Answer:
30
Step-by-step explanation:
What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]
Answer:
7, though I don't know if it's 100% correct. I tried to help.
Step-by-step explanation:
f(x) = 4x^2 + 3x interval [1,5]
f(1) = 4(1)^2 + 3(1)
f(1) = 4 + 3
f(1) = 7
Answer:
[tex]\boxed {\boxed {\sf 27}}[/tex]
Step-by-step explanation:
The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.
[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]
Let's assign 1 to x₁ and 5 to x₂.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.
f(x)= 4x² + 3x
f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7
Now we can find the average rate of change. We know the outputs and we know the inputs.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
[tex]\frac {115 -7}{5-1}[/tex]
[tex]\frac {108}{4}[/tex]
[tex]27[/tex]
The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.
Can you write 8x=1 as a quadratic equation?
Answer:
yes
Step-by-step explanation:
The root of the given linear equation can be made to be a repeated root of a quadratic equation:
(8x -1)² = 0
Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
b. 6 times the sum of 12 and 8
Answer:
120
Step-by-step explanation:
12+8 = 20
20*6 = 120
describe fully the single transformation that maps triangle A onto triangle B.
what would the answer be
Answer:
60
Step-by-step explanation:
Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15
Answer:
The correct answer is AAAA
Answer:
A.
[tex] \frac{8}{15} and \: 0.53[/tex]
The sum of two numbers is 13 and their diffrence is 3. what are the two numbers?
Answer: Hello!
The two numbers are 8 and 5 .
Step-by-step explanation:
Mark me brainest please. Hope I helped! Hope you make an 100%
Anna♥
You need to collect at least 32 shells to create a necklace. Your friend gave you 14 and you already had 6. How many more shells do you need to make a necklace? *
find the unit rate for this problem
45 tacos for 15 people ______ to is per person
No link please!!!
Answer:
45/15 = 3
Step-by-step explanation:
3 tacos per person
Answer:
3 tacos for 1 person
Step-by-step explanation:
45 tacos / 15 people
Divide the top and bottom by 15
(45/15) / ( 15/15)= 3/1
3 tacos for 1 person
What expression is equivalent to 42+18
I think the answer is 20+40...
A car agency shows a new car with a price of AED 45,000. The company predicted that the cost of the
car would depreciate 10% each year for three years and then depreciate 8% each year after that. Find
the value of the vehicle in 8 years.
HELP ME PLSSS
Answer:
$8640
Step-by-step explanation:
Step 1:
The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.
3 × 45,000 = 135,000
The price then decreases by 10%. So, find 10% of 135,000
[tex]10\% = \frac{10}{100}[/tex]
[tex]135000=\frac{135000}{1}[/tex]
[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]
Multiply across
[tex]10\times1350 = 13500[/tex]
Therefore, for the three years, the cars price is now $13,500.
Step 2:
The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.
8 × 13,500 = 108,000
Now, find 8% of 108,000
[tex]8\% = \frac{8}{100}[/tex]
[tex]108000=\frac{108000}{1}[/tex]
[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]
Multiply across
[tex]8\times1080 = 8640[/tex]
Therefore, the value of the vehicle in 8 years is $8640.
What is the estimated sum of 503, 472, 486, 499, 539, and 522?
Answer:
3020
Step-by-step explanation:
round to the nearest 10
503 to 500
472 to 470
486 to 490
499 to 500
539 to 540
522 to 520
!!!!!!!!!!!!!!!!!!!3
Answer:
C. y - 1 = -4(x - 2)
Step-by-step explanation:
1. To find which line equation doesn't go through through the two points, we plug in the values of x to see if we get the value of the y.
A:
[tex]y=-4(3)+6[/tex] [tex]y = -12 + 6[/tex] [tex]y = -6[/tex] ✓ [tex]y = -4(1)+6[/tex] [tex]y = -4 + 6[/tex] [tex]y = 2[/tex] ✓B:
[tex]y+6=-4(3-3)[/tex] [tex]y + 6 = -4(0)[/tex] [tex]y + 6 = 0[/tex] [tex]y + 6 - 6 = 0 - 6[/tex] [tex]y = -6[/tex] ✓ [tex]y + 6 = -4(1-3)[/tex] [tex]y + 6 = -4(-2)[/tex] [tex]y + 6 = 8[/tex] [tex]y = 2[/tex] ✓C:
[tex]y-1=-4(3-2)[/tex] [tex]y-1=-4(1)[/tex] [tex]y-1=-4[/tex] [tex]y = -3[/tex] ✕Therefore, the answer is C. y - 1 = -4(x - 2).
Solve for X:
6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8
Answer:
I think it's infinantly many solutions
Step-by-step explanation:
6•4x= 24x.
6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31
24x-31 24x-31
sorry that's it's set up so wierdly
Answer:
Any value of X makes the equation true.
Step-by-step explanation:
Solve 2x^2 + 5x – 3 = 0
Answer:
Step-by-step explanation:
What is the perimeter of PQR? Show your work.
Solve for Z:
4 > 5Z + 34
help me so hard
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Answer:
z<-6
Step-by-step explanation:
4-5Z>34
-5z>34-4
-5z>30
z<-6
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How long was the party?
Answer:
About 5 hours
Step-by-step explanation:
Hope it helps
Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF
Answer:
c I think that is the answer
Find the coordinates of the vertices of the triangle after a rotation
270° counterclockwise about the origin.
Answer:
it is a
Step-by-step explanation:
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The triangle ΔCDE is shown below.
The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.
The triangle ΔCDE and ΔC'D'E' are shown on the graph.
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
The transformation of the triangle is given below.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ2
A line that includes the points (z,2) and (–8,–5) has an undefined slope. What is the value of z?
Answer: z = -8
Step-by-step explanation:
A line with an "undefined slope" is one that is vertical to the x axis. It has a slope that is undefined because there is no change in x for all points on the line. The slope is the Rise over the Run, and in this case there is no :Run." That means dividing by zero, so it is undefined.
Since x foes not change, the unknown point (z,2) would be (-8,2).
z = -8
What is 0.375 as a whole percent?
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
Crystal has played the piano for 15 years. Jane has played for 3 years. How many
times longer has Crystal played the piano I need equation: and answer
Answer:
15/3=5
Step-by-step explanation:
Crystal has played the piano for 5 times longer than Jane.
The first four terms of an arithmetic sequence are given.
27,32,37,42,...
What is the 60th term of the sequence?
Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
2.8 milesStep-by-step explanation:
Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
7 : 60 = x : 24
x = 7 * 24 : 60
x = 2.8 miles
1/3(12-9y) distributive property
Answer:
4 - 3y
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]
= 4 - 3y
The simplification of 1/3(12-9y) using distributive property is 4 - 3y
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, 2( x +y ) can be simplified as 2 × x + 2 × y
= 2x + 2y. This is distributive property.
Similarly, ⅓( 12- 9y) can be simplified as
(1/3 × 12) - (1/3 × 9y)
= 4 - 3y
Therefore 1/3(12-9y) is equivalent to 4 - 3y
learn more about distributive property from
https://brainly.com/question/2807928
#SPJ3
a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?
a. y = 5x + 80 = 5*4 + 80 = 20 + 80 = 100
b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5
c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3
d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12
Last minute homework due please help.
Answer:
8. 124 degrees
9. 48 degrees
10. 55 degrees
11. 120 degrees
12. 50.5 degrees
13. 118.7 degrees