Fractions and integer operations practice, I need help please.
vertical translation
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
2k-3(2k-3)=45
step by step please?
Answer:
k=-9
Step-by-step explanation:
[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]
State the y-intercept of the function: f(x) = 3x - 6 *
Answer:
The y-intercept is -6.
Step-by-step explanation:
Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?
Answer:
$6.00-($2.00+$4.50)
in other terms, 6 - (2 + 4.5)
Step-by-step explanation:
So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.
To get how much all together, we have to add. 2 + 4.5
Now that we now how to get the total amount, out them in parentheses and add the 6 infront.
Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.
All this leads to the expression: 6 - (2 + 4.5)
Hope this helps :)
Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations
Answer:
Fred has saved $115 while Wilma had saved $230
Step-by-step explanation:
Let the amount saved by Fred be F while the amount saved by Wilma be W
Together, they have saved $345
Mathematically;
F + W = 345 •••••••(i)
We are also told that Wilma has have twice as much money as Fred;
Hence; W = 2F ••••••••(ii)
To get the amount of money they both have, we need to solve the equations simultaneously
Substitute ii into i
F + 2F = 345
3F = 345
F = 345/3
F = 115
But W = 2F
W = 2 * 115
W = 230
January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?
Answer:I believe it's 31,771
Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.
Scott earns $31,771 altogether during those three months.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
We have to determine that Scott earn altogether during those three months.
We have been given that in January, Scott earned $8,999.
In February, he earned $2,387 more than in January.
So we have to add the amount of January and 2,387, we get
⇒ 8,999 + 2,387 = 11,386
In March, Scott earned the same amount as in February.
So the amount of March = 11,386
Therefore, He earns altogether during those three months as
⇒ 8,999 + 11,386 + 11,386
Apply the Addition operation in the above expression,
⇒ 31,771
Hence, Scott earns $31,771 altogether during those three months.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
To know more about fraction:
https://brainly.com/question/10708469
#SPJ6
what is the value of (5.3x10^4)(4.2x10^3)l
Answer:
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Step-by-step explanation:
(5.3x10^4)(4.2x10^3)
Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.
5.3 x 10^4 x 4.2 x 10^3
= 5.3 * 4.2 * 10^4 * 10^3
= 22.26 * 10^7
Either convert back to scientific notation, standard form or keep as it is.
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
(6.42)-(-3.2) Btw I need to show my work...
Answer:
9.62
Step-by-step explanation:
Simplify the expression.
(6.42)+(-3.2)= 9.62
write an equation for the sentence. (Do not use any spaces) six times the sum of a number and five is 16
x = a number
6(x+5)=16
Answer:
If you're using x for "a number" then: 6(x+5)=16
What is the value of x?
34
56
68
79
Answer:
The answerer to this question is a 34
Step-by-step explanation:
Answer:
A. 34
Step-by-step explanation:
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Answer:
Step-by-step explanation:
g(x) = -2x - 4
f(-2x -4)
5(-2x - 4) + 7
-10x - 20 + 7
-10x - 13
how to solve −3d + 10 = 43
Answer:
-3d = 43-10
-3d = 33
d = 33/-3
d = -11
Answer:
d = 11
Step-by-step explanation:
Simplifying
3d + 10 = 43
Reorder the terms:
10 + 3d = 43
Solving
10 + 3d = 43
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 3d = 43 + -10
Combine like terms: 10 + -10 = 0
0 + 3d = 43 + -10
3d = 43 + -10
Combine like terms: 43 + -10 = 33
3d = 33
Divide each side by '3'.
d = 11
Simplifying
d = 11
Hope this helps!
Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please
Answer:
-2.4
Step-by-step explanation:
distribute the -4 and -2
add 12p to both sides
subtract 12 from both sides
divide
Someone please help me with this and explain it please.
===========================================
Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
2pi = 6.28sqrt(42) = 6.48sqrt(34) = 5.83We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]
All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?
Answer:
21
Step-by-step explanation:
24 play volleyball
15 play soccer
Softball= 60-(24+15)=21
or
2/5 = 40%
100% -(40+25)= 35%
60x0.35=21
Help plzzzzzzzzzzzzzzzzzz
Answer:
109
Step-by-step explanation:
To solve you must work backward, she has 8 jars of 13 pieces so first do
8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109
Answer:
109
Step-by-step explanation:
If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.
Cuánto mide el lado de un cuadrado si su área es de 20 cm
Use elimination to solve and match each system of equations to the correct solution.
5x+12y=-34
2x+4y=-12
Answer:
x = -2 y= -2
Step-by-step explanation:
5x+12y= -34
2x+ 4y = -12
2x= -4y -12
x= -2y -6
plug back in
5(-2y -6) +12y = -34
-10y -30 +12y = -34
2y = -4
y= -2
2x+4y=-12
4y= -2x -12
y= -.5x -3
plug back in
5x+ 12(-.5x-3)=-34
5x -6x -36 = -34
-x = 2
x= -2
Answer:
Step-by-step explanation:
5x + 12y = -34
-6x - 12y = 36
-x = 2
x = -2
5(-2) + 12y = -34
-10 + 12y = -34
12y = -24
y = -2
(-2, -2)
The graph shows the cost, C, of sending m text messages. What is the cost per message? A. $0.10 per message B. $0.15 per message C. $0.25 per message D. $0.05 per message
Answer:
$0.15
Step-by-step explanation:
3÷20=$0.15
I hope this helps
The cost per message is $0.15
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, a graph,
The graph is showing a straight line,
Considering a coordinate (3, 20),
That means, they cost $20 for 3 messages.
Therefore, for 1 message = 3/20 = 0.15
Hence, the cost per message is $0.15
For more references on unit rates, click;
https://brainly.com/question/29781084
#SPJ2
Subtract: 3 x 106 – 7.197 x 105 = WWW
Answer:
w= 7.59
Step-by-step explanation:
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answer: Increase
Step-by-step explanation: 18 is greater than 12
Solve the equation for the variable. Make sure your answer is in simplest form.
[tex]30x + 18 = 35 - 4x[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.
Answer:
[tex]x = \frac{1}{2} [/tex]Step-by-step explanation:
[tex]30x+18=35−4x[/tex]
First of all using the addition property add 4x to both sides
That's
[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]
Next using the subtraction property subtract 18 from both sides to make 34x stand alone
We have
[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]
Divide both sides by 34
That's
[tex] \frac{34x}{34} = \frac{17}{34} [/tex]
We have the final answer as
[tex]x = \frac{1}{2} [/tex]
Hope this helps you
What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope
Answer:
y = mx + b
m is the slope and b is the y intercept, if I remember correctly
hope this helps :)
Mark wants to put a fence around his square yard.He knows that his yard is shaped like a square and the area of the yard is 110. What would the perimeter be
Answer:
27.5 is the answer good luck
Step-by-step explanation:
good luck my G
Whats 1+1 ? I need help ASAP im rlly confused
Answer:
2
Step-by-step explanation:
hold one finger up, and add another, then count how many fingers you have
Answer:
2
Step-by-step explanation:
Order the values from
least to greatest:
1-1, 1-2, -3,-4
Please help me! I’m stuck - Mathematics
Answer:
17. 13
18. 3x + 12
19. 1/4
Step-by-step explanation:
17.
[tex]3a + b = 3(5) - 2 \\ = 13[/tex]
18.
[tex]3(x + 4) = 3x + 12[/tex]
19.
[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]
Answer:
Step-by-step explanation:
17. 3(5) + 2 = 15 + 2 = 17
18. 3(x + 4) = 3x + 12
19. 3/(3+4+5)= 3/12= 1/4
What is the value of the function, f(x)=x^2-5x when x=-5 ?
Answer:
f(-5) = 50
Step-by-step explanation:
Simply plug in -5 for x into the function:
f(-5) = (-5)² - 5(-5)
f(-5) = 25 + 25
f(-5) = 50