Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
There are 2200 students in a school. 52.5% of them are male. How many are female?
___________________________________
Total number of students=2200
Total percent of male=52.5%
Total percent of female=100%-52.5%
=47.5%
Total number of female= 47.5% of 2200
=47.5/100*2200
=1045
So the total number of female is 1045
hope it helps
Good luck on your assignment
________________________________
Answer:
[tex]1045[/tex]
Step-by-step explanation:
[tex]no. \: \: of \: \: students = 2200[/tex]
First let's find the percentage of female.
[tex]100\% - 52.5\% = 47.5\%[/tex]
So now let's find how many female students are there in the class
[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone plzz help me on thiss!
Answer:
A
Step-by-step explanation:
because it goes up constantly by 12
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answer:
I think it is option C, 3-4x
The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?
A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power
Answer:
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
Step-by-step explanation:
In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,
[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]
The ratio is given by the Sun's diameter divided by the Earth's, as shown below:
[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior
Answer:
∠DHGStep-by-step explanation:
Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.
Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.
Therefore, the right answer is ∠DHG.
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
It’s not 17 or 1.8 I have tried and those are wrong
Answer: 122 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.
Replacing with the values given:
Tan 7 = 15/x
x = 15/tan 7
x = 122 ft
Feel free to ask for more if needed or if you did not understand something.
Having trouble with this? Can someone explain this to me please?
Answer:
D
Step-by-step explanation:
D is the correct ratio. If his heart beats 12 times in 10 seconds, then it will beat 72 times in 60 seconds/1 minute if you use the proportion. D is the only correct ratio because it shows 72 beats:1 minute.
D = -3/2
-D = ?
What does -D equal?
Answer:
Negative
Step-by-step explanation:
D has the exact same value but
this time it the other way so your answer
should be -D = 3/2
14. Compare the graph below to the function
Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = [tex]\sqrt{x}[/tex]
When translated by 3 units left,
f(x + 3) = [tex]\sqrt{(x+3)}[/tex]
g(x) = [tex]\sqrt{(x+3)}[/tex]
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = [tex]k\sqrt{(x+3)}[/tex]
Since a point (1, 4) passes lies on the transformed function.
g'(1) = [tex]k\sqrt{(1+3)}[/tex]
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?
Answer:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
201.92×3
Step-by-step explanation:
Answer:
Anwser is (B)
Step-by-step explanation:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
Find the value of T when T = 2U + 4V when U = 4 and V = -5
Please help
________________________________
Hey!!!
Solution,
U=4
V=-5
Now,
T=2U+4V
=2*4+4*(-5)
=8+(-20)
=8-20
=-12
So the value of T is -12.
hope it helps
Good luck on your assignment
_____________________________
Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.
Answer:
105= 7x or 7x=105 x=15
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
For this graph, Mark the statements that are true.
If AB = 10, BD = 5, and DE= 12, what is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
In the picture attached, the missing triangles are shown:
Data
AB = 10BD = 5DE= 12Then, AD = 10-5 = 5As a consequence of the "Side Splitter" Theorem:
AD/DE = AB/BC
Replacing with data and solving for BC
5/12 = 10/BC
BC = 10*12/5 = 24
The length of BC is 8 units.
The given figure is image 1.
From the image: AD = AB + BD = 10 + 5 = 15.
From the image triangle ABC and ADE are similar.
So their sides will be in the same ratio.
[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]
Learn more: https://brainly.com/question/13769924
In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?
plz help me
Answer:
(1-20%)x or (1-0.2)x or x-0.2x
Step-by-step explanation:
Help please fast please
Answer:
<
Step-by-step explanation:
89835000000*10^-7 = 8983.5
8.9835*10^5= 898350
8983.5 < 898350
Answer:
<
Step-by-step explanation:
Simplify each of the numbers
89835000000 x 10^-7 = 8983.5
8.9835 x 10^5 = 89835
89835000000 x 10^-7 < 8.9835 x 10^5
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
Answer:
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2
Step-by-step explanation:
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
can somebody explain an easier way to do it
Answer:
4 to 1
Step-by-step explanation:
For herself alone, she uses a ratio of
8 tablespoons of cocoa to 2 tablespoons of sugar
The ratio is
8 to 2
We divide both numbers by 2 to get the simplified ratio
4 to 1
For two, she doubles the recipe, so she uses the ratio
16 tablespoons of cocoa to 4 tablespoons of sugar
The ratio is
16 to 4
We divide both numbers by 4 to get the simplified ratio
4 to 1
Which of the following best describes the figure?
Answer:
a concave polygon
Step-by-step explanation:
It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.
Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ5
Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
Martha types a 4−digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly two 1's? Enter your answer as a simplified fraction.
The probability of getting two 1's is_________.
Answer:
3/8
Step-by-step explanation:
1. We list all codes that start with 0 and have 0 as second digit:
2. We list all codes that start with 0 and have 1 as second digit:
3. We list all codes that start with 1 and have 0 as second digit:
4. We list all codes that start with 1 and have 1 as second digit:
5. We find the number of codes which have exactly 2 zeros: 6 codes
6. The total number of outcomes is: 16 codes
7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8
Answer:
The probability of getting two 1's is 3/8
Step-by-step explanation:
Martha types a 4−digit code into a keypad to unlock her car doors.
The code uses the numbers 1 and 0
So the sample space of all the possible combinations is given by
1. 0 0 0 0
2. 0 0 0 1
3. 0 0 1 0
4. 0 0 1 1
5. 0 1 0 0
6. 0 1 0 1
7. 0 1 1 0
8. 0 1 1 1
9. 1 0 0 0
10. 1 0 0 1
11. 1 0 1 0
12. 1 0 1 1
13. 1 1 0 0
14. 1 1 0 1
15. 1 1 1 0
16. 1 1 1 1
So there are total 16 possible outcomes.
Now count the number of combinations that has exactly two 1's
4. 0 0 1 1
6. 0 1 0 1
7. 0 1 1 0
10. 1 0 0 1
11. 1 0 1 0
13. 1 1 0 0
So there are 6 possible outcomes with exactly two 1's
The required probability is
P(two 1's) = Number of outcomes with two 1's/Total number of outcomes
P(two 1's) = 6/16
P(two 1's) = 3/8
Therefore, the probability of getting two 1's is 3/8
four men working together can create a trench in 42 days. they begin the job but one man works only half days. How long will it take to complete the trench?
Answer:
48 days
Step-by-step explanation:
Four men working together can create a trench in 42 days.
Find the number of man-days to complete the job
4*42 = 168 man-days
They begin, but one man works only half-days.
How long will it take to complete the job?
Let d = no. days to complete the trench
d(3 + 0.5) = 168
d(3.5)=168
3.5d = 168
d = 168/3.5
d = 48 days
Can someone help me ASAP
Answer:
36 ft.
Step-by-step explanation:
Use the Pythagoras Theorem.
h^2 = 10^2 + 24^2
h^2 = 676
h = √676
h = 26 ft.
Original height = 10+26 = 36 ft.
Answer:
D. 36 ftStep-by-step explanation:
the TRee form with the ground a right triangle
let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:
now ,using the Pythagorean theorem we get :
upper part = √(10²+24²)
= 26
then
the original height of the tree
= 10 + 26
= 36 ft
HELP PLEASE!!! I don't have a lot of time, please help!!!
Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
Step-by-step explanation:
It is a function, since each student gets only one score one final exam,]
Domain is each student,
the first to last
Range is the score each student got:
(however the scoring was made)
f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.
Answer:
The domain of f is 'the students in Mr. Well's history class'
The range of f is 'the final exam scores'
f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'
If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x
Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
therefore answer is (1,-2)
Can you help me please!!✌✌
Answer:
15 dogs
12 cats
Step-by-step explanation:
Let's call the number of cats c, and the number of dogs d.
4d=5c
c+d=27
4c+4d=108
4c+5c=108
9c=108
c=12
d=27-12=15
Hope this helps!
Answer:
15 dogs and 12 cats
Step-by-step explanation:
You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.
4:5 (*3)
12:15
