Answer:
Step-by-step explanation:
The average rate of change of a function over an interval is simply the slope over the interval because:
[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]
We have to know f(6) and f(-4)
[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]
7 less than the difference of 12 and 5
Answer:
the difference of 12 and 5 is 7 so it would be 0
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
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PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81
Answer:
The first five terms are 6, 11, 21, 41, 81 ⇒ D
Step-by-step explanation:
∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2
∴ The first term of the sequence is 6
∴ The value of n represents the position of the term
∵ n = 2
∴ a (n - 1) = a(2 - 1) = a1
∵ a1 = 6
→ Substitute a1 by 6
∴ a(2) = 2(6) - 1 = 12 - 1
∴ a(2) = 11
∵ n = 3
∴ a (n - 1) = a(3 - 1) = a2
∵ a2 = 11
→ Substitute a2 by 11
∴ a(3) = 2(11) - 1 = 22 - 1
∴ a(3) = 21
∵ n = 4
∴ a (n - 1) = a(4 - 1) = a3
∵ a3 = 21
→ Substitute a3 by 21
∴ a(4) = 2(21) - 1 = 42 - 1
∴ a(4) = 41
∵ n = 5
∴ a (n - 1) = a(5 - 1) = a4
∵ a4 = 41
→ Substitute a4 by 41
∴ a(5) = 2(41) - 1 = 82 - 1
∴ a(5) = 81
∴ The first five terms are 6, 11, 21, 41, 81
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
Which of the following values are solutions to the inequality
HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line. Enter your answer in simplest form.
Answer:
slope=4
Step-by-step explanation:
m=y2-y1/x2-x1
4-(-4)=8
5-3=2
8/2=4
hope this helps :3
if it did pls mark brainliest
Given: O ∈ AB , ON is ∠ bisector of ∠AOC, OF is ∠ bisector of ∠COB, m∠FOB=70°. Find: m∠AON
Answer:
AOC = 20 degrees
Step-by-step explanation:
We know that FOB is 70 degrees, and COF is 90 degrees. So just add 70+90 and get 160 degrees. Then you subtract that from AOB which is 20 degrees.
HELP! GIVING OUT BRAINIEST AND 10 POINTS!!!
Answer:
i think it's 18
Step-by-step explanation:
no need to
Answer:
x=12
Step-by-step explanation:
If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.
The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 . The combined area of these three rooms is 189 square feet. What is the value of one box on the tape diagram ?
Answer:
The value of one box in the tape diagram will be 21 square feet
Step-by-step explanation:
Here, we have the total ratio added as 4 + 3 + 2 = 9
So the area of one box on the tape diagram will be the combined area divided by the total square feet
Mathematically, that will be;
189 square feet/9 = 21
Answer:
21
Step-by-step explanation:
^^^^^^
Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.
Answer:
8.9 units
Step-by-step explanation:
sqrt[(x2-x1)^2+(y2-y1)^2]
sqrt[8^2+4^2]
sqrt(80)
8.9 units
find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35
Answer: 20.5
Step-by-step explanation:
subtract 0.05 from each answer until you get 20 terms then add those terms up
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
what is the solution to this equation? 14 - 3x = 6 - 5x
Answer:
x=-4
Step-by-step explanation:
14-3x = 6-5x
-3x -3x
14 = 6-2x
-6 -6
-2x = 8
x = -4
Hope this helped! :)
PLEASE HELP WILL GIVE 20 POINTS
Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.
Answer:
$150.50
Step-by-step explanation:
I = 450 × 0.05 × 7 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 450.00
at a rate of 5% per year
for 7 years is $ 157.50.
Hellooo :)
The answer is I = $ 157.50
Which expression is equivalent to -6(-2/3+2x)
-4-12x
-4+2x
4-12x
4+12x
Need help ASAP!! Tysm will mark brainliest
Answer:
about 30 then you will still fall short of that mark
HOPE IT HELP I AM NOT WANTING TO BE INCORRECT
Step-by-step explanation:
this is idiotic sense all the 3's will fall short
Please someone please help, will mark you Brainliest
Read the problem carefully and write the required information:
Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?
What are you looking for?
Define a variable:
Write the equation:
Solve the equation:
What will the amount of money be when the total amount of money paid to both gyms is the same?
Answer:
Step-by-step explanation:
Community gym
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
On the 15th month, community gym and workout gym will both get the same amount of $875.
Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.
Step-by-step explanation:
two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH
A. XY
B. WX
C. YZ
D. WZ
Answer: B: WX
Step-by-step explanation:
What is the domain and range of these graphs ?
please help i will mark brainliest
Answer:
180, i already commented it but like i even looked it up a straight line is 180
Step-by-step explanation:
Fred opened a bank account with $310. He then deposits $55 per week. Stan started his bank account with $650 and withdraws $30 per week. Set up an equation to represent this situation. After how many weeks, w, will their bank accounts have the same amount in them
Answer: 4 weeks
Step-by-step explanation:
please help!!!!!!!!!
Answer:
1) 1:100
2)200 ml
3) 1:50:100
Step-by-step explanation:
Egg to milk = 3:100 or 1:100
3:100=2:x x=200
Eggs to flour to milk=
3:150:300.
Or 1:50:100
Hope this helps plz mark brainliest :D
how long is 74% of 60 min
A. 50
B. 35
C.45
Answer:
Its c
Step-by-step explanation:
Answer:
yes it is C
Step-by-step explanation:
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
what is the difference between 3/8 and 61/64 redosed
Answer:
Distance between points = [tex]37/64\\[/tex]
Step-by-step explanation:
This is a relatively simple problem. Here we have to find the distance between two points on the number line.
The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.
One has denominator as 8 and the other as 64.
We make the common denominator as 64.
Then the fractions 24/64 are 61/64 and .
The distance between the two points = 61/64 - 24/64
= 37/64
Step-by-step explanation:
Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.
Answer:
I think the is 18-10s
Step-by-step explanation:
hope that helps
Please help me with this
Find the slope plz help help plz
Answer:
-2
Step-by-step explanation:
The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.
Answer:
4710grams of lemonade.Step-by-step explanation:
Step one:
given data
the brown family has 5 liters of lemonade that weighs 1 kg per liter
this implies that they have 5kg of lemonade.
convert 5kg to grams we have 5*1000= 5000grams
(because 1000g is equal to 1kg)
Step two:
if at the end of the day there was 290grams left, then they drank
=5000-290
=4710
They drank 4710grams of lemonade.
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation: