Answers
(5x³-7)(2x²+1)
OPTION D is the correct answer
Related Questions
`find the equatifindon of tangent and normal of parabola y²=16ax at point whose coordinate is -5a.
Answers
Answer:
[tex] \rm \displaystyle y _{ \rm tangent} = - \frac{8}{5} x - \frac{5}{2} a[/tex]
[tex] \rm \displaystyle y _{ \rm normal} = \frac{5}{8} x - \frac{765}{128} a[/tex]
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
finding the tangent line
equation of a line given by:
[tex] \displaystyle y = mx + b[/tex]
where:
m is the slopeb is the y-interceptto find m take derivative In both sides of the equation of parabola
[tex] \displaystyle \frac{d}{dx} {y}^{2} = \frac{d}{dx} 16ax [/tex]
[tex] \displaystyle 2y\frac{dy}{dx}= 16a[/tex]
divide both sides by 2y:
[tex] \displaystyle \frac{dy}{dx}= \frac{16a}{2y}[/tex]
substitute the given value of y:
[tex] \displaystyle \frac{dy}{dx}= \frac{16a}{2( - 5a)}[/tex]
simplify:
[tex] \displaystyle \frac{dy}{dx}= - \frac{8}{5}[/tex]
therefore
[tex] \displaystyle m_{ \rm tangent} = - \frac{8}{5}[/tex]
now we need to figure out the x coordinate to do so we can use the Parabola equation
[tex] \displaystyle ( - 5a {)}^{2} = 16ax [/tex]
simplify:
[tex] \displaystyle x = \frac{25}{16} a[/tex]
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
[tex] \rm \displaystyle y - ( - 5a)= - \frac{8}{5} (x - \frac{25}{16} a)[/tex]
simplify which yields:
[tex] \rm \displaystyle y = - \frac{8}{5} x - \frac{5}{2} a[/tex]
finding the equation of the normal line
normal line has negative reciprocal slope of tangent line therefore
[tex] \displaystyle m_{ \rm normal} = \frac{5}{8}[/tex]
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
[tex] \rm \displaystyle y - ( - 5a)= \frac{5}{8} (x - \frac{25}{16} a)[/tex]
simplify which yields:
[tex] \rm \displaystyle y = \frac{5}{8} x - \frac{765}{128} a[/tex]
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)
Answer:
In attachment
Step-by-step explanation:
For answer refer to attachment .
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answers
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answers
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
The number of points Marcus scored in different rounds of a computer board
game is shown 236, 342, 328, 352, 352, 306, 317
What score does Marcus need in his next game to have a mean of exactly 325?
HELP FAST PLZ
Answers
Answer:583
Step-by-step explanation:
I took the test
According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7
Answers
A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters
Answers
Answer:
bottle top
Step-by-step explanation:
Find the value of X (in this picture)
Answers
Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D.
Answers
Answer:
where is the question
Step-by-step explanation:
send question
Answer:
The answer is B: 67/10x + 9
Step-by-step explanation:
I did the test
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answers
Answer:
9
Step-by-step explanation:
the 2 angles create a right angle ( indicated by the little square.)
right angles have a measure of 90 degrees
hence, 90 = 72 + 2x
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created.
90 = 72 + 2x
step 1 subtract 72 from each side
90 - 72 = 18
72 - 72 cancels out
we now have 18 = 2x
step 2 divide each side by 2
18 / 2 = 9
2x / 2 = x
we're left with x = 9
Kind of struggling with this would anyone be able to explain step by step? Id really appreciate it :)
Answers
Answer:
75
Step-by-step explanation:
this problem statement tries to confuse us. there is no pi involved - also because there are no round surfaces and edges involved.
what do you think the surface area of such a 4-sided pyramid consists of ?
think !
there are the 4 walls or sides. and then there is the bottom too (if you lift the pyramid up, yes, the "floor" or bottom also belongs to the surface area).
each "wall" or side is actually a triangle.
and the bottom is a square.
what is the area of a triangle (At) ?
At = base length × height / 2 = 3×11/2 = 33/2 in²
what is the area of a square (As) ?
it is a special form of a rectangle, where length = width.
the area of a rectangle (Ar) = length × width.
and the area of a square (As), where length = width is
As = side length × side length = length² = 3² = 9 in²
our pyramid now has 4 "walls", all of the same size, so we need 4 times the area of such a single triangle.
and then add the bottom area.
=> the pyramid surface area (Ap) is
Ap = 4 × At + As = 4×33/2 + 9 = 132/2 + 9 = 66+9 = 75 in²
Can someone please help me out? It would really make me happier if you did.
The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls. Thank you for understanding.
Answers
Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be a and the second number be b.
Their difference is 16. Hence:
[tex]a-b=16[/tex]
The first number is three times the second number. So:
[tex]a=3b[/tex]
Substitute:
[tex]3b-b=16[/tex]
Solve for b. Subtract:
[tex]2b=16[/tex]
And divide both sides by two:
[tex]b=8[/tex]
So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.
In the figure, the circle with center A transforms to produce the circle with center A'Which transformation took place?
A. dilation about the origin by factor of 3
B. vertical stretch with respect of the x-axis by a factor of 2
C. Horizontal stretch with respect to y-axis by factor.
D. dilation about the origin by a factor of 2
Answers
Answer:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
Grandmother decides to give a monthly allowance to her granddaughter from the trust fund. The allowance is to start at $ at the birth of her granddaughter, and then increase by $ each month afterwards. Describe the grandmother's gifts, approximately, in terms of a continuous rate (in dollars per year). (Use a linearly increasing function with no constant term for .)
Answers
Answer:
[tex]y(t) =10t[/tex]
Step-by-step explanation:
The summary of the given parameters are:
[tex]a = 0[/tex] --- initial savings
[tex]m = 10[/tex] --- monthly savings
[tex]t \to[/tex] months
Required
The linear function
The linear function is calculated using:
y(t) = Initial Savings + Monthly Savings * Months
So, we have:
[tex]y(t) =a + m*t[/tex]
[tex]y(t) =0 + 10*t[/tex]
[tex]y(t) =10t[/tex]
► Find the percent change and tell whether it is a percent increase or a
percent decrease.
1 Original amount: 20
End amount: 15
2 Original amount: 30
End amount: 45
3 Original amount: 625
End amount: 550
4 Original amount: 320
End amount: 112
5 Original amount: 165
End amount: 222.75
6 Original amount: 326
End amount: 423.80
7 Original amount: 27
End amount: 38.61
8 Original amount: 60
End amount: 70.02
Answers
Answer:
1 Original amount: 20
End amount: 15
(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease2 Original amount: 30
End amount: 45
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase3 Original amount: 625
End amount: 550
550/625 =550 ÷ 625 =0.880.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease4 Original amount: 320
End amount: 112
(112-320):320x100 =100 =(112:320-1)x100 =100 =35-100 = -65% decrease5 Original amount: 165
End amount: 222.75
165/222.75 =165 ÷ 222.75 ≈0.7407407407407410.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase6 Original amount: 326
End amount: 423.80
(423.8-326):326x100 =100 =(423.8:326-1)x100 =100 =130-100 = 30% Increase7 Original amount: 27
End amount: 38.61
(38.61-27):27x100 =100 =(38.61:27-1)x100 =100 =143-100 = 43% Increase8 Original amount: 60
End amount: 70.02
(70.02-60):60x100 =100 =(70.02:60-1)x100 =100 =116.7-100 = 16.7% Increaseneed answer !! please
Answers
Step-by-step explanation:
-5(4)+2
-20+2
-18
just put 4 on the place of x
Answer:
[tex]=-18[/tex]
Step-by-step explanation:
[tex]g(x)=-5x+2[/tex]
Let's substitute 4 for x and solve.
[tex]g(4)=-5(4)+2[/tex]
[tex]g(4)=-20+2[/tex]
[tex]g(4)=-18[/tex]
This means that when the function of [tex]g[/tex] is 4, then the [tex]x[/tex] value is [tex]-18[/tex]
Hope this helps.
Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?
Answers
Answer:
the answer is w = 148-12h/12+2h
The equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.
We have to solve for w.
What do you mean by Equivalent expression ?Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.
Solve for x : [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]We have -
[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]
log(x) - log(ω) = 2π
log(x) = 2π + log(ω)
x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]
According to the question, we have -
148 = 2 (6w + 6h + hw)
(6w + 6h + hw) = 74
hw + 6w = 74 - 6h
w(h + 6) = 74 - 6h
[tex]$w=\frac{74-6h}{h+6}[/tex]
Hence, the equivalent equation is -
[tex]$w=\frac{74-6h}{h+6}[/tex]
To solve more questions on Rearranging expression, visit the link below-
https://brainly.com/question/1824488
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Find the equation of the line that
is perpendicular to y = -4x + 3
and contains the point (8, 1).
y =
x+
Enter
Answers
Answer:
Step-by-step explanation:
L : y = -4x + 3
with a slope of -4.
Any line perpendicular to L will have a slope m such that
m ( -4) = -1, or m = 1/4
Any line perpendicular to L passing through point (a,b) will therefore have the form
P : (y-b) = (x-a)/4
When (a,b) = (8,1) as given, then substitute in P to get
P : (y-1) = (x-8)/4
y=x/4 -2 + 1
y = x/4 -1
I would greatly appreciate it if someone could help me with this. A car travelled 400 km in 5 hours. Joe calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Joe did incorrectly?
Answers
It sounds like Joe calculated 5/400 = 0.0125
He divided in the wrong order. It should be 400/5 = 80 since we divide distance over time to get the speed (or rate).
-----------------
In terms of x and y, we basically are saying
slope = rise/run
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (400 km)/(5 hrs)
slope = 80 km per hour is the speed
Which fraction is equal to 3?
0A) 30/10
OB) 1/3
OC) 10/3
OD) 13/1
Answers
Answer:
The answer is 30/10
Step-by-step explanation:
30 divided by 10 is 3.
30/10=3
Explanation: Divide 30 by 10 and solve. You could insert this into your calculator to solve. You should get the answer of 3.
BET YOU CANT SOLVE THIS....
Answers
The center of a circle is at (6,-7) and the diameter of the circle is 22. Which of the following is the equation of the circle? (Part 1 and Part 2)
Answers
Answer:
P1.H.x²+y²=34
centre[h,k]=(0,0)
point=[3,5]
now
radius=[tex]\sqrt{(0-3)²+(0-5)²}=\sqrt{34}[/tex]
now
equation of a circle is;
(x-h)²+(y-k)²=[tex]\sqrt{34}²[/tex]
x²+y²=34
P:2I.(x-6)²+(y+7)²=121
centre[h,k]=(6,-7)
diameter=22
radius[r]=22/2=11
now
equation of a circle is;
(x-h)²+(y-k)²=r²
(x-6)²+(y+7)²=11²
(x-6)²+(y+7)²=121
Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x
Answers
Answer:
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]
Required
Add
The statement can be interpreted as:
[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]
Take LCM
[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]
10t+[tex]\geq[/tex]130+3.5t
Answers
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
Find the volume of the pentagonal prism?
please help me
Answers
Answer:
126 cm^3
Step-by-step explanation:
Use volume formula (Bh=V): 21×6=126
The volume of the pentagonal prism is 126 cm³
What is pentagonal prism?Pentagonal prism has two pentagonal bases, top and bottom and five rectangular sides.
How to find the the volume of pentagonal?Volume of the pentagonal prism = Area of the pentagon• height of the prism
Given:
Area of the pentagon = 21 cm²
Height of the prism = 6 cm
The volume of pentagonal prism = Area of the pentagon * Height of the prism
The volume of pentagonal prism = 21 cm² × 6 cm = 126 cm³
Therefore, the volume of pentagonal prism is 126 cm³
Learn more about the volume of pentagonal prism here:
https://brainly.com/question/31028600
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please help zkhdusjdushs
Answers
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
i need help with this geometry question pleasee
Answers
Answer:i dont know
Step-by-step explanation:lol
Answer:
tmabm queria saber
Step-by-step explanation:
NEED HELP ASAP
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
−one thirdx + 3 = x − 1
one thirdx − 3 = −x + 1
−one thirdx + 3 = −x − 1
one thirdx + 3 = x − 1
Answers
Answer:
[tex]\frac{1}{3}x-3=-x+1[/tex]
Step-by-step explanation:
Since there are plenty of lines that can pass through a single point, he only way to solve this question is by substituting values of [tex]3[/tex] into each equation and seeing if both equations return a value of [tex]-2[/tex].
Starting with the first answer choice:
[tex]-\frac{1}{3}(3)+3=3-1,\\-1+3=3-1,\\2=2[/tex]
Since none of the equations here return a value of [tex]-2[/tex], the correct answer must not include [tex]-\frac{1}{3}x+3[/tex] or [tex]x-1[/tex].
Thus, we can eliminate answer choices A, C, and D, hence the correct answer is [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answers
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
Is 8ft equal to 3yd[tex]8ft=3yd?[/tex]
Answers
Answer:
False
Step-by-step explanation:
There is 3 feet in every yard so if we multiply by 3, we get 9. This is more than 8 so it is NOT equal to 3 yards.
Best of Luck!
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answers
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
