What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x 1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x 1)2 – 5
The vertex form of all expressions is given below.
We have given that the expressions
We have to write the function in vertex form.
What is the vertex form of the equation?
The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Therefore the first equation
[tex]f(x)=(x-1)^2-7[/tex]
it can be written as
[tex]f(x)=1(x-1)^2+(-7)[/tex]
The second equation can be written as
[tex]f(x) = (x+1)^2 -7[/tex]
vertex for is,
[tex]f(x)=1(x-(-1))^2+(-7)[/tex]
The third equation is,
[tex]f(x) = (x -1)^2 - 5[/tex]
Vertex form is,
[tex]f(x)=1(x-1)^2+(-5)[/tex]
Forth equation is,
[tex]f(x) = (x +1)^2 +(- 5)[/tex]
Vertex form is,
[tex]f(x) =1 (x -(-1))^2 +(- 5)[/tex]
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What is the contrapositive of the statement below?
x⇒y
Answer:
Answer: A. The contrapositive of the statement will be :
Step-by-step explanation:
The contrapositive of an if-then statement "p then q' is given by :
"If not q then not p".
The given statement is
Then the contrapositive of the statement will be :
Hence, A is the right option.
i donnt know ..............
Answer:
7
Step-by-step explanation:
[tex]\dfrac 13(15+6)\\\\\\=\dfrac{21}3\\\\\\=7[/tex]
4(9^0+48(2)^-3)
Please explain how
Answer:
4(9^0+48(2)^-3) I think it's like this
Find the value of x.
please help
Check the picture below.
Kellie thinks of a number, then doubles the number, and then multiplies the result by 3. If her final number is 65 more than her original number, then what was her original number I will give 70 points pls
Kellie's original number given the analogy and corresponding equation is 13
How to write and solve equation?let
the unknown number = x(x × 2) × 3 = x + 65
2x × 3 = 65 + x
6x = 65 + x
6x - x = 65
5x = 65
divide both sides by 5x = 65/5
x = 13
check:
6x = 65 + x
6(13) = 65 + 13
78 = 78
Therefore, the unknown number, x is 13
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Solve the equation for x
z=m+x-y a)x=-z+m+y b)x=z-m+y c)x=z+m-y d)x=z+y+m
Answer:
x = z - m + y
Step-by-step explanation:
Given:
[tex]\displaystyle \large{z = m+x-y}[/tex]
To solve for x-term, we have to isolate it. We can do by subtracting m-term both sides and add y-term both sides.
[tex]\displaystyle \large{z-m+y=m+x-y-m+y}\\\\\displaystyle \large{z-m+y=x}\\\\\displaystyle \large{x=z-m+y}[/tex]
Therefore, the answer to this question is x = z - m + y
Please let me know if you have any questions regarding my answer or explanation!
Is the solution to the quadratic equation written below rational or irrational? Justify your answer.
0 = 2x² + 3x - 10
Answer:
irrational
Step-by-step explanation:
It cant be square rooted perfectly.
The theoretical probability of selecting a consonant at random from a list of
letters in the alphabet is 21. Wayne opens a book, randomly selects a letter on
the page, and records thé fetter. He repeats the experiment 200 times. He Fins
(consonant) = 60%. How does the theoretical probability differ from the
experimental probability? What are some possible sources for this discrepancy?
Vowels = {a, e, i, o, u}
There are 5 vowels out of 26 letters in the English alphabet. This leaves 26-5 = 21 consonants.
The theoretical probability of getting a consonant is 21/26 = 0.8077 = 80.77% approximately
Wayne found the empirical probability of a consonant as 60% which is quite a distance away from the 80.77% mentioned. The discrepancy is likely because vowels are tended to be used quite often in many words.
Words that are composed of consonants only are quite rare, but they do happen. Example: "fly" is a word with only consonants. I'm considering y to be a consonant.
What are the coordinates of the image of vertex G after
a reflection across the line y = x?
O (-4,-5)
O (4, 5)
O (-5,4)
O (5, 4)
Answer:
(- 5, 4 )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
G (4, - 5 ) → G' (- 5, 4 )
The coordinates of the image of vertex G are (-5, 4)
What is line of reflection?When reflecting a figure in a line or in a point, the image is congruent to the pre image. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
here, we have,
Let us revise some cases of reflection
If the point (x, y) reflected across the x-axis , then its image is (x, -y)
If the point (x, y) reflected across the y-axis , then its image is (-x, y)
If the point (x, y) reflected across the line y = x , then its image is (y, x)
If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)
From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)
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1. Simplify .........
Answer:
Pretty sure it would be sin(0) cos (0) - sin^2(0)
Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly
Answer:
its A im really smart and because im smart
Can someone please help me figure out these 10th grade geometry arc problems? ANY help appreciated, but please explain how you got your answer! Will reward brainly and 5 stars + thanks!
Answer:
Step-by-step explanation:
Which of the following is the solution of 5x - 6 = 44?
O x= -10
38
Ox=
x = -5
O x=
Ox-10
Work Shown:
5x-6 = 44
5x-6+6 = 44+6 ... see note 1
5x = 50
5x/5 = 50/5 ... see note 2
x = 10
note1: We add 6 to both sides to undo the -6note2: Divide both sides by 5 to undo the multiplication. Think of 5x as 5*x or "5 times x".1) the length of a rectangle is equal to triple the width. if the perimeter of the rectangle is 86 centimeters, what
are its dimensions?
Step-by-step explanation:
the perimeter is
2×length + 2×width = 86
length = 3×width
now we use the second equation as variable identity in the first equation :
2×3×width + 2×width = 86
6×width + 2×width = 86
8×width = 86
width = 86/8 = 43/4 = 10.75 cm
length = 3×width = 3×10.75 = 32.25 cm
PLEASE HELP ASAP
i couldn’t get it to write correctly so I inserted photo
Ernest’s favorite lunch is a turkey, lettuce, and tomato sandwich Ernest can make the sandwich using either white bread or wheat bread Sometimes he adds cheese, pickles, or mayonnaise in any combination, but other times he doesn’t add anything Ernest says that there are 8 different ways to make his favorite sandwich Is he correct? Explain
Answer:
Ernest is wrong, because the sandwich can be made in 6 different ways (lunch > sandwich: white bread > cheese, pickles, mayonnaise ; wheat bread > cheese, pickles, mayonnaise) and the lunch can be made in 8 different ways.
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes
Answer:
A.
Step-by-step explanation:
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes
5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
Answer:
$3.65
Step-by-step explanation:
The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.
__
setupLet x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...
5x +3y = 23.50
5x +y = 20.00
solutionRearranging the second equation, we have an expression for y:
y = 20.00 -5x . . . . . . subtract 5x from both sides
Substituting this into the first equation gives ...
5x +3(20.00 -5x) = 23.50 . . . . . substitute for y
-10x +60.00 = 23.50 . . . . . . simplify
x -6.00 = -2.35 . . . . . . . . divide by -10
x = 3.65 . . . . . . . . . . . add 6
One hockey puck costs $3.65.
According to a study, 45% of americans have type o blood. if a random number generator produces three-digit values from 000 to 999, which values would represent those having type o blood
The values that represent those having type O blood are the values from 000 to 449.
How to determine what range of the RNG should we use?
RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.
Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).
0.45*1000 = 450
Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}
So the values that represent those having type O blood are the values from 000 to 449.
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Which equation is equivalent to 19x+12y=17?
y=−19/12x+17/12y
y=−19x+17
y=−17/12x+19/12
y=19/12x+17/12
19x+12y=17
step 1: move the thing that you're looking for to the left side and all the rest to the right side:
(19x +12y)-19x = 17 -19x
12y = 17 -19x
step 2: to find y, you need to get rid of 12. to do so you need to devide everything by that number:
(12y)/12 = 17/12 -19/12 x
y= 17/12 -19/12 x
step 3: simplify of possible. ( in this exercise it isnt)
step 4: rearange the equation if necessary
y= 17/12 + -19/12x
y= -19/12x + 17/12
PLEASE HELP
good answer gets brainliest
Answer:
50
Step-by-step explanation:
90+40= 130
There are 180 degrees in a triangle.
180- 130 = 50
make r the subject and find the value
[tex]~~~~~~~~\dfrac{1}{R} = \dfrac{1}{R_1} + \dfrac 1{R_2}\\\\\\\implies \dfrac 1{R_2} = \dfrac{1}{R } - \dfrac 1{R_1}\\\\\\\implies \dfrac 1{R_2} = \dfrac{R_1 -R}{RR_1}\\\\\\\implies R_2 = \dfrac{RR_1}{R_1-R}\\\\\\\text{When}~ R= 24~ \Omega ~ \text{and}~ R_1 = 30~ \Omega,\\\\R_2 = \dfrac{24 \times 30}{30-24}~\Omega\\\\\\~~~~~=\dfrac{720}{6}~ \Omega\\\\\\~~~~= 120~ \Omega[/tex]
20. Solve 3(5x − 4) < 15x.
All Real Numbers
x>-4
x<4
no solution
Answer:
No solution
Step-by-step explanation:
[tex]3(5x - 4) < 15x \\ 15x - 12 < 15x \\ 15x - 15x < 12 \\ 0 < 12[/tex]
The Ratio of two numbers is 3/5, and their sum is 104. What are the 2 numbers?
Answer:
39 and 65
Step-by-step explanation:
the ratio of the two numbers is 3 : 5
sum the parts of the ratio, 3 + 5 = 8 parts
divide the sum by 8 to find the value of one part of the ratio
104 ÷ 8 = 13 ← value of 1 part of the ratio , then
3 parts = 3 × 13 = 39
5 parts = 5 × 13 = 65
the two numbers are 39 and 65
A six-sided die is rolled seven times. What is the probability that the die will show an even number at least six times?
Answer:
Step-by-step explanation:
Explanation
On a 6 sided die, there are three even numbers (2,4,6)
That's 1/2 the number on the die.
So getting 6 even numbers is
P(6) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 0.00781
Where did that extra 1/2 come from? Well one of the numbers thrown was an odd number, and it has to be counted.
P(7) = the same answer. 0.00781
Total 0.0156
Can someone else explain how to do problems like this?
The answer is A , for determining range look at Y-axis only from down to up .For this question we can also say
range: [1,7] , if both ends of the line are arrows it means the line goes from negative infinity to positive infinity (which means range is all real numbers) , but if the point is include just like this graph the points will be also include in range , but if the points are an empty circle the points won't be include for writing range
hope it helps
please give brainliest
STATISTICS in a recent year the mean score on the mathematics section of the SAT test was 515 and the standard deviation was 114. This means that people within one deviation of the mean have SAT math scores that are no more than 114 points higher or 114 points lower than the mean A. write an absolute value inequality to find the range of SAT mathematics test scores within one standard deviation of the mean B. what is the range of SAT mathematics test scores 12 standard deviation from the mean?
An absolute value inequality to find the range of SAT mathematics test scores within one standard deviation of the mean is; |x – 515| ≤ 114
How to Write Inequalities?
A) We are told that;
Mean score = 515
Standard deviation = 114
We are now given that people within one deviation of the mean have SAT math scores that are no more than 114 points higher or 114 points lower than the mean. Thus, the absolute value inequality is;
|x – 515| ≤ 114
B) The range of scores to within ±2 standard deviations of the mean is;
Range = 515 ± 2(114)
Range = 287 to 743
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answer?...............
Step-by-step explanation:
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A car with an initial value of $25,000is decreasing at a rate of 4% each other.at this rate,what Willy eh value be of the car after 5years?
Answer:
$ 20384.32
Step-by-step explanation:
Decreasing by 4 % each year means it retains 96 %
25 000 ( .96)^5 = 20384.32