I give you extra points
Answer:
( -6 , 4 ) , ( -5 , 6 ) , (-3 , 6 ) , (-1 , 4 )
A jar contains red, green, yellow, orange and black jelly beans. In total the jar has 500 jelly beans. 3 students are discussing the best strategy to determine how many of each color jelly beans are in the jar.
Maci suggest taking 5 random samples of 10 jelly beans and recording the results.
Brandy suggests taking 5 random samples of 20 jelly beans and recording the results.
Gabby suggests taking 10 random samples of 25 jelly beans and recording the results.
Which student's suggestion is most likely to result in the best prediction of how many jelly beans of each color are in the jar?
A: Gabby
B: Maci
C: It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
D:All 3 of them have the same likelihood resulting in the best prediction of how many of each color jelly bean are in the jar.
Using the Central Limit Theorem, it is found that the best prediction is given by:
A: Gabby.
What does the Central Limit Theorem state?It states that higher sample sizes and a higher number of experiments lead to more accurate predictions.
Gabby's sampling method has the higher sample size and also the higher number of experiments, hence her experiment gives the best prediction and option A is correct.
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Which matrix multiplication is possible?
[0 3]*[1 -4]
[3 -2]*[-1 0 0 3]
[1 0 1 1]*[3 0]
[1 -1]*[0 4]
Answer:
matrix multiplication is possible in this matrix
Step-by-step explanation:
[tex] ( \frac{1}{ - 1} ) \times (0 \: \: 4)[/tex]
Answer:
D
really sorry if wrong
but I am positive that is the answer