Answer:
You can get approximate values by drawing a graph,
Step-by-step explanation:
Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]
Answer:
8x-16y
Step-by-step explanation:
b.6a/6+18b/6-12c/6Answer:
8x - 16y and a + 3b - 2c
Step-by-step explanation:
(a)
8(x - 2y) ← multiply each term in the parenthesis by 8
= 8x - 16y
(b)
[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator
= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator
= a + 3b - 2c
Integration as the Inverse of Differentiation, Integration of ax" and Integration of the Functions of the Sum or Difference of Algebraic Terms
For each of the following, find f(x).
(a) f'(x) = x³ + 4x -1 1
(b) f'(x) = 1/2x² + root x
(c) f'(x) = 3x - 4 / 2x³
Answer:
The answer is in the image above
Answer:
Step-by-step explanation:
The antiderivative for b is definitely incorrect, as stated in the comments section.
[tex]\int\limits {\frac{1}{2x^2}+\sqrt{x} } \, dx \\\frac{1}{2} \int\limits{\frac{1}{x^2} } \, dx+\int\limits {x^{\frac{1}{2}} } \, dx[/tex] That's a bit more simplified. One more important simplification and then we can integrate one term at a time:
[tex]\frac{1}{2}\int\limits{x^{-2}} \, dx +\int\limits{x^{\frac{1}{2} } \, dx[/tex] and here we go:
[tex]\frac{1}{2}(\frac{x^{-2+1}}{-2+1})+(\frac{x^{\frac{1}{2}+\frac{2}{2}} }{\frac{1}{2}+\frac{2}{2} })+C[/tex] and
[tex]\frac{1}{2}(\frac{x^{-1}}{-1})+(\frac{x^{\frac{3}{2}} }{\frac{3}{2} })+C[/tex] and finally,
[tex]-\frac{1}{2x}+\frac{2}{3}x^{\frac{3}{2}}+C[/tex]
HELP ASAP!!!!!!!!!
Ollie is investing $15000 in an account that earns 4.75 simple interest. About how many years will it take to have a balance of $23550 his account?
Answer:
Step-by-step explanation:
23550=15000(1+.0475t)
t=12
what is 15% of 71.40$
Answer:
10.71
Step-by-step explanation:
0.15*71.40
The midpoint m of gh has coordinates ( -5, -4) point h has coordinates (-4, -7) find the coordinates of point g
Answer:
Step-by-step explanation:
The midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:
[tex](-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})[/tex] and we will solve for the missing values one at a time. x first:
[tex]-5=\frac{-4+x_2}{2}[/tex] and
-10 = -4 + x₂ so
-6 = x₂ and do the same for y:
[tex]-4=\frac{-7+y_2}{2}[/tex] and
-8 = -7 + y₂ so
-1 = y₂
Thus, the coordinates of point g are (-6, -1)
Cant figure this one out help please!
Answer:x+20
Step-by-step explanation:
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?
Answer:
$150.60
Step-by-step explanation:
$984.20-$381.80= $602.40
Take $602.40 and divide by 4 which equals $150.60 which is the 1/4 $ Charlie has in his savings account.
an appliance repair p person charges 55 per trip plus 15 per hour for her labor. the cost of fixing a stove was 92.50. write and solve an equation to find how many hours it took to repair the stove
(92.50-55)/15 =2.5 hours
Step-by-step explanation:
92.5 (total) -55 (trip charge) = 37.50(hour charge)
37.50(hour charge)/15{per hour charge)=2.5(hours)
What is the answer? Given right triangle MNO below. how many units long is NO?
Answer:
8!
Step-by-step explanation:
Basically, you would use the phythagorean theorem to find the answer plugging in the values that you already have to find the missing side (a^2 + b^2 = c^2)
since you have the length of the hypothenuse (c in the equation) and one of the legs of the triangle (a or b, it doesn't matter, but for the sake of the equation we'll plug in 6 for a), we can insert these numbers to find b!
Plugging it into the equation:
A^2 + b^2 = c^2
(6)^2 + b^2 = (10)^2
36 + b^2 = 100
subtract both sides to get b^2 = 64
then square root both sides b = 8
1. The hot-water tank in Rafael's house holds 17x + 11 gallons of hot water. Rafael used 4x + 1 gallons of hot water washing the dishes. Which of the following
binomials represents the number of gallons of hot water remaining in the tank?
Answer:
13x + 10
Step-by-step explanation:
Rafael's hot-water tank holds:
[tex]17x + 11[/tex]
Gallons of hot water.
Rafael used:
[tex]4x + 1[/tex]
Gallons of hot water.
And we want to determine which binomial represent the amount of hot water remaining in the tank.
The amount remaining R in the tank will be the amount taken by Rafael subtracted from the total amount. Hence:
[tex]\displaystyle R = (17x+11) - (4x + 1)[/tex]
Simplify. Distribute:
[tex]\displaystyle R = (17x + 11) + (-4x - 1)[/tex]
Rearrange:
[tex]R = (17x - 4x) + (11 - 1)[/tex]
Combine like terms:
[tex]R = 13x + 10[/tex]
In conclusion, 13x + 10 gallons remain in the tank.
A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
final grades are often computed using weighted averages. Some college professors Us complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between test and homework where whichever average is higher will be 67%. What will your final grade be if your homework average is 78 and your test average is 79?
Answer:
Your final grade will be 78.67 %
Step-by-step explanation:
67% of your grade will be from your test average which is 79 (higher)
33% of your grade will be from your homework average which is 78.
Calculating:
(67×79+33×78) / (67+33) = 7867 / 100 = 78.67
Anyango divided her 50 hectares farm as follows.maize took 35% of the farm beans 32%;potatoes 24% and millet took the remaining part.
a). What is the area covered by each crop in hectares?
b) Anyango increased the plot for beans by 11 and quater % and reduced the plot for potatoes by 15%in the following year.
Answer:
a = Maize takes up 17.5 Hectares, Beans takes up 16 Hectares, and Potatoes takes up 12 hectares
b = Beans takes up 17.8 hectares, and Potatoes takes up 10.2 Hectares
Step-by-step explanation:
A: 50/100 = .5
.5 is = to 1% of the farm
Maize = .5*35
Maize = 17.5 Hectares
Beans = .5*32
Beans = 16 Hectares
Potatoes = .5*24
Potatoes = 12 hectares
B: Beans: 16*1.1125 = 17.8 hectares
Potatoes: 12*.85 = 10.2 Hectares
If AB=2x BC=x+20 and AC=50 what is the value of x
Answer:
x = 10
Step-by-step explanation:
AC = AB + BC
Substitute the values for the line segments:
50 = (2x) + (x + 20)
50 = 2x + x + 20
Combine like terms:
50 = 3x + 20
Subtract 20 from both sides:
30 = 3x
Divide both sides by 3:
10 = x
Check your work:
50 = 2(10) + 10 + 20
50 = 20 + 30
50 = 50
Correct!
Solve for c:
9x + 72°
4x + 112°
[tex]Find \: H.C.F \: of \: \\ 900 \: , 270 \\ using \: e.d.l \: \\ ( \: Euclid's \: division \: lemma \: )[/tex]
H.C.F of 900 & 270
Answer:
90Step-by-step explanation:
Factorize both numbers:
900 = 2*2*3*3*5*5270 = 2*3*3*3*5Common factors are:
2*3*3*5So HCF is:
HCF(900, 270) = 2*3*3*5 = 90[tex]\Large \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}} \: \red \mid[/tex]
We know that ,As per Euclid Division Algorithm.
[tex] \longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \: = \: bq \: + \: r \: }}}}} [/tex]
a denotes dividendb denotes divisorq denotes quotientr denotes remainder◆━━━━━▣✦▣━━━━━◆Using Euclid Division Algorithm[tex]\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \: = \: 270 \: \times \: 3 \: + \: 90[/tex]
Here ,[tex]\large\bf{\orange{ \implies \: }} \: \:r \: \neq \: 0[/tex]
Again Applying Euclid Division Algorithm
[tex]\large\bf{\purple{ \hookrightarrow \: }} \tt \: 270 \: = \: 90 \: \times \: 3 \: + \: 0[/tex]
Here ,[tex]\large\bf{\orange{ \implies \: }} \: \:r \: = \: 0[/tex]
As the reminder is 0 , 90 will be the greatest common divisor for the two given numbers.
So,[tex]{\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \: = \: 90}}}}}}[/tex]
◆━━━━━▣✦▣━━━━━◆Insert grouping symbols to make each number sentence true 3+8-2*5=45
Insert grouping symbols to make each number sentence true 3+8-2*5=45
Answer:
3+2+8×5
I Need to solve it brainliest
Answer:
h(-5) = (-2)^2 + 5 = 9
h(-1) = (2)^2 + 5 = 9
(9-9)/4 = 0
average rate of change is 0
Step-by-step explanation:
Can someone please help me with this? You've gotta prove that x=8 in a table graph thing.
Answer:
AB= AC+CB
50 = (2x – 2 ) + 4(x+1)
50 = (2x – 2) + ( 4x+4)
50 = 6x +2
6x = 50 – 2
6x = 48
x= 48/6
x= 8
So; x=8 Q.E.D.
I hope I helped you^_^
7(3w-3)=-12
HURRY PLEASE
Answer:
3/7
Step-by-step explanation:
21w - 21 = -12
21w = -12 +21
21w = 9
w = 9/21
i.e w= 3/7
Step-by-step explanation:
21w-21= -12
21w= -12 + 21
w=9/21
13. Write
y = 2x^2 -12x+16 in vertex form.
Please show work if possible so I know how to do it
First off, we factor out the expression:
[tex] \displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }[/tex]
In the bracket, separate 8 out of the expression.
[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}[/tex]
In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:
[tex] \displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}[/tex]
So we add +9 in x^2-6x.
[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}[/tex]
Convert the expression in the small bracket to perfect square.
[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}[/tex]
Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.
[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}[/tex]
Then we distribute 2 in.
[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ [/tex]
[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }[/tex]
Remember that negative multiply positive = negative.
Hence the vertex form is y = 2(x-3)^2-2 or first choice.
any advice on geometry
Answer:
Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.
Write a multiplication expression without exponents that is equivalent to 3^3.
Hi! I'm happy to help!
This expression is an exponent, or repeated multiplication. 3^3 is three multiplied by itself (3), 3 times, or 3×3×3
So, our non-exponent expression will be 3×3×3.
I hope this was helpful, keep learning! :D
write an equation in slope-intercept form for the line described. passes through (12,0) and is parallel to y=-1/2x-3
Answer:
y = -1/2x + 6
Step-by-step explanation:
The slope of a parallel line will remain the same. The only thing that is different is the y-intercept but we can solve that using the point given, the slope, and the slope intercept form equation [ y = mx + b ].
0 = -1/2(12) + b
0 = -6 + b
6 = b
Now input the data we were given and solved for back into the formula.
y = -1/2x + 6
Best of Luck!
Shawn says that 3.22 is a rational number. Leah says 3.22 is a repeating decimal. Who is correct and why?
Answer:
Hi, There! Leah Is Correct
Step-by-step explanation:
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all.
____________________________________________________________
-Darkspirit-
Answer:
Both are correct.
Step-by-step explanation:
Repeating decimals are rational.
Pls help on the top question
Answer:
-13=5×1+5×4m-2m
-13=5+20m-2m
-13-5=18m
-18=18m
18m=-18
m=18÷18
m=1
Answer:
[tex]\frac{55}{4}[/tex]
Step-by-step explanation:
let the number be n the multiply by - 4 is - 4n and add 5 gives
- 4n + 5 = - 50 ( subtract 5 from both sides )
- 4n = - 55 ( divide both sides by - 4 )
n = [tex]\frac{-55}{-4}[/tex] = [tex]\frac{55}{4}[/tex]
The number is [tex]\frac{55}{4}[/tex] or 13.75 if you prefer
Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
Sarah has 5 peppermints. Chase has p fewer peppermints than Sarah. Write an expression that shows how many peppermints Chase has.
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!