Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
Given:
f(x) = 3x + 6We are told to find:
f(a)f(a + h), and[tex]\frac{(f(a + h) - f(a)) }{h}[/tex]1. Find f(a):
Substitute x = a into f(x) = 3x + 6f(a) = 3(a) + 6
f(a) = 3a + 6
2. Find f(a + h):
Substitute x = a + h into f(x) = 3x + 6f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
3. Find [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]:
Plug in the values of f(a + h) and f(a) into [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]Thus:
[tex]\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\[/tex]
Add like terms[tex]\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}[/tex]
Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
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Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Step-by-step explanation:
the perimeter = 2 ×15 + (π×d)
= 30 + (3.14 ×10)
= 30 + 31.4
= 61.4
I WILL MARK BRAINLIST
Create a proportion from each set of numbers. Only use 4 numbers from each set.
Step-by-step explanation:
Approach: If four numbers a, b, c and d are in proportion then a:b = c:d. The solution is to sort the four numbers and pair up the first 2 together and the last 2 together and check their ratios this is because, in order for them to be in proportion, the product of means has to be equal to the product of extremes.
Help or don’t if so thank you
Answer: 12.60 per CD
Step-by-step explanation:
Tax 0.80 * 3 = 2.40
40.20 - 2.40 = 37.80
37.8 / 3 = 12.60
please answer this question above
Answer:
2
Step-by-step explanation:
whatever number to the zero power equals 1
for example
192 to the zero power equals 1
7,000332 to the zero power equals 1
x to the zero power equals 1
so 1+1+1+1=4
(4)^1/2
2
i dk who made that rule its a little confusing but whatever
Brainliest?It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
12x15=100
Step-by-step explanation:
Its times because I know it
Mrs. Trip landed at Boston Logan airport and exchanged 700 Euro for $875 at a currency exchange store. Then she realized that she would need more cash and exchanged 400 Euro more. How many dollars did she receive for the second transaction?
Answer:
$500
Step-by-step explanation:
find the ratio
875/700=5/4
apply the ratio
5/4*400=500
Indhu has 150 stamps and Clarissa has 78 stamps. How many stamps must Indhu give Clarissa so that they will have the same number of stamps?
Answer:
36 stamps
Step-by-step explanation:
150+78=228
228/2=114
150-114=36
I NEED HELP PLEASE!!!
Passing through (7,-2) and perpendicular to the line whose equation is y=1/2x+2
Point slope form=
Slope-intercept form=
Answer:
yyou slope intrecept is already there
Step-by-step explanation:
2+2=4
Answer:
9x+3y=36
Step-by-step explanation:
boom
The temperature at 10:00 a.m was -3 and increased 2.25 each hour for the next 5 hours.What was the temperature at 3:00pm?
9514 1404 393
Answer:
8.25°
Step-by-step explanation:
The increase over 5 hours was ...
(5 h) × (2.25 °/h) = 11.25°
When that is added to the starting value, the ending value is ...
-3° +11.25° = 8.25°
The temperature at 3:00 pm was 8.25°.
What is the distance between point C (3.5,6) and Point A (4.8, 6)
Answer:
-1/3 and 0
Step-by-step explanation:
3.5-4.8=-1.3
6-6=0
I'm possibly wrong, but I need the points, and brainiest so, sorry if it is wrong.
Triangles PQR and XYZ are similar. What is the length of XZ?
9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).
Answer:
[tex]x = \frac{1}{28} y^{2}[/tex]
Step-by-step explanation:
parabola equation with vertex (0 , 0) and focus length |f| = 7
4*f*(x - h) = (y - k)²
4*7*(x-0)=(y-0)²
28x = y²
[tex]x = \frac{1}{28} y^{2}[/tex]
Each side of a square calendar is 19 inches long. What is the calendar's perimeter?
Answer:
a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in
Answer: What is 76'' perimeter
19" side
P=4a=4·19=76in
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Helpp need it now
9.) Find the N' .
1.) {j , u , d , g}
2.) {m , n , t , a , l}
3.) {j , u , d , g , e}
4.) {m , e , n , t , a , l}
10.) Find the N U I.
1.) {m , n , t , a , l}
2.) {j , u , d , g , e}
3.) {m , e , n , t , a , l}
4.) {j , u , d , g , m , e , n , t , a , l}
Answer:
8.) ans {e}
9.) ans {j, u, d, g}
10.) ans {j, u, d, g, m, e, n, t, a, l}
what 21.807-10.739=?
Answer:
2.428 is the answer....
{-13,-2,9,20,31,…} which term in this sequence is 306
Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
What is the product of 246 and 176?
Answer:
43296
Step-by-step explanation:
Answer: 43296
Step-by-step explanation:
If you multiply 246 and 176, you get 43296.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 50.5°
Step-by-step explanation:
Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.
cos(x) = 14/22
cos^-1 (14/22) = 50.5°
the general solution of sinx + cosx =√2 is..??
The answer is A. x= [tex]\pi[/tex]/4 +2[tex]\pi[/tex]n
Answer:
the general solution has answer
2nπ+π/4
Your mother drives 60 minutes at a constant speed of 40 miles per hour. She then speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. How many miles does your mother travel all together? How long did the trip take?
Answer: written below
Step-by-step explanation:
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles
60 minutes+30 minutes= 90 minutes or 1 1/2hours
Assume that y varies inversely as x. If
Y
y = 10 when
=
x = 4, what is the value for y when
x = 6?
Answer:
x=5
Explanation:
y∝1x∴y=k⋅1x∴x⋅y=k;
When x=4;y=10∴4⋅10=kork=40.
So variation equation is x⋅y=40
When y=8;x=408=5∴x=5 [Ans]
Step-by-step explanation:
not surre
Answer:
6.67
Step-by-step explanation:
10=4
y=6
10×4/6
At the bus station, buses depart a rate if 3 every 10 minutes. At the rate, how many buses would you expect to depart in one one hour?
A. 6
B. 15
C. 18
D. 30
Answer:
C.18
Step-by-step explanation:
at the rate 18 buses would have departed
Please answer the question step by step!
Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
The graph shows the motion of a car on a highway.
Which statement describing the motion of the car is best supported by the graph?
Answer:
you didnt give the options .. but its going to be the one saying something like its staying the same speed.
can anyone heelp me pls
Lotion - liquid
Suspension- semisolid
Capsule- Solid
Hope this helps :)
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28
Answer:
y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y/4=32/4
y=8
Answer:
7y-3y=12+20
4y=32
y=8
that's it. i don't know why I need 20 max character to submit
On Sunday a local hamburger shop sold a combined total of 231 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the amount of hamburgers sold. How many hamburgers were sold on Sunday?
Answer: 77 hamburgers
Step-by-step explanation:
You can write an equation for this problem
x= hamburgers
2x= cheeseburgers
x+2x=231
3x=231
x=77
Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 4 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Justin's average speed to his parents' house: __________ mph
Justin's average speed from his parents' house: __________ mph
Answer:
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Step-by-step explanation:
Let the average speed be x +20
Then average speed from his parents' x
And the distance is S=96
Then we know :
[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
2x=20−2
Value of x!!!
Answer:
[tex]\sf\longmapsto \: x = 9[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 20 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 18[/tex]
[tex]\sf\longmapsto \: x = \frac{18}{2} [/tex]
[tex]\sf\longmapsto \: x = 9[/tex]
Hello there! :)
2x=20-2
2x=18
Divide both sides by 2 to isolate x:
x=9
Hope this helps!
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[tex]GraceRosalia[/tex]