The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?
Answers
Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
Related Questions
how do you simplify this equation?
Answers
Answer:
The answer is B --> [tex]\frac{x^{2} }{3x^{2} -1}[/tex]
How I got that:
These are really easy, you're simply looking for numbers that you can factor down. Like here:
I took:
[tex]\frac{4x^{2} }{12x^{2} -4}[/tex]
and saw that I could factor out 4 from the denominator:
[tex]\frac{4x^{2} }{4(3x^{2} -1)}[/tex]
and then I canceled out the common factor (4 because its on both sides):
[tex]\frac{x^{2} }{3x^{2} -1}[/tex]
And there ya go!
~That's All Folks~
-Siascon
Answer: It's B
Step-by-step explanation:
22x2
Simplify ————————
12x2 - 4
4.1 Pull out like factors :
12x2 - 4 = 4 • (3x2 - 1)
13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine
Answers
Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?
4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks
Answers
Answer:
He can walk 0.25 blocks in 1 minute
Step-by-step explanation:
If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.
7.5/30 = 0.25
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answers
Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
Please solve this...I can;t do it do it
Answers
Answer:
Area = 867 meters
Step-by-step explanation:
You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.
If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch
Answers
Answer:
there are 6.45 or 6.5 square cm in one square inch
Step-by-step explanation:
What is the completely factored form of f(x)=x^3+5x^2+4x-6
Answers
Answer:
(x+3)(x^2+2x-2)
Step-by-step explanation:
rewrote the expression
then factor out common numbers, variables, and exponents
Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3
Answers
Answer:im pretty sure its d
Step-by-step explanation:
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answers
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
cannot decide which of two washing machines to buy. The selling price of each is $. The first is marked down by %. The second is marked down by % with an additional % off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Answers
You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.
Step-by-step explanation:
NEED HELP PLEASE!!!!!!!
Answers
Is the answer
Pls mark brainliest
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
Answers
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks
Answers
Answer:
15
Step-by-step explanation:
Order
2, 9, 15, 17, 18
Find Median Position
Use the formula
[tex] \frac{n + 1}{2} [/tex]
where n is the number of numbers.
Substituting in, 5 + 1 is 6, divided by 2 is 3.
Find the number at the correct position
15
How can I solve for t?
Answers
Answer:
This is not possible with 2 equal symbols
0.2343217 Is it rational or irrational
Answers
FACTORIZE AND Split the middle term: 72 + b - b^2
Answers
Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
a statue of abraham lincoln casts a 9-foot shadow at the same time the white house casts 48-foot shadow . if the white house is 70 feet tall , how tall is the statue of abraham lincoln
Answers
Step-by-step explanation:
let's ignore the question, if the statue can cast an isolated shadow based on its location ...
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
48 × f = 9
f = 9/48 = 3/16
therefore, the height of the statue is
70 × f = 70 × 3/16 = 210/16 = 13.125 ft
A cylinder has a height of 18 feet.
Its volume is 16,334.28 cubic feet.
What is the radius of the cylinder?
Answers
The answer is 17, Volume = h × π×r^2
Divide by known height from both sides
Divide by pi
square root
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answers
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
Sue wants to increase 160 by 4%
She writes down
160* 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->
Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%
160 * =
Answers
Answer for b) = (160*0.06= 9.6)
160-9.6= 150.4
Answer:
a) 1 04.
b) 160 * 0.94.
Step-by-step explanation:
b) We multiply by 1 - 0.06 = 0.94.
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.
Answers
Answer:
20m
Step-by-step explanation:
let the length be x and the width be y
x = 4y
2x + 2y = 50
2(4y) + 2y = 50 ( since x = 4y )
8y + 2y = 50
10y = 50
y = 5m
x = 4y
x = 4(5)
x = 20
pls mark me the brainliest
When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers
Answers
Answer:
k = 1 or 2 or 5 or 10
Step-by-step explanation:
Suppose GCD is k, 2 numbers are kA and kB
LCM is k*A*B,
GCD*LCM: k*(k*A*B) = 200
k² * A*B = 200
A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
k² (k is integer) could be 1, 4, 25, 100
k = 1 or 2 or 5 or 10
Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow.
Answers
Complementary angles are two angles that add up to 90°
Supplementary angles are two angles that add up to 180°
Vertical angles are two angles that are opposite of each other and are also congruent
What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13
Answers
Step by step
look at this inequality
Answers
Drag each tle to the correct box
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation
Answers
MAGAKAKASUNOD NA PO YAN
#CARRYONLEARNING
pa brainliest po thanks
Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks?
Answers
Answer:
$37,396
Step-by-step explanation:
take 2388.5x4 since there are 4 weeks = $9554
then you subtrct since the portfolio fell.
So $46,950-9554 = $37,396
.can you help please
Answers
Answer:
38.81cm³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Diameter is 4.2
radius= 4.2/2 = 2.1 or 21/10
4/3 × 22/7 × 21/10 × 21/10 × 21/10
= 4851/125
= 38.808
≈38.81cm³
The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 64 cadets and B company has 80 cadets, what is the greatest number of cadets who can be in each row?
Answers
Answer:
72
Step-by-step explanation:
If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets
Answer:
the answer is 16 please make me brainliest :> thx uuu
Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.
Answers
The steps to construct a parallelogram using a ruler and a compass are;
1. Draw a starting line segment l linger than 8 cm.
2. Mark point K on the line segment.
3. Widen the compass to a radius of 8 cm using the ruler.
4. Place the compass at point K and with the 8 cm radius mark point L on the line l.
5. At point L construct a 45° angle as follows;
Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.The above steps bisects the 90° angle of the perpendicular lines.
Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.
7. At point M construct a line YM at 45° angle to the line l.
8. From point M draw an arc to intersect YM and label the point as point N.
9. Join point M and N to complete the construction of the parallelogram KLMN.
Learn more about construction using a compass and a ruler here:
https://brainly.com/question/1528158?section=similar