Answer:
y=3x-8
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
What is the average rate of change of the function f(x) = 2x2 + x + 5 over the interval −2 ≤ x ≤ 2?
A. −4 B. −1 C. 1 D. 4
Answer:
d
Step-by-step explanation:
The average rate of change the function f(x) = 2x² + x + 5 is 1.
So, Option C is correct.
The average rate of change
The average rate of change in a function is the rate at which one value changes with respect to another value.
Given function: [tex]f(x)=2x^2+x+5[/tex] on interval [tex][-2,2][/tex]
Therefore,
Average rate of change = [tex]\frac{f(2)-f(-2)}{2-(-2)}[/tex]
[tex]f(2)=2(2)^2+2+5\\f(2)=15\\f(-2)=2(-2)^2-2+5\\f(2)=11[/tex]
Substitute the values,
Average rate [tex]=\frac{15-11}{2+2}[/tex]
Average rate [tex]=\frac{4}{4}[/tex]
Average rate [tex]=1[/tex]
So, the average rate of change is [tex]1[/tex]
Option C is correct.
Find out more information about the average rate of change here:
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Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before, Candice painted it by herself, but took 12 hours less than Ximena took. How long did Candice and Ximena take, when each was painting alone?
Answer: Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 12 hours
Step-by-step explanation:
Let x= Time taken by Ximena to paint the fence alone .
Time taken by Candice to paint the fence alone = x-12
As per given , we have
[tex]\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24[/tex]
if x= 4
Time taken by Ximena = 4 hours
Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)
Therefore, x= 24
Such that
Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 24-12=12 hours
93.34 divided my what equals 18.69
Answer:
4.99411449973
Step-by-step explanation:
Easy math! Just divide 93.34 by 18.69
Answer:
4.99411449973
Step-by-step explanation:
You can divide those two numbers together and to check just divide 93.34 by 4.99411449973 and you get 18.69
My subtotal at the bookstore came to $11.76. What is my total with 7% sales tax added on? SHOW UR WORK
The sum of 2 numbers is 15 and their difference is 1. What are the 2 numbers?
Answer:
7 & 8
Step-by-step explanation:
they are one integer apart, and if you add the two up, it makes 15
Hope this helps!
Help me Please!!!!! I will give brainliest to the person who does it first
Answer:
5x + 3y - 4
This expression has three terms (5x, 3y, and -4), 2 different variables (x and y), and a constant (-4)
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)
15,000,015,969+5,000,003
Decide whether the pair of lines is parallel, perpendicular, or neither.
Ly: 2x + 3y = 8
L2:3x + 2y = 7
Choose the correct answer below.
A. The lines are neither parallel nor perpendicular.
B. The lines are perpendicular.
C. The lines are parallel.
Answer:
A
Step-by-step explanation:
We can solve for y for both of the lines' equations to get the point-slope form.
L1: [tex]y=\frac{-2}{3} x+\frac{8}{3}[/tex]
L2:[tex]y=\frac{-3}{2}x+\frac{7}{2}[/tex]
So, the slopes of the two lines are [tex]\frac{-2}{3}[/tex] and [tex]\frac{-3}{2}[/tex].
Remember that parallel lines have the same slope, and perpendicular lines have opposite and reciprocal slopes. These slopes are reciprocal but not opposite.
Hope this helps!
the table shows the number of calories jane burns while exercising. How many calories would she burn for 29 minutes. Explain. Please help me! if u don't know this then don't answer!
Answer:
319
Step-by-step explanation:i just did it
An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
The insurance company can expect to make $900 on the policy
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence [tex]{}[/tex] Probability Value v × p
A claim is made [tex]{}[/tex] 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim [tex]{}[/tex] 0.9 [tex]{}[/tex] $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary.
Answer:
Total cost= 55 + 0.42*x
x= miles driven
Step-by-step explanation:
Giving the following information:
Bob's cost for his truck was $112.96 for 138 miles.
Carl's cost for his truck was $142.78 for 209 miles.
To calculate the fixed cost and variable cost per mile, we need to use the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (142.78 - 112.96) / (209 - 138)
Variable cost per unit= $0.42 per mile
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 142.78 - (0.42*209)
Fixed costs= $55
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 112.96 - (0.42*138)
Fixed costs= $55
Finally, the cost equation:
Total cost= 55 + 0.42*x
x= miles driven
Answer:
The answer is D
Step-by-step explanation:
I am having trouble understanding this: Sam bought 86 pounds of flour for his bakery. Every day he used the same amount of flour to make bakery items. After 10 days, Sam was left with 25.2 pounds of flour. On average, how many pounds of flour did Sam use each day?
A. 3.01 Pounds
B. 5.65 Pounds
C. 6.08 Pounds
D. 11.12 Pounds
Please also include an explanation. Thanks!
Answer:
the average amount of flour used each day=6.08 pounds
Step-by-step explanation:
Sam bought 86 pounds of flour for his bakery.
Every day he used the same amount of flour to make bakery items.
After 10 days, Sam was left with 25.2 pounds of flour.
Now we are asked to find the average pounds of flour that Sam used each day.
Total amount of flour used=86-25.2=60.8 pounds.
As he used the flour equal amount each day for 10 days.
So, the average flour used each day=
amount of flour used/ number of days=60.8/10=6.08.
the average amount of flour used each day=6.08 pounds
Answer:
C
Step-by-step explanation:
So since Sam have 25.2 leftover pounds of flour, we can subtract that from 86, knowing that will be left over in the end. Next, we divide the number left. 86 - 25.2 = 60.8
Finally, divide that by 10, since there are 10 days.
We end up with 6.08 pounds.
five hundred fifty five divided in five
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
An amount of $2,535.00 is deposited in a bank paying annual interest rate of 5.3% compounded quarterly find the balance after 3 years
Answer:
2968.78
Step-by-step explanation:
took the test
24 21 is 60% of what number?
Answer:
could u explain it better
Answer: either I don't remember if you use the % or the number ok
Hope this helps
2421 × 60 = 145260
2421 × 60% = 1452.6
Step-by-step explanation:
Brainlest - pls help thank you sm in advance
Answer
17
Step-by-step explanation:
hope this helps
Independent activity 4
Ano po sagot
9514 1404 393
Answer:
A, B, C, E, D
F, G, H, I, J
Step-by-step explanation:
You can go at this a couple of ways.
Consider the squares of number 1 through 9.
[tex]\begin{array}{cccccccccc}n&1&2&3&4&5&6&7&8&9\\n^2&1&4&9&16&25&36&49&64&81\end{array}[/tex]
Then when the number under the radical is close to n², the root on the number line will be close to n.
The other way you can do this is to find the square root using your calculator.
√10 ≈ 3.2 ⇒ A√35 ≈ 5.9 ⇒ B√48 ≈ 6.9 ⇒ C√71 ≈ 8.4 ⇒ E√54 ≈ 7.3 ⇒ D√19 ≈ 4.4 ⇒ F√89 ≈ 9.4 ⇒ G√6 ≈ 2.4 ⇒ H-√20 ≈ -4.5 ⇒ I-√2 ≈ -1.4 ⇒ JMs. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 14 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answer:
21 minutes
Step-by-step explanation:
Given that :
Sprinkler has 3 stations
Each waters for an equal amount of time ;
First 2 stations water for 14 minutes
Time taken per station :
14 / 2 = 7 minutes
Time taken to water all part of her lawn :
Time taken per station * number of stations
7 minutes * 3 = 21 minutes
Which of these is an example of a literal equation?
A. 6+ 30 = 62
B. 3x - 4y
C. 12 = 9 + 3x
D. ax - by=k
Please help
pleaseeeeeeeee helpppp...
Answer:
x = 67
Step-by-step explanation:
∠ CRQ = ∠ BQR = 113° ( Alternate angles )
∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is
x + 113 = 180 ( subtract 113 from both sides )
x = 67
In the figure below, points J, K, and L are the midpoints of the sides of AXYZ.
Suppose JK=38, X2=96, and YX=56.
Find the following lengths.
Answer:
28 ; 76 ; 38
Step-by-step explanation:
KL = [tex]\frac{XY}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28 units
YZ = 2 × JK = 38 × 2 = 76 units
LZ = 76/2 = 38 units
The lengths are: KL = 28 units, YZ = 76 units and LZ= 38 units.
What is Mid point theorem?The line segment in a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.
Given:
J, K, and L are the midpoints of the sides of ΔXYZ.
JK=38, X2=96, and YX=56.
Now, using Mid point theorem
JK= 1/2 YZ
38 = 1/2 YZ
YZ= 2 x 38
YZ = 76 units.
and, KL= 1/2 YX
KL = 1/2(56)
KL= 28
LZ = 1/2 (YZ)
LZ = 1/2(76)
LZ = 38 units
Learn more about Mid point theorem here:
https://brainly.com/question/13677972
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-3x - 4y = 5
- 2x + 3y = -8
Answer:
x = 1 ,y = -2
Step-by-step explanation:
Solve the following system:
{-4 y - 3 x = 5 | (equation 1)
3 y - 2 x = -8 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{-(3 x) - 4 y = 5 | (equation 1)
0 x+(17 y)/3 = -34/3 | (equation 2)
Multiply equation 2 by 3/17:
{-(3 x) - 4 y = 5 | (equation 1)
0 x+y = -2 | (equation 2)
Add 4 × (equation 2) to equation 1:
{-(3 x)+0 y = -3 | (equation 1)
0 x+y = -2 | (equation 2)
Divide equation 1 by -3:
{x+0 y = 1 | (equation 1)
0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 1 ,y = -2
Express this number in scientific notation. 0.000000591 A. 5.91 × 10–7 B. 5.91 × 10–6 C. 5.91 × 106 D. 5.91 × 107
Answer:
A
Step-by-step explanation:
Find the solution set of 3x + 11 < 50 using inverse operations and properties of inequality.
Answer:
the answer is 13
Step-by-step explanation:
x < 13 that's what the answer is
Answer: (-♾️ 13)
Step-by-step explanation:
3x+11<50
3x<50-11
3x<39
X<13
The solution will be (-♾️ 13)
In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
1:18:6
Step-by-step explanation:
3:54:18
This equals 1:18:6
Round 958.989730738 to the nearest hundred
Answer:
958.990
Step-by-step explanation:
958.990 is the Round off to the nearest hundred.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
The digit 5 acts as a limit.
If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
WE have to Round 958.989730738 to the nearest hundred.
Hence, 958.990 is the Round off to the nearest hundred.
Learn more about rounding numbers here:
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Find the new amount given the original amount and the percent of change. 28 members; 50% decrease
Determine if the relation represents a function. (2,1) (4,-7) (6,0) (4,-1) (2,9)
Answer:
It isn't a function
Step-by-step explanation:
2 and 4 both have 2 x values, and on a graph, a function cannot have more than 1 x value.
How to solve 2x2-6+10/2=
Pleasee answer this because this is super extrimely hard
THANK YOU....
Answer:
3
Step-by-step explanation:
2*2=4
10/2=5
+-6
4-6=-2+5=3
If (x+k) 2 (x+2) = x² +14x²+60x+72
Find the value of k.
I will give brainliest