Answer:
The rate is 0.9 gallon per minute
Step-by-step explanation:
Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute
Let the amount drained per minute be x
4.5 gallons = 5 minutes
x gallon = 1 minute
Let’s cross multiply;
x * 5 = 4.5 * 1
5x = 4.5
x = 4.5/5
x = 0.9 gallons
please answer asap.will mark you as brainliest
Answer:
= and [tex]\leq[/tex] and [tex]\geq[/tex]
Step-by-step explanation:
Absolute value -9 is 9, but there is a negative sign so it is -9
-9=-9
Greater than or equal to works because of the equal sign.
Less than or equal to also works because of the equal sign.
Suppose f(x) = (5 – x)3 and, g(x) = a + x2, and f(g(x)) = (1 – x2)3. What is the value of a? a = –6 a = –4 a = 4 a = 6
Answer:
When I work with function composition, I usually convert "( f o g)(x)" to the more intuitive " f (g(x))" form. This is not required, but I certainly find it helpful. In this case, I get:
(g o f )(1) = g( f(1))
This means that, working from right to left (or from the inside out), I am plugging x = 1 into f(x), evaluating f(x), and then plugging the result into g(x). I can do the calculations bit by bit, like this: Since f(1) = 2(1) + 3 = 2 + 3 = 5, and since g(5) = –(5)2 + 5 = –25 + 5 = –20, then (g o f )(1) = g( f(1)) = g(5) = –20. Doing the calculations all together (which will be useful later on when we're doing things symbolically), it looks like this:
(g o f )(1) = g( f (1))
= g(2( ) + 3) ... setting up to insert the original input
= g(2(1) + 3)
= g(2 + 3)
= g(5)
= –( )2 + 5 ... setting up to insert the new input
= –(5)2 + 5
= –25 + 5
= –20
Note how I wrote each function's rule clearly, leaving open parentheses for where the input (x or whatever) would go. This is a useful technique. Whichever method you use (bit-by-bit or all-in-one), the answer is:
(g o f )(1) = g( f (1)) = –20
I just computed (g o f )(1); the composition can also work in the other order
Step-by-step explanation:
The value of a is 4.
Hence, a = 4
Here,
[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]
and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]
We have to find the value of a.
What is composite function?
Function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)).
Now,
[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]
and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]
⇒ [tex]f(g(x)) = f ( a + x^{2} )[/tex]
⇒ [tex]f ( a + x^{2} ) = ( 5 - a - x^{2} )^3[/tex]
And,
[tex]f(g(x)) = (1 - x^{2} )^3[/tex]
[tex]( 5 - a - x^{2} )^3 = ( 1 - x^{2} )^3\\[/tex]
Taking cube root both sides,
[tex]( 5 - a - x^{2} ) = ( 1 - x^{2} )\\ 5 - a - x^{2} = 1 - x^{2} \\a = 4[/tex]
Hence, The value of a = 4.
Learn more about the composite function visit:
https://brainly.in/question/14333427
#SPJ6
pls help me solve this!
Answer:
G. $9,200
Step-by-step explanation:
average depreciation = (amount of depreciation)/(number of years)
The amount of depreciation is the difference between the new cost and the current value.
amount of depreciation = $85,600 - $30,400 = $55,200
number of years = 6
average depreciation = (amount of depreciation)/(number of years)
average depreciation = ($55,200)/(6 years)
average depreciation = $9,200/year
Answer: G. $9,200
Solve the equation please I need help
1/3(3x-1)= -1/7-2/7
Answer:
[tex]x = -\frac{2}{21}[/tex]
hope that helped ;w;
An angle measures 155º. What is the measure of its supplement?
Answer:
25
Step-by-step explanation:
180-155
1
Find the coordinates of the midpoint of the segment with the given
endpoints. C(3, 5) and D(7,5) *
(5,5)
O (10,10)
O (4,5)
O (5,3)
Answer:
Google mid point formula and plug in your variables
Step-by-step explanation:
hope this helps :)
What is 2(x - 9) = 10?
Answer:
x=14
Step-by-step explanation:
2 times x = 2x and 2 time 9 is 18 so the equation is 2x-18=10. then you add 18 to both sides and get 2x=28 then simplify to x=14
Answer:
x=14
Step-by-step explanation:
2(x-9)=10
Step one - Simplify both sides
(2)(x)+(2)(-9)=10 (distribute)
2x+-18=10
2x-18=10
Step two - Add 18 to both sides
2x-18+18=10+18
2x=28
Step three - Divide both sides by 2
2x÷2 = 28÷2
x= 14
Answer:
x=14
Find the range of the relation below, then determine whether the relation is a function.
Answer:
C
Step-by-step explanation:
It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.
Which geometric figures are drawn on the diagram?
Check all that apply
ABC
E
BCE
Done
10 POINTS HELP ASAP evaluate 1.4 · 0.32
Answer:
56/125
Step-by-step explanation:
Ok, so we know evaluate means to solve or to work out the situation. In this case we got 1.4•0.32. So, what we'll have to do is to solve this mathmatical equation 7/5 (1.4) • 8/25 (0.32) this in fractional form what we did is turnrf the decimal form of each reprecient of the problem into fractions. How to turn decimals in fractions is to simplify. Once, you've done that evaluate 7/5 and 8/25. This should get you 56/125.
Answer:
0.448
Step-by-step explanation:
If x powered by 2= 20 what is the value of x ?
Answer:
x = 10
Step-by-step explanation:
10^2= 20, therefore
X=10Answer:
x = ± 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = ± 2[tex]\sqrt{5}[/tex]
whats a explicit function?
Answer:
I hope the above pic will help you :)
Explain why the function is discontinuous at the given number a (select all that apply)
Answer:
b) f(3) is defined, but is not equal to the limit
Step-by-step explanation:
The portion of the function defined by the rational expression is equivalent to x/(x+3), which has a value of 1/2 at x=3. This is the limit of f(x) from the left or right as x approaches 3. However, the function is not defined at that point as 1/2. Rather, it is defined to be f(3)=1.
So, the limits at f(3) exist and are 1/2, but the function is defined as a different value there.
The only applicable statement is the second one.
Square root
Determine the square root of 196.
use the calculator and submit your answer below.
Submit
Answer:
14
Step-by-step explanation:
14 x 14 or 14^2
what is another word for mean?
Answer: ____Average__
Answer:
Other words for mean are cruel, rude, unkind, nasty, and unpleasant.
MARK ME BRAINLIEST!!!
Please help.
This is very hard to me.
Answer:
Width is 20 inches.
Length is 44 inches.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by the formula:
[tex]P=2(l+w)[/tex]
Where l is the length and w is the width.
We know that the length is 4 more than double the width. In other words, we can write an equation for l:
[tex]l=4+2w[/tex]
Let's substitute this into the above equation. So:
[tex]P=2((4+2w)+w)[/tex]
Combine like terms:
[tex]P=2(4+3w)[/tex]
We are given that the perimeter is 128 (inches). So, substitute 128 for P and solve for w:
[tex]128=2(4+3w)[/tex]
Divide both sides by 2. The right side cancels:
[tex]64=4+3w[/tex]
Subtract 4 from both sides:
[tex]3w=60[/tex]
Divide both sides by 3:
[tex]w=20[/tex]
Therefore, our width is 20.
We can use the length formula we acquired previously to acquire length. We have:
[tex]l=4+2w[/tex]
Substitute 20 for w:
[tex]l=4+2(20)[/tex]
Multiply:
[tex]l=4+40[/tex]
Add:
[tex]l=44[/tex]
So, our length is 44.
And we width is 20.
And we're done!
Write the decimal expansion for 2/9
Answer:
decimal expansion of 2/9 is 0.2222
Answer:
.2222 (repeating)
Step-by-step explanation:
help pls :((((((((((
Answer:
y = 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
10/5y-13=-3
add thirteen to both sides
10/5y=10
multiply both sides by five
10y=50
divide both sides by 10
y=5
Use the distributive property to simplify the expression
3(9x -5)
**ANYONE WHO ANSWERS WILL GET BRAINLIEST ANSWER!!!!!**
Answer:
[tex]27x - 15[/tex]
Step-by-step explanation:
When we apply the distributive property, we multiply all the terms inside the parentheses by the term directly outside of it.
So:
[tex]9x \cdot 3 = 27x[/tex]
[tex]-5 \cdot 3 = -15[/tex]
Putting these together, we get [tex]27x-15[/tex].
Hope this helped!
Solve for x: 5x + one third (3x + 6) > 14
Answer:
x > 2
Step-by-step explanation:
5x + 1/3 * (3x + 6) > 14
5x + x + 2 > 14
6x + 2 > 14
6x > 12
x > 2
Answer:
x>2
Step-by-step explanation:
6x+2>14
6x>12
x>2
hope this helped a bit
Someone help me please g(0)=4-(x+3)^2
Answer:
here you go! 36
Step-by-step explanation:
Which expression is the simplest form of
- (3x^3+x^2) +2 (x^3– 4x^2)?
Answer:
- x³ - 9x²
Step-by-step explanation:
Given
- (3x³ + x² ) + 2(x³ - 4x² ) ← distribute both parenthesis
= - 3x³ - x² + 2x³ - 8x² ← collect like terms
= - x³ - 9x²
The expression in the simplest form is -x³ - 9x².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is - (3x³ + x² ) + 2(x³ - 4x² ) will be solved as below:-
E = - (3x³ + x² ) + 2(x³ - 4x² )
E = - 3x³ - x² + 2x³ - 8x²
E = - x³ - 9x²
Therefore, the expression in the simplest form is -x³ - 9x².
To know more about an expression follow
https://brainly.com/question/1698314
#SPJ2
What is the value of x in the equation 32(4x − 2) − 3x = 5 − (x + 2)? Drag the correct value to make the equation true.
Answer:
aqui esta la respuesta espero que te ayude
Simplify 2/4/8 what the awnser
Answer:
2 1/2
Step-by-step explanation:
Solve the proportions
1.) 5/8 = x/16
2.) x/45 = -50/3
3.) 4/(x+3) = 12/27
Hey there! I'm happy to help!
NUMBER 1
This is a trick to solve any proportion.
Multiply the diagonal numbers.
5(16)=80
Divide by the number that isn't the one you want to find.
90/8=10
And you are left with the number you haven't touched. We haven't touched x, so x=10.
NUMBER 2
Cross multiply.
45(-50)=-2250
Divide.
-2250/3=-750
So x=-750.
QUESTION 3
4(27)=108
108/12=9
So x+3=9, subtract 3 from both sides x=6.
Have a wonderful day! :D
1 Which expressions are equivalent to 2 -36 +- ? Check all that apply 30+ + 1 + 2 + 3 + 4 +5 4 1 +30 5 2 O 2 + 3 + 4 1 275 +-+30
Answer:
20,136
Step-by-step explanation:
Follow My -Tae.Nevacared 7777
Can someone please help me? I hope u guys have a great night if you do :))
Answer:
The answer is Option 1
Step-by-step explanation:
[tex]\sqrt{10}[/tex] = approximately 3.16
3.16 is in between 3 and 3.5
The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of paper saves 17 trees, how many trees are saved when 5,000 pounds of paper are recycled?
Answer:
Set 16/2000 = x/5000 and solve for x. = 40 trees saved.
Step-by-step explanation:
Answer: the answer would be 42.5 but i’m assuming that you would round.
Step-by-step explanation:
2000/ 17 = 5000/ x
cross multiply
85,000 = 2,000x
simplify(divide by 2000)
x= 42.5
0.540 into a fraction
Answer:
27/50
Step 1 Remove the decimal and write the given number divided by 1
Step 2 After decimal how many digits are there write that much 0 after 1
Step 3 Then Simplify or reduce the fraction
6x – 7 = 8x + 23 con los ejercicios
