Answer:
Answer is 1536
Step-by-step explanation:
plug in 3 for x
f(3) = 3*8^3 = 1536
Answer:
1536
Step-by-step explanation:
f(x) = 3 * 8 ^ x
x = 3
f(3) = 3 * 8 ^ 3
8^3 = 8 * 8 * 8
8^3 = 512
f(3) = 3 * 512
f(3) = 1536
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
Answer:
[tex]y = (x - 3)^2 - 12[/tex]
[tex](3,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 6x - 3[/tex]
Solving (a): In vertex form
The vertex form of an equation is:
[tex]y = a(x - h)^2 + k[/tex]
To do this, we make use of completing the square method.
We have:
[tex]y = x^2 - 6x - 3[/tex]
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
[tex]y = x^2 - 6x - 3[/tex]
[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]
[tex]y = x^2 - 6x + 9 - 12[/tex]
Factorize [tex]x^2 - 6x + 9[/tex]
[tex]y = x^2 - 3x-3x + 9 - 12[/tex]
[tex]y = x(x - 3)-3(x - 3) - 12[/tex]
Factor out x - 3
[tex]y = (x - 3)(x - 3) - 12[/tex]
Express as squares
[tex]y = (x - 3)^2 - 12[/tex]
Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]
Solving (b): State the coordinates of the vertex.
In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)
The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]
¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?
Porfaaaa
Answer:
(x+4)² + (y-k) ² = 16
Step-by-step explanation:
The equation of the circumference is expressed as;
(x-h) ² + (y-k) ² = r²
(h,k) is the centre
r is the radius
Given that diameter = 8
radius = 8/2
radius = 4units
Given that h = -4 and k = 2
(x-h) ² + (y-k) ² = r²
(x-(-4)) ² + (y-2) ² = 4²
(x+4)² + (y-k) ² = 16
This gives the required equation
PLS HELP ME ANSWER AT LEAST ONE OF THESE QUESTIONS ASAP
What restrictions may be necessary to the domain and range of linear equations?
How can you write the linear function given 2 points?
What restrictions may be necessary to the domain and range of linear equations?
Answer:
1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.
2. ax2 + bx + c
Step-by-step explanation: Hope this helps :)
Need help ASAP please and thank you
If you are given two complementary angles with one angle measured at x + 10 degrees and the other angle measured at x - 30 degrees, what is the value of x?
I need the first one ASAP!
How do I find the answer?
Answer:
ans is nothing
plz its is a jock
The admission fee to an amusement park is $27.It cost an additional p dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusment park and each rent a locker is 64 how much does it cost for one person
Answer:
32
Step-by-step explanation:
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?
Answer:
531.167 ft²
Step-by-step explanation:
Given data
Dimension of pool
Diameter =24ft
Radius =12ft
If the cover must hang by 1ft around, then the diameter is 26ft
Radius =13ft
Area of cover = πr²
Substitute
Area = 3.142*13²
Area =3.143*169
Area =531.167 ft²
Hence the minimum area is 531.167 ft²
(75 points) need help as soon as possible
Answer:
2 degrees / hour
Step-by-step explanation:
The average rate of change is
f(x2) - f(x1)
---------------
x2 -x1
We know that x2 is 6pm so f(x2) is 101
We know that x1 is 10 am so f(x1) is 85
101 -85
--------------
6 pm - 10 am
16 degrees
---------------
8 hours
2 degrees / hour
Answer:
We have this proportion....
36 / 12 = x / 9 where x is the model door height
Cross-multiply
36*9 = 12 * x
324 = 12 *x divide both sides by 12
27 = x and that's the model height in centimeters
PLSSS HELPPPP PLS need this to pass !!
Fhrjmfkfkjdjdkjsjjxbdhdjdiu
Answer:
-25
Step-by-step explanation:
[tex]-35[/tex] · [tex](\frac{5}{7})[/tex]
[tex]-\frac{175}{7}[/tex] Multiply the whole number by the numerator
-25 Then simplify by dividing 175 ÷ 7
-16t^2 + 1237t - 33 pls help im short on time and need the answer
Answer:
1237t - 289
Step-by-step explanation:
what is the difference between 3,0 and 3,-2
Answer:
if these are points on a graph, then the point (3,-2) has y-value 2 below the point at (3,0).
Step-by-step explanation:
ILL GIVE BRAINLY PLEASE HELP
Answer:
hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.
One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.
An equation is=
Answer:
15 oz
Step-by-step explanation:
The surface area of a cube is S(x) = 6x?, where x is the length of the side of each edge of a cube, Restrict the domain to create a one-to-one
function. Find and describe the inverse function.
Answer:
Restrict values of x to . Then the surface area function is one-to-one and has an inverse.
Write y instead of S(x). Interchange x and y, then solve for y.
This function could be used to find the edge of a cube with a given surface area. For example, if the area is x = 54, then the edge is
Step-by-step explanation:
the cost of 8 pencils in Rupees 16 find the cost of 5 pencils
Answer:
Step-by-step explanation:
cost of 8 pencils=16
cost of 1 pencil=16/8
=Rs 2
cost of 5 pencil=5*2
=Rs 10
Which of the following expressions is correctly written in scientific notation?
Answer:
The 3rd choice.
Step-by-step explanation:
The third choice has what it takes to be a scientific notation.
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
find the distance,(-1,2)(4,1)
Answer:
2√2 I think
Step-by-step explanation:
can someone pls pls help me?
Answer:
47yd
Step-by-step explanation:
4 + 15 + 15 + 13 = 47yd
Answer:
47 yd
Step-by-step explanation:
The perimeter is the distance around a polygon. It can be found by adding up all the lengths of the sides.
4 + 15 + 15 + 13
= 47
12- 1/5r = 2r + 1
R=??
Answer:
r = 5
Step-by-step explanation:
12 - 1/5r = 2r + 1
12 - 0.2r = 2r + 1
12 - 0.2r + 0.2r = 2r + 0.2r + 1
12 = 2.2r + 1
12 - 1 = 2.2r + 1 - 1
2.2r = 11
2.2r ÷ 2.2 = 11 ÷ 2.2
r = 5
Answer:
r = 5
Step-by-step explanation:
12- 1/5r = 2r + 1
12 = 11/5r + 1
5(11) = (11/5r)5
55 = 11r
r = 5
What are the domain and range of the function below?
Answer:
domain = 0 < x < infinity / range = y < 4
Step-by-step explanation:
You have a 3L jug and a 5L jug. You need to fill the 5L jug with exactly 4L of water. Write an algorithm to solve this problem. I will award Brainliest!
Fill the 3L jug, then pour its contents into the 5L jug.
Fill the 3L jug again, then pour as much of it (2L) as you can into the 5L jug.
Now the 5L jug is full, and the 3L jug is carrying 1L of water.
Empty the 5L jug.
Pour the 1L of water from the 3L jug to the 5L jug.
Finally, fill up the 3L jug, then transfer its water into the 5L jug. It now has 4L of water.
Plzzzz helppppp again
In the triangle below, find the value of a/// Please help!
Answer:
a= 45
Step-by-step explanation:
all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!
can someone help me with this?
Consider the functions f(x) = 2x + 10
Which statement is true?
Answer:
B
Step-by-step explanation:
It is linear and increasing.
If it is linear, it is increasing at a constant rate with a straight line.
Exponential means it is a curved line and would have an equation like f(x)=5^x
If it was decreasing, it would have a negative slope, such as -2x +10
Please help 50 point !!
Answer:
The last one
Step-by-step explanation:
[tex]x^3+1=0[/tex]
Subtract 1 from both sides
[tex]x^3+1-1=0-1[/tex]
simplify
[tex]x^3=-1[/tex]
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]
simplify
[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]
(That's basically the last one but in a different way of writing it)
Answer:
The last one
Step-by-step explanation:
Subtract 1 from both sides
simplify
simplify