Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
For each ordered pair, determine whether it is a solution to y=-3x-7.
Is it a solution?
Х
5
?
(x, y)
Yes
No
(8, -56)
(-5,8)
(-9, -23)
(4, 19)
Answer:
(-5,8)
Step-by-step explanation:
The given equation y = -3x - 7 holds true for the ordered pair, so (-5, 8) is a solution. Thus, option third is correct.
To determine whether each ordered pair is a solution to the equation y = -3x - 7, we substitute the x and y values into the equation and check if it holds true.
For the ordered pair (8, -56):
y = -3x - 7
-56 = -3(8) - 7
-56 = -24 - 7
-56 = -31
The equation does not hold true for this ordered pair, so (8, -56) is not a solution.
For the ordered pair (-5, 8):
y = -3x - 7
8 = -3(-5) - 7
8 = 15 - 7
8 = 8
The equation holds true for this ordered pair, so (-5, 8) is a solution.
For the ordered pair (-9, -23):
y = -3x - 7
-23 = -3(-9) - 7
-23 = 27 - 7
-23 = 20
The equation does not hold true for this ordered pair, so (-9, -23) is not a solution.
For the ordered pair (4, 19):
y = -3x - 7
19 = -3(4) - 7
19 = -12 - 7
19 = -19
The equation does not hold true for this ordered pair, so (4, 19) is not a solution.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ4
45 is 26% of what number? Round to the nearest hundredth if necessary.
A. 11.7
B. 173.08
C. 1.73
D. 0.58
Help! Thx so much its pretty easy! u guys r da best!
Answer:
36
Step-by-step explanation:
Conjugate of z = -3-5i
Therefore the expression is equivalent to (-3+5i)(-3-5i).
(-3+5i)(-3-5i)
=(-3)^2-(5i)^2
=9-(-25)
=36
Answer:
z (the conjugate of z) = 34
A cherry pie has a 16 inch diameter. What is its approximate area? Round to the nearest hundredth. (Use 3.14 for π)
Answer:
200
Step-by-step explanation:
Formula to find the area: πr²
First, find the radius: 16 ÷ 2 = 8
The radius is 8. So...
= 3.14 (8²)
= 3.14 × 64
= 200.96
Rounded to the nearest hundredth: 200
Answer:
200.96
Step-by-step explanation:
A=3.14r^2(formula for area of a circle)
r=16/2=8
r=8
A=3.14*8^2=200.96
Calculate the Distance between the ordered pairs (-2, 3) and (4, -7). Use graph paper if necessary.
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Answer:
For Literature = 90 pages
For Grammar = 60 pages
Step-by-step explanation:
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Literature : Grammar
3 : 2
Total number of Proportion = 3 + 2 = 5
For Literature
= 3/5 × 150 pages
= 90 pages
For Grammar
= 2/5 × 150 pages
= 60 pages
if John has test scores of 90 and 76 with one test remaining to be taken, what score must he make on the last test to end up with an 86 average?
Answer: The last score must be 92%
Step-by-step explanation: To find the average, you add all the terms, then divide by the number of terms.
86 = [tex]\frac{90 + 76 + x}{3}[/tex]258 = 90 + 76 + x (multiple both sides by 3)258 = 166 + x (combine like terms)92 = x (subtract 166 from both sides)36+5 to the 3rd power as an expression
Answer:
the expression is (36+5)³
Find the value of X, Y, Z
Answer:
Answers are in photo
Step-by-step explanation:
Do it in terms of ratio
Please answer as soon as possible.
Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no
Answer:
There is not a proportional relationship
Step-by-step explanation:
The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.
Answer:
Yes, the proportional relationship is 9.50
Step-by-step explanation:
In the graph that you have attached this picture with, hours x 9.50 = pay.
Hope this helps :D
solve -3 + 1/2n = 1/2 (-n + 14) in 2 different ways 30 points if u answer and show your work.
Answer:
3
Step-by-step explanation:
Jose has 3/5 kilograms of peppermints and 2/3 kilograms of of candy canes how much candy dose he have
Distribute : 2(2x-6)
He he please
Answer:
4x -12
Step-by-step explanation:
is that what u needed lol
Step-by-step explanation:
-24 ==== ( 2×-6=-12___-12×2= -24)
chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?
Answer:
Her height would be 162.56 centimeters tall.
Step-by-step explanation:
There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.
30.48 x 5 = 152.4
Add the 4 extra inches so 4 inches in centimeters is 10.16
152.4 + 10.16 = 162.56
Which price is equivalent to $1.50 for 1 pound of apples?
A.. 6 pounds of apples for $9
B..8.5 pounds of apples for $9
C..9 pounds of apples for $9
D..13.5 pounds of apples for $9
Please help ASAP i really need help
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
6th grade please help!
Answer:
68
Step-by-step explanation:
F = 1.8(20)+32 = 68
Please help me on thisss
Answer:
Step-by-step explanation:
Substitute the value for x.
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
please help will mark brainliest
Answer:
[tex]m\angle N=57^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].
Therefore:
[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .
Answer:
LMN is rectangle in L so LMN= 180° ; ML=66°;N=? N= 180°- 66°=114=114/2= 57° so N=57°
Step-by-step explanation:
When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.
The perimeter of a rectangle is 28 inches. The length is 6 less than 3 times the width. What is the length of the rectangle?
Answer: The length is 9 inches.
Step-by-step explanation:
L = 3w - 6 (the length is 6 less than 3 times the width).28 = 2(3w - 6) + 2w (plug in width and length --> multiplied by 2 because of perimeter).28 = 6w - 12 + 2w (distribute)28 = 8w - 12 (combine like terms)40 = 8w (add 12 to both sides)5 = w <-- widthFind the length:
L = 3w - 6L = 3(5) - 6L = 15 -6L = 9 inAnswer:
The length is 9.
Step-by-step explanation:
Please help this is due in afew hours
Answer:
We can write the equation for the first part of this problem as:
16
+
4
x
=
10
+
14
We can now solve for
4
x
:
−
16
+
16
+
4
x
=
−
16
+
24
0
+
4
x
=
8
4
x
=
8
To find the value of
8
x
we can multiply each side of this equation by
2
:
2
×
4
x
=
2
×
8
8
x
=
16
Step-by-step explanation:
The expression 20a + 13c is the cost (in dollars) for adults and students to enter a science center. Find the total cost for 4 adults and 24 students.
Answer:
$392
Step-by-step explanation:
Given the expression :
Total cost = 20a + 13c
a = adult
c = student
The total cost for 4 adults and 24 students
a = 4 ; c = 24
Total cost :
20(4) + 13(24)
80 + 312
= $392
Which shows how much water drips the faucet hour each
Answer:
2.5 ounces drip from the faucet per hour.
Step-by-step explanation:
You can figure this out by dividing the amount of water (7.5) by the hours (3).
7.5/3 = 2.5
To check your work you can do the same for the other combinations.
10/4=2.5, 12.5/5=2.5....
I hope this helped :)
I'm horrible at this please help:((((
Step-by-step explanation:
You can insert different values of x to find y
For example:
x = 4
Plug in x into the equation
y = -1/2(4) + 5
y = -2 + 5
y = 3
So your point will be (4, 3)
If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.
Hope this helped you!!
Which equation matches the graph?
In the xy graph, the range of both axes is minus four to four by increment of one. On both axes every alternate tick marks are labeled. The line on the graph passes through the points (0, -1) and (-1, 3).
A. y = 3x – 8
B. y = –2x + 1
C. y = –4x – 1
D. y = 2x – 5
Answer:
Step-by-step explanation:
we can easily find this by looking at our y intercept
our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for
so C would be oour answer since its the only one with -1 as its constant
hope this helps <3
0.03y=-0.01x+0.12
HALP
GRAPH PLEASE
1 of 5
© Angad and Nick win some money and share it in the ratio 5:1. Angad gets £60 more than Nick.
How much did Nick get?
Answer:
£15
Step-by-step explanation:
Angad : Nick = 5 : 1
Let
Nick share = x
Angad share = x + £60
Angad : Nick
5 : 1 = x + £60 : x
5/1 = x + 60 / x
Cross product
5 * x = 1 * x + 60
5x = x + 60
5x - x = 60
4x = 60
x = 60/4
x = 15
Nick get £15
negative 5 1 half plus 7 3 over 4
Answer:
[tex] 2 \dfrac{1}{4} [/tex]
Step-by-step explanation:
[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]
[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]
[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]
[tex] = 2 \dfrac{1}{4} [/tex]