Answer:
0
Step-by-step explanation:
When you substitute x=1 for f(1),
you get f(1)=0
and the absolute value of 0 is 0.
hope I answered it correct.
please give brainliest, thanks!
Find the domain and range of the function y = √x-3 + 6
Answer:
Domain: [tex][3,\infty)[/tex]
Range: [tex][6,\infty)[/tex]
Step-by-step explanation:
I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?
Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.
Therefore, the domain of the function is [tex][3,\infty)[/tex]
As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.
Therefore, the range of the function is [tex][6,\infty)[/tex]
See attached graph below for a visual.
Solve 3|x - 61 = 12.
Find the slope of a line perpendicular to the line 3x – 2y = 5.
Answer:
2/3
Step-by-step explanation:
to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format
The slope intercept form of a liner equation is:
Y = mx + b
Where m is slope and b is the y - intercept value.
solving the equation in the problem for y produces :
3x - 3x + 2y = -3x - 5
0 + 2y = 3x - 5
2y = - 3x - 5
2y = -3x - 5
2 2
y = - 3 x - 5
2. 2
Therefore the slope of this line is m = - 3
2
the slope of perpendicular line is the negative inverse of the slope of the line we are given,or
- 1
m
so for our problem the slope of a perpendicular line is - - 2 = 2
3. 3
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let
[tex]A \to Amount[/tex]
[tex]t \to time[/tex]
Given
[tex]A(0) = 200[/tex] --- initial
[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes
Required
[tex]A(10)[/tex] --- amount left after 5 minutes
To do this, we make use of:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(5) = 160[/tex] implies that:
[tex]160 = 200 * e^{k*5}[/tex]
Divide both sides by 200
[tex]0.80 = e^{k*5}[/tex]
Take natural logarithm of both sides
[tex]\ln(0.80) = \ln(e^{k*5})[/tex]
[tex]\ln(0.80) = \ln(e^{5k})[/tex]
[tex]\ln(0.80) = 5k\ln(e)[/tex]
So, we have:
[tex]-0.223 = 5k[/tex]
Divide by 5
[tex]k = -0.045[/tex]
So, the function is:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(t) = 200 * e^{-0.045t}[/tex]
The amount after 10 minutes is:
[tex]A(10) = 200 * e^{-0.045*10}[/tex]
[tex]A(10) = 200 * e^{-0.45}[/tex]
[tex]A(10) = 127.53[/tex]
What’s the function of f(x)=-2/3x -7 ?
Answer:
F(x) = -1/3 x^2 - 7x + C
types of circle geometry concepts
Answer:
Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.
4x(a-b)+3(b-a) factorise
Answer:
-(a-b) (3-4x). hope this helps
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.
Can someone help me find the equivalent expressions to the picture below? I’m having trouble
Answer:
Options (1), (2), (3) and (7)
Step-by-step explanation:
Given expression is [tex]\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}[/tex].
Now we will solve this expression with the help of law of exponents.
[tex]\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}[/tex]
[tex]=\frac{\sqrt[3]{2\times 3} }{3\times2^{\frac{1}{9}}}[/tex]
[tex]=\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3\times 2^{\frac{1}{9}}}[/tex]
[tex]=2^{\frac{1}{3}}\times 3^{\frac{1}{3}}\times 2^{-\frac{1}{9}}\times 3^{-1}[/tex]
[tex]=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}[/tex]
[tex]=2^{\frac{3-1}{9}}\times 3^{\frac{1-3}{3}}[/tex]
[tex]=2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }[/tex] [Option 2]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2[/tex] [Option 1]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2[/tex]
[tex]=(2^2)^{\frac{1}{9}}\times (3^2)^{-\frac{1}{3} }[/tex]
[tex]=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }[/tex] [Option 3]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }[/tex]
[tex]=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}[/tex] [Option 7]
Therefore, Options (1), (2), (3) and (7) are the correct options.
can someone help me please?! I'll give brainlest for correct answer
1.) The answers:
A) BME
B) MER
C) Mm
D) xBy
E) Straight
F) REB
G) MEB and BER
H) xBy
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!! PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ 20 Xp
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer: The answer is C.
Step-by-step explanation:
It is definitely not B because the average of the numbers compared to what that shows don't make sense.
The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.
Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.
I hope I was able to help!
Good luck and have a great day :)
4 is a common factor of 28 and 32.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
Answer:
Your answer is B
Step-by-step explanation:
What is the solution to this system of equations?
Answer:
the equation has no solution
The average car depreciates at a rate of 14% per year.
Mr. Wixted wants to buy a new sports car for $30,048.
At this rate of depreciation, what will the car be worth in 5 years?
Round your answer to the nearest hundredth.
PLZ HELP | apply the distributive property to create an equivalent expression
1/4(6e−3f−3/4)
Answer: [tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Step-by-step explanation: Everything in the parenthesis has to be multiplied by one fourth so we can do something like this: [tex](\frac{1}{4} )(6e)-(\frac{1}{4} )(3f)-(\frac{1}{4} )((\frac{3}{4} )[/tex]
That's distrubiting the one fourth into all of them
Now we simplify
[tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8
Solve the inequality −14z<−37, and write the solution in interval notation.
Answer:
z is greater than 27/14
z € ( 37/14 ∞)
Please help answer these math riddles
Answer:
Challenge B is 1.827
Step-by-step explanation:
I need more letters to submit this.
2x^2=50 solve the equation algebraically?
Name two numbers that are 14 units from 2 on the number line
Answer:
12 and 12.5
Step-by-step explanation:
Whats the answer please help
Answer: d
Step-by-step explanation:
Help me please if you can't don't touch it
Answer:
The correct answer is A
Step-by-step explanation:
HELPPP QUICK PLSS I WOULD REALLY APPRECIATE IT
Answer:
The colder it is, the more cups of hot chocolate will be sold.
Step-by-step explanation:
When it was 15 degrees Fahrenheit, 80 cups of hot chocolate were sold. When it was a 90 degree summer day, only 4 cups of hot chocolate were sold.
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)
1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches
===========================================================
Explanation:
Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.
Effectively, this is the same as using the formula below
S = 6x^2
S = 6*5^2
S = 6*5*5
S = 150
x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
What is the population being studied in each of the four years?
a. college educated individuals
b. college educated individuals aged 25-29
c. individuals aged 25-29
d. employed individuals aged 25-29
e. employed individuals
Answer:
d. employed individuals aged 25-29
Step-by-step explanation:
"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.
It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.
The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.
Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.
Construct a data set that has the given statistics.
n = 7
x = 12
S = 0
Answer:
The desired data-set is: {12,12,12,12,12,12,12}
Step-by-step explanation:
n = 7
Data set of 7 elements.
x = 12
Mean of 12
S = 0
Standard deviation of 0.
Desired data-set:
Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.
The desired data-set is: {12,12,12,12,12,12,12}
If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast
slove the system of linear equations by graphing.
-x+y=3
x+y= -3
Answer: it is a linear line
Step-by-step explanation:
They both together make 0
Plz help i need a correct answer
Answer:-244
Step-by-step explanation:
I think you subtract -290 from -46.
Sorry If I am wrong.
========================================================
Explanation:
Imagine reflecting everything so that location A is above location B. Effectively all you're doing is erasing the negative signs.
That would place A at 290 feet and B would be at 46 feet. The difference in elevation is 290-46 = 244 feet
Instead of reflecting, you can turn the page upside down and just ignore the negative signs, and then subtract like normal.
This trick only works if both elevations A and B are below sea level.
--------
Or you could subtract like so:
|A-B| = |-290-(-46)| = |-290+46| = |-244| = 244
The absolute value is used to ensure the result is not negative. A negative difference makes no sense. In this case, "difference" and "distance" mean the same thing more or less.
Additional Activities
Directions: Use a non-standard unit of the same material and
size. Which unit will give the greater number for the volume of the
container using ping-pong balls and monggo seeds? Visualize the
volume of each box, explain your answer. Write your answers on a
sheet of paper
.
2.
1.
Ping-Pong balls
Monggo seeds
Answer:Ping Pong Balls
Step-by-step explanation: