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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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
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
factor the expression using the GCF 8x+20y= ( x+ y)
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)
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
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:
What is the equation for this graph
Solve the system of linear equations by multiplying.
{−2x + 2y =4
{−4x + 8y =24
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.
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
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)
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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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 $132?
1: Set up an equation
2:Solve the problem.
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
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)
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.
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
Answer:
The answer is 576
Answer: 512
Step-by-step explanation:
what is (-4) + 3 + (-5)
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)
Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
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
please help me please
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]
Rewrite the division problem as multiplication:
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
yall help im drowning in work. 19 = 4a − 12
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
16.5 × 6.67 - 4.67 × 16.5
A square root function has a domain of x > 5 and a range of y > 7. What is the range of its inverse?
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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Can someone rewrite the following equation into slope-intercept form ?
6x-7y=3
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
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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Convert standard form 4x-2y=6
Answer:
4x(-2)x(-2)=6
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
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
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
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?
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
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?
Step-by-step explanation:
this answer will be 15 I think
C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4
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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FREUUUUUU POINTS +brainlest
Answer:
:P
Step-by-step explanation:
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!!
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
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
Answer:
2
Step-by-step explanation:
The distances traveled by car A car Afx x hours. are. represented by the graph and table below.
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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Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______