Transformation involves changing the form of a function
The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.
The function is given as:
[tex]y = \log(x)[/tex]
Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.
So, we have:
[tex]y = \log(2 \times x)[/tex]
[tex]y = \log(2x)[/tex]
Next, shift the function up by 3 units.
So, we have:
[tex]y = \log(2x) + 3[/tex]
Hence, the true statement is (a)
Read more about transformations at:
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Answer:
its b on edge
Step-by-step explanation:
Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.
Answer:
The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.
i need help please!!!!
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
Bradley has $48,350 in a savings account that earns 3% interest per year. How much will he have in 24 months?
Answer:
48350.06
Step-by-step explanation:
nvm I'm wrong is there a way to delete answer
Use the simple interest formula:
Total = start value x( 1+ (interest rate x time In years))
Total = 48350 x (1+(0.03 x 2))
Total = 48350 x 1.06)
Total = $51,251
2x/5=9/15 what does x equal
Answer:
2x/5=9/15
2x=9/3
x=1.5
Solve the system of linear equations by substitution x=5y+2 and x-4y=5
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
express the following ratio in the simplest form 7.2m to 24cm
Answer:
Our simplified ratio is 3:10.
Step-by-step explanation:
We are given this ratio:
7.2:24We can tell that 7.2:24 = 7.2/24. Now, let's simplify.
=> 7.2/24 = 6/20=> 6/20 = 3/10Our simplified fraction is 3/10. Now, let's turn it back to ratio form.
=> 3/10 = 3:10Conclusion:
Therefore, our simplified ratio is 3:10.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HELP ASAP WITH#4
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Please show work
Answer:
70
Step-by-step explanation:
the least common multiple of 10 and 14 will be the answer
the prime factorization of 10 is 2 and 5
the prime factorization of 14 is 2 and 7
so you can multiply the number in common, 2, by the ones not common, 5 and 7
2 x 5 x 7 = 70
If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.
Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving
Is the answer 8? If so, what is the unit?
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0
Answer:
M = -3/2
C = 1/2
Explanation:
3 x + 2 y − 1 = 0
-> 2y = 1-3x
y=-3/2x+1/2
so M = -3/2 and C = 1/2
5^2 + (6.7 - 3.1)
plz help
We begin by calculating the expression inside the parentheses
[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]Simplify exponents and square roots
[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7
Answer:
4
Step-by-step explanation:
f(x)=3x+2-4
f(2)=3(2)+2-4
f(2)=6+2-4
f(2)=8-4
f(2)=4
Could somebody please help with this math?
Answer:
87
Step-by-step explanation:
the slope is very easy you can solve it in easy way all you have to do is give me your phone
Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)
Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11
Answer:
-5 = 2x + 11
Step-by-step explanation:
3x - 5 = 5x + 11
→ Minus 5x from both sides
-2x - 5 = 11
→ Add 5 to both sides
-2x = 16
→ Divide both sides by -2
x = -8
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.
The margin of error of the random selection is 0.20
The given parameters are:
[tex]n = 420[/tex] --- the sample size
[tex]\sigma = 1.6[/tex] --- the standard deviation
[tex]\bar x = 10[/tex] --- the mean
[tex]\alpha = 99\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]
[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]
[tex]E = 2.576 \times \sqrt{0.006095}[/tex]
Take square roots
[tex]E = 2.576 \times 0.0781[/tex]
Multiply
[tex]E = 0.2012[/tex]
Approximate
[tex]E = 0.20[/tex]
Hence, the margin of error is 0.20
Read more about margin of error at:
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5 ex to the power of 2. minus 36 ex. + 36. = 0
Answer:
The answer is x=6
You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?
what’s the distance between 4 and 20
Answer:
16
Step-by-step explanation:
The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)
I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x
A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)
Answer: B
Step-by-step explanation:
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
How do I solve this triangle?
Answer:
check the length and the angles and check the height of it
HELP PLEASE!!!!!!!!!
Answer:
-1/4
Step-by-step explanation:
please mark brainliest
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answer:
20.
Step-by-step explanation:
We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:
4/10=x/50.
Cross-multiplying, we have 200 = 10x, and x = 20.
HELP ME PLEASEEEE I NEED ITT !
Answer:
p=12
Step-by-step explanation:
a=l×b
a=219.6
l=18.3
b=?
219.6=18.3×b
Divide both sides by 18.3
And therefore b=12 yards
Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33
Step-by-step explanation:
The first inequality has solution
4p > -8 . . . . . . subtract 1
p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.
Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
a number line with open circles at negative 2 and 5 with shading in between
hope that help mark me brinilylist