Answers
The parent function of the quadratic function is x^2. Using this function for refrence, we see that there are some changed.
First, the function was shifted 2 units to the left, so we rewrite this as (x+2)^2, we also see that the function was also shifted 5 units up so we write, ((x+2)^2)+5, and finally, we see the function was flipped vertically, so we make this a negative,
(-(x+2)^2)+5.
Now, let's confirm this is the answer by plugging in the given coordinates!
5 = (-((-2)+2)^2)+5, ((0)^2)+5, 5.
1 = (-((-4)+2)^2)+5, ((-2)^2)+5, -4+5, 1.
Related Questions
express 2.603603603 . . . as a rational number
Answers
Answer:
[tex] \frac{289}{111} [/tex]
Step-by-step explanation:
[tex]2 + \frac{603}{1000 - 1} = 2 \frac{603}{999} = 2 \frac{67}{111} = \frac{289}{111} [/tex]
Which pairs of angles are congruent?
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Answer:
b) angles 1 and 4 are congruent.
Hope it helps!
Please answer I will mark u brainliest or wtv its called
Answers
Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: [tex]a^2 + b^2 = c^2[/tex]
a = legb = legc = hypotenuseWe can plug in the values for each leg to solve for the hypotenuse.
Solve for c[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 8^2 = c^2[/tex][tex]36 + 64 = c^2[/tex][tex]100 = c^2[/tex][tex]\sqrt{100} = \sqrt{c^2}[/tex][tex]10 = c[/tex]The answer is Option B: 10 cm
8^2 + 6^2 = C^2
64 + 36 = C^2
100 = C^2
The square root of 100 is 10. The answer is 10. Hope this helps have a nice day :)
a random number is selected from a random set 2,3,4,10
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The number is even or less than 12. Then the correct option is C.
The complete question is given below.
A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?
a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.
What are sets?A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
A number is selected at random from the set {2, 3, 4, … 10}.
2, 4, 6, 8, 10 are even, but the rest are odd (BUT note the word “or”). The rest are less than 12. YES
Then the correct option is C.
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Given that a is rational and √2 is irrational and a is not equal to 2, show that. √2-1 is irrational
Answers
Answer:
Let us assume that √2 is a rational number.
So it can be expressed in the form p/q where p, q are co-prime integers and q≠0
√2 = p/q
Here p and q are coprime numbers and q ≠ 0
Step-by-step explanation:
√2 = p/q
On squaring both the sides we get,
=>2 = (p/q)2
=> 2q2 = p2……………………………..(1)
p2/2 = q2
So 2 divides p and p is a multiple of 2.
⇒ p = 2m
⇒ p² = 4m² ………………………………..(2)
From equations (1) and (2), we get,
2q² = 4m²
⇒ q² = 2m²
⇒ q² is a multiple of 2
⇒ q is a multiple of 2
Hence, p, q have a common factor 2. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√2 is an irrational number.
how would you solve 4c + 11 = -25? explain how in complete sentences and list the solution. (yall im so lost in class rn, i need this)
Answers
Answer:
c = -9Step-by-step explanation:
4c + 11 = -25
4c = -25 - 11
4c = -36
c = -36 : 4
c = -9
or
4c + 11 + 25 = 0
4c + 36 = 0
c = (-36)/4
c = -9
-------------------
check
4 *(-9) + 11 = -25
-36 + 11 = -25
-25 = -25
the answer is good
Answer:
c= -9
Step-by-step explanation:
1. 4c + 11 = -25
2. Put all like terms together and change the sign. In this case, the +11 will go to the right with the -25 and it will become -11.
Therefore:
4c= -25 -11
4c= -36
3. Make c the subject. Since 4 is being multiplied by c, when it goes to the right, it will divide.
Therefore:
c= -36/4
c= -9
find the probability of obtaining two digit number which is divisible by either of the two consecutive odd numbers whose product is 15
Answers
There are 100 random 2 digits numbers [00 , 99]
There are 34 divisible by 3 {00, 03, 06, 09, … 93, 96, 99}
There are 20 divisible by 5 {00, 05, 10, … 90, 95}
However we must avoid counting numbers twice so we need to subtract those divisible by 15.
There are 7 divisible by 15 {00, 15, 30, 45, 60, 75, 90}
This means there are 34 + 20 - 7 = 47 2-digit numbers that are divisible by 3 or 5.
If you pick a random 2-digit number then P(divisible by 3 or 5) = 47/100 = 0.47
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answers
Answer:
First Graph: -2x - 1 = 3(^-x)
Last Graph: 2^(-x) + 2 = 5^-x + 3
Step-by-step explanation:
For a system of equations to have a solution set, the graphs that depict them must intersect at one point.
Both graphs #1 and #5 do not intersect, hence graphs #1 and #5 are the only graphs that do not have solutions while the other graphs do.
Charlotte is running at a rate of 9 KM/H.
What is Charlotte's speed in M/S?
Answer: 5/2 M/S
Answers
Answer:
Step-by-step explanation:
[tex]9~km/h=\frac{9 \times ~1000}{1 \times 60 \times 60}=\frac{5}{2} m/s}[/tex]
using Factoring:
Set up an algebraic equation:
An integer is 3 less than 5 times another. If the product of the two integers is 36,
then find the integers.
Answers
Answer:
hjjj gogo fgjvsgjgccvvggggggffffffddsddddfffgv
− 11 , − 7 , 7 , − 2 , 16 , 10 , 20 , − 17 , − 10 , − 12 State the median.
Answers
Answer:
-4.5
Step-by-step explanation:
You arrange the numbers from lowest to highest value:
-17, -12, -11, -10, -7, -2, 7, 10, 16, 20
Then you find the one in the middle:
-7, -2
Because there are two in the middle, you add them and divide them by two:
(-7 + -2)/2 = -4.5
Your answer is -4.5.
Step-by-step explanation:
firstly arrange it increasingly
-2,-7,-10,-11,-17, 7,10,16,20
n=9 it is odd so we use (n+1/2 )th formula
9+1/2
10/2=5th
os it is -17
Match each fraction to a reasonable estimate.
(-6/11)
(-7/9)
(-3/13)
(-1/4)
(-3/4)
(-1/2)
Which one goes with each?
Answers
Answer:
-6/11 goes with -1/2
-7/9 goes with -3/4
-3/13 goes with -1/4
Step-by-step explanation:
6/11 is close to 6/12 which is the same as 1/2, so -6/11 goes with -1/2
7/9 is close to 6.75/9 which is 3/4, so -7/9 is close to -3/4
3/13 is close to 3/12 which is the same as 1/4, so -3/13 goes with -1/4
The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?
Answers
The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The short leg of a 90-45-45 triangle is 3 and the long leg is 7.
Since this is a right triangle, we can use the Pythagoras theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]
Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].
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If A=P+I make the subject as P
Answers
Answer:
[tex]P = A - I[/tex]
Step-by-step explanation:
A = P + I (Given)[tex]\implies P = A - I[/tex]a skyscraper casts a shadow 200 feet long. If the angle of elevation of the sun is 38 degrees, then the height of the skyscraper is approximately__.
A. 173.34 feet
B. 156.26 feet
C. 300 feet
D. There is not enough information.
Answers
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.
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Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].
The given coordinates of the given table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).
We need to write a valid prediction about the continuous function f(x).
What is the continuous function?In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.
Now, it is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at x = 1.
So, the value of f(x) remains positive within the interval of [-1,1].
Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].
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the equation 4(x-2)= 1000 is a true equation for a paticular value of x. Explain 2(x-2)=50 is also true for the same value of x
Answers
Answer:
Step-by-step explanation:
Comment
I find the wording a bit confusing. Does the question mean that the laws of algebra determine what single vale of x will make the right side = the left side in both equations?
I think that's the way I will interpret it.
The easiest way to solve both of them is to divide by 4 on both sides of the top equation and divide by 2 on the bottom equation.
Solution
Top equation
4(x - 2) = 1000 Divide by 4
4(x-2 )/ 4 = 1000/4
(x - 2) = 250 Remove the brackets
x - 2 = 250 Add 2 to both sides
x - 2 + 2 = 250 + 2 Combine
x = 252
Bottom equation
2(x - 2) = 50 Divide by 2
2(x - 2)/2 = 50/2
(x - 2) = 25 Remove the brackets
x - 2 = 25 Add 2 to both sides
x - 2 + 2 = 25 + 2 Combine
x = 27
Conclusion
If the equations are structured the same way but have different numbers then the answers will be unique.
I need help on questions d and e, not sure how to solve!
Answers
D.
[tex]m(x) = 0 \\ - 3x = 0 \\ x = 0[/tex]
E.
[tex]m(x) = \frac{ - 3}{25} [/tex]
[tex] \frac{ - 3x}{x {}^{2} + 2x - 24} = \frac{ - 3}{25} [/tex]
[tex] - 3(x {}^{2} + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3[/tex]
[tex]x {}^{2} + 2x - 24 = 25x[/tex]
[tex]x {}^{2} - 23x - 24 = 0[/tex]
[tex](x - 24)(x + 1) = 0 [/tex]
[tex]x = 24 \\ x = - 1[/tex]
Answer:
D
x=0
Step-by-step explanation:
E)
[tex]\frac{-3x}{x^2+2x-24} =\frac{-3}{25} \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1[/tex]
They brought a new plasma TV for $1800 he made a down payment for 500 and then find is the balance to the store unfortunately he was unable to make the first monthly payment and now pay 7% interest per month on the balance what is Vicks monthly interest payment
Answers
Answer:
Vicks monthly interest payment is $91
Step-by-step explanation:
Total: $1800
Down payment: $500 (already paid)
Current balance need to be paid:
$1800 - $500 = $1300
7% of $1300 is, 1300 x 0.07 = $91
if a polyhedron has a volume of 35 cm^3 and is dilated by a factor of 5/2, what will be the volume of the dilated polyhedron? Round your answer to the nearest thousandth if necessary.
Answers
If a polyhedron has a volume of 35 cm cube and is dilated by a factor of 5/2 then the volume of dilated polyhedron will be 50.6 cm cube.
Given Volume of polyhedron=35 cm cube . Factor from which is dilated 5/2.
If the polyhedron is dilated by factor 5/2 then the volume of the polyhedron will change by the cube of that factor because when it is dilated by factor its material also increases.
Volume =35[tex]cm^{3}[/tex]
After dilation
Volume=35+[tex](5/2)^{3}[/tex]
=35+15.625
=50.625
After Rounding nearest to thousand we will get 50.6 [tex]cm^{3}[/tex].
Hence after dilation the volume which is 35 cm cube will change from 35 to 50.6[tex]cm^{3}[/tex].
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Suppose a bag contains a set of 10 tiled letters: M, T, O, A, T, P, J, A, K, A You draw a tile from the bag, and record the letter and leave it on the table. You shake up the bag, and draw another tile out of the bag. Calculate the probability you will select the letter M on the first draw and the Letter T on the second draw?
Answers
Answer:
1/90
Step-by-step explanation:
Comment
To begin with, there are 10 tiles.. You draw one and don't replace it. Then you draw another tile from the 9 that remain. The job is to figure out the probability of that happening.
You have a 1/10 chance of drawing the M.
But now there are only 9 tiles left and you have a 1 in 9 chance of drawing a T
Solution
P(M,T) = 1/10 * 1/9 = 1 / 90
You have a 1 in 90 chance of getting the two tiles in the order you have specified.
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period.
Answers
The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
What is the slope?
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
The slope:
[tex]\rm m =\dfrac{16717-12078}{2017-2009}[/tex]
m = 4639/8
m = 579.875
Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
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You are betting on a game with an expected value of -$0.33. What does this mean?
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Need help with Graphs. please help!!
Answers
The ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5
Median weekly earningsThe median weekly earnings on the graphs are
High school diploma = $750Bachelor's degree = $1250Represent as a ratio
Ratio = $750 : $1250
Divide by 250
Ratio = 3 : 5
Hence, the ratio of the median weekly earnings is 3 : 5
The ratio of the area in graph AIn (a), we have:
Ratio = 3 : 5
The horizontal scale is given as:
Ratio = 1 unit : 1 grid mark
The rectangles in graph A have a width of 1 unit.
So, we have:
Ratio = 3 * 1: 5 * 1
Ratio = 3 : 5
Hence, the ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5
The ratio of the area in graph BRecall that:
Ratio = 3 : 5
Ratio = 1 unit : 1 grid mark
From the graph, we have the following widths:
Red = 3 units
Blue = 5 units
So, we have:
Ratio = 3 * 3 : 5 * 5
Simplify
Ratio = 9 : 25
Hence, the ratio of the area of the red rectangle to the blue rectangle in graph B is 9 : 25
The ratio of the volume in graph CRecall that:
Ratio = 3 : 5
Ratio = 1 unit : 1 grid mark
From the graph, we have the following widths:
Red = 3 units
Blue = 5 units
Since the base are squares, we have:
Ratio = 3 * 3 * 3 : 5 * 5 * 5
Simplify
Ratio = 27 : 125
Hence, the ratio of the volume of the red cube to the blue cube in graph C is 27 : 125
The most misleading graphThe most misleading graph is graph B.
This is so because the blue rectangle and the red rectangle do not have the same width when plotted on the same scale
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Using approximations to 1 significant figure, estimate the value of:
[tex]\frac{0.482 * 61.2x^{2} }{\sqrt{98.01}}[/tex]
* = times by :D
Will pick Brainliest if right!
Answers
Answer:
3x²
Step-by-step explanation:
0.482 to 1sf is 0.5
61.2x² to one sf is 60x²
√98.01 to 1sf is √100
√100 = 10
0.5 x 60x² = 30x²
30x² / 10 = 3x²
If the present value of a growing perpetuity is 214, the required rate of return is 10%, and growth rate is 3%, what is the cash flow in year 1? (Round to the nearest whole number).
Answers
The cash flow in year 1 is $15.
What is the cash flow in year 1?A growing perpetuity increases continuously and indefinitely.
Cash flow = present value x (rate of return - growth rate)
214 x (10% - 3%)
214 x 0.07 = $15
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Which statements about the system are true? Select two options.
y=-x-4
3y-x = -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Answers
The slope for both the line is m= 1/3 and they are parallel lines , Option B and C are correct two options
The first equation is
y = (1/3)x-4 and not y = -x-4
(if the equation is not corrected then it will not have two true statements)
What is a System of Equation ?A system of equation is a set of equation which have a common solution
The given system of equation is
y = (1/3)x-4
3y -x = -7
3y = x-7
As it can seen from the standard equation of a line that
y =mx+c
so slope for both the line is m= 1/3
Therefore they are parallel lines
Thus , Option B and C are correct two options
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A jackrabbit can run at the speed of 1.35 kilometers per minute . How fast can the jackrabbit run in miles per hour ? First fill in the two blanks on the left side of the equation using two of the ratios . Then write your answer rounded to the nearest hundredth on the right side of the equation
Answers
The speed of the rabbit in miles per hour is 50.33 mi/h.
How fast can the jackrabbit run in miles per hour?We know that the speed of the jackrabbit is:
1.35 km/min.
Now we need to use the relations:
1 hour = 60 minutes.
So, in one hour, the rabit runs 60 times the distance that it runs in one minute, then:
1.35 km/min = 60*(1.35 km/h) = 81km/h
Now we need to change kilometers for miles.
1km = 0.6214 mi
Then we can rewrite:
81km/h = 81*0.6214mi/h = 50.33 mi/h
The speed of the rabbit in miles per hour is 50.33 mi/h.
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Suppose you are designing a cardboard box that must have a volume of 27 cubic feet. The cost of the cardboard is $0.21 per square foot.
The material in each box will cost $____
Answers
If 6x = 54, then x = ___. (Only input whole number)
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6x = 54}\\\\\large\textbf{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\dfrac{6x}{6} = \dfrac{54}{6}}\\\\\textbf{SIMPLIFY IT!}\\\\\mathsf{x = 9}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]