The transformation is shifted up 2 units.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=-2x+3.
Here, the slope m of a line is -2 and y-intercept is 3
A) If the function g(x)=f(x)+k, where k=2.
Now, g(x)=-2x+3+2
g(x)=-2x+5
Here, the slope m of a line is -2 and y-intercept is 5
B) The slope of both functions are same
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted up 2 units
Therefore, the transformation is shifted up 2 units.
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The probability of winning a coupon at the grocery store checkout is 2/25. What is the probability of not winning?
The probability of not winning the coupon at the grocery store given the probability of winning the coupon is 23/25.
What is the probability?Probability determines the likelihood of the occurence of an event. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of not winning the coupon = 1 - probability of winning
1 - 2/25 = 23/25.
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What is the rule for quadrant 4?
All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.
A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.
All Quadrant I points have two positive coordinates.
Quadrant II points all have a negative x-coordinate and a positive y-coordinate.
All Quadrant III locations have two negative coordinates.
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A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability that more than 5 of them are successful?
Answer:
P (x>5) = 0.5324014=0.523
Step-by-step explanation:
Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3
Number of surgeries= n= 8
Applying the binomial distribution
( p+q) ^n= nC x p^x . q^n-x
More than 5 means 6,7, and 8
( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3
=56* 0.16807*0.027
= 0.254121
( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2
= 28* 0.1177* 0.09
= 0.296604
( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1
= 8* 0.0824* 0.3
= 0.19776
( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0
= 1* 0.05765* 1
=0.05765
Adding the above all probabilities gives
P (x>5) = P (x=6) + P(x=7) + P(x=8)
= 0.296604+0.19776+0.05765
= 0.5324014
Is (3,6) a solution to this system of equations?
y=2x+1
y=4x+6
Step-by-step explanation:
y = 2x + 1 -------- (I)
y = 4x + 6 --------(ii)
from eqn (I)
y = 2x + 1
sub y = 2x + 1 in eqn (ii)
2x + 1 = 4x + 6
2x - 4x = 6 - 1
-2x = 5
x = -5/2
sub x = -5/2 in eqn (I)
y = 2(-5/2) + 1
y = -5 + 1
y = -4
Therefore, (x, y) = (-5/2, -4)
3 2. A square pyramid has volume 147cm . The height of the pyramid is 9 cm. a.) What is the length of each side of the square base? b.) What is the slant height? c.) What is the surface area? PLEASE REAL ANSWERES I HAVE POSTED 5 TIMES AND NOONE WILL ANSWERE!!!
Solve the inequality. Graph the solution. -3y<-14
Answer:
y > 14/3
Step-by-step explanation:
-3y<-14
Divided both sides by -3. Because divided by a negative number, the < will switch to the >
y > 14/3
ANSWER SOON PLS Which of these sets of ordered pairs would define a line with a negative slope? A. (2, 3) and (7, 6) B. (2, 3) and (-4, -1) C. (5, 5) and (0, 1) D. (3, 6) and (5, 1)
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
A pair of fair dice will be rolled. Let the random variable X = the sum of the numbers shown on their faces. The probability distribution of X is given in the table.
A 2-column table with 11 rows. Column 1 is labeled sum with entries 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Column 2 is labeled probability with entries 0.028, 0.056, 0.083, 0.111, 0.139, 0.167, 0.139, 0.111, 0.083, 0.056, 0.028.
What is the probability that the dice show a sum of at least 6?
P(X ≥
) =
Answer: 12 and 0.972
Step-by-step explanation: am doing it
Solve the following system of equations.
5x - 4y= -16
2x+9y=-17
Answer:
Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.
if you can please give me brainliest.
The function f is given by f(x)= (x-2) (x+4) . Without using graphing technology, answer the following questions.
1. What are the x-intercepts of the graph representing f?
2. What are the x- and y-coordinates of the vertex of the graph?
3. What is the y-intercept?
Answer:
Step-by-step explanation:
1. What are the x-intercepts of the graph representing f? They are the points on the horizontal axis where the graph touches or crosses the axis. Note that on this axis, y = 0.
2. What are the x- and y-coordinates of the vertex of the graph? Since the function is written as the product of two binomials, we can take these coordinates directly from the binomials: (x - 2) yields x = 2 and (x + 4) yields x = -4.
3. What is the y-intercept? Multiply out these binomials. We get:
f(x) = x^2 + 2 - 8. When x = 0, y = -8. The y-intercept is (0, -8).
1) The x-intercepts of the graph representing f are; 2 and 4
2) The x- and y-coordinates of the vertex of the graph are; (1, -5)
3) The y-intercept is at; (0, -8)
We are given the function; f(x) = (x - 2)(x + 4)
1) The x-intercepts of a graph are the points where the graph crosses the x-axis. The x-intercepts are the value of x when f(x) = 0. Thus, the x-intercepts here are 2 and 4.
2) The vertex is the lowest point of the graph in this case as the parabola opens upwards.
Let us expand the function to get;
f(x) = x² - 2x + 4x - 8
f(x) = x² + 2x - 8
where; a = 1, b = 2, c = -8
Formula for the x-coordinate of the vertex is;
x = -b/2a
x = -2/2(1)
x = 1
Thus;
y = (1 - 2)(1 + 4)
y = -5
x- and y-coordinates of the vertex of the graph are; (1, -5)
3) The y-intercept is the point at which x = 0. Thus;
y = 0² + 2(0) - 8
y = -8
The y-intercept is (0, -8).
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A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue can is 0.
The p-value for this hypothesis test is 0.4676. Select the correct decision below.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. Reject the alternative hypothesis.
d. Accept the null hypothesis.
Answer:
Option B
Step-by-step explanation:
The p value is greater than 0.05.
Hence there are not enough evidences to reject the null hypothesis.
Basically no effect is observed when p>0.05
Hence, the test results are statistically significant
Option B is correct
There are 5,280 feet in a mile. Round answers
nany miles does a car traveling at 65 mi/h.
b. How many feet does a car traveling at 65 mil
c How many feet does a car traveling at 65 mi/h
d. How many feet does a car traveling at 65 mi/h o
3. There are 5,280 feet in a mile. Round answers t o
nswers to the nearestur
5 mi/h go in one hour
+ 65 mi/h go in one hour]
65 mi/h go in one minute
+ 65 mi/h go in one second?
343200 fts distance travelled in an hour
5720 ft was travelled in 1 minute and,
95.33 ft distance was travelled in 1 second.
What is miles and foot ?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles.
The British imperial and American customary systems of measurement both use the foot as a unit of length, denoted by the standard symbol: ft. An other sign that is frequently used is the prime symbol, ′. One foot is precisely equal to 0.3048 meters as of the International Yard and Pound Agreement of 1959.
5,280 feet per mile, sometimes known as a statute mile, is a unit of measurement (1.609 km). It derives from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.
65 miles per hour
so 65 * 5280 = 343200 ft travelled in 1 hr
in one minute distance travelled = 343200/60 = 5720 fts
and in one second distance travelled = 5720/60 = 95.33 fts.
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e:f =2:5 f:g=3:4 work out e:g in simpliest form
After a work out, the simplest form of e:g is 3:10.
What is a ratio?Ratio is an expression which shows the relationship between two numbers or variables. It can generally be expressed in two forms, viz; a:b or a/ b.
To work out the simplest form of e:g as required in the question,
e/ f = 2/ 5
2f = 5e ........... 1
f/g = 3/ 4
3g = 4f ........... 2
From equation 1,
f = 5e/2
substitute the value of f in equation 2
3g = 4(5e/2)
3g = 10e
Therefore, e:g is given as;
3/ 10 = e/ g
3:10 = e: g
Thus in its simplest form, e:g = 3:10
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Need this for a homework assignment, have been stuck for an hour and a half.
How do you write an expression in vertex form?
Therefore a quadratic function can be written in vertex form as
y = a(x - h)^2 + k.
Define quadratic function.In mathematics, a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
A quadratic function can be written in vertex form as y = a(x - h)^2 + k
Where (h, k) is the vertex, and a is the leading coefficient.
y = ax^2 + bx + c (standard form)
y = a(x + b/2a)^2 + c - b^2/4a
y = a(x - h)^2 + k where h = -b/2a and k = c - b^2/4a
For example,when y = 3x^2 - 6x - 5
y = 3x^2 - 6x - 5
y = 3(x^2 - 2x) - 5
y = 3(x^2 - 2x + 1 - 1) - 5 = 3(x - 1)^2 - 8
So, the equation is in vertex form y = 3(x - 1)^2 - 8
Note that this only works for parabolas that opens upwards or downwards, if the parabola opens to the sides, the vertex form is y = a(x-h)^2 +k
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Does (9, 0) make the equation y = 8x + 9 true?
nope. bc...
0 ≠ 72 + 9.
yw!
Answer:
no.
Step-by-step explanation:
y (0) = 8(9) + 9
0 = 72 + 9
0 = 81
0 does not equal 81
What is the inverse of 9 by 7?
-9/7 is the inverse of 9/7.
-9/-7 = 9/7
9/7 + (-9/7) = 0
-9/7 is consequently the additive opposite of -9/-7.
By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The value that, when added to the original number, results in zero is known as a number's additive inverse. It is what we add to a number to make it equal to zero. Considering that an is the starting number, its additive inverse will be a minus one, or -a, such that;
a+(-a) = a – a = 0
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25 less than the sum of a number and 5 results in 15 what is the number
The number is 35.
What is an equation?
An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.
For example 2x+3=5y-7z, and x+y=5 are examples of equations.
In solving your problem,
25 less than the sum of a number and 5 results in 15, can be written as an equation like this:
let x be the number we want to find.
x + 5 =15+25 (25 less than the sum of x+5)
x + 5 = 40
then
x=40-5
x=35
So the number is 35.
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Which undefined term can contain parallel lines?
line
plane
point
ray
find the slope. please help
How do you add a function in FG?
To add a function in FG, open the functions. php file in your theme folder, add the code for the function at the bottom of the file, save the file, and add the code for the function in the template files where you want it to appear.
To add a function in FG, you first need to open the functions. php file in your theme folder. This is where all the functions for your theme will be stored. Once you have the file open, you can add the code for the function that you want to create. This code should go at the bottom of the file. After you have added the code, save the file. Now, you need to add the code for the function in the template files where you want it to appear. To do this, add the following code: <?php your_function_name(); ?>. This code will call the function that you created in the functions.php file. Once you have added this code, save the file and the function should now appear in your theme.
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Y = -17.5x + 2.7x + 14.1 - 11.9x
Answer:
y=-26.7x+14.1
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
y=−26.7x+14.1
Step-by-step explanation:
y=−17.5x+2.7x+14.1−11.9x
y=−26.7x+14.1
Solve for x:
Step 1: Flip the equation.
−26.7x+14.1=y
Step 2: Add -14.1 to both sides.
−26.7x+14.1+−14.1=y+−14.1
−26.7x=y−14.1
Step 3: Divide both sides by -26.7.
x=−0.037453y+0.52809
Solve for y:
y=−26.7x+14.1
A designer is planning a trail mix box that is shaped like a rectangular prism. The front of the box must have the width and height shown. Volume of the box must be 162 cubic inches. What must be the depth, d, of the box?
Answer:
The box must be 2.4 in deep.
Step-by-step explanation:
Front dimensions are 9 in by 7.5 in. Find the area of the front: it is
A = (9 in)(7.5 in) = 67.5 in^2. One way to complete this work would be to divide the given volume by this area, 67.5 in^2.
A slightly different approach follows:
The volume must be 162 in^2. Given V = (width)(height)(depth),
V
(depth) must be -----------------------
(width)(height)
In this particular case,
162 in^3
(depth) must be ----------------------- = 2.4 in
(7.5 in)(9 in)
The box must be 2.4 in deep.
What does * mean after a word?
that usually means that word has a definition that will be given at the bottom of the page or in the glossary depending on what type of book or excerpt of text you have.
hope this helps!
Write an explicit formula for the sequence 1,4,7,10... Then find a14.
Answer:
The formula is [tex]a_n = 3n-2[/tex]
The 14th term is 40, in other words, [tex]a_{14} = 40[/tex]
========================================================
Explanation:
The given sequence is 1, 4, 7, 10, ...
Subtract each adjacent term:
4-1 = 37-4 = 310-7 = 3This shows that each term is increasing by 3. This is the common difference, so d = 3.
The first term is [tex]a_1 = 1[/tex]
The nth term of the arithmetic sequence is...
[tex]a_n = a_1 + d(n-1)\\\\a_n = 1 + 3(n-1)\\\\a_n = 1 + 3n-3\\\\a_n = 3n-2\\\\[/tex]
As a check, let's plug in say n = 3 to find that:
[tex]a_n = 3n-2\\\\a_3 = 3(3)-2\\\\a_3 = 9-2\\\\a_3 = 7\\\\[/tex]
The third term is 7, which matches with the sequence given to us. I'll let you confirm the other values.
-----------
We'll repeat this idea but now for n = 14 to find the 14th term of the sequence.
[tex]a_n = 3n-2\\\\a_{14} = 3(14)-2\\\\a_{14} = 42-2\\\\a_{14} = 40\\\\[/tex]
The 14th term is 40.
You can make a table of values to help confirm the answer. In the first column you'll have the values of n (1,2,3,...) all the way up to 14. The second column will consist of the sequence 1, 4, 7, 10, ... each time going up by 3 until you reach the 14th term of 40.
In its prime, Mr. Ford's 2002 Focus would get 36 miles/gallon. Mr. Ford starts a road trip to San Bernardino, Barstow, Kingman, Winona, and Flagstaff, AZ. He starts with 13.2 gallons of gas in his gas tank. a) Write a slope-intercept equation that models how much gas remains in his tank after each mile of of travel(hint: g/mi)
Given :
Mr. Ford's 2002 Focus would get 36 miles/gallon.
He starts with 13.2 gallons of gas in his gas tank.
To Find :
Write a slope-intercept equation that models how much gas remains in his tank after each mile of of travel(hint: g/mi).
Solution :
Let, required equation is :
y = mx + c
Here, y is gas remains in gallons.
Here, m is slope i.e. miles travelled per gallon.
So, m = -36 ( since gas is decreasing )
Initially distance travelled is 0 i.e. putting x = 0
y = c = 13.2
Therefore, y = -36x + 13.2 this is the required equation.
An ambulance travels 120 miles in 1 1/2 hours. plz answer this!!!!
Answer:
80 mph
Step-by-step explanation:
Which graph represents the function?
f(x)=3√x + 2
expressions equivalent to -2(x-5)
Answer:
-2x + 10
Step-by-step explanation:
Apply the distributive law: a(b - c) = ab - ac
-2(x - 5 ) = -2x - ( -2) x 5
= - 2x - ( - 2 ) x 5
- ( -2 ) x 5 = 10
= -2x + 10
What is 26633646376+63761876784
Answer:63,761,876,784
Step-by-step explanation: