Answer: A) reflection over the x-axis, plus a vertical translation
Step-by-step explanation:
Ok, when we have a function y = f(x)
> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))
then for a funtion g(x), this tranformation can be written as h(x) = -g(x).
> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.
Then in this case we have:
y = g(x) = ln(x)
and the transformed function is h(x) = -ln(x) + 64
Then we can start with h(x) = g(x)
first do a reflection over the x-axis, and now we have:
h(x) = -g(x) = -ln(x)
And now we can do a vertical translation of 64 units up
h(x) = -g(x) + 64 = -ln(x) + 64
Then the correct option is:
A) reflection over the x-axis, plus a vertical translation
Answer:
A
Step-by-step explanation:
edge
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8
Answer:
129.1 square units
Step-by-step explanation:
First, let's find the area of the rectangle. We can use the formula below.
[tex]a=lw[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
The length of the rectangle is 13 and the width is 8.
[tex]l=13\\w=8[/tex]
Substitute the values into the formula.
[tex]a=13*8[/tex]
[tex]a=104[/tex]
Next, let's find the area of the semicircle. We can use the formula below.
[tex]a=\frac{1}{2} *\pi r^2[/tex]
First, find the radius. The radius is half of the diameter, and the diameter is 8.
⇒ r= d/2
⇒ r= 8/2
⇒ r= 4
[tex]a=\frac{1}{2} *\pi (4)^2[/tex]
Evaluate the exponent.
⇒ 4² = 4*4 = 16
[tex]a=\frac{1}{2} *\pi *16[/tex]
Multiply pi and 16.
[tex]a=\frac{1}{2} *50.2654825[/tex]
Multiply.
[tex]a=25.1327412[/tex]
Finally, find the area of the figure.
Add the area of the rectangle (104) and the area of the semicircle (25.1327412)
[tex]104+25.1327412[/tex]
[tex]129.132741[/tex]
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.
[tex]129.1[/tex]
The area of the figure is about 129.1 (square units).
write 4687.02 in standard form
Answer:
[tex]4 .68702\times 10^{ 3} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
1. Multiply 5.4(-0.42)
a. -2.268
b. 1.428
C. -0.2268
d. -1.428
please god help me
How do u solve this
Yes
Answer:
yes
Step-by-step explanation:
-5 + T = -5
A(0
B(-10
C(-5
D(10
anyone know what’s the answer to this
Answer:
0 (A)
Step-by-step explanation:
just cancel equal terms on both size
how do i memorize the multiplication tables?
Answer:
First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.
Answer:
Well I learned the tables when I was 5 or 6 years old.
Step-by-step explanation:
My mum checked me regularly.
I remember that green sheet with numbers...
Train your memory and tell your brain that you CAN do it...
The main thing is, don't give up!
D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.
Answer:
CD = 4DE = 24CE = 28Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
meaning of cube root
a waterwheel has a radius of 5 feet. the center of the wheel is 2 feet above the waterline. you notice a white mark at the top of the wheel. how many radians would the wheel have to rotate for the white mark to be 3 feet below the waterline?
a) 2pi radians
b) 3pi/2 radians
c) pi radians
d) pi/2 radians
Answer:
C. pi radians
Step-by-step explanation:
got it right on edge :)
Answer:
letter c
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!!!!!
Answer:
C is the answer
Step-by-step explanation:
Answer:
Its the third bubble
Step-by-step explanation:
Hope I helped you.
Help! Absolute value equations
Answer:
k = -5 , k= -2m= -21 , m=5Step-by-step explanation:
4.
[tex]3=\left|2k+7\right|\\\\\mathrm{Switch\:sides}\\\left|2k+7\right|=3\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2k+7=-3\quad \mathrm{or}\quad \:2k+7=3\\\\2k+7=-3\quad :\quad k=-5\\\\2k+7=3\quad :\quad k=-2\\\\\mathrm{Combine\:Solutions:}\\k=-5\quad \mathrm{or}\quad \:k=-2[/tex]
6.
[tex]3\left|m+8\right|=39\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left|m+8\right|}{3}=\frac{39}{3}\\\\Simplify\\\left|m+8\right|=13\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\m+8=-13\quad \mathrm{or}\quad \:m+8=13\\\\m+8=-13\quad :\quad m=-21\\m+8=13\quad :\quad m=5\\\\\mathrm{Combine\:Solutions:}\\m=-21\quad \mathrm{or}\quad \:m=5[/tex]
Answer:
4. k = -2 or k = -5
6. m = 5 or m = -21
Step-by-step explanation:
Here is the rule:
To solve an absolute value equation, get the absolute value alone on one side. Then split it into two equations separated by the word or. Each equation has what is inside the absolute value on the left side, and on the right side, one equation has the right side of the absolute value equation, and the other equation has the negative of the right side of the absolute equation.
This is a long explanation which is easier to understand with an example.
Example:
|3x + 2| = 16
Split it into two equations separated by the word "or."
3x + 2 = 16 or 3x + 2 = -16
You see that the left side of the two equations is the inside of the absolute value. The right side of the two equations is positive and negative 16 as explained int he rule.
4.
3 = |2k + 7|
Switch sides.
|2k + 7| = 3
Follow the rule above and split the equation into two equations separated by the word "or."
2k + 7 = 3 or 2k + 7 = -3
2k = -4 or 2k = -10
k = -2 or k = -5
6.
3|m + 8| = 39
We want the absolute value alone on the left side, so divide both sides by 3.
|m + 8| = 13
Now apply the rule above to split the equation into two equations.
m + 8 = 13 or m + 8 = -13
m = 5 or m = -21
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles. How many feet is that? Elena ran __________ feet.
Answer:
13,200 feet
Step-by-step explanation:
5,280 x 2 1/2 = 13,200
Answer:
13200
Step-by-step explanation:
5280 / 2 = 2640
5280+5280+2640=13200
2640 is half of 5280, which means it is the 1/2 part.
which is the value of g(-5) if g(x)=3.4x-8
Danielle pays $24.95 for her roller skates. After that she pays $3.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $76.30?
Given the function f(x)=2x-4 find x if f(x)=10
Answer:
7
Step-by-step explanation:
Since f(x)=10 is equivalent to f(x)=2x-4, make these equations equivalent. Add 4 to both sides, and simplify to get 2x=14. Divide both sides by 2 to get 7 as your answer.
Answer:
x = 7
Step-by-step explanation:
Given
f(x) = 2x - 4 and f(x) = 10, then equating gives
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below. Tuesday Thursday Saturday Hours worked 6 8 5 Amount paid $52.50 $70.00 $43.75 Which statement best describes the hourly rates? The two jobs pay the same hourly rate. The comparison cannot be made with the information given. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job. Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer:
Jason's camp counselor job pays a higher rate than Mia's lifeguard job.
Jason's job pays $9 a hour.
Mia's job pays $8.75 a hour.
52.50 divided by 6 equals 8.75
70.00 divided by 8 equals 8.75
43.75 divided by 5 equals 8.75
Step-by-step explanation:
Answer:
C. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Step-by-step explanation:
I took the quiz
Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
The magnitude of a vector < x, y > is calculated as
| < x, y > | = [tex]\sqrt{x^2+y^2}[/tex]
Thus
j + k = < - 2, 1 > + < - 5, 3 > = < - 2 - 5, 1 + 3 > = < - 7, 4 >
Then
| < - 7, 4 > | = [tex]\sqrt{(-7)^2+4^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]
What operation should you use to solve -6x = -24?
Answer:
division
Step-by-step explanation:
-6x/-6 = -24/-6
x = 4
3. Which of the following numbers is irrational?
a.
V256
b.
V100
C.
V111
d.
?
V625
Answer:
sorry
which of the following numbers are irrational☺
Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $10,000. The price of car A is $130,645. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car B?
Part a.
x = price of car B
x-130645 = difference in price from car A to car B
If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.
In short,
x-130645 > 0 when x > 130645x-130645 < 0 when x < 130645Using absolute value will give us
|x-130645| = positive difference in price
The result of an absolute value is never negative
We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.
-----------
Answer: | x-130645 | > 10000
================================================
Part b.
We'll use the idea that if |x| > k, then x < -k or x > k
to get the following
|x-130645| > 10000
x-130645 < -10000 or x-130645 > 10000
x < -10000+130645 or x > 10000+130645
x < 120645 or x > 140645
-----------
Answer:
Car B has a price less than $120,645
OR
Car B has a price greater than $140,645
So basically anything that is not between 120645 and 140645. The price has to be positive of course.
Which of the following describes a situation where the total distance a person traveled is 0 feet from the starting point? A. Wyatt drove 25 miles west and then 10 miles in the opposite direction B. Wyatt drove 25 miles east and then 25 in the opposite direction C. Wyatt drove 25 miles north then 20 miles in the opposite direction D. Wyatt drove 25 miles south and then 19 miles in the opposite direction
Answer:
B. Wyatt drove 25 miles East and then 25 miles in the opposite direction
Step-by-step explanation:
This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.
Answer:
B. Wyatt drove 25 miles east and then 25 in the opposite direction
Step-by-step explanation:
if you drive x amount of miles in one direction and then the oposite you return where you statred.
Solve the inequality and graph its solution on a number line a - 3 > -7
Answer:
B
Step-by-step explanation:
a-3>-7
collect like terms
a>-3-7
a>-10
Expand and simplify 3(5x + 2) +2(x-1)
Answer:
17x+4
Step-by-step explanation:
Just Multiply the Expression:
15x+6+2x-2
17x+4
Answer: 17x+4
Step-by-step explanation:
PLEASE HELP YOU GUYS I WILL MAKE YOU BRAINLLESS
which statement is likely to be true ?
The answer here will be [tex]A[/tex].
Answer:
The is answer is A
Step-by-step explanation:
It is A because when you look at the graph it is past ten and it is more than or equal to 75%
Hopefully this helps you :)
pls mark brainlest ;)
What is the value of 3^5 times 3^3 divided by 3^4
Answer:
3^4
Step-by-step explanation:
One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,
3^5 x 3^3 = 3^8
Another law is when dividing exponents with the same base, you can subtract the powers. So,
3^8/3^4 = 3^4
Hope this helps!
Please help!!!!
Find the x-intercepts.
y =
2x2 + 5x + 2
x2 - 4x + 3
(-0.5, [?]), ([ ], [ ])
Answer:
Step-by-step explanation:
2x² + 5x + 2=0 (roots or zeros)
(2x+1)(x+2)=0
2x+1=0 ⇒ x=-1/2 or -0.5
x+2=0 ⇒ x=-2
(-0.5,-1/2)x² - 4x + 3=0
(x-3)(x-1)=0
x-3=0 ⇒ x=3
x-1=0 ⇒ x=1
(3,1)Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)
Answer:
The equation of the line is,
[tex]y = - \frac{2}{5} x - 1[/tex]
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
[tex]2x + 5y = 15[/tex]
[tex]5y = 15 - 2x[/tex]
[tex]y = 3 - \frac{2}{5} x[/tex]
[tex]y = - \frac{2}{3} x + 5[/tex]
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
[tex]y = - \frac{ 2}{5}x + b [/tex]
[tex]let \: x = - 10,y = 3[/tex]
[tex]3 = - \frac{2}{5} ( - 10) + b[/tex]
[tex]3 = 4 + b[/tex]
[tex]3 - 4 = b[/tex]
[tex]b = - 1[/tex]
Answer:
the equation of a parallel line is : y=-2/5 x -1
Step-by-step explanation:
2x+5y=15
put the equation in the form of y=mx+b
2x+5y=15
5y=15-2x
y=15/5-2/5 x
y=-2/5 x+3
parallel lines has the same slope : m=-2/5
passes through point (-10,3) find b
y=-2/5 x +b
3=-2/5(-10)+b
3=20/5 +b
3=4+b
b=3-4
b=-1
the equation of a parallel line is : y=-2/5 x -1
If total sales in the ice cream category were $4.4 billion and Breyer’s sales were $650,417,792, what would be its market share? Round your answer to the tenth decimal place.
Answer:
14.8%
Step-by-step explanation:
The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%
Total sales of the company = Breyer's sales = $650,417,792
Total sales of the market = Total sales in the ice cream category market = $4.4 billion
= $650,417,792/ $4,400,000,000, × 100
= 14.782222545%
Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %
The intersection of two lines can be a line segment. true false
Answer:
false
Step-by-step explanation:
What is the value of the expression 24 + 10•8?
Answer:
[tex]\large\boxed{\text{The expression is equal to 104}}[/tex]
Step-by-step explanation:
[tex]24+10 \cdot 8 \\24+80\\104[/tex]