Step-by-step explanation:
2f - 3(4f - 5g) + 5g +7fg
multiply the 3 in
2f - 12f - 15g + 5g + 7fg
add or subtract common terms
-10f -10g +7fg will be your final answer
Answer:
Step-by-step explanation:
As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.
Simplify:
2f - 3(4f-5g) + 5g +7fg
Get rid of the parentheses
2f - 12f - 15g + 5g +7fg
Simplify similar expressions
-10f - 10g + 7fg
Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.
Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)
Answer:
It is 3y = 4x + 10
Step-by-step explanation:
Let's first get the slope of the curve.
[ slope is the derivative of the equation ]
[tex] {x}^{2} - xy + {y}^{2} = 7[/tex]
introduce dy/dx :
[tex] \frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0[/tex]
make dy/dx the subject:
[tex]2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1} [/tex]
At point (-1, 2):
[tex] \frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3} [/tex]
but a tangent has the same slope as the curve:
[tex]y = mx + c[/tex]
m is the slope
c is the y-intercept
At (-1, 2):
[tex]2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3} [/tex]
equation:
[tex]y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}[/tex]
Answer:
Step-by-step explanation:
Here is an other way:
z=f(x,y)=x²-xy+y²-7=0
[tex]\dfrac{\partial f(x,y)}{\partial x} =2x-y\\\\\dfrac{\partial f(x,y)}{\partial y} =-x+2y\\\\\\\dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f(x,y)}{\partial x} }{\dfrac{\partial f(x,y)}{\partial y}} =-\dfrac{2x-y}{-x+2y} \\\\(-1;2)\\Slope=-\dfrac{2*(-1)-2}{1+2*2} =\dfrac{4}{5} \\\\y-2=\frac{4}{5} (x+1)\\\\\\\boxed{y=\dfrac{4x}{5} +\dfrac{14}{5} }[/tex]
Points a, b and c are collinear point b is between a and c find the length indicated
Points A , B and C are collinear......
Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.
Answer:
y = 1/2x + 11
Step-by-step explanation:
y = 1/2x + b
9 = 1/2(-4) + b
9 = -2 + b
b = 11
The following table shows the amount of money earned by the key club from a car wash. Use the table to determine what the rate of change is if the amount of money made is dependent on the number of cars washed.
Answer:
Can u help me
Step-by-step explanation:
With my maths question
A cookie factory makes 8 types of cookies. Each day, the factory makes 1,093 of each type of cookie. How many cookies does the factory make each day?
Answer:
8744 cookies
Step-by-step explanation:
8 × 1093
.........
marginal relative frequency example?
Answer:
Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. Remember, the marginal frequency numbers are the numbers on the edges of a table, kind of like the margins are the areas on the edge of a paper.
Expand [tex](x-\frac{1}{x} )^{12}[/tex] , simplifying the coefficients
Divide the following integers.
helllp please
-12 � 4=
-3
-8
-48
3
Answer:
-48Step-by-step explanation:
-12 × 4
= -48
#Let'sLearnAnswer:
[tex] - 12 \times 4 \\ \\ = - 48[/tex]
it's was helpful to you
10q - 20 is equivalent to _____.
2(q - 10)
10(q - 20)
10(q - 2)
if (2x,3y) =(8, 9),find x and y
Answer:
x = 4, y = 3
Step-by-step explanation:
Equating corresponding coordinates , gives
2x = 8 ( divide both sides by 2 )
x = 4
and
3y = 9 ( divide both sides by 3 )
y = 3
Help with algebra 1
(A-y)^2 +2y^3
If a=3 and y=-2
2sinx/2cosx-secx=tan2x
Answer:
hope it help u
Step-by-step explanation:
2sinx/(2cosx – secx)
=2 sinx/(2cosx–1/cosx)
as secx = 1/ cosx
multiplying both the denominator and numerator by cost,we get
2sinxcosx/( 2cos^2x –1) =cos2x
since,2sinxcosx = sin2x and 2cos^2 –1=cos2x
2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x
what is equivalent expression to 0.112 - 16/75 A -0.112 + 16/75 B -0.112 (-16)/75 C 0.112 + (-16)/75
Answer:
C
Step-by-step explanation:
0.112 + (-16)/75 is equivalent to 0.112 - 16/75
9. Maria usually pays $3.10 per pound for her favorite granola. Which of the answers below is
a better deal?
A. 2 pounds for $6.49
B. 3 pounds for $10
C. 5 pounds for $14.75
D. 8 pounds for $28
What’s the answer
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
Find tan A of a RIGHT TRIANGLE with side lengths b = 8 and c = 12
is 3.4567, 3.4567... irrational or rational
Answer:
Irrational
Step-by-step explanation:
Because irrational this number do not repeat so there for it is not rational.
Highlight the correct symbol.
<, >, =
1,404,000 ________ 1,040,000
Answer:
>
Step-by-step explanation:
1,404,000 > 1,040,000
Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).
Answer:
y = 1/2x - 2
Step-by-step explanation:
In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.
Example of an opposite reciprocal slope: -2 ⇒ 1/2
Insert the information into the point-slope formula:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]
This is finding the midpoint. Please help
Answer:
hence the required midpoint of the given line is (9,5)
Answer:
[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]
The answer is :(4, 10)
The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation:
What’s the answer to this? Please send help
Answer:
B
Step-by-step explanation:
Help help help help help help help help help help help plsss
Lamar works as a tutor for $12 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 100 hours at his two jobs.
Let "t" be the number of hours Lamar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
total earned (in dollars) =__________
Answer:
-2t + 1400
Step-by-step explanation:
If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.
Create an equation to represent the situation:
12t + 14(100 - t) = total earned
Simplify:
12t + 1400 - 14t = total earned
-2t + 1400 = total earned
So, the expression for the amount he earned is -2t + 1400
why can u write both addition expression and subtraction expression for the situation
Answer:
It depends if the number is an integer {-1,+7,-7}
e.g -7+4
these numbers are integers that is why you can write both addition and subtraction expressions
Simplify (ab)(ab)(ab)(ab).
ab 4
a 4b 4
4ab
Answer:
[tex] {a}^{4} {b}^{4} [/tex]
Step-by-step explanation:
[tex](ab) \times (ab) \times (ab) \times (ab)[/tex]
[tex] {a}^{1 + 1 + 1 + 1} {b}^{1 + 1 + 1 + 1} [/tex]
[tex] = {a}^{4} {b}^{4} [/tex]
You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same amount.e total funding you receive is $47.50. How much does each friend donate?
Answer:
Step 1:
Let x represent the amount of each friend donate
Website keeps = 5%
Total funding I receive = $ 47.50
4.75x = $47.50
Step 2:
4.75 = $47.50 - Write the equation
[tex]\frac{4.75x}{4.75}[/tex] = [tex]\frac{47.50}{4.75}[/tex] - Divide both sides of the equation by 4.75
The solution is x = 10
ANSWER: Each friend donates $10
hope this helps Have a good day.
Each friend donates $10.
It is required to find How much does each friend donate.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given :
The website keeps 5% of each donation.
Five of your friends each donate the same amount.
Total funding receive is $47.50.
Let x represent the amount of each friend donate
According to question we have,
4.75x = $47.50
Divide both sides of the equation by 4.75 we get,
x = 10
Therefore, each friend donates $10.
Learn more about arithmetic here:
brainly.com/question/24423838
#SPJ2
Find the product of 6/4 × 12/5
Answer:
18/5
Step-by-step explanation:
6/4 x 12/5
18/5
giải phương trình :
-4x-8x>0
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
[tex] - 4x - 8x > 0[/tex]
➡️ [tex] - 12x > 0[/tex]
➡️ [tex]x < 0[/tex]
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he start?
(I know the answer to the question but the steps on how to solve for x confuse me)
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
Ben took part in a 45km bicycle race.Ben cycled at a speed of v km/h for the entire race.Express the time taken by Ben in terms of v.
Answer:
(45/v) hours
Step-by-step explanation:
that is the answer yep
Answer:
45/v =t
Step-by-step explanation:
Cuz the normal formula is
V= d/t
Therefore
t= d/v
And u know D = 45km so..
t=45/v