Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 3, 7 ] , then
f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10
f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10
average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2
a line has a slope of m=-2 and the point (3, -1) lies on the line.what is the represent the equation of the line in point slope form
Answer:
Step-by-step explanation:
To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.
???????????????????plz
Answer:
right right
Step-by-step explanation:
5(6a +1) = 7(4x + 3) w/steps
Answer:
[tex]\frac{15a- 8}{14} = x[/tex]
Step-by-step explanation:
Step 1 - Divide both sides of the equation by 7:
[tex]5(6a + 1) = 7(4x + 3)\\[/tex]
[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]
Step 2 - Subtract 3 from both sides to isolate the 4x:
[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]
Step 3 - Expand equation:
[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]
Step 4 - Translate -3 into a fraction and add it:
[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]
[tex]\frac{30a - 16}{7} = 4x[/tex]
Step 5 - Divide both sides of the equation by 4:
[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]
Multiply the two fractions together to simplify:
[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]
[tex]\frac{30a - 16}{28} = x[/tex]
Step 6 - Simplify by dividing the fraction by 2:
[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]
[tex]\frac{15a- 8}{14} = x[/tex]
Hope this helps!
pls give all numbers
A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?
Answer:
i think 222 for eatch side
Step-by-step explanation:
help ? lol..
i’m stuck on this
Answer:
24 ?
Step-by-step explanation:
I may be wrong but I believe the answer is 24 since she lost half of her CDs a week later. The number 6 is not important to the word problem as the only information we need in the amount she has left and the amount she lost. I may be wrong so please check the work again?
Answer:
18 CDs
Step-by-step explanation:
To find how many she started with, It says she lost half, meaning she had must have had 24. Because 12 is half of 12. If she lost half of 24, she would have 12 left. Before she bought 24, she had 6 less, because she bought meaning plus, 6. But to get the beggining, you do the oppisite, which is minus 6. So, 24-6 to get 18.
To make sure we are correct plug in 18. She starts out with 18. She buys, 6. So plus 6. 18+6 to get 24. But she then a week later lost half, leaving her with 12 CDs. By seeing this, we can tell, she did in fact, have 18 CDs to start out.
P.S wow she must really be dum b to lose an entire an entire 12 CDs in a couple hours.
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?
Answer: The answer is 4
Step-by-step explanation: 2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
Hope this helps!
Is cell replication the same thing as DNA replication? Or are they two separate things
Answer:
Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.
Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.
Dispersive.
Step-by-step explanation:
Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.
a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?
Answer:
6 students
Step-by-step explanation:
Let the number of notebooks be $x$ and the number of students be $y.$
If there are 5 notebooks per student, we have:
$x-5y=7$
Simliairly, we have 7 notebooks per person, which is:
$x-7y=-5$
Then, using system of equations, we can add multiply the first equation by $-1$ and then add.
We would have:
$-1(x-7y=-5)=-x+7y=5$
Then, adding gives us:
$2y=12$
$y=6$
There are 6 students in the class.
Let x represent the number of students that are there in the class.
The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.
The number of note books = 5x + 7 (1)
The teacher her gives his students 7 notebooks each, and was 5 notebooks short.
The number of note books = 7x - 5 (2)
Therefore equating equations 1 and 2:
5x + 7 = 7x - 5
7x - 5x = 7 + 5
2x = 12
x = 6
There are 6 students in the class.
Find out more at: https://brainly.com/question/24169758
make v the subject of the formula t=4v+3
Step-by-step explanation:
t=4v+3
t-3=4v
(t-3)/4=v
hope this helps you.
dont know the answer pls help :(
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Can y’all figure this out while I help my fam hang up a chrismus tree :)
u=xk , for x
please help me
Answer:
x=u/k
Step-by-step explanation:
To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x
x is equal to u divided by k.
x=u/k
Blake's bank statement shows a
balance of $2000.00. Since the
statement date, Blake had
deposits of $1000.00 and $450.00.
He has visited the ATM for
withdrawals of $275,00 and
$40.00 when he took Christie to
the movies. He has written checks
for $47.00, $92.00, $101.00, and
$209,00. What is his account
balance?
His balance is $2,686.00
$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00
$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00
plss hurry For a brainlist Please help:)
Determine the graph of the function f(x)=3^x−4
Answer:
It is D
Step-by-step explanation:
The equation of the horizontal asymptote is y = − 4 .Horizontal Asymptote: y = - 4
what is 18 kg in grams
Answer:
18 000
Step-by-step explanation:
One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.
2-(-4)/0-2
What is the answer?
Answer:
the would be m=4
Step-by-step explanation:
65 - 2x ≥ 150, whats the answer!!!
Answer:
x <= -42.5
Step-by-step explanation:
65 - 2x >= 150
-2x >= 150 - 65
-2x >= 85
2x <= -85
x <= -85/2
x <= -42.5
Simplify: 7.2 x10^4/3.0 x 10^2
Answer:
240
Step-by-step explanation:
Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!
2^20
2.2^9
2^10 • 2²
2^-2 2^11
(2.2.2.2.2).(2.2.2.2)
Answer:
last option is correct
...................................
A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?
Answer:
2.5 hours
Step-by-step explanation:
time = distance / speed
t = 80 / 32
t = 2.5 hours
3g + 4y - 8 + 2t + 5
Answer: 3g + 4y - 13 + 2t
Step-by-step explanation:
[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]
What is the value of x in the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The Triangle stated in the diagram is a right angled Triangle, so
[tex] \tan(30) = \dfrac{x}{15} [/tex][tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex][tex]x = \dfrac{15}{ \sqrt{3} } [/tex][tex]x = 5 \sqrt{3} [/tex]\sf 45-2x=75-3x
Free
[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]
[tex]\sf \longmapsto45+−2x=75+−3x[/tex]
[tex]\sf \longmapsto−2x+45=−3x+75[/tex]
[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]
[tex]\sf \longmapsto \: x+45=75[/tex]
[tex]\sf \longmapsto \: x+45−45=75−45[/tex]
[tex]\sf \longmapsto \: x=30[/tex]
[tex] \boxed{\sf 30}[/tex]
PLEASE HELP ME FOR 25 POINTS NO LINKS!
Answer:
The answer is C. Yes, Abc= Adc
Answer:
Yes, ABC is congruent to CDA by SSS
Your answer is correct; and here's why:
side AB corresponds to side CD.
and side BC corresponds to DA
So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.
Step-by-step explanation:
Will give brainliest if right
Answer:
2) Both are decreasing
5) Function I has a greater y-intercept than function II
Step-by-step explanation:
[] They both have negative unit rates / slope (m is the slope in y = mx + b)
[] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work
Answer:
She has 9 left
Step-by-step explanation:
15 - 6 = 9
Hope this helps! Brainliest would be appreciated!
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles
does this help??
Step-by-step explanation: