Answer:
Step-by-step explanation:
Solve for r.
17r–13r=20
4r = 20
r = 20 : 4
r = 5
(d). Find the area of the region enclosed by the graphs of f(x)= x³ and g(x)=x²+2x. [Verify your answer by MATHEMATICA and attach the printout of the commands and output (e). Find the area of the region enclosed by the graphs of y = 3/X and y=4-X. [Verify your answer by MATHEMATICA and attach the printout of the commands and output
Answer:
d . 37/12 unit^2.
Step-by-step explanation:
d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:
x^3 = x^2 + 2x
x^3 - x^2 - 2x) = 0
x(x^2 - x - 2) = 0
x(x - 2)(x + 1) = 0
So they intersect at x = -1, x = 0 and x = 2.
Take the area from x = 0 to x = 2)
2 2
Area = ∫ x^2 + 2x dx - ∫ x^3 dx
0 0
2
= [ x^3/3 + x^2 ) - x^4/4]
0
= ((8/3 + 4) - 0) - (16/4 - 0) -
= 8/3 unit^2
Now calculate the area from x = -1 to x = 0.
0
= (x^3/3 + x^2 ) - x^4/4 )
-1
= (( 0 +1/3 - 1) ) - (0 - 1/4)
= 5/12 unit^2
So the total area of the region = 8/3 + 5/12 = 37/12 unit^2.
What is the slope-intercept equation
for the following line?
y = [?]x+O
Answer:
the answer is Y=1x+1
if someone helps me with dis ill give u brainliest
Answer:
4 different answers
Step-by-step explanation:
1.
[(24/3) + (5*2^2)] = 28
2.
[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3
3.
[(24/3 + 5)*2^2] = 52
4.
[(3 + 5*2^2)/24] = 23/24
Answer:
Step-by-step explanation:
1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.
Solve for q.
7q–5q=16
q=
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
Find one value of x for F(x)=-4
F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.
4(4 + 7x) + x 2 -6x +5
help plz I have an f in the class
hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?
Answer:
Merry xmas bro
Step-by-step explanation:
fav nintendo game is the first mario
Find the slope of the line that passes through:
(6,7) and (4,2)
Answer:
5/2
Step-by-step explanation:
Slope = Change in y/Change in x
Slope = 2 - 7/4 - 6
Slope = -5/-2
Slope = 5/2
-Chetan K
i really need help with this quition
Answer:
I really need help with this question.*
Answer:
There is no question
Step-by-step explanation:
Hope you have a great day!!
trevin puts 8 gallons of
Answer:
24.75 is answer
Step-by-step explanation:
Answer:
That was a good start, but we need the rest of the question.
Step-by-step explanation:
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
the one with the perimeter of 28 inStep-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
8 + 9 + 11 = 28in
the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n
badly need this rn
Answer:
Step-by-step explanation:
Sum of first n terms = 243
[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]
noah ran 2 1/2 miles in 3/5 hour
Answer:
4.1(6), 25/6, or 4 1/6 mph
Step-by-step explanation:
2.5/0.6=25/6
1) The number 79 has been rounded to the nearest unit. Find its lower and upper bounds,
Answer:
Lower bound: 78.5
Upper bound: 79.5
Step-by-step explanation:
Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.
If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2
HELP PLSSSS OMG Round answer to nearest tenth too I KEPT GETTING I WRONG
Answer: where is the picture?
Alguien me puede ayudar en esta tarea por favor la necesito para mañana
La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :
R = [tex]\sqrt{x^{2}+16x+64}[/tex]
If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]
[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]\mathrm{Plug\:the\:points}[/tex]
[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]
[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]
[tex]\sqrt{11^2+0}[/tex]
[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]
[tex]=11[/tex]
A local store sells bags of game pieces with various colors. Four out of every 19 pieces are red. The store sold a bag with 76 game pieces. What number of the game pieces are red? Write your answer as a whole number.
Answer:
16 game pieces that are red
Step-by-step explanation:
URGENT PLEASE
Heron's Formula:
In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square centimeters, of ΔABC.
Question 6 options:
A)
16.541
B)
15.612
C)
14.704
D)
24.708
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]
Answer:
The answer is C. 14.704
Step-by-step explanation: I just took the test
Prove: The square of an even number is even
The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.
Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?
Answer:
Austin: [tex]25[/tex]
Dante: [tex]64[/tex]
Yoko: [tex]16[/tex]
Step-by-step explanation:
Total: [tex]105[/tex]
Austin: [tex]y+9[/tex]
Dante: [tex]4y[/tex]
Yoko: [tex]y[/tex]
Equation:
[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]
Invisible Steps:
Combine like terms: [tex]y+y+4y=6y[/tex]
Subtract 9 from each side: [tex]6y+9-9=6y[/tex]
[tex]105-9=96[/tex]
Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]
[tex]96[/tex] ÷ [tex]6 = 16[/tex]
increase R700 in the ratio 3:2
Answer:
3 over5 multiplied by 320 equals 192
Evaluate the expression 8+-9
Answer:
8+-9=-1
Step-by-step explanation:
evaluated
Answer:
8+(-9)=8-9=-1
Step-by-step explanation:
to get -9 you multiply -×+ which is -
A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. Create a function f(x) which models the amount, in dollars, a senior citizen would pay for x pounds of bananas on a Wednesday.
Answer:
f(x)= 0.90(0.59x)
Step-by-step explanation:
The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90
Also we need to know that 0.59x means how much money per pound the bananas cost.
So when you put it together, you should get f(x)=0.90(0.59x)
solve this question
Answer:
what... how
Step-by-step explanation:
What is the property of this math problem please help
Answer:
distributive property
Step-by-step explanation:
Because distributive property formula is a(b+c) = ab + ac
meaning that w(6+5) = 6w + 5w
18x+5=-1+8x+46 find value of x
Answer:
3
Step-by-step explanation:
18x + 15 -8x = 8x + 45 -8x
10x + 15 = 45
10x + 15 - 15 = 45 - 15
10x = 30
10x/10 = 30/10
× = 3
685,327 round to the nearest thousand
Answer:
685,000
Step-by-step explanation:
Answer:
685327.000
Step-by-step explanation: