The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
[tex]f(x)=x^{2} -2x+8[/tex]......(1)
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].
As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0
For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
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Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
48
66
24
33
Item at position 2
2
1 point
Item at position 2
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
132 degrees
96 degrees
180 degrees
90 degrees
Item at position 3
3
1 point
Item at position 3
Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
90
20
12
5/2
Item at position 4
4
1 point
Item at position 4
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
29 degrees
55 degrees
90 degrees
20 degrees
Item at position 5
5
1 point
Item at position 5
Think carefully about the angle relationship the following represents.
What is the value of x ?
Think carefully about the angle relationship the following represents.
What is the value of x ?
42
18
26
5
Item at position 6
6
1 point
Item at position 6
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
180 degrees
90 degrees
100 degrees
126 degrees
Answer:
See below ↓↓↓
Step-by-step explanation:
Subquestion #1
These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66Subquestion #2
These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12Subquestion #3
As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42#1
Linear pair[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]
[tex]\\ \rm\Rrightarrow x+24=90[/tex]
[tex]\\ \rm\Rrightarrow x=66[/tex]
#2
Complementary angles[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]
[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]
[tex]\\ \rm\Rrightarrow 4x=48[/tex]
[tex]\\ \rm\Rrightarrow x=12[/tex]
4x+7=4(12)+7=55°#3
[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]
[tex]\\ \rm\Rrightarrow 3x=126[/tex]
[tex]\\ \rm\Rrightarrow x=42[/tex]
A ten sided die is rolled.
P (3 or 5)
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
The percentage of executives in a certain industry receiving cash signing bonuses is increasing. the percentage is given by the function b(t)= 4.891(1.331)^t. where r is the number of years since 1996. find the percentage of executives receiving signing bonuses in 2000 and in 2001.
The function b(t)= 4.891(1.331)^t is an exponential function
The percentage of executives in 2000 is 15.35The percentage of executives in 2001 is 20.43The percentage of executives in 2000The function is given as:
b(t)= 4.891(1.331)^t.
2000 is 4 years from 1996.
This means that t = 4
So, we have:
b(4)= 4.891(1.331)^4
Evaluate
b(4)= 15.35
So, the percentage of executives in 2000 is 15.35
The percentage of executives in 20012001 is 5 years from 1996.
This means that t = 5
So, we have:
b(5)= 4.891(1.331)^5
Evaluate
b(5)= 20.43
Hence, the percentage of executives in 2001 is 20.43
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Jacob has $4,800 to invest in a saving account. He receives a steady interest rate of 3. 35% compunded quarterly. He would like to save or the next 5 years and then take his money out. What would be his balace at the end of the 5 years?
$9,354. 20
$7,211. 74
$5,671. 30
$5,604. 0
Answer:
5671.30
Step-by-step explanation:
periods = 5 years quarterly = 20 periods
interest per period .0335/4 (4 periods per year)
initially 4800
FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Each month, Alex’s cellphone plan costs
$15, plus $0.10 per minute of use.
Which graph could represent Alex’s total
monthly cost?
Answer:
Graph-d
Step-by-step explanation:
We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:
[tex]y = mx + b[/tex]
in this case,
m represents the cost of Alex's per minute of useb represents the initial costs of Alex's cellphone planm represents the number of minutesy represents the amount of total monthly costSince Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is
⇒[tex]y=\dfrac{1}{10}x+15[/tex]In conclusion
Graph d represents Alex’s total monthly cost
Please help I'm stuck
Answer:
C, those who vote FOR the Ballet Measure tend to be from District 2.
Step-by-step explanation:
Look carefully, read the questions! Okay! Cya!
Those who vote for the ballot measure tend to be from District 2. The correct option is C.
How to calculate the relative frequency of the data?To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.
District 1:
For: 13/75 ≈ 0.1733
Against: 12/75 ≈ 0.16
District 2:
For: 15/75 ≈ 0.2
Against: 10/75 ≈ 0.1333
District 3:
For: 9/75 ≈ 0.12
Against: 16/75 ≈ 0.2133
Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),
While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:
The correct option is C.
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Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY
Answer:
y+2 if this is correct can u mark me brainliest?
ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.
for classroom use.
Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
I need help on this
Answer:
a) 1/8
b) 8
Step-by-step explanation:
a) 1/2 x 1/2 x 1/2 = 1/8
b) since the exponent is negative it becomes positive when placed in the denominator
so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2
therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8
Rachel's aunt gave her $85 to spend on
school spirit items. Rachel bought 4 pens
for $0.85 each, a hoodie for $45.50, and
5 folders for $2.79 each. How much
money did she have left?
A $22.15
B $19.36
C $62.85
D $35.86
The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is $22.15.
How much does Rachel have left?In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.
Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85
Change = $85 - $62.85 = $22.15
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32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME
Answer:
62
Step-by-step explanation:
In this scenario, we would use BODMAS to determine where to start.
B - Brackets
O- Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
First, let's start with the brackets.
16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.
16 X [tex]\frac{1}{2}[/tex] = 8
Next is the division sum.
32 ÷ 4 = 8
Afterwards, we multiply both answers.
8 X 8 = 64
Your answer is then minused by 2 and leads to the final answer.
64 - 2 = 62
16. The population density of football stadium is.57 people per square foot. If the area of the stadium is 1,750,000 ft?,
then about how many people are in the stadium?
Answer:
99750000 people
Step-by-step explanation:
1,750,000*57=99750000
if you answer correctly i will mark you brainliest
Answer:
200
Step-by-step explanation:
main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.
Which choice describes an equation
that has a solution set of
"All real numbers"?
3(x + 1) = 3x + 3
Answer:
Step-by-step explanation:
Remark
Choose any number at all and see what happens.
Suppose x = 8
3*(8 + 1) = 3*8 + 3
3(9) = 27
3*8 + 3 = 24 + 3 = 27
What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)
If choice two is false then choice one must be true since these results may give the only 2 possible results.
Find a 99% confidence interval for each of the following. Round to the nearest tenth if necessary. 1. x = 75, s = 10, and n =64 2. x = 56,5 = 2, and n= 50. 3. X = 40, s = 3, and n = 36
The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).
How to calculate the confidence interval?The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:
= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]
= 71.76, 78.23
The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:
= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]
= 55.27, 56.73
The 99% confidence interval when x = 40, s = 3, and n = 36 will be:
= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]
= 38.71, 41.29
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What is the largest whole number I could be if 9 + I is larger than 28?
Answer:
20 and greater than 20
If you add 9 and 20, you get 29, which is one greater than 28.__________________________________________________________
Questions?Ask me in the comments box.
Can you help me with this problem it is greatly appreciated
Answer:
Mikiala, just remember π is just a number. sooo
Step-by-step explanation:
we need a formula for area of a cone which is (1/3) * π * r² * h
A = area , then
A= (1/3) * π * r² * h
now just solve with the known info
A = 1/3 * π* [tex]6^{2}[/tex] *16
A= 192π
Answer:
603.2
Step-by-step explanation:
Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h
Question 13 options:
What is the slope of the line of the graph?
Answer:
Step-by-step explanation:
To find the slope, pick any two points fromthe line.
(2,2) & (0,-4)
x₁ = 2 & y₁ = 2
x₂ = 0 & y₂ = - 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]
Slope = 3
At y-intercept x = 0.
From the graph, y-intercept = -4
Equation of the line: y = mx + b
y = 3x - 4
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. they are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (–425)2 (–275)2 (325)2 (75)2 (–75)2 = 423,750 (650)2 (–150)2 (–600)2 (250)2 (150)2 (–300)2 = 980,000 (250)2 (–400)2 (–250)2 (350)2 (100)2 (–50)2 = 420,000 what is the variance? what is the standard deviation, rounded to the nearest whole number?
Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
What are the variance and standard deviation?In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.
2,400; 1,750; 1,900; 2,500; 2,250; 2,100
we need to find which of the following represents the numerator in the calculation of variance and standard deviation.
(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750
(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000
(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000
92416.60
The variance is 84000
The standard deviation is 290
mean = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
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please help with the question
Answer: (A) 11,-2/5
Step-by-step explanation:
when we solve the equation we get x=10 -5/2y and 3 x- 10 y = 37
then we substitute the value of "x" 3 (10-5/2y)- 10y=37
then we substitute the value oh "y" y= -2/5
solution
(x,y) = (11, -2/5)
Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10
Answer:
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
Step-by-step explanation:
Circle is touching y-axis at point (0, 3) and is centered at (2, 3)
-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 =r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-2)^2 +(y-3)^2 =2^2[/tex]
[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
This is the required equation of the circle.
Use the graph to complete the follow statement. _____ cm of rain fell in total on Tuesday.
Write -1/3c^2(1.2d^2-6c) as a polynomial
Answer:
[tex]-\dfrac25c^2d^2+2c^3[/tex]
Step-by-step explanation:
[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]
[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]
[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]
[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]
someone please answer these 3 questions
Answer:
5 prism all have same volume
Step-by-step explanation:
geometry help
answer choices:
24
12
82
59
The measure of the angle ∠A will be 12°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.
From the diagram, the equation is given as,
∠A = (arc DE - arc BC) / 2
∠A = (94° - 70°) / 2
∠A = 24° / 2
∠A = 12°
The measure of the angle ∠A will be 12°. Then the correct option is B.
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Help me find the answer to this area of a kite problem
Answer:
Below in bold.
Step-by-step explanation:
Area of a kite = 1/2 * D1 * D2 were D1 and D2 are the 2 diagonals
D1 = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9
So area = 1/2 * 7.5 * 9
= 33.75.
Answer:
33.75 Ft
Step-by-step explanation:
(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2
An angle measures 142° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
161° and 19°
Step-by-step explanation:
supplementary angles =180
(142+x)+(x)=180
142+2x=180
2x=180-142
2x=38
x=19
142+19=161
Find the value of x.
I’m desperate for help
Answer:
the answer is 24 since 24 x 5 = 120
Step-by-step explanation:
Hope this helps you!
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
3.26
Step-by-step explanation:
33.5/3.14 = 10.66 ( when rounded to the nearest tenth).
10.66 square rooted is 3.26
The required radius of the sphere is 2 inch.
Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.
Volume, is defined as mass gained per unit cube of density.
Here, area of sphere = [tex]4/3\pi r^3[/tex]
33.5 = 4/3 πr³
r³ = 33.5 * 3/4π
r = 2
Thus, the required radius of the sphere is 2 inch.
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Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?
Answer:
Step-by-step explanation:
so, 50+75=125.
180-125=55.
There can be-
130, 95, and 125
