Steps to solve:
-4x = 12
~Divide -4 to both sides
x = -3
Best of Luck!
Answer:
x=-3
Step-by-step explanation:
-x=12/4
-x=3
×=-3
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.
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
Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does Erica have left to run?
Answer:
1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)
Step-by-step explanation:
Subtract: 3 x 106 – 7.197 x 105 = WWW
Answer:
w= 7.59
Step-by-step explanation:
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]
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
Calculate the speed of a train traveled 400miles in 5 hours
Answer:
80 miles per an hour
Step-by-step explanation:
400 divided by 5 equals= 80 so 80miles = 1 hour
Answer:
80 miles per hour.
Step-by-step explanation:
Start with the speed formula.
[tex]speed=\frac{distance}{time}[/tex]
In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.
Substitute:
[tex]speed=\frac{400}{5}[/tex]
Divide.
[tex]400[/tex] ÷ [tex]5[/tex]
Solve:
[tex]400[/tex] ÷ [tex]5=80[/tex]
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
Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each. Jane is 13 and Harvey is 39 Jane is 12 and Harvey is 48 Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H=3J
3J +J=52
4J=52
J=52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 36
What is 17 1/3 x 8 and how much water will each group get
Answer:
The Answer to 17 1/3 x 8 is 138.67
There is not enough context to answer the second question.
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;
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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:
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A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*
Answer:
$34.78
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
Find the distance between the points (6,1)and (9,6).The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
d = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}[/tex]
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]
Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?
Answer:
Yes
Step-by-step explanation:
I had this same question on a quiz and it is correct!
The square root of a number is equal to another number that when squared is equal to the original number.
Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.
To see that this is true:
For example, if the A and B are two numbers larger than 0, such that:
A > B
Then:
√A > √B
For example let's use A = 9 and B = 4.
9 > 4
And obviously the roots are:
√9 > √4
3 > 2
So yes, we can compare and order square roots by comparing the numbers inside of it.
If you want to learn more, you can read:
https://brainly.com/question/1387049
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)
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
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
Which of the following numbers would appear first if we were listing the numbers in descending order?
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!
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
W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Box, Supercuts, Jimmy Johns, Servpro, Denny's, Pizza Hut, 7-Eleven}, how many proper subsets does W contain?
Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
[tex]P = 2^n - 1[/tex]
Where
[tex]n = number\ of\ elements[/tex]
In this case;
[tex]n = 10[/tex]
So:
[tex]P = 2^n - 1[/tex]
[tex]P = 2^{10} - 1[/tex]
[tex]P = 1024 - 1[/tex]
[tex]P = 1023[/tex]
Hence;
Proper Subsets = 1023
Answer:
1024
Step-by-step explanation:
Can someone please solve this 4x+4(x-6)=3(2x+4)
Answer:
x = 18
Step-by-step explanation:
4x+4(x-6)=3(2x+4)
distribute
4x+4x-24=6x+12
combine like terms
8x-24=6x+12
carry across equal sign
2x-24=12
carry across equal sign
2x=36
divide
x=18
Answer:
X = 18
Step-by-step explanation:
4x + 4(x -6) = 3(2x + 4)
4x + 4x -24 = 6x + 12
8x -24 = 6x + 12
+24 +24
8x = 6x + 36
-6x -6x
2x = 36
Divide 2x and 36 by 2
X = 18
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:
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 :)
can someone please solve the question above.
Answer:
y = -7x + 11
Explanation:
Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.
HELP ME PLSEASE I NEED THIS <33
Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees