Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6
Answers
Answer: -3
Step-by-step explanation: just multiply
The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
The interval given is 1 ≤ x ≤ 3.
The graph of the function is given below.
It can be clearly seen that,
The y value corresponding to x = 1 is y = f(1) = 2.
So one point on the graph is (1, 2).
The y value corresponding to x = 3 is y = f(3) = 8.
So the other point on the graph is (3, 8).
Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]
= [8 - 2] / [2]
= 6/2
= 3
Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.
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Related Questions
Which equation best models the data shown in the scatter plot?
In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).
A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5
Answers
Answer:
The correct option is;
D. y = 3·x - 5
Step-by-step explanation:
From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;
The slope = (1 - (-7))/(2 - (-0.5)) = 3.2
Taking the slope of the line of best fit as approximately equal to 3, we have;
3.2 ≈ 3
The equation of the line in point and slope form is therefore;
y - 1 = 3 × (x - 2)
y = 3·x - 6 + 1
∴ y = 3·x - 5
Answer:
D
Step-by-step explanation:
Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?
Answers
Answer:
75 single servings
Step-by-step explanation:
First multiply
40*5/8
You’ll get 25
now 40-25=15
Using 15
15 divided by 1/5
15÷1/5
keep change flip
15*5
75
Answer:
75 servings
Step-by-step explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
2. Solve the equation
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
Simplify;
(40 - 25) ÷ [tex]\frac{1}{5}[/tex]
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75
Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.
The number of small candles sold is represented by x and the number of large candles sold is represented by y.
What is the maximum revenue she can make?
$448
$512
$576
$588
Answers
Answer:
The answer is 576
Answer: 512
Step-by-step explanation:
Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
Answers
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
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Answer: B.1
Step-by-step explanation:
I did it on edge
find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)
Answers
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
The distances traveled by car A car Afx x hours. are. represented by the graph and table below.
Answers
Answer: b
Step-by-step explanation:
The speed of car B is twice the speed of car A.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
For car A,
Time= 5 hours
Distance = 200 miles.
speed= 200/5
speed= 40 mph
and, In car B
Time= 6 hours
Distance= 480 miles
speed= 480/6
speed= 80 mph
Hence, the speed of car B is twice the speed of car A.
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Frieda paid $132 for groceries for her family. This was 1 1/8 as much as she paid for the previous time she shopped. How much did Freda pay on her previous shopping trip
Answers
Answer:
$117.33
Step-by-step explanation:
1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8
She paid 9/8 what she paid the last time.
Let the amount she paid last time equal x.
$132 is 9/8 of x.
9/8 x = 132
8/9 * 9/8 x = 132 * 8/9
x = 117.33
She paid $117.33
what is (-4) + 3 + (-5)
Answers
Answer:
-6
Step-by-step explanation:
-4 + 3 = -1
Add -1 to -5
-6
Hope this helps :)
Answer:
-6
Step-by-step explanation:
its addition so u can move them around due to (addition property)
so i took (-4) plus (-5) and got (-9)
then took (-9)+3 and got (-6)
Convert standard form 4x-2y=6
Answers
Answer:
4x(-2)x(-2)=6
Rewrite the division problem as multiplication:
Answers
Answer:
What is the problem??? If you didn't need an actual problem solved I said how to do it.
Step-by-step explanation:
You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
I hope this helps UwU
FREUUUUUU POINTS +brainlest
Answers
Answer:
:P
Step-by-step explanation:
18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
Answers
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
please help me please
Answers
Answer:
6x-3
Step-by-step explanation:
Let f(x) = x, and x=f(x) .
Re arrange to find formula. I.e
[tex] x = \frac{f(x) + 3}{6} \\ 6x = f(x) + 3 \\ f(x) = 6x - 3[/tex]
Joey goes to an electronics store to buy video games and
CD's. He has $140 from his birthday party and he's looking to
buy video games for $35 each and CD's for $15 each. Write an
inequality to describe the possible number of video games and
CD's that Joey can buy. If Joey buys 4 CD's, what is the
maximum number of video games he can buy?
video games
Answers
Answer:
2
Step-by-step explanation:
factor the expression using the GCF 8x+20y= ( x+ y)
Answers
9514 1404 393
Answer:
4(2x +5y)
Step-by-step explanation:
The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...
4(2x +5y)
vector u has initial point at (6,8) and terminal point at (3,-2). Vector v has initial point at (-4,-3) and terminal point at (1,-7). What is u-v in component form?
a.(-8,-6)
b.(-2,-6)
c.(8,6)
d.(12,16)
Answers
Answer:
Edg: A - (-8,-6)
Step-by-step explanation:
Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.
-----------------------------------
The component form of a vector is given by its terminal point subtracted by its initial point.The subtraction of vectors is the subtraction of its components.-----------------------------------
Vector u has initial point at (6,8).Vector u has terminal point at (3,-2).Thus, the component form of vector u is:
[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]
-----------------------------------
Vector v has initial point at (-4,-3).Vector v has terminal point at (1,-7).Thus, the component form of vector v is:
[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]
-----------------------------------
The subtraction of vectors u and v is the subtraction of it's components, thus:
[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]
The component form of u - v is (-8,-6), option a.
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16.5 × 6.67 - 4.67 × 16.5
Answers
- (PEMDAS) if there are no parentheses then multiply first. so you would do 16.5•6.67 to get 110.055 and so the same with the -4.67•16.5 to get -77.055. now, you would subtract and your equation would now be 110.055-77.055=33. hope that helps some
11. One taxi company charges $10 plus $0.10 per mile for a fare to the airport. Another taxi
company charges $5.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
Answers
Step-by-step explanation:
this answer will be 15 I think
The length of a rectangle is 3 inches less than its width the area of the rectangle is 18 in.² what are the dimensions of the rectangle
Answers
Answer:
w=6 in
l=3 in
Step-by-step explanation:
let w = width and length be 'w-3'
Two sides of w and two sides of (w-3) equal 18 sq in
18=2(w)+2(w-3)
18=2w+2w-6
4w=24
w=6
The width of rectangle is, 6 in.
And, Length of rectangle is 3 in.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of a rectangle is 3 inches less than its width
And, the area of the rectangle is 18 in.²
Now, We know that;
Area of rectangle = Length × Width
Let the width of rectangle = x
Hence, Length of rectangle = x - 3
Thus, We get;
Area of rectangle = Length × Width
18 = x (x - 3)
18 = x² - 3x
x² - 3x - 18 = 0
x² - (6 - 3)x - 18 = 0
x² - 6x + 3x -18 = 0
x(x - 6) + 3 (x - 6) = 0
(x - 6) (x + 3) = 0
x = 6 , x = - 3
But dimensions are not negative.
Hence, We get;
x = 6
Thus, the width of rectangle = 6 in.
Hence, Length of rectangle = x - 3
= 6 - 3 = 3 in.
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Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______
Answers
The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pizzas do you need to sell to earn $132?
1: Set up an equation
2:Solve the problem.
Answers
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
Solve the system of linear equations by multiplying.
{−2x + 2y =4
{−4x + 8y =24
Answers
Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]
Hence,
The solution set is (2,4).
What is the product of:
200 x 32.6.
Answers
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
What is the equation for this graph
Answers
Happy holidays!
MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations
Answers
48/6 = 8
The 6 student each handed out 8 invitation
Can someone rewrite the following equation into slope-intercept form ?
6x-7y=3
Answers
Work out: 6x-7y=3
Subtract x to isolate y
-7=-6x+3
Dived -7 to both sides to isolate y
Y=6/7-3/7
PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!
The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.
Have a good day!!
Answers
I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)
btw I like your pfp :D
C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4
Answers
Answer:
36 ÷ 9= 4
Step-by-step explanation:
9 x 4= 36
The division equation for this is 36 ÷ 9= 4
The product of the expression 9 and 4 is 36.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Give that we have to multiply 9 with 4.
This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.
In both cases, the product must be the same.
9 multiplied by 4 = 9 + 9 + 9 + 9
Which is also equal to,
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
= 36
Hence the product is 36.
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yall help im drowning in work. 19 = 4a − 12
Answers
Answer:
a=7.75
Step-by-step explanation:
19 = 4a − 12. 19+12=31. 31/4=7.75
Answer:
7.75
Step-by-step explanation:
19 = 4a - 12
add 12 to both sides
31 = 4a
divide by 4 to isolate the variable
7.75 = a
A square root function has a domain of x > 5 and a range of y > 7. What is the range of its inverse?
Answers
Answer: C
Step-by-step explanation: just did the quiz
Using function concepts, it is found that the range of the inverse function is:
[tex]y \geq 5[/tex]
The range of a function is the data-set that contains all possible values the function can assume, that is, the values of y.In the inverse function, the inputs and outputs are exchanged, that is, the values of x on the function are the values of y on the inverse, and the values of y on the original function are the values of x on the inverse function, thus, the domain and range are also exchanged.In the original function, x assumes values in the interval [tex]x \geq 5[/tex], hence, in the inverse function, the values assumed by y, which is the range, is [tex]y = \geq 5[/tex]
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