Answer:
20 miles
Step-by-step explanation:
We are given that
Person traveled total distance by bike=2 1/2 miles
Person traveled total distance by bike==[tex]2+\frac{1}{2}=2.5miles[/tex]
Time taken by person ,t=1/8 hour
We have to find the distance traveled by person bike in an hour.
We know that
Rate==[tex]\frac{Distance}{time}[/tex]
Using the formula
Rate=[tex]\frac{2.5}{\frac{1}{8}}[/tex]miles/hr
Rate=20mph
In 1 hour person bike traveled distance=20 miles
Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.
Answer:
Step-by-step explanation:
(f∘g)(x) = f(g(x))
= f(x²-3)
= 2(x²-3) + 1
= 2x² - 5
(f∘g)(-2) = 2(-2)² - 5
= 2·4 - 5
= 8 - 5
= 3
The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3 will be 3
What is composition of a function ?
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
The notation used for composition is: (f o g)(x) = f(g(x))
(fog)(x) = f(g(x))
this implies , (fog)(-2) = f(g(2))
given :
f(x) = 2x + 1
g(x) = x2 – 3
(fog)(x) = f(g(x)) = f(x^2 - 3)
= 2 (x^2 -3) +1
= 2x^2 - 5 equation 1
fog(-2) = f(g(2))
substituting the value of x = 2 in equation 2
= 2 * (2)^2 -5
= 3
learn more about composition of a function :
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Please be specific:(
How do you divide an equation like 3/4? And how do you convert a fraction into a decimal? 10 points and brainiest to whoever is more specific.
Step-by-step explanation:
You can perform a long divison.
4 / 3 \ 0.75
0
----
30
28
----
20
20
----
0
what is the solution
Answer:
(1, -1)
Step-by-step explanation:
The solution on a coordinate plane is where the two lines intersect, and these intersect at the point (1, -1).
Please help, thank you.
The question is in the picture
Answer:
C. a= 4, b= 2
Step-by-step explanation:
In a parallelogram, opposite sides are equal.
So, 4a+1 = 2a+9
On solving, we get, a= 4
Similarly, 6b= 11b-10
On solving, we get, b= 2
Answer:
answer: option C: a=4,b=2
explanation:
opposite sides of a parallelogram are equal so,
QP =RS
6b=11b-10
I. e 6b-11b = -10
I. e. -5b = -10
I. e. - b = -10/2
I. e -b = -2
by removing minus sign from both the sides...
b =2
again opposite sides of a parallelogram are equal so,
QR =PS
4a + 1 = 2a + 9
I. e 4a- 2a = 9 - 1
I. e 2a = 8
I. e a = 8/2
therefore a= 4
so the answer is a=4 and b= 2
factor out the coefficient of 1/2d+6
Answer:
factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:
1/2 (d+12)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor out a 1/2
[tex]\frac{1}{2}(d+12)[/tex]
Redistribute if you want to check your work
[tex]\frac{d}{2}+\frac{12}{2} =\frac{1}{2}d+6[/tex]
What is (-4z + 3y - 5) + (y - 5x + 6)
(-4z + 3y - 5) + (y - 5x + 6) =
-4z + 3y - 5 + y - 5x + 6 =
-4z + 4y - 5x + 1
Solve the simultaneous equations
y = 2x^2
y = 3x + 14
Answer:
x = -2
And, x = 7 ÷ 2
Step-by-step explanation:
Given that
y = 2x^2
y = 3x + 14
Now equate these two above equations
2x^2 = 3x + 14
2x^2 - 3x - 14
2x^2 -7x + 4x - 14
x(2x - 7) + 2(2x - 7)
(x + 2) (2x - 7)
So it can be x = -2
And, x = 7 ÷ 2
what equations are true values of x?
Answer:
10 - 9 + 12x = 4x - 9 + 8x
x - 6 = 6 - x
1/2 (6x + 5) = 3x + 2.5
7(x-4)=4x+5 whats X?
Answer:
x = 11
Step-by-step explanation:
In this question, you would solve for x.
Solve for x:
7(x - 4) = 4x + 5
Use the distributive property.
7x - 28 = 4x + 5
Subtract both sides by 4x.
3x - 28 = 5
Add 28 to both sides.
3x = 33
Divide both sides by 3.
x = 11
Your final answer would be x = 11
Answer:
x=11
Step-by-step explanation:
First, do the parentheses (PEMDAS).
7(x-4)=4x+5 to 7x-28=4x+5
Then, add 28 to either side to get all the numbers on one side.
7x-28=4x+5 to 7x=4x+33
After that, subtract 4x to get all the x's on one side.
7x=4x+33 to 3x=33
Finally, divide by 3 to get your final answer.
3x=33 to x=11
(hope this helps :P)
Add.
(2x4+x3−4x2+3)+(4x4−2x3−x2+10x+2)
Express the answer in standard form.
Enter your answer in the box.
Answer: 6x^4-x^3-5x^2+10x+5.
Step-by-step explanation:
Answer:
See screenshot
Step-by-step explanation:
can someone help please i don’t understand this.
A baby's t-shirt requires
3/4
yards of fabric. How many t-shirts can be made from 30 yards?
aline
Submit Question
uth
Answer:
40 t-shirts
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line represented by the equation y – 5x = 5?
Answer:
5 1/5
step-by-step explanation
Please help its due 12:00 Am
Answer:
440h is the expression. When 3 1/4 is evaluated you get 1,430 calories burned.
Step-by-step explanation:
440 represents the number of calories she burns per hour. To represent the hour, we place a variable which is h. After we write the expression, we substitute 3 1/4 for h. When I did this, I turned 3 1/4 into an improper fraction, which was 13/4, and then divided 13 by 4 to get 3.25
Multiple 3.25 by 440 to get an answer of 1,430 calories burned.
Hope this helps :)
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Given that m + 3n: m +9n
2:5.
Write an equation in terms of m and n
m=
Answer:
m=1.5
Step-by-step explanation:
simultaneously
3m+9n=6
- m+9n=3
2m=3
m=1.5
what is the
area of 3in 4in 5in
Answer:
60inches
Step-by-step explanation:
3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.
Answer:
60in squared
Step-By-Step explination:
A= L x W x H
A= 3 x 4 x 5
A= 12 x 5
A = 60in
Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answer:
who got the maximum marks? it would have been apala she got the high mark
Which is equivalent to 8r – y + 3r?
Answer:
The Answer is 11r + y
Step-by-step explanation:
If you combine 8r and 3r you can make 11r. From there, you just make negatives, positives and you have 11r + y! :)
Maria bought g gallons of gasoline for $3.95 per gallon and c cans of oil for $4.45 per can. a. What expression can be used to determine the total amount Maria spent on gasoline and oil? b. If she bought 8.6 gallons of gasoline and 9 cans of oil, how much did she spend in all? a. Choose an expression that represents the amount that Maria spent in all.
Answer:
a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.) Total amount spent by Maria = $ 74.02
Step-by-step explanation:
As given,
Cost of gasoline = $ 3.95 gallon
Cost of oil per can = $ 4.45
Also given,
Maria bought g gallons of gasoline and c cans of oil
⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g
Total cost of c cans of oil = c×4.45 = $4.45c
Now,
a.)
Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.)
As given ,
Maria buy gasoline , g = 8.6 gallons
Maria buy cans of oil , c = 6
So,
Total amount spent = $ 3.95(8.6) + 4.45(9)
= $ 33.97 + 40.05 = $ 74.02
⇒Total amount spent by Maria = $ 74.02
Simplify the expression.
11.3 +9 - 7 = 1
Basic
Comm:
Mutiply Fractions and Whole Numbers
9 x 2/3
Explain your work
Answer:
18/3 or 6
Step-by-step explanation
9/1 and 9 is the same thing and because we are multiply fractions you add the 9/1 so it makes 9/1 x 2/3.
9/1 x 2/3 = 18/3
18/3 = 6
Hope it makes sense!
Answer:
Ans: 5.94
Step-by-step explanation:
according to bodmas,
we should solve division first then
multiply it with 9.
So,
= 9 × 2/3
= 9 × 0.66
= 5.94 ~ 6(approx)
6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.
Answer:
Step-by-step explanation: does anyone know? I really need this
What is the output of 3(1)?
Input(x) 3x Output
1 3(1) ???
Answer:
1.0
2.3
3.6
Step-by-step explanation:
3*0=0
3*1=3
3*2=6
what is 8333333333/100000000000 simplified? It might be hard but I need help and it's for tonight. Thanks!
Solve for r.
–6(r − 98) = 78
Answer:
r = 85
Step-by-step explanation:
→ -6 ( r - 98 ) = 78→ r - 98 = -13→ r = -13 + 98→ r = 85conclusion:
so the value of r is 85
Step-by-step explanation:
First, divide both sides of the equation by -6.
-6(r-98)÷6=78÷6
This gives us r-98=-13
Then, add 98 to both sides.
r-98+98=-13+98
The answer is r=85
Find the Least Common Denominator of
12 and 3
10
5
35
70
O 17
Answer:
the least common denominator is 12
(x+4)(x+2)
HELPPP !!
Answer:
x^2+6x+8
Step-by-step explanation:
(
Four students are going on a trip. Each student needs at least $2000 for the trip. each student writes an inequality that can be used to determine the number of weeks,x, that the student will need to save up the money for the trip. The inequalities are shown in the table below.
Lin 50x+ 1400[tex]\geq[/tex]2000
Reza 250x+ 1000 [tex]\geq[/tex]2000
Pierre 10x+1200[tex]\geq[/tex]2000
150x+200[tex]\geq[/tex]2000
Which of the following students wrote an inequality with a solution of x[tex]\geq[/tex]12
a. lin
b. reza
c. pierre
d. hermione
Answer:
First of all, this is a simple solution to the equation, by simplifying the equation to x greater than or equal to 12, so option A is in line with the meaning of the problem
Answer: The answer is A & D
Step-by-step explanation:
150x + 200 >_ 2000= x >_12
50x + 1400 >_ 2000= x >_ 12
Your Welcome!
what is half of 8/8 will give brainliest to last correct answer
Answer:
0.5 :)
Step-by-step explanation:
2) Richard, Henry and Gavin share some sweets in the ratio 4:1:3. Richard gets 7 more sweets
than Gavin. How many sweets does Henry get?
Answer:
6
Step-by-step explanation:
Richard gets 7 more sweets than Gavin which would probably make Richard have the most so in total he should have around 8 whilst Gavin has 1 so right now we have 4:1:?. Basing off the fact that Richard would have the most sweets Henry would have to have 6 sweets to be able to divide half of it for 3. 4:1:3