Answer:
(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)
=4^x +5 -2x +5
=4^x -2x +10
Step-by-step explanation:
. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.
Part A:
A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.
A composite function is created by plugging one function into another.
Part B:
The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.
Part C:
Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.
oof that took a while lol
The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?
Step-by-step explanation:
5:2 add to find total ratios 7
opponents=2/7=38
bigtown=5/7=95
Answer: The big town team scored 95 points.
Step-by-step explanation: Given that the big town football team outscored its opponents 5:2 last season and their opponents scored 38 points.
We are to find the points scored by big town team.
Let 5x and 2x represents the points scored by big town team and their opponents.
Then, according to the given information, we have
2r = 38
r = 38/2
r = 19
Therefore, the points scored by big town team is given by
5 X 19 = 95.
Thus, the big town team scored 95 points.
this is pretty easy
two step equation!!
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
(sint-cost)²=1-sin(2t)
i dont know the way you wan me to solve this but i got 1−2cos(t)sin(t)=1−2sin(t)cos(t)
please help me thanks .
Answer:
3 and 3/4
Step-by-step explanation:
Answer:
121.5 :) hope this helped
PLEASE HELP OUT A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths
Answer:
A) y= -1/4x + 21/16
Step-by-step explanation:
y-1= -1/4(x + (-5/4))
y= -1/4x - 5/4+1
y= -1/4x + 21/16
Answer:
A) y= -1/4x + 21/16
Step-by-step explanation:
y-1= -1/4(x + (-5/4))
y= -1/4x - 5/4+1
y= -1/4x + 21/16
5 stars and a thank you
Answer:
ok
Step-by-step explanation:
Please help I don’t get it
Answer:
the answer is y= 3/4x+2
Step-by-step explanation:
the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx
Y-y1 = m(X-x1)
Y-2 = -3/4 (X-0)
Y-2 = -3/4x
Y = -3/4x + 2
Write the vocabulary word for this definition:
The number of units or spaces away a number is from zero
Answer:
i am not sure but may be ...absolute value
David claims that it's possible to create a segment exactly 5 units in length. Build such a segment, and explain how you know the length is exactly 5 units, or explain why such a segment is impossible.
Answer:
3^2+4^2=5^2
Step-by-step explanation:
shown in the answer
Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)
please help and the question is in the docs
Answer:
sfuc,k u
Step-by-step explanation:
Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)
Answer:
A. y-intercept
B. Both
C. x-intercept
D.Neither
E. x-intercept.
Step-by-step explanation:
A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.
PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15
Answer:
x=0
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
3(2x−5)=−15
Step 1: Simplify both sides of the equation.
3(2x−5)=−15
(3)(2x)+(3)(−5)=−15(Distribute)
6x+−15=−15
6x−15=−15
Step 2: Add 15 to both sides.
6x−15+15=−15+15
6x=0
Step 3: Divide both sides by 6.
6x/6 = 0/6
x=0
Hope this helps :)
Answer:
2x-5= -3x times(x) 3 is -9
Step-by-step explanation:
PEMDAS
Is -51.16 a integer?
Answer:
No
Step-by-step explanation:
An integer is a number that is whole. For example, 1.12 is not an integer, but 14 is.
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
Divide 3/5 by 1/2 as a reduced fraction.
Answer:
You can't divide two fractions together, so you multiply the second fraction by taking its reciprocal.
[tex]\frac{3}{5} * \frac{2}{1} \\\\= \frac{6}{5}[/tex]
If we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].
Given that,
The fraction is [tex]\frac{3}{5}[/tex].And, the other fraction is [tex]\frac{1}{2}[/tex].Now it should be divided to come as a reduced fraction.So, the decreased fraction should be
[tex]= \frac{3}{5} \times \frac{2}{1} \\\\= \frac{6}{5}[/tex]
Therefore we can conclude that if we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].
Learn more about the fraction here: brainly.com/question/6201432
[tex]\sqrt{36}+\sqrt{25}=\sqrt{49}[/tex]
Answer:
good i be able to make it to the meeting tonight but I will be there at television show to the store and get some rest and feel better soon and that is why I am asking
Please help me!! Thank youu
Answer:
6.5x and 3.05x were adding incorrectly.
Step-by-step explanation:
The answer to adding those two numbers would be 9.55x
Answer:
error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x
HELP ME PLEASE ASAP?!
If the pattern below follows the rule "Starting with one, every consecutive line
has a number that is one more than twice the previous line," how many
marbles must be in the sixth line?
A. 63
B. 31
C. 13
D. Need more information
Answer:
It should be A
Step-by-step explanation:
9. Suppose GH = JK. HI = KI and QI = ZL. How can you prove that GHI is congruent to JKL ?
You can use SAS to prove the triangles are congruent.
You can use SSS to prove the triangles are congruent.
You can use SSA to prove the triangles are congruent.
There is not enough information to prove that the triangles are congruent.
Answer:
C. SSSStep-by-step explanation:
Since we are not given any angle measure and three side measure, we can prove these triangles congruent by SSS.
To prove triangle GHI and JKL are congruent, rule SSS is used.
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Different rules of congruency are as follows.
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right angle-Hypotenuse-Side)
Given
Triangles GHI and JKL
GH = JK
HI = KI
QI = ZL
All three sides are equal in both triangles.
By side-side-side theorem,
ΔGHI ≅ΔJKL
Hence, by SSS theorem, it is proved the triangles are congruent.
Learn more about congruent angles here:
https://brainly.com/question/22062407
#SPJ7
A florist charges $25 for a vase plus $4.50 for each flower. The total charge for the vase and flowers is given by the function f(x) = 4.50x + 25. How will the graph change if the vase’s cost is raised to $35? if the charge per flower is lowered to $3.00?
a) The graph change if the vase’s cost is raised to $35 is the line
[tex]y=4.5x+35[/tex]
b)The charge per flower is lowered to $3.00 is the line
[tex]y=3x+25[/tex]
We have given that the function
[tex]f(x) = 4.50x + 25[/tex]
A florist charges $25
Now we have given condition the cost is raised to 35$
We use we use the slope intercept form
What is the slope intercept form?
[tex]y=mx+C[/tex]
y is function f(x) C=vase cost, and m= charge per flower
Therefore we get,
[tex]y=f(x),m=4.50 and c=25[/tex]
we have given condition C=35$
So the line will just move up to have a y-intercept at (0,35) the equation will be,
[tex]y=4.5x+35[/tex]
Therefore,
The graph change if the vase’s cost is raised to $35 is the line
[tex]y=4.5x+35[/tex]
We have given that the charge per flower is lowered to 3$
So the slope
[tex]m=3[/tex]
Here the m value is being changed so your line will just flatten out a bit and the new equation will be
[tex]y=3x+25[/tex]
The charge per flower is lowered to $3.00 is the line
[tex]y=3x+25[/tex]
To learn more about the slope intercept form visit:
https://brainly.com/question/1884491
Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56
Answer:
482.70
Step-by-step explanation:
First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.
Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour
Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.
9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1
Identify the constant of proportionality from the graph.
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. 3
B. 6
O D. 9
Answer:
D
Step-by-step explanation:
9 is the constant of proportionality
Have a great day
HELP ME PLZ <<<<<<<<<<<<<<<<<<<<
Answer:
Yes, Alternate Exterior Angles
Step-by-step explanation:
A testicle cuff is a ring-shaped device around the scrotum between the body and the testicles which when closed does not allow the testicles to slide through it. A common type has two connected cuffs, one around the scrotum and the other around the base of the penis. They are just one of many devices to restrain the male genitalia. A standard padlock, which cannot be removed without its key, may also be locked around the scrotum.
Which fraction is equal to the decimal 0.137?
Answer:
137/1000
Step-by-step explanation:
Answer:
137/1000 also 13.7 percent
Step-by-step explanation:
Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.
Answer:
19
Step-by-step explanation:
152/8
Is y=3x-8 proportional
Step-by-step explanation:
YES! HOP THIS HELPS
WILL GIVE U BRAINLIEST ... how many solutions does this parabola have ??????
Answer:
No solutions
Step-by-step explanation:
This parabola does not touch the x-axis, therefore, there are no solutions.
what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great
Answer:
tytyty
Step-by-step explanation:
