Answer:
[tex]Rate = -2h-1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]Interval: [1,1+h][/tex]
Required
The average rate of change
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex][a,b] = [1,1+h][/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
Calculate f(1+h) and f(1)
[tex]f(x) = -2x^2 + 3x - 7[/tex]
[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]
[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]
Evaluate squares and open bracket
[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]
[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]
[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]
Collect like terms
[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]
[tex]f(1+h) = -2h^2-h-6[/tex]
So, we have:
[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]
[tex]Rate = \frac{-2h^2-h}{h}[/tex]
Factorize the numerator
[tex]Rate = \frac{h(-2h-1)}{h}[/tex]
Divide
[tex]Rate = -2h-1[/tex]
Which expression is equivalent to 5(4x +3)-2x?
A- 18x+15 B- 18x+3 C- 7x+3 D- 2x+8
Answer:
A. 18x + 15
Step-by-step explanation:
For this problem, we will simply simplify the given expression:
5(4x + 3) - 2x
= 5*4x + 5*3 - 2x
= 20x + 15 - 2x
= 20x - 2x + 15
= 18x + 15
Cheers
Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:
IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, ;)
Answer: 9/6 and 6/4 are equivalent
Step-by-step explanation:
If you simply 9/6, you get 1 3/6
Simplify 6/4, you get 1 2/4
3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.
Hope this helped ;D
first person to answer gets brainliest just type anything
Answer:
oh um thank you
Step-by-step explanation:
have a great day
Answer:
Thank you so much, but can I get Brainiiest I was first. :)
Step-by-step explanation:
Can someone please help me?
Answer:
Take a ruler and measure the distance between Kalamazoo and Ann Arbor, in centimetres, or inches.
Step-by-step explanation:
I cannot tell you the ACTUAL measurement because you only posted a picture.
5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False
Find the measure of the angle indicated. Assume that lines which appear tangent are tangent.
will give 20 points :)
Answer:
D. 69°
Step-by-step explanation:
I think you divide 222° by 2, which equals 111, then subtract that from 180°, which equals 69°.
(3,0) ,(2,-1) find the slope
Answer:
-1
Step-by-step explanation:
y=-1+2
Find an equation of the line that bisects the acute angle formed by the graphs of negative 5X plus 7Y +4 equals zero and 7X minus 5Y +6 equals zero
Answer:
Step-by-step explanation:
x+ y = 0
and
-2x + 5y + 2 = 0
Step-by-step explanation:
given line
3x+5y+2=0
5x+3y-2=0
solution
when two line bisect each other then line equation of bisector is express as
1
and here
A1 = 3
B1 = 5
C1 = 2
and
A2 = 5
B2 = 3
C2 = -2
so now put value in equation 1 we get
solve it we get
-2x + 5y + 2 = 0 1
and
3x+5y+2 = - ( 5x+3y-2 )
solve it we get
8x + 8y = 0
x + y = 0 2
Answer: D -12x +12y -2 =0
Step-by-step explanation:
Edge 2021
Help me please .......no link What is the slope of the line given by the equation below?
y = 12x - 23
what fraction of an hour is 6 minutes? give answer in its simplest form
Answer:
fraction is 1hr has 60 min so 6/60 is 1/10th fraction
Step-by-step explanation:
Answer:
QUESTION: what fraction of an hour is 6 minutes? give the answer in its simplest form.
ANSWER: 0.100
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if you foul t he shooter, t he shot 'vill be missed, but t'vo free thro,vs will be a'varded. Each free thro'v is an independent Bernoulli trial 'vith success probability p. Based on the expected number of points the shooter 'vill score, for what values of p may it be desirable to foul the shooter?
Answer:
0.06
Step-by-step explanation:
The computation of the value of p is shown below;
P in the case (2 points if not fouled) = 0.6
Now Expected points if not fouled is
= 0.6 × 2
= 1.2
Now Expected points from free throw is
0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p
As we can see that 2p would be lower tha 1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter
Ill gove brainlyist and 40 points pleaseee
Find the area of this triangle,
Round to the nearest tenth.
4 ft
37
10 ft
[? ] ft2
Answer:
12
Step-by-step explanation:
Hello There!
When we are given two side lengths and the included angle we use this formula to solve for the area
[tex]A=\frac{1}{2} absin(C)[/tex]
where a and b = the side lengths and c = the included angle
The triangle gives us the following information
side length - 10 ft
side length - 4 ft
included angle - 37
Given this information we plug it into the formula
[tex]A=\frac{1}{2} 4*10sin(37)\\10*4=40\\40sin(37)=24.07260093\\\frac{24.07260093}{2} =12.03630046[/tex]
Finally we round to the nearest tenth and get that the area of the triangle is 12ft²
A box plot is shown below:
A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors.
What is the median and Q3 of the data set represented on the plot?
Median = 30; Q3 = 44
Median = 36; Q3 = 44
Median = 30; Q3 = 39
Median = 36; Q3 = 39
Answer:
c
Step-by-step explanation:
A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?cans
Answer:
7/10
Step-by-step explanation:
We need to divide the 7 liters by the 10 liters that each can holds.
Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)
Answer:
she solved it incorrectly
Step-by-step explanation:
8x=64
8x÷8=64÷8
x=8
Answer:
no she did not
8x=64
÷8 ÷8
x=8
Step-by-step explanation:
simple
Evaluate tan(sin-1(-5/13)). Enter your answer as a fraction using the slash bar.
I will mark brainliest! Thank you!!
Find the measure of 44.
24
158°
4.4 = [?]
Answer:
Solution given:
< 4+ < 158= 180 [co- interior angle]
<4=180-158-22°
<4=22°
Your favorite pizza shop chargers $12 for any pizza plus $0.75 per topping. You have $20 to spend. At most, you can buy a pizza with [blank]
toppings.
Answer:
$15 - $11.50 = $3.50
$3.50 divided by .75 is 4.666
Which means the maximum number of toppings they can get is 4
Step-by-step explanation:
Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?
Answer:
19 oz
Step-by-step explanation:
Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.
Hope this helped!
What doesn't belong: 3 11 6 66 33
Answer:
Step-by-step explanation:
6
Answer:
11 Doesn't belong because there are a 3 and 33, 6 and 66, but no 1 before 11.
Help please explain how you got the answer
Answer: V≈900 ft³
Step-by-step explanation:
Formula
V=πr²h
Given
r=5 ft
h=12 ft
Solve
V=πr²h
V=π(5)²(12)
V=π(25)(12)
V=300π
V≈300(3)
V≈900 ft³
Hope this helps!! :)
Please let me know if you have any questions
Please this is due in 10 minutes i need help.
Answer: B. V=(1/2)(4)(1.5)(6)
Step-by-step explanation:
The formula for Volume of triangular prism:
V=bh
b=the triangle (area of a triangle)
h=height of the triangular prism
V=bh
V=(1/2)(4)(1.5)(6)
Hope this helps!! :)
Please let me know if you have any questions
A bucket can hold a total of 5 gallons of water. If the bucket is 45% full, how much water is in the bucket?
Answer:
2.25 or 2 1/4 gallons of water
Step-by-step explanation:
5*0.45=2.25
Fraction form 2 1/4
Decimal form 2.25
Hope this helps :)
The amount of bucket that is filled is 2.25 gallons of water
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total amount the bucket of water can hold = 5 gallons
The percentage of bucket that is full = 45 %
So ,
The amount of bucket of water that is full is =
percentage of bucket that is full x total amount the bucket of water can hold
The amount of bucket of water that is full is = ( 45 / 100 ) x 5
= 0.45 x 5
= 2.25 gallons
Hence , the amount of water that the bucket is filled is 2.25 gallons
To learn more about equations click :
https://brainly.com/question/10413253
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Use the properties of exponents to identify which exponential function is equivalent to f(x) = x5/6. x11/6
A)
f(x) = x8/3
B)
f(x) = x55/6
C)
f(x) = x55/12
D)
f(x) = x55/36
Answer:
A
Step-by-step explanation:
did the problem
A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
someone please answer this correctly!!!
Answer:
25 and 36
Step-by-step explanation:
5×5 < 35 < 6×6
25 < 35 < 36
I hope it helps you. If it helps don't forget to like and mark me
hi can you please help me with my work
HELP I BEG
Solve the linear equation and explain why it’s either one solution, infinite solution or no solution
2(4+2.5x)+7 = -3(x-5)
Answer:
infinite solution , b/c when i graphed it , it showed a line that went on & on
Step-by-step explanation:
2(4+2.5x)+7 = -3(x-5)
8+5x+7=-3x+15
15+5x=-3x+15
2x=0
no link answers please!!
Which of the following are solutions to the equation below?
Check all that apply.
x^2 - 2x - 24 = 0
O A. 6
O B. -4
O C. -6
O D. 4
O E.-24
Answer: X= 6 or X=-4
Step-by-step explanation:
[tex]x^{2} -2x-24=0\\(x-6)(x+4)=0\\x-6=0 --> x=6\\x+4=---> x=-4[/tex]
Put the following equation of a line into slope-intercept form, simplifying all fractions 4x+12y=48 (WITH A EXAMPLE) PLSS HELP I'M UNDER THE WATER