Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
Carefully show the work that leads to your final answer.
Answer:
[tex]Rate = 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 3[/tex]
Required
Determine the average rate of change from -2 to 4
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]a = -2[/tex]
[tex]b = 4[/tex]
So, we have:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
Calculate f(4):
[tex]f(x) = x^2 + 3[/tex]
[tex]f(4) = 4^2 + 3[/tex]
[tex]f(4) = 19[/tex]
Calculate f(-2)
[tex]f(x) = x^2 + 3[/tex]
[tex]f(-2) = (-2)^2 + 3[/tex]
[tex]f(-2) = 7[/tex]
So:
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
[tex]Rate = \frac{19-7}{6}[/tex]
[tex]Rate = \frac{12}{6}[/tex]
[tex]Rate = 2[/tex]
The average rate of change is 2.
3(c − 2) = 15 what’s the value of c?
Answer: 7
Step-by-step explanation:
Distribute
3c - 6 = 15
Add 6 to both sides
3c = 21
Divide 3 to both sides
c = 7
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
Prove that the value of the expression: 731^3−631^3 is divisible by 100
Answer:
is divisible by((731^3) - (631^3), 100) = True
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)
By Substitution, (731-631) ( 731^2 + 731x631 +631^2)
= 100 ( 731^2 + 731x631 +631^2)
Therefore it is divisible by 100
Show all work for full credit.
Answer:
−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54
Step-by-step explanation:
Sum is 3 then 5
Solve for X in 4^x + 6^x = 9^x
Answer:
4^x + 6^x = 9^x
9^x=9^x
x=x
Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.
a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.
Answer:
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Step-by-step explanation:
Given that;
f(x) = 1.5x²
Now. the probabilities would be the integral of the given function from (-1 to 1)
a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
= (1/2)x³
= 1/2 - 0
= 0.5
Therefore; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
this will also be done in the same way except that, the limits changes to { 0.5 to 1]
= (1)³/2 - (0.5)³ /2
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
= (0.5)³/2 - (-0.5)³/2
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let the value be 'a'
Then, integral from -1 to a will = 0.05
a³ - (-1)³ = 0.05 × 2
a³ + 1 = 0.10
a³ = 0.10 - 1
a³ = -0.9
a = ∛-0.9
a = -0.9654
Therefore, value of x is -0.9654
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Determine the following probabilities:a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]
= 0.5
So; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
Now
[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let us assume the value be 'a'
So, integral from -1 to a will = 0.05
[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]
a = -0.9654
Therefore, the value of x is -0.9654
Learn more about the probabilities here: https://brainly.com/question/24710931
Gabi and Lauren picked apples on Saturday. Gabi’s bucket had 20 apples and Lauren’s basket had 1 2/5 times as many apples as Gabi. How many apples did Lauren have?
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Gabi has 20
Lauren has 20 * 1 2/5
20*1 2/5 = 20*7/5 = 28
The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is graft at (N, -2). The distance from P to Q is equal to the distance from P point R. What is the distance from point P to point Q? What is the value of N? Explain how you determine the distance from point B to point Q, and the value in. The graph shows the location of P in point R. Point are is on the Y axis and has the same Y coordinate of point P
Answer:
I cant understand read ur lesson and ask help from ur teacher
#CarryOnLearning
How much simple interest would $1,000 earn in 275 days at an Interest rate of 4.21%
Here is a list of numbers
13 14 18 23
18 23 30 36
From the numbers in the list, write down
the multiple of 4 and
the factor of 28
Answer:
multiple of4is 36 and factor of 28 is 14
hope it helps you
Answer:
The multiple of 4 is 36 and the factor of 28 is 14Step-by-step explanation:
The multiples of 4 : 4,8,12,16,20,24,28, 32, 36, 40, 44, 48,.....
The factors of 28 : 1,2,4,7,14 and 28
I hope it helps
La magnitud de un ángulo depende de la longitud de sus lados verdad o falso
Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.
¿De que depende la magnitud de un ángulo?
La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.
En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.
Sí quieres aprender más sobre ángulos, puedes leer:
https://brainly.com/question/15755958
Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B
Answer:
b
Step-by-step explanation:
its b because you add the 3.4n +2.5n then you subtract -5.3+2.8
X-9= -6
Please help me answer this question ASAP
Answer:
its 3
Step-by-step explanation:
Which function shows a positive rate of change?
Answer: C
Step-by-step explanation:
C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.
Please help!!! will give brainliest!
Answer:
C
Step-by-step explanation:
circumfrence = 2 pi r
= 20* 3.14= 2*31.4= 62.8
or c
if my answer helped please mark as brainliest.
Answer:
62.8
Step-by-step explanation:
If your not aloud to don't but if you look it up there's a really good calculator.
Plz guys I need help
the answer will be 16x
1 gallon 16x as constant variable
Set up a proportion and use it to solve for x.
X
64
48
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time
6y - 9x = 24
-3y + 2x=7
Answer:
(x, y) = (-38/5, -38/5)
Step-by-step explanation:
6y - 9x = 24
-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.
Adding the two equtions together, we get:
(6y - 9x) + (-6y + 4x) = 24 + 14.
Simplifying, we get:
-9x + 4x = 38
-5x = 38
x = -38/5.
So, 6y - 9 * (-38/5) = 24
y = -37/5
Answer:
Step-by-step explanation:
6y - 9x = 24
-6y + 6x = 21
-3x = 45
x = -15
-3y - 30 = 7
-3y = 37
y = -37/3
The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes.
A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]
In point a:
so, pdf of x =
[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]
In point b:
To find
[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]
In point c:
[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]
In point d:
[tex]\to P(95< x< 110)[/tex]
[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:
Answer:
Daniel does have enough money to make this car payment
Step-by-step explanation:
Addition and Subtraction
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
What is the square root
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
solve 10x + 5y = 9 for y
Answer:
y= 9-10X/5
Step-by-step explanation:
Plz make me braibliest
Answer:
10x+5y=9 years
or,15xy=9 years
or,xy=15÷9
Ans=6xy.
What is the value of z?
Answer:
27°
Step-by-step explanation:
117-90=27°
27
sorry for bad sketching
What is the area of this figure?
2 yd
3 yd
4 yd
7 yd
4 yd
6 yd
square yards
Please helpp
Answer:
4032 square yards
Step-by-step explanation:
Area is multiplying the numbers together. Like if you were to find the area of a rectangle, you would need to multiply the length and width together. Don't forget to add a label at the end for more credit, such as square yards.
Help this is really hard
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
x=18, y=45
Step-by-step explanation:
I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x. 10x=180 x=18.
Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135
y=45
Luiz and Bianca are brother and sister and go to the same school. Luiz walks to school using a footpath, a distance of 900 m, and he walks at 1.5 m/s. Bianca cycles to school along the roads, a distance of 1.5 km, and she cycles at 5 m/s. They both plan on arriving at school by 8.55 a.m. Who leaves home first and by how much?
Answer:
Luis leaves home first and he leaves 5 minutes before Bianca
Step-by-step explanation:
dL (distance travelled by Luis) = 900 m
sL(Luis'd speed) = 1.5 m/s
tL = time taken by Luis = dL/sL = 900/1.5 = 600 seconds = 10 mins
So Luis would need to leave home at 8:45 am
dB = 1.5 km = 1500 m
sB = 5 m/s
tB = dB/sB = 1500/5 = 300 seconds = 5 minutes
So Biance would leave home at 8:50 am