If g(x) is a translation of f (x) =x^2 right by 5 units and down 3 units which is g(x) ? Please help me ASAP
Answers
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + h) represents a horizontal translation of f(x)
• If h > 0 then a shift to the left of h units
• If h < 0 then a shift to the right of h units
Here the shift is 5 units right, thus g(x) = (x - 5)²
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 3 units down, thus g(x) = f(x) - 3
Hence
g(x) = (x - 5)² - 3 → C
Related Questions
A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle.
Answers
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Answer:
a. (-3,2)
b. sqrt(65)
c. (x + 3)² + (y - 2)² = 65
Step-by-step explanation:
Centre:
midpoint of the diameter
(h,k) = (-10+4)/2, (-2+6)/2
(h,k) = (-3,2)
Length of the diameter:
sqrt[(-2-6)² + (-10-4)²]
sqrt(260)
2sqrt(65)
Radius: ½ × diameter
Radius = sqrt(65)
Equation:
(x - h)² + (y - k)² = r²
(x - -3)² + (y - 2)² = (sqrt(65))²
(x + 3)² + (y - 2)² = 65
The table shows the cost and number of minutes for different phone cards offered by a company. Which is the BEST VALUE?
A) 175 minutes
B) 200 minutes
C) 425 minutes
D) 545 minutes
Answers
Answer:
175 MinutesStep-by-step explanation:
175 minutes
Unit cost =
cost
number of minutes
$3.50
175
= 2¢;
$7.00
200
= 3.5¢;
$21.25
425
= 5¢;
$38.15
545
= 7¢;
$37.50
625
= 6¢
In ΔKLM, the measure of ∠M=90°, LK = 25, KM = 7, and ML = 24. What ratio represents the cosine of ∠L?
Answers
Answer:
24/25
Step-by-step explanation:
cosin=cah adjacent over hypotenuse
"The correct ratio representing the cosine of ∠L in ΔKLM is [tex]\(\frac{7}{25}\).[/tex]
In right-angled triangle ΔKLM, where ∠M is 90°, the cosine of ∠L is defined as the ratio of the adjacent side to the hypotenuse.
The adjacent side to ∠L is KM, and the hypotenuse is LK.
Given that LK = 25 and KM = 7, the cosine of ∠L is calculated as follows:
[tex]\[ \cos(\angle L) = \frac{\text{Adjacent side (KM)}}{\text{Hypotenuse (LK)}} = \frac{7}{25} \][/tex]
This ratio [tex]\(\frac{7}{25}\)[/tex] represents the cosine of ∠L in ΔKLM."
14, 11,8, 1, 23, 20, 17, 5, 19, 10, 12, 22
Minimum. Q1: Q2: Q3: Maximum
Answers
Answer:
Minimum : 1
Q1 : 8
median or Q2 : 13
Q3 : 20
Maximum : 23
Step-by-step explanation:
Q1 = lower quartile
Q2 = median
Q3 = upper quartile
1 5 8 10 11 12 14 17 19 20 22 23
median or Q2 = 12 + 14 = 26 divided 2 = 13
median = 13
Q1 = 8
Q3 = 20
minimum ( least number) = 1
Maximum ( Greater number ) = 23
Final answer:
The answer explains the statistical measures of minimum, quartiles, and maximum for a given set of numbers in Mathematics at a High School level.
Explanation:
The given numbers are:
Minimum: 1
Q1: 8
Q2: 17
Q3: 20
Maximum: 23
This data represents statistical measures such as minimum, quartiles, and maximum which are essential in data analysis and interpretation in Mathematics at a High School level.
1/3 of a number equals 12 which equation could be used to find the number
Answers
Answer: If you're looking for just an equation it would be 1/3x=12. If you need the answer as well, x=36.
Step-by-step explanation: "Of a number" means to multiply by x.
If you're looking for the solution to the equation as well, multiply both sides by 3. 12*3=36
1/7 ÷ 2 =
A.
1
14
B.
5
7
C.
1
2
7
D.
2
1
5
Answers
Hey there!
1/7 ÷ 2
= 1/7 ÷ 2/1
1/7 ÷ 2/1
Revert 2/1 to 1/2
1 × 1 / 7 × 2
1 × 1 = 1 ⬅ your NUMERATOR (top number)
7 × 2 = 14 ⬅ your DENOMINATOR (bottom number)
1(1) / 7(2) = 1/14
Answer: 1/14 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
What is the volume of a refrigerator that is 6 feet high, 2 feet long, and 3 feet wide?
A. 11 cubic feet
B. 36 cubic feet
C. 24 cubic feet
D. 32 cubic feet
Answers
Answer:
B, 36 cubic feet
Step-by-step explanation:
The volume of a rectangular prism can be found by multiplying together all of the side lengths. 6*2*3=36 cubic feet, or option B. Hope this helps!
Volume of a rectangle [ V = h * l * w ]
V = 6 * 2 * 3
V = 12 * 3
V = 36
Therefore, the answer is B. 36 cubic feet
Best of Luck!
The diameter of the circle above is 8 cm. What is the circumference of the circle?
1) 12.56 cm
2) 25.12 cm
3) 100.48 cm
4) 50.24 cm
Answers
Answer:The Answer is D) 50.24 cm
Step-by-step explanation:
Explanation: 8cm Diameter
Which of the following are true about x? Check all that
apply.
0 xEA
XEB
хе С
XEAUB
XEAUC
XEANB
Answers
Answer:
all except the first one
Step-by-step explanation:
just did this assignment
The statements true about x are all the statements other than first one. x ∈ B, x ∉ C, x ∈ A∪B, x ∈ A∪C and x ∈ A∩B.
What is Venn Diagram?Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.
Given is a Venn diagram.
The blue portion of the circle is A.
Pink portion is B.
Green portion is C.
x is inside the blue circle.
So x belongs to A. x ∈ A
So the statement 1 is not true.
x is also inside the pink portion.
So, x ∈ B
x is not inside the green portion.
So, x ∉ C
A ∪ B consists of all the elements inside A and all the elements inside B.
So x ∈ A∪B
Since x ∈ A, x will be included in A ∪ C.
So, x ∈ A∪C
A ∩ B consists of elements which are both in A and B.
Since, x ∈ A and x ∈ B, x ∈ A∩B
Hence all the statements other than first are true.
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The complete question is given below.
louis and valentina have 60 toys to build louis builds 1/2of the toys while valentina builds 2/5 how many toys are left
Answers
Answer:
6
Step-by-step explanation:
1/2 = 0.5
2/5 = 0.4
60 × 0.5 = 30
60 × 0.4 = 24
30 + 24 = 54
60 - 54 = 6
Answer:
6
Step-by-step explanation:
Louis build 1/2 of the toy and the total of the toy is 60
Which means
1/2×60=30
Valentina build 2/5 toy
2/5×60
120/5
24
So to determine the amount left
It will be
Total-(Louis+Valentina)
60-(30+24)
60-(54)
60-54
6
So the amount left is 6
One number is 6 more than another. Twice the larger number is 5 times the smaller. Which is the smaller number?
Answers
Answer:
4
Step-by-step explanation:
do the math plug it in
4 + 6 = 10,
10 x 2 = 20
20/5 = 4
The value of the smaller number is 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's start by translating the given information into equations.
We can use variables to represent the two numbers, and use the given information to write equations in terms of those variables.
Let x be the smaller number.
Then the larger number is 6 more than x, which we can write as (x + 6).
Twice the larger number is 5 times the smaller, which we can write as:
2(x + 6) = 5x
Now we can solve for x:
2x + 12 = 5x
Subtracting 2x from both sides, we get:
12 = 3x
Dividing both sides by 3, we get:
x = 4
Therefore,
The smaller number is 4.
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The volume of a sphere is 500
3
πcm3. What is the radius?
Answers
Answer:
Step-by-step explanation:
The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula: 500 3 π = 4 3 πr3 2. undo multiplication of 4 3 : 125π = πr3 3. undo multiplication of π: 125 = r3 4. undo cube: 3√125 = r the radius of the sphere is 6 ⇒ 5 cm
Answer:
about 4.9 cm
Step-by-step explanation:
The equation for the volume of a sphere is V= [tex]\frac{4}{3}\pi r^3[/tex] . So, to solve this problem we will plug in 500 for V and solve for the radius, [tex]r[/tex].
500= [tex]\frac{4}{3} \pi r^3[/tex] Multiply both sides by 3: [tex]1500=4\pi r^3[/tex] Divide both sides by 4: [tex]375=\pi r^3[/tex] Divide both sides by [tex]\pi[/tex]: [tex]\frac{375}{\pi } =r^3[/tex] Find the cubed root of both sides: [tex]4.9237=r[/tex] The radius is about 4.9 cm!NEED HELP URGENTLY!
p − 10p + -5p + 14p − -9p − 2 = -20
Answers
Answer:
p = -2
Step-by-step explanation:
p − 10p + -5p + 14p − -9p − 2 = -20
-9p + 9p + 9p = -20 + 2
9p = -18
p = -2
solve for x, x/25 > 5
Answers
Answer:
x > 125
Step-by-step explanation:
Multiply both sides of the inequality by 25:
25(x/25) > 25(5)
x > 125
_____
Comment on solving inequalities
In general, you solve these the same way you would an equation. The difference comes when you use an operation that changes ordering. Multiplying or dividing by a negative number does that, for instance.
Consider ...
2 > 1.
Multiply both sides by -1, and it is true only if you reverse the comparison:
-2 < -1
(There are other operations that change ordering, but this is the one you will likely run across most often.)
According to the diagram, which statement is true?
A) All rhombuses are squares.
B) All squares are rectangles.
C) All rectangles are squares.
D) All parallelograms are rectangles.
Answers
Answer:
B. All squares are rectangles.
Step-by-step explanation:
Answer:
Every square is a rectangle
Step-by-step explanation:
Heather earns 8.00 per hour for walking a dog how many hours must she work to earn 256.00
Pls be quicckkkkkk
Answers
Answer:
32
Step-by-step explanation:
Please help, I really don't understand.
Answers
Answer:
A
Step-by-step explanation:
Basically, the definition of a function is a relation on a graph where no two y values have the same x value. This means that a and b are the only options now.
Since the graph is broken up into points, not one line, the range and domain cannot be intervals. So the only logical answer is a
Thank me later :)
Albert wants to buys some pens. He is comparing 4 different packs of pens. The number of pens in each pack and the cost of the pack is shown in the table below. Which two packs of pens have the same cost per pen?
Answers
Answer:
There are 2 red pens in each pack
There are 3 blue pens in each pack
Step-by-step explanation:
we know that
270=2*3^{3} *5
180=2^{2}*3^{2}*5
Find the Greatest Common Factor (GCF)
The GCF is equal to------> 2*3^{2}*5=90
the greatest number of packs she can make is 90
Find the number of red pens in each pack 180/90=2 red pens
Divide the total number of red pens by the total number of packs
Find the number of blue pens in each pack 270/90=3 blue pens
Divide the total number of blue pens by the total number of packs
Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat
and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
Answers
Answer:
A = {KL}
Step-by-step explanation:
Since we have given that
There are three person : Joe, Keitaro, Luis.
And two names will be selected for he game .
Possible events will be
But we want to find the complement of the event in which Joe plays in hte first match,
As we know that complement of any events means eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by
So, complement of this event that Joe plays in the first match is given by
The possible events are:
{JK, JL, KL}
The events where J does not play (the first game) are: {KL}
Answer: A = {KL}
The complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
What is a complement of an event?Complementary events are two events that exist such that one event will occur if and only if the other does not take place.
Given that, Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
There are three persons: Joe, Keitaro, Luis.
There are two names to be selected for the game.
Possible events will be = {JK, JL, KL}
But we want to find the complement of the event in which Joe plays in the first match,
As we know that complement of any events means to eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by = {JK, JL}
So, the complement of this event that Joe plays in the first match is given by = {KL}
Hence, the complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
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Anna Maria read 40 pages in 60 minutes. What is her unit rate in pages per unit?
Answers
Answer:
2/3 (0.6 repeating) pages per minute
Step-by-step explanation:
Divide the numerator (40) by the denominator (60).
You get 2/3 pages per minute.
What is longer 10/4 inches or 3 inches
Answers
Answer:
10 divided by 4 is 2.5 inch. so 3 inches is longer then 10/4
Step-by-step explanation:
What is the circumference of this circle, in centimeters? Use
d = 21 cm
33
66
207.4
346.5
Answers
Answer:
66 cm
Step-by-step explanation:
Diameter of the circle = 21 cm
π = 22/7
Circumference of a circle, C= πD
C = 22/7 * 21
C = 22 * 3 * 7 / 7
C = 22 * 3
C = 66 cm
Answer:
B:66
Step-by-step explanation:
Find the distance between the points (3,-4) and (3,6)
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I used the the distance formula.
A potential solution of sqrt(2x + 3) = sqrt(2x) + 3 is?
Answers
Now solve for x:
3 = (6sqrt2x) + 9.
-6 = 6sqrt2x.
-1 = sqrt2x.
Square both sides:
1 = 2x
x =1/2 is a possible answer
Answer:
1/2 and the second part is A
Step-by-step explanation:
e2020
nstead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?
Answers
Answer:
[tex]2, 3, and, 4[/tex]
Step-by-step explanation:
[tex]Pink=P[/tex]
[tex]White=W[/tex]
The equation in this question is modeled by:
[tex]P=2W[/tex]
So all you need to do is put the numbers in this equation!
[tex]4=2W\\6=2W\\8=2W[/tex]
The answers would be:
[tex]2, 3, and, 4[/tex]
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
Answers
Answer:
hope this helps you to understand
For 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
W have:
Rate of burning for thicker = h/4
Rate of burning for thinner= h/2
remaining part = h - ht/4
remaining part = h - ht/2
h - ht/4 = 3(h - ht/2)
After solving for t:
t = 8/5 hours
or
t = 96 minutes
Thus, for 96 minutes the candles were burning if two candles of equal height start to burn simultaneously.
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help me please 20 points
Answers
Answer:
the answer would be 15/4, but you have to write it in other forms so do 15 div 3 and 4 div by 3 that gives you 1/3 . ANSWER = A
Step-by-step explanation:
The following numerically ordered sequence of numbers has a mean of 17 and a median of 18.
7, a, 12, 15, 17, b, 20, 22, 24, 25
Given this information, the values of a and b must be:
Answers
Answer:
a = 9
b = 19
Step-by-step explanation:
DO B FIRST
The mean is the average of all the terms (numbers) in the sequence
To find the average you find the sum of the terms and divided the sum by the number of terms there are.
The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A
a = 17(10)-7-12-15-17-19-20-22-24-25
a = 170-161
a = 9
The median is found by taking the average of the two middle terms
Our middle terms are 17 and B
the median times 2 equals the sum of the two terms and then subtract the term you know from the sum
b = 18(2)-17
b = 36-17
b = 19
Write 10 ^ 10 * 10 ^ 0 with a power of 10 with a single exponent using the appropriate exponent rule explain or show your reasoning
Answers
Answer:
10^10
Step-by-step explanation:
Anything to the power of 0 is 1. 10^10 *1 is still 10^10
Answer:
10^10
Step-by-step explanation:
Based on these results, which of these statements
are true?
-You would expect to get 0 heads and 3
heads about the same number of times.
-You would expect to get 1 head and 2 heads
about the same number of times.
-This would be a good experiment to use to
find the probability that a family has a dog or
a cat.
-This would be a good experiment to use to
find the probability that a family with 3 kids
has 1 boy
Answers
Answer:
e2020 is A and B
Step-by-step explanation:
Answer:
A-you would expect to get 0 heads and 3 heads about the same number of times
B-You would expect to get 1 head and 2 heads about the same number of times
Step-by-step explanation: