Answer:
The answer is -1/4
given f(x)= 1/3(4-x)^2, what is the value of f(16)
Answer:
48
Step-by-step explanation:
f(x)= 1/3(4 - x)^2
f(16) = (1/3)(4 - 16)^2
f(16) = (1/3)(-12)^2
f(16) = (1/3)(144)
f(16) = 48
The value of [tex]f(16)[/tex] is 48.
Solve: [tex]f(x)=1/3(4-x)^2[/tex],
Solution:
1. Write the equation
[tex]f(x)= 1/3(4 - x)^2[/tex]
2. Substitute 16 into the x
[tex]f(16) = (1/3)(4 - 16)^2[/tex]
3. Simplify
[tex]f(16) = (1/3)(144)[/tex]
4. Multiply
[tex]f(16) = 48[/tex]
Therefore, the value of [tex]f(16)[/tex] is 48.
Claude has 7 paintings and he can paint 2 every week.
Clint has 10 paintings and he takes 2 weeks to paint
1 picture. How many weeks (w) will it be before Claude
has as many paintings as Clint?
Representing the word problem as an equation, it will take 2 weeks for them to have the same number of painting.
Representing the problem with equationnumber of weeks = w
Claude's painting after w weeks can be written thus ;
7 + 2w
Clint's painting after w weeks can be written thus ;
10 + 0.5w
Equating both expression:
7 + 2w = 10 + 0.5w
Collect like terms :
2w - 0.5w = 10 - 7
1.5w = 3
w = 3/1.5
w = 2
Hence, it will take 2 weeks for them to have the same number of painting.
Learn more on word problems;
https://brainly.com/question/21405634
#SPJ1
Translate each of the following word phrases into algebraic expressions using the symbols given.
Eg) Twelve times a number 'x', plus a second number 'y'
= 12x + y
1) Half the product of two numbers x and y, minus five times a third number z.
Answer:
half that's 1/2
product that's multiplication ×
therefore (x*y)/2- 5z
Four less than a number is twelve
m(x) = 3x + 2
n(x) = 2x - 5
Find m(x) and n(x)
Write the composite function. Show your work.
The price paid for $90 jeans after a 45% discount is applied
$
Step-by-step explanation:
Answer:
$49.50
Step-by-step explanation:
90 · 45% = 40.5
90 - 40.5 = 49.5
Are the given lenghts a right triangle? 28, 53,45
Answer:
not at all
Step-by-step explanation:
this is a scalene triangle cuz each side is a different length.
A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per second.
Answer:
152.7 cm/s
Step-by-step explanation:
The radius of DVD, r = 6 cm
The angular speed of DVD, [tex]\omega=243\ rev/min=25.45\ rad/s[/tex]
We need to find the linear speed of the DVD.
The relation between linear speed and angular speed is given by :
[tex]v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s[/tex]
or
v = 152.7 cm/s
So, the linear speed of the DVD is 152.7 cm/s.
Find the value of x to the nearest tenth
Answer:
I think it's 8 because the other sides are equal, so x and 8 should be equal as well
Express 40cm as a
percentage of 8m
Step-by-step explanation:
8m =800m
in percentage=40÷800×100
= 5%
resultado de la conversion
2.5 km a m
Answer:
Step-by-step explanation:
2.5 kilometre = 2500 Meter
Formula:
multiply the length value by 1000
(hope this helps can i plz have brainlist :D hehe)
Translated:
2.5 kilómetros = 2500 Metro
Fórmula:
multiplica el valor de la longitud por 1000
(Espero que esto ayude, ¿puedo tener una lista de ideas: D jeje?)
Some number subtracted by -6 is 41. Multiply this number by-3. Then divide
this number by -4. What is the final number?
write a∧4×a∧3 without exponents
Answer:
a x a x a x a x a x a x a or (a x a x a x a)(a x a x a)
I hope this helps bro
- Alie♥
Select the expression that is equivalent to 48 + 12.
O 6(8 + 6)
O 8(6+4)
O 12(4 + 1)
O 4644 + 3)
Marcie Bruno received a 4.2% merit increase and a 2.75% cost-of-living increase
after her quarterly review. Her new weekly salary was $788.92. What was her
weekly salary prior to the increases?
Answer:
734.1
Step-by-step explanation:
100%=788.92
4.2%=33.13
2.75%=21.69
33.13+21.69=54.82
788.92-54.84=734.1
What is the inequality that represents the graph shown?
Given:
The graph of an inequality.
To find:
The inequality that represents the graph shown.
Solution:
From the given graph it is clear that the boundary line passes through the points (0,-1) and (2,0). So, the equation of boundary line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-1)=\dfrac{0-(-1)}{2-0}(x-0)[/tex]
[tex]y+1=\dfrac{1}{2}x[/tex]
[tex]y=\dfrac{1}{2}x-1[/tex]
The boundary line is a dashed line and the shaded portion is below the boundary line so the sign of inequality must be <.
[tex]y<\dfrac{1}{2}x-1[/tex]
Therefore, the required inequality is [tex]y<\dfrac{1}{2}x-1[/tex].
In AABC, m_A = 45°, m_B= 89º and AC = 15. To the nearest tenth what is the measure of BA? ANSWER RN PLz!!
O A. 10
O B. 11.34
O C. 10.8
O D. 11

============================================================
Work Shown:
The triangle has the given angles A = 45 and B = 89
Let's find angle C
A+B+C = 180
C = 180-A-B
C = 180-45-89
C = 46
----------------
Segment BA, or side c, is opposite angle C
Segment AC, or side b, is opposite angle B
So we have this known info:
angle B = 89side b = 15angle C = 46Apply the law of sines to find c. Make sure your calculator is in degree mode.
sin(B)/b = sin(C)/c
sin(89)/15 = sin(46)/c
c*sin(89) = 15*sin(46)
c = 15*sin(46)/sin(89)
c = 10.7917406394501
c = 10.8
A right triangle has two legs with measure of 12 inches and 15 inches. Find the length of the hypotenuse to the nearest tenth of an inch.
Answer:
19 inches
Step-by-step explanation:
12^2+15^2=c^2
c=19.2094
1/8 divided by 5 = ??
Answer:
[tex]\frac{1}{40}[/tex]
Step-by-step explanation:
Answer:
1/40
Step-by-step explanation:
[tex]\frac{1}{8}[/tex] ÷ [tex]\frac{5}{1}[/tex]
[tex]\frac{1 x 1 }{8 x 5}[/tex] = 1/40
factorise 3(x-y)^2 - 2(x-y)
Answer:
[tex](x - y) [3(x - y) - 2][/tex]
Step-by-step explanation:
[tex]3(x - y)^{2} - 2(x - y)[/tex]
Lets take [tex](x - y)[/tex] common from the expression.
[tex]=> (x - y) [3(x - y) - 2][/tex]
The factors of the expression 3(x - y)² - 2(x - y) will be (3x - 3y - 2) and (x - y).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 3(x - y)² - 2(x - y)
Simplify the expression, then we have
⇒ 3(x - y)² - 2(x - y)
⇒ (x - y)[3(x - y) - 2]
⇒ (x - y)(3x - 3y - 2)
The factors of the expression 3(x - y)² - 2(x - y) will be (3x - 3y - 2) and (x - y).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
11806 to its nearest 100
Answer:
11800
Step-by-step explanation:
Answer:
11800
Step-by-step explanation:
Consider the quadratic function
fx) = x2 - 8x -9
What is the vertex of the function?
Vertex
Halp me plsss
Answer:
bahhahahaha Im sorry i dont know
Solve the equation for x 1/3x - 15 = 12
A) x=27
B) x=36
C) x=45
D) x=81
PLEASE HELP SO I CAN GO PLAY
Answer:
Posting this just to get points
Step-by-step explanation:
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
you can answer as the color marked instead of typing the whole thing out!
Help with both questions please
Answer:1:b i think
2: 125
Step-by-step explanation:
Answer: Division ; 125
Step-by-step explanation:
First do division because (PEMDAS) do what is in the parenthesis first which is dividing the numbers inside them.
125 (just used a calculator lol)
work out the value of x
Answer:
20°
Step-by-step explanation:
4x + 5x = 180° ( being co-interior angles)
9x = 180°
x = 180°/ 9
x = 20°
Hope it will help :)
after 7 years, an initial investment of $600 earned $84. Find the interest rate
Answer:
2%
Step-by-step explanation:
Solving our equation
r = 84 / ( 600 × 7 ) = 0.02
r = 0.02
converting r decimal to a percentage
R = 0.02 * 100 = 2%/year
The interest rate required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
over 7 years is 2% per year.
Kind of confused, can someone help?
in the figure above if PQRS is a square, what is the value of a?
Answer:
sino me quivoco es 1/53 espero aber ayudado
Use the shapes to answer the question.
Which name describes all of the shapes?
O A. parallelogram
O B. quadrilateral
C. rectangle
D. rhombus
O E trapezoid
Answer: B. quadrilateral
Step-by-step explanation:
A quadrilateral is used to describe polygons with four sides. Polygons are two dimensional shapes that are closed. and have sides that are straight.
Parallelograms, rectangles, rhombuses, trapezoids are all four sided polygons as they are closed and have straight sides and so fall under the umbrella term for shapes with four sides, Quadrilateral.