Answer:
Answer=B
(f+g)(x)=-3x-5
Step-by-step explanation:
f(x)=x+8.
g(x)=-4x-3.
(f+g)(x) means f(x)+g(x),So
(x+8)+(-4x-3)
(add all same terms together)
=(x+(-4x))+(8+(-3))
=-3x+5
so,
(f+g)(x)=-3x+5
One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature? One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature?
Answer:
-8 degrees
Step-by-step explanation
Half of negative 16 would be negative 8.
Answer:
-8
Step-by-step explanation:
-16 ÷ 2 = -8
You could also do:
16 ÷ 2 = 8
and then put a negative in front of 8
And to prove it's true,
8 x 2 = 16
-8 x 2 = -16
What is the volume of a cube that measures 3.5 inches on each edge?
72.5 in
35 in?
none of these
42.9 in
Answer:
42.9 in
Step-by-step explanation:
Volume of a cube = side cubed
V = (3.5)^3
V = 42.875
Greta can bike 6 miles in 30 minutes. At that rate, how many miles can she bike in 45 minutes?
Answer: 9 miles
Step-by-step explanation:30 divided by 6 is 5. So the was biking 1 mile every 5 minutes. 45 divided by 5 is 9.
Feet up a ratio for miles over time:
6/30 = x/45
Cross multiply:
30x = 270
Divide both sides by 30:
X = 270/30
X = 9 miles
Select the term that is suggested by the fugure
Answer:
im pretty sure its line segment if
Step-by-step explanation:
if its not im so sorry!!
In the triangle below, what is the length of the side opposite the 60° angle?
Answer:
3
Step-by-step explanation:
Answer:
3 sqrt3
Step-by-step explanation:
AP3X
solving equations 1/2(x+3)=2/5(x+2)
Answer:
x=-7
Step-by-step explanation:
convert to decimals 0.5(x+3)=0.4(x+2)
simplify the brackets 0.5x+1.5=0.4x+0.8
isolate x to one side 0.1x=-1/7
divide both sides by 0.1 x=-7
What is the solution of 4+ V5x+88 – X+
10?
X = -10
X = 3
X = -10 or x = 3
O no solution
Answer: no solution
Step-by-step explanation:
Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answer:
1. Option C2. NeverStep-by-step explanation:
Refer to attached for the table and clearer version of the question
As per table A and B pipes feed the tank and C is the outlet
Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:
T(x) = 100 + a(x) + b(x) - c(x), this is option C.We can calculate when tank is going to be empty:
0 = 100 + 25x + 10x - 30x0 = 5x + 1005x = -100x = -20Since we got negative number, the tank is not going to be empty when all 3 pipes are open.
The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
What is a function?If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function
[tex]f:A \rightarrow B[/tex]
is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.
The connected pairs are then written as:
[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]
Under the function f.
The table shows the input and output of water from pipes A, B, and C.
Pipe A B C
Flow In (gallons/minute) a(x)=25x b(x)=10x
Flow Out (gallons/minute) c(x)=30x
The pipes begin operating simultaneously at noon. Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.
At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.
So, 100, A and B added in the function while C will be subtracted as,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
Thus, the function in option C represents T (x).
Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,
[tex]T(x)=100+25x+10x-30x[/tex]
[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]
This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.
Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
Learn more about the function here;
https://brainly.com/question/13395697
What is 50x50x1x0 =?
What is 0x0 =?
What is 0/0 =?
What is 50x50x1x0 = 0
What is 0x0 = 0
What is 0/0 = it is called undefined and the expression is 00
Answer:
1. 0 2.0 3. impossible
Step-by-step explanation:
1. PEMDAS
50*50=2500
2500*1=2500 idnetification property
2500*0=0 zero property
2. 0*0 =0 zero property
3. 0 can not be a divisor. This leads to the answer being an error
How do you do this question?
Answer:
convergent
Step-by-step explanation:
the function increases or decreases or as the number of terms of the series increases.
Answer:
Divergent
Step-by-step explanation:
The series can be written as:
∑ 1 / (4n − 1)
We can compare this to 1 / (5n). 1 / (5n) is smaller and diverges (p-series test). Therefore, the larger function also diverges.
5 2/5 as a mixed number
Answer:
Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.
Answer:
27/5 I think um I have to fill out the question so ya
why do u not regroup any tens into hundreds? pls i need help
Answer:
You dont regroup any tens into hundreds depended on what Number you have and if your adding and subtracting if you have 375 - 38 then you’ll regroup.
Step-by-step explanation:
the ratio of lily's programing to tina's programing speed is 3:5. lily can write six programs per day. if lily and tina work together to write 240 programs, how many days are needed
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
Need help ASAP please! Simplify these.
Answer:
x³/2
8x³/7
5x²/3
3/4x³
Which number is a factor of 20 but not a multiple of 10
Answer:
4 is a factor of 20 but not a multiple of 10
Follow me welcome.
use point slope form to write an equation of the line with the given slope that passes through the given point.
Answer:
A. y - 0 = 2 ( x + 2 )
Step-by-step explanation:
First you have to isolate y, by using A, the 0 can simply be forgotten about. Next, you must expand the equation, thus with 2 ( x + 2 ), it expands to:
y = 2x + 4
With this in mind, the b value is 4, and with a slope of 2, you can see that the equation eventually crosses the y-axis at 4.
The set of all numbers greater than -1 and less than 0.
Answer:
I would just think that it is 0
Step-by-step explanation:
0 is greater then -1 and it is the exact same thing and not less than 0
Answer:
-0.5
Step-by-step explanation:
<________-1_-0.5_0__1_________>
its greater than -1 and less than 0
Evaluate:
54 - 75 + 81 - (-27) + 53
Answer:
140
Step-by-step explanation:
Answer:
140.
Step-by-step explanation:
PEMDAS.
Since there isn't any problems that aren't adding, we can just do it step by step.
54 - 75.
-21.
Add 81.
60.
Subtract -27.
87.
Add 53.
140.
Brainiest?
The graph and the table show 2 different bicycle riders. Each rider travels at a constant speed. Compare the speeds of the two riders.
Answer:
C
Step-by-step explanation:
Stacey and her friend went to Outback Steakhouse and spent $45. They wanted to leave a 20% tip, because the service was terrific. What was the total cost of the bill with tip?
Answer:
$54
Step-by-step explanation:
20% of $45 is $9. (45 * 2/10)
Add 9 to 45 and you get 54
Please mark brainliest thank you!!
A rectangular garden is 10 2/7 feet by 5 4/9 . What is the area of the garden?
Answer:
50 8/63
Step-by-step explanation:
10*5=50
when multiplying fractions we have to multiply the numerators, then multiply the denominators.
2*4=8
7*9=63
hope this helps =3
sorry if im wrong
Need help I am stuck, I would like to see if my work matches someone else's to check it over.
Answer:
i think its 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
I'm pretty sure but sorry if its incorrect.
The formula for converting miles into feet is F=5280m. If m=3, evaluate to find F, the number of feet in 3 miles
Answer:
15,840?
Step-by-step explanation:
if f=5280m and m=3 then 5280x3= 15,840
Good luck!
A certain shade of green paint is made by mixing blue and yellow paint. The relationship between the number of quarts of blue paint in the mix, xx, and the number of quarts of yellow paint, yy, is represented by the graph below.
What does the ordered pair (2,102,10) indicate?
Answer:
2 quartz of the blue paint for every 10 quartz of yellow paint
Step-by-step explanation:
The graph shows the possible different amount of yellow paint and blue paint, in quartz, that can be mixed to obtain a shade of green paint.
On the graph, at the point with the coordinates pair of (2, 10), it means for we would require 2 quartz of blue paints to be mixed with every 10 quartz of yellow paint in order to get the shade of the green paint that we are looking for.
Answer: 2 quartz of the blue paint for every 10 quartz of yellow paint
Step-by-step explanation: good luck
which one is the coldest AMD why
Answer:
Raleigh.
Step-by-step explanation:
Just look for the Fahrenheit with the smallest number.
Answer:Raleigh
Step-by-step explanation:Your going to go for the smallest and I just took the quiz
Someone answer number 10.(Both parts please.)
Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?
Answer:
[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]
Step-by-step explanation:
[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]
15. Which of the following is an equation for the line that passes through
(-4,-3) and (-2, 3)?
Answer:
An equation for the question above is y = 3x + 9.
Find the measure of the indicated angle.
Answer:
I believe it could be 25
Step-by-step explanation:
Eight angle = 90
1. 38 + 27 = 65
2. 90 - 65 = 25
I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7
Can someone help please