Answer:
answer is will be A(x) is linear, but P (x) is not
The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).
For the function -
P(x) = 2[(f + g)(x)]
We can see that two linear functions are added. So the resulting function will be a linear function.
and
For the function -
A(x) = (f º g)(x)
We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.
Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
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A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
I’ll give points + brainalist please help!!
Step-by-step explanation:
x+6+90+3x-4=180 - - > x=22
So, the angle is 22+6=28°
Please help
Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]
Answer:
the answer is 2,-1 please mark me brainless thank you
Answer:
The answer would be (2,-1)
Step-by-step explanation:
Fill in 2 and then -1
x/8.5=16/4
what's the answer
help me please!!!!! and thank you!
Answer:
After 5 minutes, the submarine is at 240 ft below sea level.
Step-by-step explanation:
-300 + 16z
After 5 minutes, z = 5.
-300 + 16(5) = -300 + 80 = -240
After 5 minutes, the submarine is at 240 ft below sea level.
Which side lengths form a right triangle?
If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?
Answer:
11.5
Step-by-step explanation:
x=8 & y=23
then
x=4 is half so you divide by 2
so half of 23 would be 11.5. If you are rounding then it would be 12
kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week
Answer:
after 35 hours she makes 11.75 an hour
Step-by-step explanation:
How many 5/6 s are in 3?
Step-by-step explanation:
If we think over it, we could recognise that this question is like
How many 3's are in 6?
Probably the answer is
2
, as
6
÷
3
=
2
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Answer:
3/(5/6)
Step-by-step explanation:
multiply the numerator and denominator by 6
18/5
(MATH) (6) ((PHOTO))
label is yd
Answer:
L = 8yd
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
L×5¾yd×2½yd = 115 yd³
14⅜L = 115
L = 115 ÷ 14⅜
L= 8
a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces
Step-by-step explanation:
length of 1st piece = x inch
length of 2nd piece = 3x inch
length of 3rd piece = 4x inch
x + 3x + 4x = 56
8x = 56
x = 7
Thus,
length of 1st piece = 7 inch
length of 2nd piece = 3 × 7 = 21 inch
length of 3rd piece = 4 × 7 = 28 inch
Ernesto is deep-sea diving with two friends. Alexandra is floating on the surface 6 meters
above Emesto, and Krysta is exploring a coral reef 7 meters in front of Ernesto. How far apart
are Alexandra and Krysta? If necessary, round to the nearest tenth.
Answer:
Use the Pythagorean theorem. The answer should be 3.61.
Step-by-step explanation:
what its 1010 + 800 pls help
Answer:
1,810 hope this helps ;)
Answer:
1810
Step-by-step explanation:
lol, did I get trolled?
PLS HELP DUE SOON!!!
Answer:
its both.
Step-by-step explanation:
RNA and DNA are made up of nucleotide(s).
Answer: Both DNA and RNA
Step-by-step explanation:
First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1184 registered. Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer.
Answer:
The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".
Step-by-step explanation:
Given:
[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]
The sample proportion is computed by subtracting that sample size by both the successes:
[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]
Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]
add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):
So, the boundaries of the confidence interval:
[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]
Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=
Answer:
(0.2, 3.2)
Step-by-step explanation:
line A, in red, has equation y=x+3 times 3 3y=3x+9
line B, in blue, has equation 2x+ 3y = 10
-3x + 3y = 9 subtract thes two equations
(2x - -3x) + (3y -3y) = 10 - 9
5x + 0y = 1
5x = 1
x = 1/5 or 0.2
y = x + 3
y = 0.2 + 3
y = 3.2
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
A company bought 7 machines. Each machine weighs 642.4 pounds. How many pounds do the 7 machines weigh altogether?
Answer:
4496.8 pounds
multiply 642.4by7
write the following rational numbers in their lowest terms:
1. 24/192
2. 12/168
3. 21/49
Answer:
The Answer is gonna be 1. 24/192
Answer:
24/192 = 1/8
12/168 = 1/14
21/49 = 3/7
Step-by-step explanation:
Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Answer:
x ≈ -0.14
Step-by-step explanation:
6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
21x + 30 = 27
21x = -3
x = [tex]\frac{-3}{21}[/tex]
x = [tex]-\frac{1}{7}[/tex]
x ≈ -0.14
The scatter plot shows the number of hours worked and money spent on entertainment by each of 24 students. Also shown is the line of best fit for the data. Fill in the blanks below.
The given scatter plot has a positive correlation.
Given that, the scatter plot shows the number of hours worked and money spent on entertainment by every 24 students.
What are scatter plots?A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the coordinate axes to plot the points, based on their values. The following scatter plot excel data for age (of the child in years) and height (of the child in feet) can be represented as a scatter plot.
A positive correlation—when the correlation coefficient is greater than 0 signifies that both variables move in the same direction.
The blanks for the given questions are filled below:
a) increase
b) strong positive
c) $22.50
Therefore, the given scatter plot has a positive correlation.
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I will give you Brainliest and 500 points if you do this
What is the volume to the nearest tenth?
Answer:
34.4 yds3
Step-by-step explanation:
tuve la misma pregunta hoy
Question 1 of 10
Using the graph below, select all statements that are true.
.
+10
O A. (5.1) = 5
OB. This graph is one-to-one.
C. f(0.6) = 0
D. This is the graph of the greatest integer function,
E. (-3.2) = -3
SUBMIT
Answer:
the answer is going to be b
Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Answer:
She talked for 138 minutes
Step-by-step explanation:
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answer:
5 m/s
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
The mark up on an item is $3.75. If the mark up is 35%, what was the original price? Round
your answer to the nearest hundredth. (Show all work)
Answer:
$10.71
Step-by-step explanation:
[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]
y × 35 = 3.75 × 100
35y = 375
35y ÷ 35 = 375 ÷ 35
[tex]y=10\frac{5}{7}[/tex]
y = 10.7142857143
10.7142857143 round to 10.71
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
