Answer:
y=x+w/5
Step-by-step explanation:
x=5y-w
step 1: bring the additional letters/numbers next to the "5y" over to the left
x+w= 5y
step 2: divide the numbers and letters on both sides of the "=" by 5 to only get the letter y
x+w/5= y
step 3: swap them over
y= x+w/5
(we can't get an answer from x+w/5 because the terms are unlike, therefore we keep it as a fraction
Solve for x in the equation x2-12x+36 = 90-
X = 6+3 V10
O x=6+27
12+3V22
O
X = 12+3 V10
X=
Answer:
5.4
Step-by-step explanation:
x2-12x+36 = 90
=> 2x - 12x + 36 = *90
=> 2x - 12x = 90 - 36
=> -10x = 54
=> (-10x)/-10 = (54)/-10
=> x = 5.4
For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2.
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $50 .
The profit function of the company is the difference between the cost and the revenue functions of the company
The expression of the profit function is [tex]- 0.5x^2 + 40x - 300[/tex]The two values of x that creates a profit of $50 are x = 10 and x = 70How to set up the profit functionThe given parameters are:
C(x) = 60x + 300 --- the cost function
R(x) = 100x - 0.5x^2 ---- the revenue function
The profit function is calculated as:
P(x) = R(x) - C(x)
So, we have:
[tex]P(x) = 100x - 0.5x^2 - 60x - 300[/tex]
Rewrite as:
[tex]P(x) = - 0.5x^2 + 100x - 60x - 300[/tex]
[tex]P(x) = - 0.5x^2 + 40x - 300[/tex]
This means that the expression of the profit function is [tex]- 0.5x^2 + 40x - 300[/tex]
The two values of x that creates a profit of $50This means that:
P(x) = 50
So, we have:
[tex]- 0.5x^2 + 40x - 300 = 50[/tex]
Subtract 50 from both sides
[tex]- 0.5x^2 + 40x - 350 = 0[/tex]
Multiply through by -2
[tex]x^2 - 80x + 700 = 0[/tex]
Expand
[tex]x^2 - 70x - 10x + 700 = 0[/tex]
Factorize
[tex]x(x - 70) - 10(x - 70) = 0[/tex]
Factor out x - 70
[tex](x - 10)(x - 70) = 0[/tex]
Solve for x
x = 10 or x = 70
Hence, the two values of x that creates a profit of $50 are x = 10 and x = 70
Read more about profit functions at:
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4:20::8:x
What is x equal to?
Consider the polynomial equation x(x − 3)(x + 6) (x – 7) = 0. Which of the following are zeros of the
equation? Select all that apply.
-7
-6
-3
0
3
6
7
Answer:
0, 3, -6, 7
Step-by-step explanation:
x(x − 3)(x + 6) (x – 7) = 0
so x = 0
or x - 3 = 0, x = 3
or x + 6 = 0, x = -6
or x - 7 = 0, x = 7
Answer: 0, 3, -6, 7
When f(x) is a differentiable function
satisfying [tex]\lim_{x \to \\\pi } \frac{f(x)}{x-\pi}[/tex]
Find [tex]\lim_{x \to \\\pi } \frac{sin(2f(x))}{x-\pi}[/tex]
Presumably, the first limit is some finite number
[tex]\displaystyle \lim_{x\to\pi} \frac{f(x)}{x-\pi} = c[/tex]
Since x - π clearly approaches 0 as x approaches π, we must also have f(x) approaching 0,
[tex]\displaystyle \lim_{x\to\pi} f(x) = 0[/tex]
Recall the double angle identity,
sin(2t) = 2 sin(t) cos(t)
and rewrite the limit as
[tex]\displaystyle \lim_{x\to\pi} \frac{\sin(2 f(x))}{x - \pi} = \lim_{x\to\pi} \frac{2 \sin(f(x)) \cos(f(x))}{x - \pi} = 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi}[/tex]
Recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x=1[/tex]
which means
[tex]\displaystyle \lim_{x\to\pi}\frac{\sin(f(x))}{f(x)} = \lim_{f(x)\to0}\frac{\sin(f(x))}{f(x)} = 1[/tex]
and by continuity,
[tex]\displaystyle \lim_{x\to\pi} \cos(f(x)) = \cos\left(\lim_{x\to\pi} f(x)\right) = \cos(0) = 1[/tex]
Then
[tex]\displaystyle 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi} \\\\ = 2 \left(\lim_{x\to\pi}\frac{\sin(f(x))}{f(x)}\right) \left(\lim_{x\to\pi} \frac{f(x)}{x-\pi}\right) \left(\lim_{x\to\pi}\cos(f(x))\right) \\\\ = 2 \times 1 \times c \times 1 = \boxed{2c}[/tex]
what digit number is in the hundred thousand place in 621,938
Answer:
6
Step-by-step explanation:
6 in hundred thousands place
Answer:
Six is the correct answer.
Please help I will give brainliest and points, I cannot figure this out I also need the work please please please
Answer:
~Male Y/n here~ I think that your A will be 77 feet in distance and your B would be 25 feet above ground.
(Hope this helps!)
bre
RE
What is the value of arctan (-13);
MA
OA. 60°
OB. 90°
OC -60°
OD. 0°
O E. 45°
Answer:
The answer to this question is 60degree
Lisa works in a store that sells t-ey . shirts to tourists. The t-shirts sell for $24 each, including tax. Last week Lisa sold 32 t-shirts. How much mondid Lisa collect by selling these t-shirts?
Answer:
768$
Step-by-step explanation:
I multiplied 24$ times 32.
Pleaseplaeas help I will give hearts and 5 stars!
Answer: y=25x
Step-by-step explanation:
Calculate the product: 2 9 × 63 . A. 7 B. 14 C. 18 D. 45
Answer:
The answer isn't listed in your options, are you sure you didn't make any typos?
Step-by-step explanation:
29*63=1,827
what is 353% as a decimal??
Answer: Your answer is 3.53 as a Decimal.
Hope this helps!
Answer:
3.53
Step-by-step explanation:
If you have been wondering what is 353% in decimal form, or if you have been looking for how to change 353% to decimal, then you are definitively right here.
353%, 353 pct and 353 percent all mean 353 by the hundred. 353 percent as a decimal equals:
353% as a decimal = 3.53
353 percent as a decimal = 3.53
these numbers form an addition and subtraction fact family for 6,7,13 here the choices 7+13=20 13+7=20 13-13=0 13-0=13 and 7+0=7 6+0=6 13-0=13 13-13=0 and 7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6
Answer:
7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6bStep-by-step explanation:
this involves any number that when subtracted or added it gives each other the values of the family
Example:-7 + 6 equals 13, 13 - 6 equals 7,
so you see how they relate,please mark me brainiest
^_^
Answer:
7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b
Step-by-step explanation:
I studied. :)
Please help me with this. Find the measurement of angle 4
Answer:
80
Step-by-step explanation:
The rule for triangles is that their angles must add up to 180. 30+50=80 and 180-80=100 so the angle next to 4 is 100. Since they are on a straight line the angle is 180 and 180-100 is 80
brainliest pls hardstuck ambitious.
Find the number of solutions of the equation 9x^2+x+1=0 by using the
Answer:
x =(2+√40)/18=(1+√ 10 )/9= 0.462
or:
x =(2-√40)/18=(1-√ 10 )/9= -0.240
Which is larger, 0.8 or 71/100?
Answer:
0.8
Step-by-step explanation:
Convert 71/100 into a decimal
.71
0.8 > .71
Brandon was 6.5 pounds when he was born. In the next month his weight increased by 40%. How much did he weigh at the end of the month?
Answer:
i believe the answer is 9.1
Step-by-step explanation:
6.5 x 40% or in other words .4 is 2.6.
then you add 2.6 to 6.5 and that gives you 9.1
In this figure, 52.9% of the area is painted yellow. How much of the area is painted yellow? 22.218 in² 25.921 in² 44.436 in² 48.139 in² A square with sides measuring 7 inches. A right triangle attached to one side of the square has a long leg of 12 inches.
Answer:
the answer is 48.139 in²
Step-by-step explanation:
I took the test.
48.139 in² of the figure area is painted yellow in color.
What is an area?An area is amount of space occupied by a two dimensional shape or object.
The area of the figure = Area of the square + Area of the triangle
Area of the figure = (7 in * 7 in) + (1/2) * (12 * 7) = 91 in²
Since 52.9% of the area is painted yellow, hence:
Area painted yellow = 52.9% of 91 = 48.139 in²
48.139 in² of the figure area is painted yellow in color.
Find out more on area at: https://brainly.com/question/25292087
pleaseeeeee helppppp
Answer:
240 ounces is your answer
Complete the table using this rule : 3x-2=y
Answer:
To find the x-intercept, substitute in 0 for
y and solve for x. To find the y-intercept, substitute in 0
for x and solve for y. x-intercept(s): (2^3,0) y-intercept(s):
(0,−2)
ABC DEF. The area of DEF is given. Find the area of ABC.
Answer:
C. 240 in^2
Step-by-step explanation:
is it stated that two triangles are similar.
If they are similar then their area must be proportional too.
The side lengths' proportion is :
12/60 = 1/5 this can be used to find the area of the smaller triangle, ABC
Let x represent the are of triangle ABC
1/5 = x/1200 cross multiply both sides
5x = 1200 divide both sides by 5
x = 240 since the area is indicated with square value so the answer is
C. 240 in^2
Answer:
b
Step-by-step explanation:
is -6.41 a rational number
Answer:
It is, in fact, a rational number.
3 x − 7 y = − 17 determine slope
please leave a real answer it would be very helpful
The polynomial that represents the length is:
h(x) = 11x + 1.
How to find the length?
We know that the area of the top surface is given by:
f(x) = 66x^2 + 17x + 1
And the width of the top surface is:
g(x) = 6x + 1.
We can assume that the length, h(x), is another polynomial of degree 1, so we can write:
h(x) = a*x + b
Now, the area is the product of the width and the length, so we have:
f(x) = g(x)*h(x)
f(x) = (6x + 1)*(ax + b)
= 6ax^2 + (6b)x + (a)x + b
= (6a)x^2 + (6b + a)x + b
Now let's compare this with f(x), correspondent coefficients must have the same value.
66x^2 + 17x + 1 = (6a)x^2 + (6b + a)x + b
Then we have:
66 = 6a
17 = 6b + a
1 = b
From the first equation we have:
66/6 = a = 11
And from the third:
b = 1
Then the length is:
h(x) = 11x + 1.
If you want to learn more about polynomials, you can read:
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1a. Solve the differential equations
y" + 5y' + 6y = 0, y(0) = 1 and y'(0) = 2
Note that each equation has right hand side zero. So, you don’t have to use the Laplace transform. You just use the characteristic equaiton.
y'' + 5y' + 6y = 0
has characteristic equation
r² + 5r + 6 = (r + 2) (r + 3) = 0
with roots at r = -2 and r = -3, hence the differential equation's characteristic solution is
[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t}[/tex]
Given that y(0) = 1 and y'(0) = 2, we have
[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t} \implies 1 = C_1 + C_2[/tex]
[tex]y'(t) = -2C_1 e^{-2t} - 3C_2 e^{-3t} \implies 2 = -2C_1 - 3C_2[/tex]
and solving the resulting system of equations yields C₁ = 5 and C₂ = -4.
So the particular solution to the ODE is
[tex]\boxed{y(t) = 5 e^{-2t} - 4 e^{-3t}}[/tex]
What whole numbers lie between 39
Answer: none
Step-by-step explanation: there are no WHOLE numbers between 39
What is the expression for f(x) when we rewrite 36^x•6^x-2 as 6^f(x)
Answer:
X
Step-by-step explanation:
[tex]36 {}^{x} (6 {}^{x - 2} )[/tex]
[tex]36 {}^{x} ( \frac{6 {}^{x} }{6 {}^{2} } )[/tex]
[tex]36 {}^{x} ( {6}^{x} ) \frac{1}{6 {}^{2} } [/tex]
[tex]6 {}^{2} (6 {}^{x} )6 {}^{ - 2} [/tex]
[tex]6 {}^{x} [/tex]
F(x)=x.
Answer: f (x) = 3x-2
Step-by-step explanation:
Find the value of the major arc ABC when the angle measures 40 degrees
Answer:
Step-by-step explanation:
if we draw diameter through A and let it meet the circumference at D .
Let O be the center.
∠DAC=90-40=50°
∠DOC=2×50=100°
arc ABD=180°
arc ABC=180+100=280°
some number minus -15 is equal to the product of the number and 9
Answer:
x = 15/8
Step-by-step explanation:
Let x = unknown number
Given:
some number minus -15 is equal to the product of the number and 9
⇒ x - -15 = x · 9
⇒ x + 15 = 9x
⇒ 15 = 9x - x
⇒ 15 = 8x
⇒ x = 15/8
Answer:
15/8
Step-by-step explanation:
Let's assume that the number is 'n'. Provided that number 'n' minus -15 is equal to the product of the number 'n' and 9. Simply jot down the above statement in mathematical form:
[tex] \implies\:\sf{\red{n \: - \: ( - 15) \: = \: n \: \times \: 9}}[/tex]
Now, simply solve the above equation.
[tex]\implies\:\sf{n \: + \: 15 \: = \: 9n}[/tex]
Take the like terms on one sides.
[tex]\implies\:\sf{9n \: - \: n \: = \: 15}[/tex]
Do the rest calculations.
[tex]\implies\:\sf{8n \: = \: 15}[/tex]
[tex]\implies\:\sf{\red{n \: = \: \dfrac{15}{8}}}[/tex]
Hence, the required value of n is 15/8.
Find the slope of the line that passes through the following two points: (3, -7) and (5, -15) Give your answer as a number, rounded to the nearest tenth, if necessary
Answer:
the slope should be -4
Step-by-step explanation:
to find the slope we use the equation y2 - y1/ x2 - x1
-15 - (-7) / 5 - 3
-15 + 7 / 2
-8 / 2
-4