Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].
Answer:
2
Step-by-step explanation:
The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.
[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]
[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]
[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]
[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]
I'll give brainliest!! I put this up nearly an hour ago and got no answers
Answer:
The integers are
1st: n
2nd: n + 1
3rd: n + 2
The words in the problem statement translate into
2(n + 1) = 3(n + 2) + 6
Solve for n.
2n + 2 = 3n + 12
n = -10
n + 1 = -9
n + 2 = -8
Step-by-step explanation:
(10-1)(10-2)(10-3)(10-10)
Answer:
0
Step-by-step explanation:
[tex](10 - 1)(10 - 2)(10 - 3)(10 - 10)[/tex]
10-10 is zero and Anything multiply by a factor of 0 equal 0 so
0 is the answer
Answer:
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
10-10 is zero and Anything multiply by a factor of 0 equal 0 so
0 is the answer
Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer
Answer:
A (the firs one)
Step-by-step explanation:
Intersecting at (-3, 3)
find the slope of the line that is perpendicular to the line graphed in the figure
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.
The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.
Given data:
To calculate the volume of the warehouse, you need to multiply its length, width, and height:
Volume = Length * Width * Height
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Given the dimensions:
Length = 22.4 meters
Width = 11.3 meters
Height = 5.2 meters
Substitute these values into the formula:
Volume = 22.4 m × 11.3 m × 5.2 m
Calculate the result:
Volume = 1,316.224 m³
So, the volume of the warehouse is approximately 1,316.224 cubic meters.
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Which of the following shows the given inequality as an equivalent inequality in which the inequality symbol points in the opposite direction?
8 - 2<8
O 2 <8-2
O 8 > 8 + 2
O2 <2 - 8
08>8 - 2
O 8 = 8 - 2
Answer:
8 > 8 - 2
Step-by-step explanation:
because that is just the other side of the same "coin".
8 - 2 < 8
data exactly the same thing as
8 > 8 - 2
Factorise fully 9m^2-12mp
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
3m(3m - 4p)
Step-by-step explanation:
Given
9m² - 12mp ← factor out 3m from each term
= 3m(3m - 4p) ← in factored form
a group of people were given a personality test to determine if they were Type A or Type B. the results are shown below Type A Male = 55, Type B Male = 48, Typa A female= 75,
compare P(Male or Type B) with P(Male | Tyoe B)
Answer:
Below<3
Step-by-step explanation:
Type a : 55 75
Type b:48 22
= P(Male | Type B)> P(Male or Type B)
Describe the operations that are
happening to the variable x in each
equation.
1) -x+ 12 = 8
2) 2x+3/5 = 2
3) -2(x/5 -3) = 3
Answer:
1. -x+12=8 =-x=8-12-= -x=-4 dbs= 4/x
can you please answer this question
Answer:
168000
Step-by-step explanation:
5/14 to the son.
that leaves 9/14 of the total.
these 9/14 we need to split into 1/3rds, as 2/3 of these 9/14 go to the daughter, and then the remaining 1/3 of these 9/14 to the wife.
how do we do that ?
well, here it is simple, as we see right away that the numerator 9 can be easily split into 1/3rds (9/3 = 3).
but in general by multiplying. so 2/3 of 8/14 is
9/14 × 2/3 = 9×2 / 14×3 = 3×2 / 14 = 6/14
and then little surprising 1/3 is
9/14 × 1/3 = 9 / 14×3 = 3/14
now, we know, these 3/14 are 36000.
what we need to know is how much is 14/14 or 1/1 : the whole amount.
well, the easiest way in my opinion is now to bring it to 1/14 (by dividing by the numerator 3) and then multiply it by 14 (the denominator) to bring the sum to the whole (14/14).
it in total, multiply it with the reverse fraction : 14/3
36000 × 14/3 = 12000×14 = 168000
Which of the following equations could be solved to determine the length of QR?
O A) QR2 = 202 + 272 - cos 99°
B) QR2 = 202 + 272 - 2(20)(27)
C) cos 99 cos R
QR
20
D) QR2 = 202 + 272 - 2(20)(27) · cos 99°
Answer: D) QR^2 = 20^2 + 27^2 – 2(20)(27) ⋅ cos 99°
Step-by-step explanation:
since you have the lengths of two sides and their included angle, you can use the law of cosines to solve for the missing side. let a, b, and c be the side lengths, and A be side a's respective opposite angle:
the law of cosines states that
a^2 = b^2 + c^2 - 2bc ∙ cosA
hope this helped!
Answer:
d
Step-by-step explanation:
quiz
Neee help with 14 I don’t get it
Answer:
d
Step-by-step explanation:
The midpoint is the average of the coordinates of the 2 oak trees
The coordinates are
(3, 6 ) and (7, 3 ) , then
midpoint = ( [tex]\frac{3+7}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{9}{2}[/tex] ) = ( 5, 4.5 ) → d
A man sold a calculator at a loss of 12℅. If selling price was Rs.7040, what was the cost price?
Answer:
Rs.6195.20
Step-by-step explanation:
So first you need to find 12 % of Rs.7040. Thus:
[tex]\frac{12}{100}[/tex] × 7040 = 844.80
Then you subtract 844.80 from 7040 from which you get Rs.6195.20
Rs.6195.20 was the cost price.
HOPE THIS HELPED
Answer the questions below about the quadratic function.
f(x) = – 3x² +6x=1
Does the function have a minimum or maximum value?
Minimum
Maximum
What is the function's minimum or maximum value?
0
Where does the minimum or maximum value occur?
Answer:
perdón yo no hablo inglés
Here is an easy question for points: Bob went to the store and bought four products. He spent $19.87 on a coffee maker, $45.21 on a food processor, and $9.99 on trousers. He also purchased a chair. His entire cost was $100. what was the cost of the chair?
Answer:
24.93
First add all then subtract by 100
Guided Practice
Evaluate y=9• ( 5 2 ) x for x=− 3.
A.
–15.625
B.
0.036
C.
0.576
Answer: C. 0.576
9*(52)=468
x=-3
x= -1404
A.
–15.625
Step-by-step explanation:
y=9*(52)(-3).
y = -1404
Plug in -3 for x and then multiply.
Let's solve for x.
(9)(52)xforx=−3
Step 1: Divide both sides by 468for.
468forx2
468for
=
−3
468for
x2=
−1
156for
Step 2: Take square root.
x=√
−1
156for
or x=−√
−1
156for
Answer:
x=√
−1
156for
or x=−√
−1
156for
Two-thirds a numberx plus 4 is 8.
Answer:
n = 6
Step-by-step explanation:
To solve this you can use an equation such as:
[tex]\frac{2}{3} n+4=8\\\\[/tex]
We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:
[tex]\frac{2}{3}n=4[/tex]
So now we divide both sides by 2/3.
This now equals:
[tex]n=6[/tex]
Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3
Which graph corresponds to the equation: y=−12x−2?
Answer:
Use fx graph to draw this so u can see the graph easier
Step-by-step explanation:
Answer:
Below is the graph of y = -12x - 2. Whichever graph looks like the one below is correct.
Step-by-step explanation:
BRAINLIEST, PLEASE!
3(s-5)/4 -3 = 4s- (s-3)/2
Step-by-step explanation:
The above Question is solved by me... answer in attached picture...
hope it helps...
What is the slope of the line for BOTH graphs? Are the slopes the same or different?
PLS HELP MEEE
Answer:
both are -10
Step-by-step explanation:
#1
x1 y1 x2 y2
1.5 180 6 135
(Y2-Y1) (135)-(180)= -45 ΔY -45
(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5
slope= -10
B= 195
Y =-10X +195
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#2
x1 y1 x2 y2
1 175 8 105
(Y2-Y1) (105)-(175)= -70 ΔY -70
(X2-X1) (8)-(1)= 7 ΔX 7
slope= -10
B= 185
Y =-10X +185
x-1/y-4/xy=-1
-3/y-12/xy=1
Answer:
1) x-1/y-4/xy=-1 Number one, the answer is in picture one.
2) -3/y-12/xy=1 Second, the answer is in picture two.
solve: 24x power 3 -26x power 2 +9x -1=0
Answer:
hiiiiiiii
Step-by-step explanation:
hiiiiiiiii
Answer:
x = 1/2 , x = 1/4 , x = 1/3
Step-by-step explanation:
Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0
You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0
Now make all the above expressions = 0 and solve.
2x - 1 = 0 4x - 1 = 0 3x - 1 = 0
+1 +1 +1 +1 +1 +1
------------------ ------------------ ------------------
2x = 1 4x = 1 3x = 1
/2 /2 /4 /4 /3 /3
------------------- ------------------- ----------------------
x = 1/2 x = 1/4 x = 1/3
Junaid has a rectangular box open from the top as in the figure. He paints base and 4 lateral faces as shown. He paints only up to th of the height of the box to save paint. Find the total surface area he painted.
The surface area is the total area occupied by the object. The surface area of the painted figure is [tex]440m^2.[/tex]
From the attached box, we have the following:
[tex]L = 20m[/tex] -- length
[tex]W = 10m[/tex] --- width
[tex]H = \frac 45 \times 5m = 4m[/tex] --- the painted height
Since the box has an open-top, the surface area is:
[tex]Area = LW + 2(WH + LH)[/tex]
So, we have:
[tex]Area = 20 \times 10 + 2 \times (10 \times 4 + 20 \times 4)[/tex]
[tex]Area = 200 + 2 \times (120)[/tex]
[tex]Area = 200 + 240[/tex]
[tex]Area = 440[/tex]
Hence, the painted area is [tex]440m^2.[/tex]
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10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.
Answer
(3.5 times 5.25) times 4
Step-by-step explanation:
then convert the decimal to a fraction.
Solve the inequality.
4 <-3x – 1= 9
[?]
< x <
[
Hi ;]
4 ≤ -3x - 1 ≤ 9
-3x - 1 ≥ 4 / + 1
-3x ≥ 5 / : (-3)
x ≥ -⁵/₃
-3x - 1 ≤ 9 / + 1
-3x ≤ 10 / : (-3)
x ≤ -¹⁰/₃
-⁵/₃ ≤ x ≤ -¹⁰/₃Find the measure of the number two angles in each figure. Justify each answer
Solve 3x+4/2-6x = -2/5
Answer:
Exact form:
x = 4/5
Decimal Form:
x = 0.8
Step-by-step explanation:
If f(x) = ax + b represents a linear function, describe the a and b values that produce a constant function?
In f(x)=ax+b, 'a' is the slope and b is the initial value or y intercept
Given :
Given function is f(x)=ax+b
f(x)=ax+b is the linear equation
The graph of a linear equation is a line. The value of 'a' tell us the steepness of the line that is the slope of the line .
'b' is the initial value . when x=0, f(x)=a(0)+b
that is f(0)=b
So, 'b' is the initial value or y intercept.
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