Answers
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 1 ]
f(b) = f(1) = 3 ← value of y when x = 1
f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1
average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]
Related Questions
When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?
Answers
Answer:
23.33 (rounded down 23)
Step-by-step explanation:
Help .What is the measure of angle A?
Answers
Answer:
58
Step-by-step explanation:
Solve for t -7/4 =2/5t
Answers
Answer:
t = 35/12
Step-by-step explanation:
t - 7/4 = 2/5 t
t = 2/5 t + 7/4
t - 2/5 t = 7/4
t*(1-2/5) = 7/4
t*3/5 = 7/4
t = (7/4)/(3/5)
t = 7*5/4*3
t = 35/12
Which equation is equivalent to 3(1 – x) = 2x - (6x+3)?
Answers
Answer:
3-3x=-4x-3
Please correct me if I am wrong.
Step-by-step explanation:
Option A is equivalent to 3(1 – x) = 2x - (6x+3) That is :
3 – 3x = -4x+3
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
3(1 – x) = 2x - (6x+3)
multiply 3 with inside the parenthesis in the left side of equation :
3 – 3x = 2x - (6x+3)
subtract 2x with 4x and simplify :
3 – 3x = 2x - 6x+3
3 – 3x = -4x+3
this result is equivalent to option A which will give the same result.
Therefore, Option A is equivalent to 3(1 – x) = 2x - (6x+3).
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Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music? (5 points)
A. 696
B. 1,200
C. 58
D. 100
Answers
the Answer is c
Step-by-step explanation:
I think it’s the first one, am I correct?
Explain!
Answers
Answer:
yes by SAS
Step-by-step explanation:
EN = RP
EM = PQ
Angle N = Angle R
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answers
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
taylor's little sister is 3 feet and 4 inches tall. there are 2.54 centimetres in one inch. what is the height of taylor's sister in centimetres
Answers
Answer:
101.6 cm
Step-by-step explanation:
3 ft = 36 in
36 in + 4 in = 40 in
40 * 2.56 = 101.6 cm
Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.
Answers
Answer:
[tex]x = \{3,4,5\}[/tex]
Step-by-step explanation:
Given
[tex]3x + 4 > 10[/tex]
[tex]x < 6[/tex]
Required
Solve
We have:
[tex]3x + 4 > 10[/tex]
Collect like terms
[tex]3x > 10 - 4[/tex]
[tex]3x > 6[/tex]
Divide by 3
[tex]x > 2[/tex]
So, we have:
[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)
This implies that:
[tex]x = \{3,4,5\}[/tex]
Choose the function whose graph is given by:
A. y= -sin x + 2
B. y= sin x + 2
C. y = cos x-2
D. y = -COS X + 2
Answers
Answer: y= sin x+2
Step-by-step explanation:
Option b. equation y= sin x + 2 is showing the given graph.
What is function?A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
The graph of equation y= sin x + 2 is showing in the picture.
Hence, equation y= sin x + 2 is showing the given graph.
Learn more about function:
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when twice a number is increased by 10, the sum is 42.what is the number?
Answers
what is the volume of this?
Answers
Answer: 41,472
Step-by-step explanation:
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces.
Answers
Answer:
the red cup contains the highest amount of tomato juice
the blue and yellow cup contain the same amount of juice
the difference between the highest amount and the lowest is 10 ounces
Step-by-step explanation:
convert all the other measurements to ounces
i cup = 8 ounces
6 x 8 = 42
1 p = 16 ounces
16 x 2 = 32
What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2
Answers
Answer:
X=2, y=5
Step-by-step explanation:
Y=3x-1 equation 1
-4x+2y=2 equation 2
-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e
-4x+6x-2=2 distributative property
2x=4 solve above equation
x=2
solve for y:
y=3x-1
y=3(2)-1
y=6-1
y=5
If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees
Answers
Answer:
[tex]\angle 2 =60[/tex]
[tex]\angle 3 = 60[/tex]
[tex]\angle 4 = 120[/tex]
[tex]\angle 5 = 120[/tex]
[tex]\angle 6 = 60[/tex]
[tex]\angle 7 = 60[/tex]
[tex]\angle 8 = 120[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 120^\circ[/tex]
See attachment
Required
Determine the other angles
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.
So;
[tex]\angle 1 + \angle 2 =180[/tex]
Make [tex]\angle 2[/tex] the subject
[tex]\angle 2 =180 - \angle 1[/tex]
[tex]\angle 2 =180 - 120[/tex]
[tex]\angle 2 =60[/tex]
[tex]\angle 1[/tex] , [tex]\angle 4[/tex], [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.
So;
[tex]\angle 4 =\angle 1 = 120[/tex]
[tex]\angle 5 =\angle 1 = 120[/tex]
[tex]\angle 8 =\angle 1 = 120[/tex]
Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex], [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.
So;
[tex]\angle 3 =\angle 2 = 60[/tex]
[tex]\angle 6 =\angle 2 = 60[/tex]
[tex]\angle 7 =\angle 2 = 60[/tex]
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Answers
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Help me please |7-11|=
Answers
Answer:
-4
Step-by-step explanation:
7- 11= -4
Answer:
4, 7-11=-4, but absolute value cant be negative
Step-by-step explanation:
N
Which equation represents a proportional relationship?
Y=x+1/3
Y=3X+1/3
Y=1/3X
Answers
Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?
Find the diameter of the reservoir. 18 m A 42 m В The diameter of the reservoir is meters.
Answers
Find the value of x ???????????? V
Answers
Step-by-step explanation:
By using formula of h^2=p^2+b^2
h=20
p=x
b=10
Now,
p=root h^2-b^2
x=root 20^2-10^2
x=root 400-100
x=root 300
x= 10root3
If a quadratic function is concave down, which of the following is true?
a is positive
a is negative
a is zero
Answers
Answer:
a is negative i think
Answer plzz fast 5. What fraction of the students spent at least 8 hours doing homework
that week? Express in lowest terms. *
Answers
Answer:
4/5
Hope this helps!!
Find the area of this circle. Use 3 for T.
A = r2
10 ft
[?] ft2
Answers
Step-by-step explanation:
Area of circle =πr²
3×5×575ft²stay safe healthy and happy.Answer:
The area is 75
Step-by-step explanation:
Because 10/2 is 5
5x5=25
25x3=75
If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?
Answers
Answer:
Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.
Which of the following expressions represent “subtract 17 from x”
A. 17-x
B. x-17
C. -17x
D. -x-17
Answers
Answer:
B. x - 17
Step-by-step explanation:
It says to subtract 17 from x.
Answer:
B. x-17
Step-by-step explanation:
Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
Answers
3х +7
2х + 3
x= ? please help i’m almost done with school
Answers
Answer:
34
Step-by-step explanation:
Add them together
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
Can someone help me with this
Answers
Answer:
Options A, C, and F
Step-by-step explanation:
Estimate
9.7 + 42.9
HURRY PLEASE <3
Answers
Answer:
52.6 or you can make it 52.5
Step-by-step explanation:
I NEED HELP WITH THIS ASAP PLEASE
Answers
Answer:
25.7, hope this helps
Step-by-step explanation: