Answer:
2x^{2} + \frac{3}{2} x - 5
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]
please help on the last question im gonna do 40 points
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
−1/5(x−4)=−2 Please help me fast
Answer:
x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−1/5(x−4)=−2
(−1/5)(x)+(−1/5)(−4)=−2(Distribute)
−1/5x+4/5=−2
Step 2: Subtract 4/5 from both sides.
−1/5x+4/5−4/5=−2−4/5
−1/5x=−14/5
Step 3: Multiply both sides by 5/(-1).
(5/−1)*(−1/5x)=(5/−1)*(−14/5)
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29
HELP PLEASE The 30% discount on a $49 dollhouse
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
find the measure of
an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct
Answer:
it lose 90 percent in 3 hours so peter is incorrect
Step-by-step explanation:
A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answer:
its x=1/3 :)))
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
Solve for x x/12+6=8
x=
Answer:
X=24
Step-by-step explanation:
X/12 + 6 = 8
we can multiply the equation to 12 to make it simple. We get:
X + 72 = 96
So X = 96-72=24
Help pls! 37 points.
Answer:
7 squares
Step-by-step explanation:
Key skills: Counting, Averages
1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.
2) Since there are already 53 squares present, you need 60-53 = 7 squares more.
Hope you understood and have a nice day!!
answer:
should be 7 squares.
Combine the two expressions found in parts C and D to relate a, c, A, and C. Rewrite the expression as an equality between two ratios. Show your work.
Answer:
BD = c sin A and BD = a sin C.
Therefore, a sin C = c sin A.
Divide both sides by sin A × sin C to get A/sin A = C/sin C
Step-by-step explanation:
Here you go it is here now
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
in this order
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
the other guy had it right.
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
Please help ASAP 25 pts + brainliest. please show work
Answer:
it's answer is C. .80
Step-by-step explanation:
With reference angle A
base (b) = 8
Hypotenuse (h) = 10
Now
Cosine A
= b / h
= 8 / 10
= 0.8
It is A as the answer
Step-by-step explanation:
1.multiply 8×10
2.multiply 80 ×6
3.the answer will be over 100 so it has to be A
Find the unknown angle measure by solving for the given variable.
Answer:
10 1/2
Step-by-step explanation:
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answer:
(-7,9)
Step-by-step explanation:
What is [tex]12\sqrt1248[/tex]
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
plz help me!?!?
and thank u
Answer:
-4.8+2.5-7.8
= -10.1
Step-by-step explanation:
Plz help
Simplify 6(3x-5)+5(2x-1)
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b
y=(slope)x+(y-intercept)
y=2x+0
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y = 2x + 0
Therefore, the equation is y = 2x.
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
20 less than 5 times a number is 85. What is the number
Answer: I don’t understand the question??
Step-by-step explanation: Can you say the question again like the same way the homework does
Find x and y HELP PLS ASAP
Step-by-step explanation:
A is the correct answer.
Factor 49z + 28. Write your answer as a product with a whole number greater than 1.
Answer:
87z
Step-by-step explanation:
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation: