Answer:
the answer is c
Step-by-step explanation:
What are the vertex and range of y = |x + 2| − 3?
a. (−2, −3); −∞ < y < ∞
b. (−2, −3); −3 ≤ y < ∞
c. (0, −1); −∞ < y < ∞
d. (0, −1); −3 ≤ y < ∞
Answer:
answer is b
Step-by-step explanation:
the original function was y=|x|
then |x+2| shifts graph vertex to (-2,0)
then |x+2|-3 shifts graph vertex to (-2,-3)
so , range of the new function would be -3 to positive infinity
Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas. If Lydia uses the same recipe to make 1 pizza, how much cheese is needed?
Answer: Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas, which means that she used 1/3 / 3 = 1/9 pound of peppers and 1/10 / 3 = 1/30 pound of cheese per pizza.
If Lydia uses the same recipe to make 1 pizza, she will need 1/9 pound of peppers and 1/30 pound of cheese. Therefore, the amount of cheese needed is 1/30 pound.
Step-by-step explanation:
Help help math math math
Answer: T-R
Step-by-step explanation:
(HELP ME BRAINLIEST OF THE BRAINLESTS!!!!!!)
A 1. Some square tiles measure 3 1/2 inches on each side. Seven Tiles are placed in a row. How long is the row of tiles?
The row would be _____ inches long
B 2. Suppose that 10 tiles like those problem 1 were placed in a row. How long would that row of tiles be
It would be ______ inches long
The row of tiles would be 24 1/2 inches long.
B:The row of 10 tiles would be 35 inches long.
What is the length of the row?A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said row.
So, all tile measures 3 1/2 inches on each side, Hence the length of one tile is 3 1/2 inches.
Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:
Length of the row = 3 1/2 inches/tile x 7 tiles
= 24 1/2 inches
So, the row of tiles is 24 1/2 inches long.
B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.
Note that:
Length of one tile = 3 1/2 inches
Number of tiles in the row = 10
Hence:
Length of the row = 3 1/2 inches/tile x 10 tiles
= 35 inches
So, the row of 10 tiles is 35 inches long.
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888 divided by 8 and
574 divided by 7
Answer:
111 & 82
Step-by-step explanation:
888/8=111
574/7=82
Answer:
574/7=82
888/8=111
......................
You randomly choose two shapes from the bag, with replacement. Find the probability of choosing a star and then a circle. Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
Of the 60 books on a bookshelf,24 are non-fiction.what percent of the books are non fiction.
fiction?
Consider the following triangle.
A right triangle. The side opposite to theta is 5 meters and the side adjacent is 6 meters.
Determine the measure of the angle represented by Theta using the inverse tangent function.
a.
50.2º
b.
56.4º
c.
39.8º
d.
33.6º
Answer:
Step-by-step explanation:
tan theta=5/6
theta=tan-1(5/6)
=39.8º
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
Determine the cubic function that is obtained from the parent function y = x^3 under a vertical stretch by a factor of 5, a reflection across the x-axis, a vertical translation 1 unit down, and a horizontal translation 7 units right .
Answer:
y = -5(x - 7)^3 - 1
Step-by-step explanation:
You kind of just plug in the numbers.
a vertical stretch by a factor of 5: y = 5x^3
a reflection across the x-axis: y = -5x^3
a vertical translation 1 unit down: -5x^3 - 1
a horizontal translation 7 units right: -5(x - 7)^3 -1
Using translation concepts, it is found that the cubic function is given by:
\(y = -5(x - 7)^3 - 1\)
The parent function is given by:
\(y = x^3\)
A vertical stretch by a factor of 5 is the same as multiplying by 5, hence:
\(y = 5x^3\)
A reflection across the x-axis is the same as multiplying by -1, hence:
\(y = -5x^3\)
A vertical translation 1 unit down is the same as subtracting 1, hence:
\(y = -5x^3 - 1\)
A horizontal translation 7 units right means that \(x \rightarrow x - 7\), hence:
\(y = -5(x - 7)^3 - 1\)
A similar problem is given at https://brainly.com/question/18405655
-2x-y-2z+4x-2y+3z
Please help
Answer:
2x-3y+z
Step-by-step explanation:
-2x-y-2z+4x-2y+3z
combine like terms
-2x+4x= 2x
-y-2y= -3y
-2z+3z= z
so..
2x-3y+z
(question 15) Find the derivative of the function
using logarithmic differentiation.
Answer:
\(\textsf{A.} \quad (2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
Step-by-step explanation:
Replace f(x) with y in the given function:
\(y=(x+2)^x\)
Take natural logs of both sides of the equation:
\(\ln y=\ln (x+2)^x\)
\(\textsf{Apply the log power law to the right side of the equation:} \quad \ln a^n=n \ln a\)
\(\ln y=x\ln (x+2)\)
Differentiate using implicit differentiation.
Place d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}\ln y=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
First, use the chain rule to differentiate terms in y only.
In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
Now use the product rule to differentiate the terms in x (the right side of the equation).
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let}\; u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)
\(\textsf{Let}\; v=\ln(x+2) \implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{1}{x+2}\)
Therefore:
\(\begin{aligned}\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&=x\cdot \dfrac{1}{x+2}+\ln(x+2) \cdot 1\\\\\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&= \dfrac{x}{x+2}+\ln(x+2)\end{aligned}\)
Multiply both sides of the equation by y:
\(\dfrac{\text{d}y}{\text{d}x}&=y\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Substitute back in the expression for y:
\(\dfrac{\text{d}y}{\text{d}x}&=(x+2)^x\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Therefore, the differentiated function is:
\(f'(x)=(x+2)^x\left[\dfrac{x}{x+2}+\ln(x+2)\right]\)
\(f'(x)=(2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
An angle measures 124° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
56°
Step-by-step explanation:
Supplementary angles are = to 180° so you have to subtract 124 from 180 which gives you 56°
What is the equivalent to the product below when x>_0?
√5x² •√15x²
Which is a irrational number?
How long does it take for a snail to crawl 64 inches
Answer:
2.55 minutes it takes a snail to crawl 85 inches
i hope this helps you
Step-by-step explanation:
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. What is the probability of picking a green marble?
Answer:
0.25
Step-by-step explanation:
The total number of marbles is 2 + 2 + 3+ 5 = 12
the number of green ones is 3
So the probability of green = 3/12 = 1/4 = 0.25
Answer:
Red
Step-by-step explanation:
Because it was most pick the first time
3.2468 rounded to the nearest
hundredth
and thousandth
Answer:
3,266.53
Step-by-step explanation:
Rounded to the nearest hundreth thousandths
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answer:
(2w-3)2+2w=66
4w-6+2w=66
6w=66+6
6w=72
w=12
l=24-3
l=21
Translate the triangle.
Anyways but I’ve been on this question for about 20 minutes because I can’t find the answer anywhere.
Answer:
A: (2,2) B: (3,-1) C: (-1,0)
Step-by-step explanation:
Change the coordinates of each point using the given translation. So 2 left 3 up.
MEAN MEDIAN AND MODE OF
18 70 52 17 86 121 86 3 66
96 41 50 176 26 28 6 55 21
43 20 56 71 57 16 20 30 31
44 44 92 179 80 98 44 66 15
mean: 56.22, median: 38 and mode: 44
Explanation:Mean:
\( \frac{sum \: of \: observations}{total \: no. \: of \: observations} \)
so,
\( \frac{2024}{36} \)
simplify:
56.22
Median:\( \frac{55 + 21}{2} \)
\( = \frac{76}{2} \)
\( = 38\)
Mode:\(mode \: is \: 44 \: bcz \: it \: is \: \)
\(frequently \: used\)
Thus, the mean: 56.22, median: 38 and mode: 44Need help ASAP
Will Mark, you brainlist
Answer:
(4,-1)
Step-by-step explanation:
Yell at me if im wrong.
Answer:
¼
Step-by-step explanation:
Compare the coordinates of two points to find the rate of change.
Using (0,-5) and (4,-6):
Δy/Δx = ((-6)-(-5))/(4-0) = (-1)/4 = -¼
Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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Tommy divided 768 by 8 and his answer was 97 r2. He made a mistake. What did he do wrong?
The answer is 96.
/\___/\
(=θωθ=)
( > >) \/ \/_____Here is my question. It's for my 6th Grade ALEKS.
Answer:
Step-by-step explanation:
i do 6th grade aleks too!
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
solve for x.
x/3 < -6
Answer: x < -18
Step-by-step explanation:
Simply multiply both sides by three to get x < -18
Step-by-step explanation:
x/3 < - 6
x < - 18
This should be the answer
The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.