Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
Given 4x2 – 7x = -3, what are the solutions??
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4For $155.50, a cosmetician buys 7 L of moisturizer and repackages it in 250-milliliter jars. Each jar costs the cosmetician $0.50. Each jar of moisturizer is sold for $8.95. Find the profit on the 7 L of moisturizer.
Answer:
$81.10
Step-by-step explanation:
Profit = total revenue - total cost
1 liter = 1000 mm
7 liter = 7000 mm
Number of jars needed = 7000 / 250 = 28
total revenue = number of jars sold x price per jar
28 x $8.95 = 250.60
Total cost = $155.50 + (0.5 x 28) = 169.50
Profit = 250.60 - 169.50 = 81.10
3y - 2 = 13 solve for y
Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
y = 5
Step-by-step explanation:
Get y by itself:
3y - 2 = 13
+2 +2
3y = 15
Divide by 3:
3y = 13
÷ 3 ÷ 3
y = 5
Choose the sentence that uses an intensive pronoun. A. Why don't you give yourself a big pat on the back? B. I took the cake to Ayana herself before the party. C. The teacher picked up the stack of papers by herself. D. Our parents gave us confidence to do things ourselves
5 plus 6 plus 7 plus 8 plus 9 plus 10 plus 11 plus ... if your answer is random you will be reported
Answer:
56
Step-by-step explanation:
ine N passes through the points (–1, 4) and (–1, –4).
A coordinate plane.
Which is true of line N?
Line N is a vertical line with an undefined slope.
Line N is a vertical line with a slope of zero.
Line N is a horizontal line with an undefined slope.
Line N is a horizontal line with a slope of zero.
Answer:
Line N is a vertical line with an undefined slope.
Step-by-step explanation:
[tex]{ \tt{slope = \frac{ - 4 - 4}{ - 1 - ( - 1)} }} \\ = { \red{ \tt{! \: math \: error}}}[/tex]
If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3
Answer:
[tex]x[/tex] would be [tex](1/3)[/tex] when [tex]y = 3[/tex].
Step-by-step explanation:
The question states that [tex]x[/tex] varies "inversely" as [tex]y^2[/tex]. In other words, there is a non-zero number [tex]a[/tex] (a constant) such that:
[tex]\displaystyle x = \frac{a}{y^2}[/tex].
The challenging part is to find the value of [tex]a[/tex] in this equation.
Given that [tex]x = 3[/tex] when [tex]y = -1[/tex], replace the [tex]x[/tex] in this equation with [tex]3[/tex] and [tex]y[/tex] with [tex](-1)[/tex]. This equation should still be valid:
[tex]\displaystyle 3 = \frac{a}{(-1)^{2}}[/tex].
Solve for [tex]a[/tex]:
[tex]a = 3 \times (-1)^2 = 3[/tex].
Hence, the relation between [tex]x[/tex] and [tex]y[/tex] becomes:
[tex]\displaystyle x = \frac{3}{y^2}[/tex].
Find the value of [tex]x[/tex] when [tex]y = 3[/tex] by replacing the [tex]y[/tex] in this equation with [tex]3[/tex].
[tex]\displaystyle x = \frac{3}{3^2} = \frac{1}{3}[/tex].
In other words, the value of [tex]x[/tex] would be [tex]\displaystyle \frac{1}{3}[/tex] when [tex]y = 3[/tex].
What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
Rita caught 5 fish. The lengths, in inches, of each tish are listed.
9,13,9, 21, 18
Which statement best represents the meaning of the range for these data?
Given:
The lengths, in inches, of each fish are listed:
9, 13, 9, 21, 18
To find:
The statement that best represents the meaning of the range for these data.
Solution:
The given data values are:
9, 13, 9, 21, 18
Arrange the data values in ascending order.
9, 9, 13, 18, 21
Here, the maximum value is 21 and the minimum value is 9.
We know that,
[tex]\text{Range}=\text{Maximum value}-\text{Minimum value}[/tex]
[tex]\text{Range}=21-9[/tex]
[tex]\text{Range}=12[/tex]
The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answer:
[tex]968[/tex]
Step-by-step explanation:
[tex]4q(q + 3w)^2 [/tex]
[tex]4(2)[(2)+3(3)]^{2} [/tex]
[tex]8[(2)+3(3)]{}^{2} [/tex]
[tex]8(2+9) ^{2} [/tex]
[tex]8 \times 11 ^{2} [/tex]
[tex]8 \times 121[/tex]
[tex]968[/tex]
Hope it is helpful...Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
Simplify x/12x+x^2
Find the excluded values step by step
Answer:
13/12 x²
Step-by-step explanation:
x / 12 x + x²
Rewrite
x / 12 x + x + x²
Write the division as fraction
1/12 x + x + x²
Calculate the product
1/12 x² + x²
calculate the sum
13/12 x²
A cylinder has a diameter of 12 cm and a height of 20 cm. What is the surface area and volume of the cylinder?
Answer:
980.1769079 cm^2
2261.946711cm^3
Step-by-step explanation:
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
The sum of two numbers is –25. One number is 10 more than
the other one. Find the numbers.
Answer:
A = -7.5 B = -17.5
Step-by-step explanation:
A + B = -25
A = B + 10
Plug the second equation into the first equation:
B + 10 + B = -25
2B = -35
B = -17.5
Plug that value into the first equation:
A - 17.5 = -25
A = -7.5
Write the equation of the line that has a slope of -2 and goes through the point (4, -3)
Answer:
y = - 2x + 5
Step-by-step explanation:
m , ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
m = - 2 and ( 4 , - 3 )
y - ( - 3 ) = - 2( x - 4 )
y + 3 = - 2x + 8
y = - 2x + 5
Please help!! Figure B is scaled copy of figure A, what is the scale factor from figure A to figure B?
Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, fig. B to fig. A
Consider the horizontal lengths, then
scale factor = [tex]\frac{8}{4}[/tex] = 2
Alma and Oliver both created this blue segment on the previous screen.
Alma used this expression to find the length: $$
Oliver used this expression to find the length: $$
Whose expression is correct?
Alma
Oliver
Both
Neither
Answer:
none
Step-by-step explanation:
that's not the correct sign
The ratio of two numbers is 7 : 5. If their difference is 42, find the numbers.
pls...answer my question
its urgent !
Answer:
First number = 147
Second number = 105
Step-by-step explanation:
Let the two numbers be 7x and 5x
7x - 5x = 42
2x = 42
x = 21
First number = 7x = 7 x 21 = 147
Second number = 5x = 5 x 21 = 105
Hope this helps!
Question is in the image below
9514 1404 393
Answer:
A) r = d/t
B) 221,760 ft/h
C) 42 mi/h
D) miles; the number is more comprehensible
Step-by-step explanation:
A) Given d = rt
Divide by the coefficient of r to solve for r.
r = d/t
__
B) Fill in the given numbers to find the rate in ft/h.
r = (665,280 ft)/(3 h) = 221.760 ft/h
__
C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.
(221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h
__
D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.
A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
Hi! please help :) ty! (10 points)
Explain the difference between finding the volume of this right rectangular prism with whole unit cubes and with 1/2 unit cubes.
help is appreciated :)
Answer:
Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.
Step-by-step explanation:
i hope my answer to be appreciated!!
Laura rented a movie. She started the movie at 11:32 am and it ended at 2:19pm. How long was the movie?
Answer:
2 hours and 32 minutes
Step-by-step explanation:
John Read a book at 11:32 and stopped at 2:14
What you have to do is add minutes up and hours up until you get to 2:14pm and all the hours and minutes it took to get there you add up and thats ur answer :)
PLEASE HELP I'M SORRY FOR A LOT OF QUESTIONS but I need help
Answer:
Hello! answer: 268 square meters
Step-by-step explanation:
To find the total surface area you find the area of each face then add them up so...
10 × 3 = 30
10 × 3 = 30
8 × 3 = 24
8 × 3 = 24
10 × 8 = 80
10 × 8 = 80
Now that I found the area for each face I will just add them up so...
30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!
[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]
Solution :The above pieces will form a cuboid, having dimensions :
[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]
[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]
[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]
We know that Surface area of Cuboid is :
[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]
Let's solve,
[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]
[tex]\longrightarrow2[80 + 24 + 30][/tex]
[tex]\longrightarrow2 \times 134[/tex]
[tex]\longrightarrow268 \: m {}^{2} [/tex]
[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
Can somebody help me? Plsss
Answer:
3/10
Step-by-step explanation:
There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10
Answer:
3/13
Step-by-step explanation:
Total cards in a deck=52
There are four cards of each number which in this case is 2,3,4
Total of 2s,3s,and 4s=12
12/52 simplify this and u get
3/13
Hope this helps u
simplify 4 by 5 + 2 in bracket 3 minus 2 by 3 in bracket
Answer and Step-by-step explanation:
(4 × 5 + 2)(3 - (2 × 3))
I think this is it but I'm not sure.
22 × -3 = -66 is I think the answer.
#teamtrees #PAW (Plant And Water)
Answer:
98/15
Step-by-step explanation:
[tex](\frac{4}{5} +2)[/tex][tex](3-\frac{2}{3} )[/tex]
=(4 + 5*2)/5 (3*3 -2)/3
=(4+10)/5 (9-2)/3
=(14/5 )(7/3)
if there is no any sign between the two fraction inside bracket then it means to multipli.
=14/5 * 7/3
=14*7/5*3
=98/15
i require help lol so help me pleasw
Answer/Step-by-step explanation:
Mean is a measure of center tendency which can be said to be the average value of a set of data. It can be referred to as the commonest value in a data set. It is the sum of all data values in a given set divided by the number of values.
For example, a test score for a class of 5 is given as 5, 6, 2, 4, 7
The mean = sum of all values/number of data values
= (5 + 6 + 2 + 4 + 7)/5
= 24/5
Mean = 4.8
In ΔSTU, \text{m}\angle S = (2x+10)^{\circ}m∠S=(2x+10) ∘ , \text{m}\angle T = (3x-9)^{\circ}m∠T=(3x−9) ∘ , and \text{m}\angle U = (6x-19)^{\circ}m∠U=(6x−19) ∘ . Find \text{m}\angle T.M∠T.
Answer: [tex]\text{m}\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔSTU, [tex]\text{m}\angle S = (2x+10)^{\circ}[/tex] , [tex]\text{m}\angle T = (3x-9)^{\circ}[/tex], [tex]\text{m}\angle U = (6x-19)^{\circ}[/tex]
To find: [tex]\text{m}\angle T[/tex].
We know that the sum of all the angles of a triangle is [tex]180^{\circ}[/tex].
In ΔSTU,
[tex]\text{m}\angle S+\text{m}\angle T+\text{m}\angle U=180^{\circ}\\\\ 2x+10+3x-9+6x-19=180\\\\ 11x-18=180\\\\11x =180+18\\\\11x=198\\\\x=\frac{198}{11}\\\\ x=18[/tex]
[tex]\text{m}\angle T = (3(18)-9)^{\circ}\\\\=(54-9)^{\circ}\\\\= 45^{\circ}[/tex]
Hence, [tex]\text{m}\angle T=45^{\circ}[/tex]