Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
Find the area of the circle. 9mm.
Step-by-step explanation:
The answer is 254.57142857
in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16
(b) sixteen is the answer
Answer:
16 should come next
Step-by-step explanation:
First, determine the rule
N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.
Therefore, subtract 16 from 32 to receive 16
QUICK
Find the area of the shaded region. Use 3.14 for pi.
Answer:
The shaded region is [tex]353.25m^2[/tex].
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:
[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]
Answer:
353.25 m²Step-by-step explanation:
Shaded region is the difference in the area of the bigger circle and two smaller circles.
Radius of bigger circle = 15 mRadius of smaller circles = 15/2 = 7.5 mThe shaded area:
A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²The cell phone company charges $42 plus .02 per text (t). Which algebraic expression represents the total charge per
month?
A. 42.02t
B. 42 + .02t C. 44t. D. 42 + t
PLEASE HELP
Answer:
the answer is b) 42 + .02t
EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
Evaluate d-17 when d=30
d-17
d=30
Replace d
30-17=13
Answer:
d-17
= 30-17
= 13
Step-by-step explanation:
Since d = 30, so d-17= 13
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )
Answer:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,1)[/tex] [tex]B =(2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]D = (5,1)[/tex]
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
[tex](x,y)=>(-x,y)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]
When a point is translated 2 units down, the rule is:
[tex](x,y) => (x,y-2)[/tex]
So:
[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]
[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]
[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]
[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]
So, the new coordinates are:
[tex]A" =(-1,-1)[/tex] [tex]B" =(-2,1)[/tex]
[tex]C" =(-4,1)[/tex] [tex]D" =(-5,-1)[/tex]
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
if a = 7 and b = 2, find the value of (a - b) ²
Answer:
substitute it into the value that they give then expand the formula which is
a^2-2ab+b^2
Step-by-step explanation:
solve each system by substitution y=2x-1. 3x+8y=11
Answer:
x=1, y=1
Step-by-step explanation:
Sub y=2x-1 into 3x+8y=11
3x+8(2x-1)=11
3x+16x-8=11
19x=11+8
19x=19
x=1
Sub x=1 into y=2x-1
y=2(1)-1
y=2-1
y=1
sin(20)=x/670 ????????
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
Write 0.31% as a decimal.
Answer:
0.31% = 0.0031 in decimal form.
Step-by-step explanation:
Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x
Answer:
100 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees, so,
45+35=80
180-80=100
hope this helps!!!
DUE SOON PLEASE HELP
Answer:
Im pretty sure its 114 m^2 sorry if im wrong
Answer:
The total surface area of the figure would be 114m.
May i get someone to help with these questions
6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81
8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54
Answer:
8) 0.46
Step-by-step explanation:
54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54
100% - 54% = 46%
46%/100 = 0.46
You're #6 is unclear, what is V?
Please help out !
Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6
(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answer:
Its - 2..................
Which is the simplified expression for 3^-4*2^3*3^2/2^4*3^-3
[tex]\frac{3^-^4*2^3*3^2}{2^4*3^-^3}\\=\frac{3}{2}[/tex]
Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?
Answer:
the answer should be 9, im not sure tho I vaguely remember this
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
Answer:
21
Step-by-step explanation:
The base of a circular fountain has a radius of 3.5 feet. What is the approximate circumference of the base of the fountain?
Answer:
circumference = 21.98 feet
Step-by-step explanation:
circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
find the value of given expression
[tex] \sqrt{440 + 1} [/tex]
Answer:
21
Step-by-step explanation:
[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]
Please help and make sure you get it right.
Answer:
Both 1 and 2
Step-by-step explanation:
The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)
Answer:
13
Step-by-step explanation:
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What is the equation for the graph on question 1
Answer: f(x) = x^2 - 4*x
Step-by-step explanation:
This is a quadratic equation, that can be written in factorized form as:
f(x) = A*(x - a)*(x - b)
Where A is a real number, a and b are the roots of the equation.
In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:
a = 0
b = 4
So the equation is:
f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)
Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4
Then:
f(2) = A*2*(2 - 4) = -4
= A*2*(-2) = -4
= A*-4 = -4
A = -4/-4 = 1
A = 1
Then the equation is:
f(x) = x*(x - 4) = x^2 - 4*x
A rectangle has a width of 3 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x.
Answer:
6
Step-by-step explanation:
the length is 6 inch.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, we have,
A rectangle has a width of 3 inches and a length of x inches.
The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.
i.e. 2(3+x)=3x
x=6
hence, the length is 6 inch.
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