Answer:
-7
Step-by-step explanation:
Find the volume of the cylinder. Use 3.14 as π.
Make x the subject of h = 4(x + 3y )+ 2
Answer:
x =h-12y-2/4Step-by-step explanation:
h = 4x +12y +2
h-12y-2=4x
thus x = h - 12y - 2 / 4(Select all that are correct) which statements describe key features of function g if g(x) = f(x + 2)
a. y-intercept at (0,4)
b. domain of {x|-♾️< x <♾️}
c. horizontal asymptote of y = 0
d. horizontal asymptote of y=2
e. y-intercept at (0,1)
Answer:
Y-intercept (0,1) / Domain (-infinite,infinite) / horizontal asymptote y=0
The y-intercept is: (0,1)
The domain is [tex]\{x|-\infty < x < \infty\}[/tex]
The horizontal asymptote is [tex]y = 0[/tex]
The given parameters from the complete question are:
[tex]f(x) = 2^{x-2}[/tex]
[tex]g(x) = f(x + 2)[/tex]
First, we calculate the function of g(x)
[tex]g(x) = f(x + 2)[/tex]
Calculate f(x + 2)
[tex]f(x) = 2^{x-2}[/tex]
[tex]f(x + 2) = 2^{x+2-2}[/tex]
[tex]f(x + 2) = 2^x[/tex]
So:
[tex]g(x) = 2^x[/tex]
Start by calculating the y intercept:
This means, we calculate the g(x) when [tex]x=0[/tex]
[tex]g(x) = 2^x[/tex]
[tex]g(0) = 2^0[/tex]
[tex]g(0) =1[/tex]
The above computation means (a) is incorrect; but (e) is correct.
Next, calculate the domain of g(x)
[tex]g(x) = 2^x[/tex]
Some features in a function that limit the x values are: roots, fractions, etc.
[tex]g(x) = 2^x[/tex] does not have any restricting value of x.
This means the value of x ranges from negative infinity to positive infinity.
Hence, the domain is: [tex](-\infty,\infty)[/tex]
The above computation means (b) is correct
Next, calculate the horizontal asymptote.
To do this, we plot the graph of g(x) --> see attachment
Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.
From the attached graph of g(x), the line touches the y-axis at [tex]y = 0[/tex]
So, the horizontal asymptote is: [tex]y = 0[/tex]
Read more at:
https://brainly.com/question/8120140
T is 375 miles from San Francisco to Los Angeles. On a map of California, the scale shows that 2 centimeters equals 10 actual miles. How far apart on the map are the two cities?
Answer:
75 cm
Step-by-step explanation:
the ratio of centimeter to miles is 2:10 or 1:5 (1 cm = 5 mi)
this ratio can be changed to a fraction (1/5)
so now we can set up this equation:
(1/5) = (x/375)
where x = cm on the map
if it makes it easier to understand:
(1cm/5mi) = (xcm/375mi)
now we solve for x:
375(1/5) = x
x = 375/5
x = 75 cm
Please help me with this please
Answer: The second to last option I think
Step-by-step explanation:
Answer:i think its the The second
Step-by-step explanation: so look 2x6=12 and 4x2=8 so the snswers are on the right and the question is on the left holpfuly that helps
Is this relationship proportional?
Carrots (lb)
2 | 3 | 4
Number of carrots
23 | 33 | 43
Answer:
4
Step-by-step explanation:
The area of a rectangular door is 21 ft. Sq. The border around the door is 20 feet. What is the length and width of the door? Use the factors of 21 to help you find the area of the door first.
Answer:
Length = 7 feet, and width is 3 feet.
Step-by-step explanation:
For the given rectangular door,
area = length x width
21 = length x width ................. 1
Also,
perimeter = 2 ( length + width)
20 = 2 ( length + width)
10 = length + width ............ 1
Given that the factors of 21 are required to get the are of the door.
Then, from equation 1;
21 = 7 x 3
And from equation 2;
10 = 7 + 3
So that, the length of the door is 7 feet and its width is 3 feet.
What is the pattern?
1, 4, 2, 8, 4, 16, 8, 32, ... _____
Answer:
multiply by 4 divide by 2
Step-by-step explanation:
Answer:
The pattern is multiply by 4 then divide by 2.
Step-by-step explanation:
1, 4, 2, 8, 4, 16, 8, 32, 16, 64, 32, 128... So on, So on
They are multiplying by 4 then dividing by 2, multiply by 4, divide by 2... so on, so on
On a recent test, you were given the table displayed and
asked to write the rule that models it.
What should the rule be for the table?
O Subtract 6 from the x value to get the y value.
O Multiply the x value by 1/2 to get the y value.
O Multiply the x value by 1/4 to get the y value.
O Add 6 to the value to get the y value.
9514 1404 393
Answer:
A. Subtract 6 from the x value to get the y value.
Step-by-step explanation:
Sometimes, it works well to simply try the answers to see what works. Sometimes, it works better to use a point other than the first or second.
Using the last point (x, y) = (16, 10), we can try the rules:
subtract 6 from x: 16 -6 = 10 . . . this rule works
multiply by 1/2: 16×1/2 = 8, not 10 . . . doesn't work
multiply by 1/4: 16×1/4 = 4, not 10 . . . doesn't work
add 6 to x: 16 +6 = 22, not 10 . . . doesn't work
The only rule that works is ...
Subtract 6 from the x value to get the y value.
_____
Additional comments
You cannot always assume the table represents a linear function. In this case, all of the answer choices are linear functions, so that is a reasonable assumption. The x-values all have the same difference: 4. The y-values also all have the same difference: 4. So the slope of the line is 4/4 = 1, which tells you right away that "multiply by 1/2" and "multiply by 1/4" will be wrong.
The x-values are all greater than the y-values, so "add 6 to the x value" will not be correct. Since the slope is 1, the difference between x and y will be a constant, easily found from any table entry.
y = x + b . . . . equation of a line with a slope of 1
2 = 8 + b . . . . using the first table entry
-6 = b . . . . . . . subtract 8
Then ...
y = x - 6
Answer:
summing up what the other person said,
its a, i also did this on edge 2021,
so i can confirm:).
The price of a technology stock was $9.61 yesterday. Today, the price rose to $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent. % Х $ ?
Answer:
-1.31979695431% Round to nearest tenth its 1.3%
Step-by-step explanation:
Nico y Manuel llevaron sus taps a la escuela para jugar a la hora de recreo. Nico coloco sus 7 taps en el piso y guardo los demás en una bolsa ¿cuantos taps podría tener Manuel en la bolsa
Answer:
7 o más
Step-by-step explanation:
lógicamente, si el juego necesitaba 7 taps para jugar y Nico tiene más de 7 taps, entonces Miguel también debería tener 7 o más taps en su bolsa.
Please help me? Solve for x
Answer:
3
Step-by-step explanation:
15x
15
the 15 cancels out then you have
15/5 which is 3
state the common difference for the given A.P.3/2,1/2,-1/2,-3/2,......
Answer:
-1
Step-by-step explanation:
The common difference is the constant amount of change between the numbers in an arithmetic sequence.
To find the common difference, you take the last term and subtract it by the previous term.
[tex]\frac{-3}{2} - \frac{-1}{2} =-1[/tex]
At which plant is the cost lowest for producing 5 radios?
Answer:
plant c is the answer to your question
Help plz nd thank you
(true or false questions)
1.) -19-2+54<12x97+-40
2.) x+1=1+x
A printer can print 12 color pages in 3 minutes.
How many color pages can the printer print in 9
minutes?
Answer:
36
Step-by-step explanation:
12/3 = 4 pages per minute
4*9 = 36
Answer:
36
Step-by-step explanation:
12*3=36
6. Write the equation of the line in slope-intercept form given the following:
Point (-4,-4) and Slope of
5/4
Answer:
[tex]y=\dfrac{5}{4}x+1[/tex]
Step-by-step explanation:
Slope intercept form a equation of a line is given by the following formula:
Slope intercept form:
[tex]y=mx+c[/tex]
Given that, a point is (-4,-4)
i.e.
[tex]x=-4,\\y=-4[/tex]
Slope, [tex]m =\frac{5}{4}[/tex]
Putting the given values in the Slope intercept form equation:
[tex]-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1[/tex]
Putting the value of [tex]c[/tex] and [tex]m[/tex] in the slope intercept form:
[tex]y=\dfrac{5}{4}x+1[/tex]
The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the
other solution to the equation f(x) = 0 ?
Answer:
Option (C)
Step-by-step explanation:
Conjugate root theorem:
If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.
By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).
Therefore, x = (3 + 2i) will be the other root.
Option (C) will be the answer.
need help asap with these
Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the length of side FE? A 12 D 4 E B F 33?
Answer:
EF = 11
Step-by-step explanation:
AD/DE = 3
Therefore, DC/3 = EF
33/3 = 11
f(x)=3x+12 and g(x)=4x-8 find h(x)=f(x)+g
A sign on the road says: "Speed limit, 60 miles per hour."Let s be the speed of a car. Write an inequality that matches the information on the sign .Could 60 be a value of s? Explain your reasoning.
Answer:
s ≤ 60 mphStep-by-step explanation:
Speed limit is given in order not to exceed it
Therefore the equation would be:
s ≤ 60 mphs = 60 is allowed as per the equation, since you are not exceeding this speed. As per the rule, s = 60 mph is the maximum speed at which the vehicle is permitted to travel.
Answer:
Step-by-step explanation: h
The value of x + x(xx) when x = 2 is:
Answer:
10
Step-by-step explanation:
X+x(xx)
X+x(x^2)
X+x^3
2+2^3
10
Answer:
10.
Step-by-step explanation:
2 + 2 x (2x2)
= 2 + 2 x 4
= 2 + 8
= 10
Hope that helped, :)
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
A
22
12
B
angle angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B
16
С
Answer:
B. A. C. are the angle
Step-by-step explanation:
B is an acute angle a is a slightly bigger acute angle and c is a right angle. this was by me just looking at it so...
Answer:
angle AC= 12, angle CB= 16, angle BA= 22
Step-by-step explanation:
the numbers are between the angles
If anyone plays pokemon go if you do put it in your answer
Answer:
I play Pokemon Go everyday! I play Pokemon Gooooo :)
Step-by-step explanation:
Answer: My teacher does
Graph the line 2y-6x+4=0 on Tell me the slope and y-intercept
sloper
y intercept=
Blank 1:
Blank 2:
Answer:
Slope: 3
Y-intercept: (0, -2)
Step-by-step explanation:
Lisa wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
a. Domain:
b. Range
(Sorry I keep asking so many questions it’s because these questions are questions of things I have NEVER learned at all yet and it is a new module. When people explain and show me the work I write them in my book with the explanations as well when people put them down and that is how I start to learn this ahead of time.)
Answer:
Domain: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: x≥0.
Range: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: y≥0.
The domain and range of the function shown is
domain [tex]x\geq 0[/tex]
range [tex]y\geq 0[/tex]
Given :
The graph of the area of a rectangle changes with the length if it’s width is fixed
We need to find out the domain and range from the given graph
Domain is the set of x values on the graph
We can say the graph starts at x=0 and it goes up to infinity
So, domain is [tex]x\geq 0[/tex]
Range is the set of y values for which the function defined
Range is the set of y values on graph
When we look at y values , the graph starts at y=0 and it goes up to infinity
So, range is [tex]y\geq 0[/tex]
Learn more : brainly.com/question/17013026
how do I evaluate cos 4π/3?
Answer:
-1/2
Step-by-step explanation:
cos (4π/3)= cos (π+π/3)
Answer:
Step-by-step explanation:
[tex]cos (\frac{4 \pi }{3} )=cos (\pi +\frac{\pi }{3} )=-cos (\frac{\pi }{3} )=-\frac{1}{2}[/tex]
A pilot takes a taxi from the airport and the hotel. The taxi driver charges a $2.50 fee plus $2.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles on the trip.
Answer:
2.50 + 2.65x = y
Step-by-step explanation:
The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y
Answer:
Step-by-step explanation: if the 2.50 is staying the same, then the answer is y=2.50x + 2.65
Una recta que pasa por los puntos A (2,1) y B (6,3) y otra recta pasa por A y por el punto (0,y) ¿Cuánto vale y, si ambas rectas son perpendiculares?
The translation of the question given is
A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?
Answer:
y = 5
Step-by-step explanation:
Line 1 that passes through A (2,1) and B (6,3)
Slope (m1) = 3-1/6-2 = 2/4 = 1/2
y - 1 = [tex]\frac{1}{2}[/tex] ( x -2)
2y - 2 = x- 2
y = [tex]\frac{x}{2}[/tex]
Line 2 passes through A (2,1) and (0,y)
slope (m2) =[tex]\frac{y-1}{-2}[/tex]
Line 1 and Line 2 are perpendicular
m1*m2 = -1
[tex]\frac{1}{2}[/tex] * [tex]\frac{y-1}{-2}[/tex] = -1
y-1 = 4
y = 5
slope = -2
Equation of Line 2
Y-1 = -2(x-2)
y -1 = -2x +4
2x +y = 5