Answer:
[tex]g(x) = 3\cdot (x+3)^{2}+12[/tex]
Step-by-step explanation:
There are two operations involved:
Vertical translation:
[tex]f'(x) = f(x) \pm c,\,c\in \mathbb{R}[/tex] (1)
Note: Positive sign represent a translation upwards.
Horizontal translation:
[tex]f'(x) = f(x\pm c), x\in \mathbb{R}[/tex] (2)
Note: Positive sign represent a translation leftwards.
Then, the new function must be:
[tex]g(x) = f(x-3)+4[/tex]
[tex]g(x) = 3\cdot (x+3)^{2}+12[/tex]
Yolanda made $242 for 11 hours of work. At the same rate, how many hours did she have to work to make $198.
His hourly rate is:
242/11=22 dollars
( dollars/hour ) x ( hours worked ) = dollars earned
Let t= hours worked
22t+=198
t=198/22
t=9
Yolanda needs to work 9 hrs
Circle P has radius 6, and circle O has circumference 36π. What is the scale factor of the dilation that transforms circle P into circle O?
Answer:
thanks
Step-by-step explanation:
I don't understand this problem. will look at and edit my answer if get it.
2x=16 what is the answer
Answer:
8
Step-by-step explanation:
2*8 = 16
Answer:
x=8
Step-by-step explanation:
Thats what I think it is
Is y=10-2/x a liner or nonlinear equation?
Answer:
Non-Linear
Step-by-step explanation:
In linear equations, the variable 'x' shouldn't be in the denominator of a fraction. It will not form a straight line when graphed.
See picture below.
Hope this helps!
y=10-2/x is a non linear equation
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
The given equation is y=10-2/x
The x variable is in the denominator.
The given equation is not in the form of the linear equation y=mx+b.
and when we graph this equation we do not get a straight line.
Hence, y=10-2/x is a non linear equation
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What is the measure of angle B in degrees?
Answer:119
Step-by-step explanation:
edge 2021
Traingle A' B' C' is the image of triangle ABC under a dilation. What is the scale factor of the dilation?
A cheese maker changes the temperature of his milk at a rate of -3°F per minute. What is the change
in the temperature of the milk after 15 minutes?
Answer: -45°
Step-by-step explanation: This is because if it changes -3°F every minute and there are 15 minutes, just do 15*-3. In this case, is -45°
9 x ( 8 divided 1^3 )
Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.
Answer:
the selling price of the goods is ₹6,00,000
Step-by-step explanation:
The computation of the selling price of the goods are shown below:
As we know that
Selling price = Cost price + profit
= 5,00,000 + 5,00,000 × 0.20
= 5,00,000 + 1,00,000
= ₹6,00,000
Hence, the selling price of the goods is ₹6,00,000
13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
original price of a box of chocolates is $30. What is the sale price? (price after the discount)
A $3.00
C $27.00
B $5.00
D $33.00
Please help!! This test is super hard
Answer:
$27.00
Step-by-step explanation:
First, 10% of 30 = 3.
Second, 30 - 3 = 27
Hope this helps!
Sam and Ella were running in a race. Sam ran ⅞ of a mile and Ella ran 5/10 of a mile. At the end of the race they wanted to compare how far they ran. Ella said they could compare the fractions by comparing each fraction to ½. Show how Ella could compare 5/10 and ⅞ to ½ . Then explain who ran further and how you know.
Answer:
ELLA
Step-by-step explanation:
Given that :
Distance covered by Ella = 5/10
Distance covered by Sam = 7/8
Comparing each distance to 1/2
Ella = 5/ 10 = 1/2 ; 1/2 = 1/2 = 0.5
Sam = 7/8 = 0.875 ; comparing with 1/2
0.875 > 0.5
Given
Sam ran farther Than ELLA
Because 0.875 > 1/2
0.875 - 0. 5 = 0.375
In AKLM, k = 13 cm, 1 = 17 cm and m=28 cm. Find the measure of ZK to the nearest
degree.
Answer:
18
Step-by-step explanation:
delta math
State if this sequence is Arithmetic, Geometric, or neither
Answer:
1.)Geometric
2.)Arithmetic
3.)Arithmetic
4.)Arithmetic
5.)Geometric
Step-by-step explanation:
Geometric is here you multiply or divide the same number to different numbers to get a sequence. Arithmetic is where you ad or subtract.
3. If the average of 16, 14, x, 23, 20 is 18, find the value of x.
LA
Maths
Answer:
x = 17
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the mean is the sum of the numbers divided by the count of the numbers
The count of the numbers is 5
So we have;
(16 + 14 + x + 23 + 20)/5 = 18
73 + x = 5(18)
73 + x = 90
x = 90-73
x = 17
Find the Circumference in the example below using the steps provided. Use 3.14 for Pi. Do not round. Be sure to label your answer.
where is the example
I can't answer the question without the example provided, but here are some steps to solve it.
Basic info-
Circumference (C)
3.14 is used for pi π= 3.14
The line halfway of the circle is the radius(r)
The line through the circle is the diameter(d)
Formulas:
C= 2πr
2 × 3.14 × the radius
OR
C= πd
3.14 × the diameter
help me please please!!!!!!!!
If x + y = 12 and x = 2y, then x=
The value of x is equal to 8.
Given the following equation;
[tex]x + y = 12[/tex] .....equation 1
[tex]x = 2y[/tex] .....equation 2
To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;
Substituting eqn 2 into eqn 1, we have;
[tex]2y + y = 12[/tex]
[tex]3y = 12\\\\y = \frac{12}{3}[/tex]
y = 4
Next, we would solve for the value of x;
From equation 2;
[tex]x = 2y\\\\x = 2(4)[/tex]
x = 8
Therefore, the value of x is equal to 8.
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identity the transformation that was applied to this letter.
Answer:
Rotation around the origin.
The image was rotated 90 degrees clockwise
A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?
Answer: [tex]27.6\ in.^3[/tex]
Step-by-step explanation:
Given
Length of Prism is [tex]l= 7.34\ in.[/tex]
The width of Prism is [tex]w=3.12\ in.[/tex]
The height of Prism is [tex]h=6\ in.[/tex]
The volume of a The height rectangular prism is given as
[tex]V=l\times w\times h[/tex]
Substituting values we get
[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]
Volume of storage [tex]V_s=165\ in.^3[/tex]
The difference in volume is
[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]
the cost of 7 toys is AED 294. the cost of 5 toys. (Unitary method)
Answer:
AED 210
Step-by-step explanation:
If the cost of 7 toys is AED 294, this is written as;
7 toys = AED 294
To get the cost of 5 toys, this is written as;
5 toys = x
Divide both expressions
7/5 = 294/x
Cross multiply
7x = 5 * 294
7x = 1470
x = 1470/7
x = 210
Hence the cost of 5 toys is AED 210
Adult movie tickets cost $8 each. Children pay $5 for a ticket. For one movie, 90 total tickets were sold for a total of $525. Which system of equations can be used to find the number of each type of ticket, adult, a, and children, c, that were sold?
A. a + c = 90 8a + 5c = 525
B. a + c = 525 8a + 5c = 90
C. a + c = 90 5a + 8C = 525
D. a + c = 525 5a + 8C = 90
Answer: A
Step-by-step explanation:
I had this question on my test yesterday lol
The system of equation will be ". a + c = 90 8a + 5c = 525"
Let the number of adults tickets be represented by a
Let the number of children tickets be represented by c.
Since 90 total tickets were sold, this can be represented by the equation:
a + c = 90
Since adult movie tickets cost $8 each while the children pay $5 for a ticket, and total cost spent is $525, this will be:
8a + 5c = 525
Therefore, the correct option is A.
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help!! please! it’s due in 2 hours!
Answer:
-3
Step-by-step explanation:
on the number line -3 is closer to 0
At the first stop on a subway line, 50 passengers entered the train. The chart shows the number of passengers that entered and
exited the train for the next 5 stops. How many passengers were on the train when the train departed from stop 5?
Answer:
Is there a chart for this ?
Answer:
c) 30
Step-by-step explanation:
this is the answer for usa test prep !!
ALL YOU NEED IS IN THE PHOTO PLEASE DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE hhgfdfgg shrinks Zuniga
Answer:
Option (3)
Step-by-step explanation:
Value of a car with a depreciation rate 'r' after time 't' is given by the formula,
v(t) = [tex]v_0(1-\frac{r}{100})^t[/tex]
Here, v(t) = Final value
[tex]v_0[/tex] = Initial value
r = rate of depreciation
From the given function,
v(t) = [tex]24893(0.88)^t[/tex]
v(t) = [tex]24893(1-0.12)^t[/tex]
= [tex]24893(1-\frac{12}{100})^t[/tex]
Now we compare this expression with the formula of depreciation.
[tex]v_0[/tex] = 24893
r = 12%
Therefore, Option (3) will be the answer.
write an equation for the following: (3,-2) and a slope of -2
Answer:
y=-2x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-2(x-3)
y+2=-2x+6
y=-2x+6-2
y=-2x+4
*picture from last questions!!*
The product of two numbers is 48. Their sum is 16. What is the greater of the two numbers? A 4 B. 8 C. 12 D. 24
Answer:
C. 12
Step-by-step explanation:
4×12 = 48 and 4 + 12 = 16
12 is the bigger number of the two.
3,111 x 6.5 plz i need it by tuesday
Answer:20221.5
Step-by-step explanation:
Answer:
20221.5
Step-by-step explanation:
4. This is a
function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = [tex]\frac{a}{b}[/tex] --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = [tex]\frac{6}{b}[/tex]
b = [tex]\frac{6}{4}[/tex] = 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
Help me in 5 minutes
Answer:
it should be A and C
Step-by-step explanation:
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