1. MONDAY (5/18): Which of the following functions matches the graph to the right
a) f(x) = -⅙(x+3)²+6
b) f(x)=-⅙(x-3)²+6
c) f(x) = -6 (x+3)² +6
d) f(x) = -6 (x-3)² + 6
Answers
Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...
[tex]4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6[/tex]
a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
Related Questions
Solve for 2.
Write the smaller solution first, and the larger solution second.
(3x – 6)(-x + 3) = 0
smaller x =
larger x =
Answers
Answer:
(3x – 6)(-x + 3) = 0
=> 3x - 6 = 0 => x = 6/3 = 2
and
=> -x + 3 = 0 => x = 3
Hope this helps!
:)
The function f(x) = (x - 4)(x-2) is shown.
What is the range of the function?
1:01
all real numbers less than or equal to 3
all real numbers less than or equal to - 1
all real numbers greater than or equal to 3
all real numbers greater than or equal to -1
6+
4
2
10.-
-6
-4
8
10
X
-2
-2
-4
-6
-10
Save and Exit
Next
Submit
Mark this and return
Answers
Answer:
the range for f(x) = (x-4) (x-2) is [-1,∞)
Step-by-step explanation:
all real numbers greater than or equal to -1
The range of the function is all real numbers greater than or equal to -1
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = ( x - 4 ) ( x - 2 ) be equation (1)
On simplifying , we get
f ( x ) = x ( x - 2 ) - 4 ( x - 2 )
f ( x ) = x² - 2x - 4x + 8
f ( x ) = x² - 6x + 8
Now , the range of the function is set of possible y values
The vertex of the parabola is at ( 3 , -1 )
So , the range of the function is f ( x ) ≥ -1 and the interval is [ -1 , ∝ ]
Hence , the range of the function is f ( x ) ≥ -1
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HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8
Answers
Answer:
(B)[tex]\dfrac{1}{m^8}[/tex]
StartFraction 1 Over m Superscript 8 EndFraction
Step-by-step explanation:
We want to find the simplified form of: [tex]m^{-8}p^0[/tex]
[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]
The correct option is B.
Answer:
I am 80% sure its 1 if not then its 1/p
Step-by-step explanation:
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.
Answers
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
The height of a rectangular prism is 8.3 cm.
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have,
Surface Area = 288 square cm
Base length = 4 cm and width = 9 cm
So, SA of rectangular prism
288 = 2(lw+ wh + lh)
144 = (36 + 9h + 4h)
13h = 144- 36
13h = 108
h = 8.30 cm
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Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
Answers
Answer:
Plus all the fractions together .
Which equals to 35/4 cm
Step-by-step explanation:
hope it helps you !!
The perimeter of the quadrilateral is P = 8 3/4 cm
Given data:
The perimeter of a quadrilateral is the sum of the lengths of all its sides. A quadrilateral is a polygon with four sides. The formula for finding the perimeter of a quadrilateral depends on the specific type of quadrilateral.
So, the sides of the quadrilateral is represented as:
AB = 3 1/2 cm
BC = 2 cm
CD = 1 4/5 cm
DA = 1 9/20 cm
So, the perimeter is P = 3 1/2 cm + 2 cm + 1 4/5 cm + 1 9/20 cm
On simplifying ,
P = 3.5 cm + 2 cm + 1.8 cm + 1.45 cm
P = 8.75 cm
Hence , the perimeter is P = 8 4/3 cm
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Select The decimal that is equivalent to 7/8
Answers
Answer:
0.875
Step-by-step explanation:
look at the fraction as a division problem
8÷7
Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.
Answers
Answer:
Pr(only one of them will pass the driving test) = 0.38
Step-by-step explanation:
The probability that Ben will pass = 0.8
Let Pr = pribability
Pr(Ben pass) = 0.8
Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8
Pr(Ben fail) = 0.2
The probability that Tom will pass = 0.7
Pr (Tom pass) = 0.7
Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7
Pr (Tom fail) = 0.3
Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)
Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)
Pr(only one pass) = 0.24 + 0.14
Pr(only one pass) = 0.38
Answer:0.38
Step-by-step explanation:
.
A person invests 10000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the
person leave the
in the bank until it reaches 27400 dollars?
leave the money
r
A = P(1 + -)nt
n
Answers
Answer:
The answer is 18.4 months.
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answers
Hint
If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.
To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.
I hope this helps :)
what is 5 + 5 /2 - 4 x 10
Answers
Step-by-step explanation:
use bodmas
start with multiplication
-4*10 = -40
5+5/2 - 40
addition next
5 + 5/2 = 7.5
7.5 - 40 = -32.5
f(x) = (x-6)(x + 5)
What are the zeros of the quadratic?
Answers
Answer:
x=6 x=-5
Step-by-step explanation:
f(x) = (x-6)(x + 5)
To find the zeros, set the function equal to zero
0 = (x-6)(x + 5)
Using the zero product of property
0 = x-6 0=x+5
x=6 x=-5
how to make a dot plot
Answers
Answer:
draw a a big L and put your numbers
Please can people help??!!
Photo below
Answers
i think this is the method for solving it
Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000
Answers
Answer:
Its 1rst and 3rd
Step-by-step explanation:
I took the assignment. Its correct.
Answer:
1 and 3
Step-by-step explanation:
on edge just got it right :)
PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.
Answers
Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.
A. There is no association between using social media and grade level.
B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.
D. An 8th grader is more likely to use social media than not.
E. Knowing a student’s grade level does not help determine if he or she uses social media.
What is Probability?Probability is the ratio of the favorable outcomes to the total outcomes.
Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.
We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.
Probability of using social media by a 9th grader is-
P(9) = 0.81 / 1 x 100 = 81%
Probability of using social media by a 8th grader is-
P(8) = 0.84 / 1 x 100 = 84%
We cannot define the usage of social media depending on the grade level.
Thus, Options A, B, D, and E are correct answers.
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The table is attached
What is the area of rectangle with side lengths of 5/12 foot and 2/3 foot?
Answers
Answer:
The answer is 5/18
Step-by-step explanation:
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.
Given :
Lengths of 5/12 foot and 2/3 foot.
The area of the rectangle is given by the formula:
A = W [tex]\times[/tex] L
where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.
So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:
[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]
Further, simplify the above expression
[tex]\rm Area = \dfrac{10}{36}[/tex]
[tex]\rm Area = \dfrac{5}{18}[/tex]
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.
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What is the answer to this
Answers
Answer:
im pretty sure it's c
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
can you please help me fill this out thanks
Answers
Answer: [tex]\sqrt{2}[/tex]
Step-by-step explanation:
In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]
Which table represents a linear function?
Answers
Answer: C
Step-by-step explanation:
when x increases by 1 y increases by 2 and is consistent
hope this helps :3
it was found that out of 45 girls,10 joined singing but not dancing and 24 joined dancing . how many joined but not singing ? how many joined both
Answers
45-10 singing= 35 not singing
45-24 dancing = 21 not dancing
24+10= 34 in singing OR dancing,
Subtract the 34 from 45
which leaves 11 in both singing AND dancing.
21 girls joined but not singing and 14 girls joined both singing and dancing.
What are Arithmetic operations?Arithmetic operations can also be specified by the, subtract, divide, and multiply built-in functions.
Total no. of girls = 45
No. of girls are dancing = 24
No. of girls are singing but not dancing = 10
No. of girl are both singing and dancing = 24-10 = 14
No. of girls are dancing but not singing = 45-24=21
Hence, 21 girls joined but not singing and 14 girls joined both singing and dancing.
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Kate recorded the length of her last six workouts. Workout Length (minutes) 1 49 2 29 3 32 4 55 5 42 6 29 What is the median of the lengths of Kate's workouts? (Round, if necessary.) A. 6 minutes B. 29 minutes C. 39.33 minutes D. 37 minutes Reset
Answers
Answer:
1, 2, 3, 4, 5, 6, 29, 29, 32, 42, 29, 55
median = 29
Step-by-step explanation:
median is the middle number in a list of numbers from least to greatest.
I don’t know how to do this
Answers
Answer:
See attachment
Step-by-step explanation:
Right triangle RST is shown below with the dimensions given in feet
(ft)
Which is closest to the measure of ZR?
Select one
15.1
15.7
74.3
74.9
Answers
Answer:
As the triangle is right angled ,
sinR = 17/63
Angle R = 15.7⁰
The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Right triangle RST is shown below with the dimensions given in feet.
Now, By trigonometric formula;
tan x = Opposite / Adjacent
Here, Opposite side of angle R = 17 ft
And, Adjacent side = 63 ft
Hence, We get;
tan x = Opposite / Adjacent
tan R = 17 / 63
tan R = 1/9
R = 15.7°
Thus, The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
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distance between two points: what is the distance between 2, -3 and 8, -9?
Answers
Answer:
6sqrt(2) units
Step-by-step explanation:
Distance² = (-9 - -3)² + (8 - 2)²
Distance² = (-6)² + 6²
Distance² = 36 + 36
Distance² = 72
Distance = 6sqrt(2)
sqrt: square root
3. A regular hexagon has six equilateral triangles with a common
endpoint. If the height of one of those triangles is 8 inches explain
why the perimeter of the hexagon is 55.43 inches.
Answers
Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Timmy has 6 pennies. Sara steals 3 pennies from Timmy. How many pennies does Timmy have now ?
Answers
Answer:
Timmy has 3 pennies.
Step-by-step explanation:
If Timmy has 6 pennies at first, and Sarra takes away 3
then 6-3=3, so timmy has three left.
3 because she stole 3. 6-3=3
What is 0.83¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answers
Answer: 5/6
Step-by-step explanation:
Answer:
the answer is
100÷83
Step-by-step explanation:
hope this helps
The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?
Answers
15m = 150cm
Answer 150cm
Expand. Your answer should be a polynomial in standard form. (x - 7)(x - 3)
Answers
Answer:
x^2-10x+21
Step-by-step explanation:
Answer:
The answer is x^2-10x21
If Nick used 56 feet of fence to enclose a square garden.How long,in feet was each side of Nicks garden?
Answers
Answer:
Each side is 14 ft.
Step-by-step explanation:
If there are 4 equal sides, you divide 56 by 4. That equals 14.
