Please help me with ptomblem
Answer:
When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.
Step-by-step explanation:
✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:
[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]
[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)
Collect like terms
[tex] p^2 - p^2 + p + 4p - 6 [/tex]
[tex] 5p - 6 [/tex]
✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:
[tex] (5p - 6) - (p - 9) [/tex]
[tex] 5p - 6 - p + 9 [/tex] (distributive property)
Add like terms
[tex] 4p + 3 [/tex]
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
This scatter plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
A 3 inches
B 5 inches
C 7 inches
D 8 inches
The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.
Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Learn more about scatter plots here: https://brainly.com/question/29231735
#SPJ5
true or false the five ways to display a relation are with ordered pairs, tables, mapping diagrams, a graph, and an equation.
Answer:
I would say false
Step-by-step explanation:
the five ways i learned: Graph, Table, Symbols, Words, & Picture/context.
solve the solution of the equations 10x-3y=3 and 2x+y=9
Answer:
x=1.875 y=-0.875
Step-by-step explanation:
10x-3y=3 10x-3y=3
3(2x+y)=(9)3 +6x+3y=27
1/16(16x)=(30)1/16 = x=1.875
10x-3y=3 10x-3y=3
-5(2x+y)=(9)-5 -10x-5y=4
1/-8(-8y)=(7)1/-8 = y=-0.875
State all integer values of x in the interval (2,8) that satisfy the following inequality:
5x + 4 > 19
Answer:
3,4,5,6 and 7
Step-by-step explanation:
Given
[tex]5x + 4 \ge 19[/tex]
Required
State the values of x within 2 and 8
[tex]5x + 4 \ge 19[/tex]
Collect Like Terms
[tex]5x \ge 19 - 4[/tex]
[tex]5x \ge 15[/tex]
Divide both sides by 5
[tex]\frac{5x}{5} \ge \frac{15}{5}[/tex]
[tex]x \ge 3[/tex]
(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.
So:
The values of [tex]x \ge 3[/tex] are: 3,4,5,6 and 7
Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?
Answer:
$3.05?
Step-by-step explanation:
Help what the answer to the question
Answer:
216
Step-by-step explanation:
120 divided by 6 equals 20 so 100 divided by 6 equal 16
Melissa runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
write a word problem for 8x - 5 = 40
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
Solve the system of equation by elimination.
x+2y= -7
-x-2y=8
A. (8,7)
B. No solution
C. (-7,8)
D. (-8,7)
If you can, please explain step by step:)
Roy works at the local grocery store and is paid $6.00 per hour. The
graph shown describes his salary, s, based on the number of hours, the
works.
S
19
18
17
16
15
14
18
12.
11
10
I
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8
Which is an equation of the graph shown?
OA:
S=6+t
B:
S = 60
S
OD:
Mark Question For Review
Answer:
S=6t
Step-by-step explanation:
6 dollars per hour
PLEASE HELP ME DO THIS
Answer:
Perimeter = 8x
Step-by-step explanation:
If I can see correctly, the area of the squares are x². Area is just s², so we can find one side by finding the square root of x², which is x. Now that we know that x is one side, we can count the amount of sides and multiply that number by x.
There are 8 sides, so the answer is P = 8x
What is the measure of
Answer:
58, 66, and 56 just for U It would be 66
Step-by-step explanation:
Because the both triangles are congruent (The same)
Answer:
66
Step-by-step explanation:
2.12.3
HELP ME ITS URGENT I NEED THIS TODAY
Answer:
Perhaps, x = 9 ?
Step-by-step explanation:
A recipe calls for 2/3 cups of sugar per batch. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
Answer:
8
Step-by-step explanation:
In order you find the answer, you must divide 5 1/3 by 2/3.
In order to do this, you have to convert 5 1/3 into an irregular fraction, by multiplying 5 by 3 and adding it to 1. You'll end up with 16/3
When dividing fractions, you multiply the first number by the reciprocal of the second. 16/3 is the number being divided, so 2/3 will be our second number. The reciprocal of 2/3 is 3/2.
16/3 x 3/2 = 8.
tyler plans to start a lemonade stand and is trying to perfect his recipe of lemonade. he wants to make sure the recipe doesnt use too much lemonade mix (lemon juice and sugar) but still tastes good.
Answer:
All he has to do is make it taste good.
Step-by-step explanation:
Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
she earned $4 per hour less than she originally calculated. How long had she anticipated it would take to do
the job?
Answer: 44 hours.
Step-by-step explanation:
Marisol is being paid $792.
We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:
T + 8 hours.
The amount of money per hour that she expected is calculated as:
$792/T = X
And for those 8 extra hours, she won $4 less per hour, then we have:
$792/(T + 8hs) = X - $4
Then we have a system of equations:
$792/T = X
$792/(T + 8hs) = X - $4
To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:
$792/(T + 8hs) = $792/T - $4
Now we can solve this for T.
$792 = ($792/T - $4)*(T + 8hs) = $792 + $792*(8hs/T) - $4*T + $32*hs
0 = $792*(8hs/T) - $4*T + $32*hs
Let´s multiply this both sides by T
0*T = ($792*(8hs/T) - $4*T + $32*hs)*T
0 = $792*8hs - $4*T^2 +$32*T*hs
This is a quadratic equation, where i will write this witout units so it is easier to read and follow:
0 = -4*T^2 + 32*T + 792*8
The solutions cab be found by using the Bhaskara´s formula, these are:
[tex]T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}[/tex]
Then the solutions are:
T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)
The other solution is:
T = (-32 - 320)/-8 = 44 hours.
Then we can conclude that she expected the job would take 44 hours in total.
Does this graph represent a function? Why or why not?
I needddddddddd helppppppppp
Answer:
[tex]\frac{2}{-3}[/tex]
Step-by-step explanation:
To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]
(1,-2) (4,-4)
[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]
The value 9 is 200% of what number?
Answer:
18
Step-by-step explanation:
If 100% is 9 then you need to multiply by 2 to get 200% which is 18.
Answer:
4.5
Step-by-step explanation:
To get from 200% to 100%, you have to divide by 2, so then do the same thing to 9.
9 divided by 2 is 4.5
The dimensions if a square are doubled. What happens to the are of the square? A) The area triples B) The area doubles. C) The area quadruples. D) The are stays the same.
Answer:
THE ANSWER IS B
Step-by-step explanation:
HELP! It's really easy! It's due really soon but I have other assignments I need to get done... Please and thanks!
Answer:
35.235
5.62
23,845.05
0.727
22.325
Step-by-step explanation:
Answer:
35.235, 5.62, 23845.05, 0.727, 22.325.
Step-by-step explanation:
hope this helps! pls give brainliest!
can i please have help with this question
Answer:
500 millieters
Step-by-step explanation:
1 liter is 1000 millileteres
so .5 liters is 500 millileters
Answer:
500
Step-by-step explanation:
1 liter equals 1000 milliliters and it is half/.5 which is 500
What steps would you follow in order to solve the equation?
subtract 4 on each side and divide by 8
add 4 on each side and divide by 8
add 4 on each side and multiply by 8
subtract 4 on each side and multiply by 8
Answer 259.2 -4 divided 8=-0.5+4=4.5 divided by 8=0.5625+4=4.5625x8=36.5-4=32.4x8=259.2
Answer:
bro what's the equation?
Step-by-step explanation:
Karen finished watching a movie at 1:10pm. The movie lasted 1 hour 38 minutes. Click on the time Karen started watching the movie.
Answer:
11:32
Step-by-step explanation:
Karen probably started watching the movie at 11:32 because 11:32 + 1:38 = 1:10.
32+ 38= 70, so 11:00 + 70 = 12:10, plus 1 hour = 1:10.
Answer:
11:32
Step-by-step explanation:
The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale
Answer:
150
Step-by-step explanation:
3000/20
150.
$$$$$$$$$$$$$$$$$
GIVING BRAINLIST am i right?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play