Answer:
f(x)=2x^2+3
Step-by-step explanation:
If you see the f(x), you can see that it is squished by a factor of 2, and it is translated upwards 3 units. that means that the final equation is f(x)=2x^2+3, which is B
The Equation of red parabola is y = 2x² + 3.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have a function,
g(x) = x²
It is a parabola with vertex at (0,0) and the sign is positive then the parabola opens up.
Then, General equation of parabola is
y= a(x - h)² + k
As, the The graph of F(x) opens up that is why it will have positive x²
and vertex at (0, 3)
So, the equation of parabola
y= 2(x - 0)² + 3
y = 2x + 3
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Topics 1–16: Online Cumulative/Benchmark Assessment
LIVE
Sheila draws three rectangles with a perimeter of 14.
Part A
Which of the following sizes of rectangles could Sheila have drawn?
A. 2 x 5
B. 3 x 5
C. 3x4
D. 2 x 4
E.
1 x 6
Answer:
The following sizes of rectangles could have been drawn: A, C and E
The formula for X's cumulative distribution function (CDF) is
a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14
b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14
c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11
d. The cumulative distribution function of X, for x = 5, F(5) = 1
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14
b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14
c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11
d. The formula for X's cumulative distribution function (CDF) is
F(x) = P(X < x)
For x = 1, F(1) = 1/7
For x = 2, F(2) = 1/7 + 1/14 = 3/14
For x = 3, F(3) = 1/7 + 1/14 + 3/14 = 5/14
For x = 4, F(4) = 1/7 + 1/14 + 3/14 + 2/7 = 11/14
For x = 5, F(5) = 1
As a result, X's CDF is:
F(x) = {1/7, x < 1
3/14, 1 ≤ x < 2
5/14, 2 ≤ x < 3
11/14, 3 ≤ x < 4
1, x ≥ 4}
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complete question:
Let X have probability mass function
x 1 2 3 4 5
px(x) 1/7 1/14 3/14 2/7 2/7a. Calculate P(X≤3).
b. Calculate P(X<3).
c. Calculate P(X<4.12|X>1.638).
d. Find the cumulative distribution function of X.
Find the value of x
X =
Answer:
x = 20
Step-by-step explanation:
180° = total
3 = amount of angles
180 ÷ 3 = 60°
60° + 60° + 3x = 180°
120° + 3x = 180
3x = 180 - 120
3x = 60
x = 20
PLEASE PLEASE PLEASE HELP/// NO LINKS OR RANDOM ANSWERS, REALLY IMPORTANT :(
Answer:
side a = 17.58722
angle a = 41.96 degrees
angle b = 47.04 degrees
Step-by-step explanation:
Obtuse Scalene Triangle
Side a = 19.25
Side b = 17.58722
Side c = 26.3
Angle ∠A = 47.04° = 47°2'23" = 0.821 rad
Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad
Angle ∠C = 91° = 1.58825 rad
C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3
Area = 169.25122
Perimeter p = 63.13722
Semiperimeter s = 31.56861
Height ha = 17.58454
Height hb = 19.24707
Height hc = 12.87082
Median ma = 20.19553
Median mb = 21.30255
Median mc = 12.92339
Inradius r = 5.36138
Circumradius R = 13.152
Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]
Centroid: [12.76184, 4.29027]
Inscribed Circle Center: [12.31861, 5.36138]
Circumscribed Circle Center: [13.15, 0.22953]
Evaluate the expression when x=48 and y=3 x/8-y
Answer:
[tex]9\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\frac{x}{8-y}=\frac{48}{8-3}=\frac{48}{5}=9\frac{3}{5}[/tex]
Answer:
9.6
Step-by-step explanation:
x=48
y=3
=>x/8-y
=>48/(8-3)
=>48/5
=>9.6
BERE
Which function represents exponential decay?
o
f(x) = {
f(x) = (-)
o pux) = 4(-3)
Of(x) = 4
Step-by-step explanation:
Sorry I don't kNkw the amswer
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
translation (aka shifting)rotationreflectionAny of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
How long does daily skips take
This one's not too difficult, giving Brainliest and 40 points to whoever has the best answer
Select all of the prime numbers.
15
2
8
31
1
13
Answer:
2 and 31 are prime
15 and 8 are composite
1 is neither prime nor composite
Step-by-step explanation:
Prime numbers are only divisible by one and themselves
15 = 5*3 composite
2 = prime
8 = 4*2 composite
31 = prime
1 neither prime nor composite
13= prime
According to the graph, what is the factorization of x2 - 6x + 5?
A. (x + 5)(x+1)
B. (x - 5)(x+ 1)
C. (x - 5)(x - 1)
D. (x + 5)(x - 1)
The factorization of x2 - 6x + 5 is (x - 1)(x -5)
How to determine the factorization?From the graph, the zeros of the function are:
x = 1 and x = 5
Set the zeros to 0
x - 1 = 0 and x - 5 = 0
Multiply the zeros
(x - 1)(x -5) = 0
Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)
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PLEASE ANSWER ASAP!!!
Answer:
1/a^2 is the answer to this question
pls check screenshot 50 points
Answer:
See below
Step-by-step explanation:
Part (a)f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
Part (b)f(x) has vertex (-1, 2)
The function y = f(-x) + 2 will have the vertex changed as per rule:
(x, y) → (-x, y + 2)So the new vertex is:
(-1, 2) → (-(-1), 2 + 2) = (1, 4)you buy 60 of your favorite songs from a web site that charges $0.98 for each song. what is the cost of 60 songs ? use mental math
Answer:
$58.8
Step-by-step explanation:
You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x
Answer:
1.5
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{3}^x[/tex]
[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]
Required
What value cause a stretch
For the function to stretch, then the scale factor must be greater than 1.
From the list of options.
Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]
Hence, 1.5 will cause a stretch.
Answer:
ITS D. 1.5
Step-by-step explanation:
[tex]\text{Solve for x:}\\\\3x + 65 = 523\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]{x=152.666....[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
3x+65=5233x=523-653x=458x=458/3x=152.66...[tex]\text{ Thank ~you!! }[/tex]
can someone please help me!!!!
Answer:
10 * 9 = 90
90/2 = 45
45 cm^2
Help:( me please I don’t know what to do I completely for got it
Answer:
x=1
y=-2
point form- (1,-2)
Is this right? ASAP PLS HURRY!
Simplify this expression
Answer:
2√65(13+√2)
=2√130+26√65 (Decimal: 232.42221)
Step-by-step explanation:
Factor the expression completely
8x2-18
A. 2(2x - 3)(2x + 3)
B. 2(2x+3)(2x - 3)
C. 2(4x2 – 9)
D. 2(4x+3)(x - 3)
Answer:
2 ( 2x+3) (2x-3)
Step-by-step explanation:
8x^2-18Factor out the greatest common factor of 2
2( 4x^2 -9)
2 ( (2x)^2 - 3^2)
What is inside the parentheses is the difference of squares
a^2 - b^2 = (a+b)(a-b)
2 ( 2x+3) (2x-3)
Answer:
B. 2( 2 x + 2 ) ( 2x - 3 )
Step-by-step explanation:
8 x² - 18
2 ( 4 x ² - 9 )
2 ( ( 2x ) ² - ( 3 )²)
2 ( 2 x + 3 ) ( 2x - 3 )
Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. (E.g., the first ball is equally likely to be put into any of the 3 buckets, and then regardless of which bucket the first ball is placed in, the second ball is equally likely to be put into any of the 3 buckets.) What is the probability that all of the balls will be put into the same bucket
Answer:
[tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...
[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]
Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]
0.3x2 + 5x - 7 = 0 is not in general form.
True
False
False because it's not true that's not the anwser
PLEASE HELP ITS DUE TODAY THANKS!
Answer:
105.12
Step-by-step explanation:
Find the area of the rectangle (8 x 10 = 80)
Find the area of the whole circle (3.14 x 4^2 = 50.24)
Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)
Add the area of the two (25.12 + 80 = 105.12)
2. You are standing 15 feet from a tree. You want to get an apple from the tree using a ladder that is 25 feet long. What is the height of the tree? What is the angle of elevation?
Answer:
h = 20 ft
theta =53.13010235
Step-by-step explanation:
First we can find the height by the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs
15^2 + h^2 = 25^2
225 + h^2 = 625
h^2 = 625 - 225
h^2 = 400
Taking the square root of each side
h = 20 ft
Now using trig functions
cos theta = adj side / hyp
cos theta = 15/25
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 ( 15/25)
theta =53.13010235
3y+x=5, x-3y=12, y=3x-2, 6y-2x=7 which two of these are parallel??
Answer:
2nd and 4th are parallel
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y + x = 5 ( subtract x from both sides )
3y = - x + 5 ( divide terms by 3 )
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
-------------------------------------------------------
x - 3y = 12 ( subtract x from both sides )
- 3y = - x + 12 ( divide terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
-------------------------------------------------------
y = 3x - 2 ← in slope- intercept form
with slope m = 3
---------------------------------------------------------
6y - 2x = 7 ( add 2x to both sides )
6y = 2x + 7 ( divide terms by 6 )
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
--------------------------------------------------------
Parallel lines have equal slopes.
The 2nd and 4th have equal slopes and are parallel
Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.
Answer:
A, or "The height does not lie on the base because it's perpendicular to the base."
Step-by-step explanation:
EDGE 2021
Option A is correct, the height does not lie on the base because it is perpendicular to the base.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.
We have to find the Jalen’s error.
As we know that height does not lies on the base because it is perpendicular to the base.
The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.
Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.
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Which decimal does NOT represent the amount shaded in the grid? M
Answer:
B.
Step-by-step explanation:
B. 0.078 is your answer
Can someone help me with this ASAP please I’m being timed
Answer:
I think it is 4
Step-by-step explanation:
as the Y intercept is -3 so only that one crosses -3 on Y axis.
What is the value of x?
Answer:
x = [tex]29^{o}[/tex]
Step-by-step explanation:
Looking at the right triangle we see two congruent sides, which means that we can find the angles:
180 - 64 = 116° for both bottom angles of the right triangle, so 58° (116°/2).
Looking at the middle angle we know that left corner from the left triangle is 58° so the angle in the middle would be 180 - 58 = 122°.
Since the right triangle equals to 180° then we can find the missing values including x:
180 - 122 = 58° is the total angle for each corner of the right triangle. So x would be 58/ 2 = 29°.
Therefore x = 29°.
find the number whose product with 2/211 gives 8/11
Answer:
1688/22
Step-by-step explanation:
keep, change, flip
PLEASE HELP ME!!! WILL MARK BRAINLIEST
Answer:
The first one is correct
Step-by-step explanation:
a^2-1 + A+1
Since the -1 and +1 cancel out that leaves us with just a^2+a
Answer:
The answer is d
Step-by-step explanation:
[tex]a^{2} -1 + a + 1\\[/tex]
To add variables you count how many variables there are, and in this case, there are two a's
so it is going to be [tex]2a^{2}[/tex]
and 1 - 1 = 0
The answer would be [tex]2a^{2}[/tex]. Thank you