Answer: 34
f(-2) means inserting 'x = -2' into the equation.
x = -2
4*|-2 -4| +2
= 4*|-8| + 2
= 4*8 + 2
= 32 + 2
= 34
Find the gradient of each of these functions at the point indicated.
a) y = x^2 at (3,9)
b) y = - 4x^3 at (1,-4)
c) y = 2x^4 at (-1,2)
d) y = 6x at (2, 12)
Answer:
Remember that the gradient is equivalent o the derivative evaluated in one point.
And remember that if we have a function like:
f(x) a*x^n
The derivative is:
f'(x) = n*a*x^(n - 1)
Then knowing this, let's start:
a) y = x^2
the derivative is:
y' = 2*x
And we want to evaluate this in the point (3, 9), then we just need to replace x by 3.
y'(3) = 2*3 = 6
The gradient of y = x^2 at (3, 9) is 6.
b) y = -4*x^3
The derivative is:
y' = 3*(-4*x^2) = -12*x^2
And we want to evaluate this on (1, -4), then we need to replace x by 1.
y'(1) = -12*1^2 = -12
The gradient of y = -4*x^3 at (1, -4) is -12.
c) y = 2*x^4
The derivative is:
y' = 4*2*(x^3) = 8*x^3
And we want to evaluate this on (-1, 2), then we need to replace x by -1.
y'(-1) = 8*(-1)^3 = -8
The gradient of y = 2*x^4 at the point (-1, 2) is -8
d) y = 6*x
The derivative is:
y' = 6
We can see that here we do not have any dependence on x, so the gradient will be the same for all values of x, this means that the gradient at the point (2, 12) is 6.
Fay has a lemonade stand.
She spends £28 on ingredients.
She sells each glass of lemonade for £1.30.
If she sells 50 glasses of lemonade, what is her total profit?
Answer:
£65
Step-by-step explanation:
Franco is solving a system of linear equations algebraically. He find that there
are an infinite number of solutions. Which is a possible step in his solution?
Answer:
B. 5=5
Step-by-step explanation:
como es la tierra redonda o plana?
Answer:
plnaa
Step-by-step explanation:
Answer:
redonda
Step-by-step explanation:
tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. tara will randomly select 1 marble from each bag. what is the probability that tara will select a blue marble from each bag.
Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
5 divided by 7/8 as a fraction
Pls help 44 points
Answer:
5.714 (rounded to the nearest thousandth)
Step-by-step explanation:
PLZZZ HELP ITS DUE VERY SOON!
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answer:
Step-by-step explanation:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
Divide these fractions
2/3 = 3/4
Answer:
8/9
Step-by-step explanation:
I'm pretty sure after you make it a reciprocal you multiply it
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle
Answer:
yes!
Step-by-step explanation:
one side is longer than the other then the 10 inch line is used to connect them!
(hope this helps)
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
y=3x + 4 Find the value of y when x=4
If P is the incenter of triangle JKL, find the measure of JKP.
Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP = [tex]\frac{1}{2}(\angle JKN)[/tex]
= [tex]\frac{1}{2}(61)[/tex]
= 30.5°
What is Santon’s goal?
Anno one came answer that without numbers
Step-by-step explanation:
Answer:
Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B
Step-by-step explanation:
please help me !!! easy question and i’ll give brainliest
Answer:
x = 35.1 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos x = 27/33
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1(27/33)
x =35.09680123
To the nearest tenth
x = 35.1 degrees
Answer:
x=35.1
Step-by-step explanation:
cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]
x=35.1(correct to the nearest tenth)
y=120w+200 y intercept
Answer:
w= - 5/3 + 1/120y, y eR
Step-by-step explanation:
y=120w + 200
Move the terms
-120w=200-y
Divide both sides
w= - 5/3 + 1/120y
Write in parametric form
w= - 5/3 + 1/120y, y eR
Part B.
Describe two different ways you could find measure of CFD. What is the measure of
this angle?
Answer:
∠CFD = 60°
Step-by-step explanation:
Along line CE:
∠AFE + ∠AFB + ∠BFC = 180° (sum of angles on a straight line)
(7x + 4) + (8x + 6) + (6x + 2) = 180
collecting alike terms:
7x + 8x + 6x + 4 + 6 + 2 = 180
21x + 12 = 180
21x = 168
x = 8°
We could find the measure of CFD using:
a) Along line AD:
∠AFB + ∠BFC + ∠CFD = 180° (sum of angles on a straight line).
(8x + 6) + (6x + 2) + ∠CFD = 180
14x + 8 + ∠CFD = 180
∠CFD = `180 - (14x + 8)
∠CFD = 172 - 14x
b) ∠CFD = ∠AFE (vertical opposite angles are equal)
∠CFD = 7x + 4
To find value of ∠CFD, substitute x = 8
∠CFD = 7(8) + 4
∠CFD = 60°
What is the answer to this.
Answer:
(0,0)
Step-by-step explanation:
Answer:
o,o
Step-by-step explanation:
trust me
Owen is planning surgery to repair the torn ligament in his knee. The total cost of the surgery is expected to be about $7,000. Owen has a $1,000 deductible and then a 20 per- cent co-pay for this procedure. How much will Owen pay for his part of the surgery?
Answer:
$2200
Step-by-step explanation:
Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.
Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have
20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.
Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery
Which equation represents the same
linear function as the table below.
*
у
-4
5
0
N
N
N-
3
-
A
A y=2x-2
B 3x + 4y = 2
C -3x – 4y = -8
D y+4=-(4-5)
Answer:
I don't know child I wish I did child
What is the easiest way to do the distributive property
A spinner is shown below.
Which of the following relative frequencies match the expected probability?
Solve for x.
x/8 -1.1= -13.9
Answer:
x(x-8) + 12 = 0.
Step-by-step explanation:
What is the image of the point (2,3) after rotation of 180 counterclockwise about the origin
The height of a painting is √30 ft. Between which two consecutive whole numbers is √30? 7 and 8 6 and 7 4 and 5 5 and 6
Answer
5 and 6
Step-by-step explanation:
First | Find the square root of √30 (Put it in the calculator)
Answer | 5.47722557505...
Second | Round the number to the tenths
Anwer | 5.5 (ect the number in the hundreths place is greater than 5 so you bump up the 4 by 1 so 5.4 to 5.5)
Third | Get a line and see where 5.5 belongs it cant be 4 and 5 since the answer will need to be 4 or 5.0
Concusion | Here are the steps to find the answer hope this helped!
Energy and mass are related by the formula
E = mc².
m is the mass of the object
c is the speed of light
Solve the equation for the mass of the object, m.
Answer:
m=E/c².
Step-by-step explanation:
Transposing the formula
E=mc²
we divide both sides by c² then cancel out where necessary so m would stand alone
E/c²=mc²/c²
cancelling c² on the right hand side, equation becomes
m= E/c²
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Add the two expressions.
3y + 5 and y + 24
Enter your answer in the box.
Answer:
4y+29
Step-by-step explanation:
Collect like terms
3y + y = 4y
5 + 24 = 29
4y+29
Isaiah is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answer:
12750 is the answer... god bless
Have to find x,y and z.
Answer:
z= 2√2
x=2
y=2√2
7z2−38z+15 Select the factors of this quadratic expression.
Answer:
(7z-3)(z-5)
Step-by-step explanation:
7z^2-38z+15
(7z-3)(z-5)
Answer:
(z - 5)(7z - 3)
Step-by-step explanation:
Given
7z² - 38z + 15
Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 7 × 15 = 105 and sum = - 38
The factors are - 35 and - 3
Use these factors to split the z- term
7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )
= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term
= (z - 5)(7z - 3) ← in factored form
