Answer:
See below
Step-by-step explanation:
Expansion
[tex]f(x)=3(x+6)^2-75\\\\f(x)=3(x+6)(x+6)-75\\\\f(x)=3(x^2+12x+36)-75\\\\f(x)=3x^2+36x+108-75\\\\f(x)=3x^2+36x+33[/tex] <-- Stop here if this is what you need
Factorization
[tex]f(x)=3(x^2+12x+11)\\\\f(x)=3(x+1)(x+11)[/tex]
We know from vertex form that the vertex of the parabola is [tex](-6,-75)[/tex] and when factored, the zeroes are [tex]x=-1[/tex] and [tex]x=-11[/tex].
Select the correct answer. which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 c. 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 d. 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 e. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.
Which data set is farthest from a normal distribution?A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.
On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.
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What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
Evaluate the expression for the given value
Answer: Choice C) 9/16
Reason:
Square the 3 up top to get 3^2 = 3*3 = 9
Square the 4 down below to get 4^2 = 4*4 = 16
Solve this system of linear equations. Separate the x- and y-values with a comma.
2x = 9x - 14y
9x = 40 - 14y
Answer:
x = [tex]\frac{5}{2}[/tex], y = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
1. Isolate for x in one of the equations:
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
2. Substitute 2y in for x in the second equation:
9(2y) = 40 - 14y
3. Simplify:
18y = 40 - 14y
4. Isolate for y:
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = [tex]\frac{5}{4}[/tex]
5. Substitute the new y-value into the simplified expression x = 2y:
x = 2(5/4)
x = [tex]\frac{5}{2}[/tex]
hope this helps!
What is the product?
(3x-5)(22-7x+1)
answer
1. expand the equation
3x(22-7x+1)-5(22-7x+1)
66x-21x²+3x-110+35x-5
104x-21x²-115
The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n represent the number find the number
Answer:
n = 2 + (60/2)
Step-by-step explanation:
An item has a listed price of $50. If the sales tax rate is 7%, how much is the sales tax (in dollars)?
Sales tax:
Work Shown:
7% = 7/100 = 0.07
7% of $50 = 0.07*50 = 3.50
Extra info: The total price including tax would be 50+3.50 = 53.50 dollars. However, it seems like your teacher is only interested in the tax only.
At a sale, dresses were sold for $76 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?
The percentage of dress was sold for 62% of its original price.
To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:
Percentage Change = (Change in Value / Original Value) × 100
In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):
Original Value = $200
Sale Price = $76
Change in Value = Original Value - Sale Price
Change in Value = $200 - $76
Change in Value = $124
Now we can plug these values into the percentage change formula:
Percentage Change = (Change in Value / Original Value) ×100
Percentage Change = ($124 / $200) × 100
Percentage Change = 0.62× 100
Percentage Change = 62%
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1. Each equation below represents a circle. Place its equation in standard form and then state the coordinates of its center and the length of its radius.
(a) x² + 8x + y2 – 2y = 8
(b) x2 - 6x + y2 - 20 y =12 -
(c) x2 –16x + y2 +10y+88 =
(d) y2 + x2 +8x = 84
Completing the squares, it is found that the center and the radius of the circles are given as follows:
a) The center is (-4,1) and the radius is 5.
b) The center is (3, 10) and the radius is 11.
c) The center is (8,-5) and the radius is 1.
d) The center is (-4,0) and the radius is 10.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Item a:
x² + 8x + y² - 2y = 8
Completing the squares:
(x + 4)² + (y - 1)² = 8 + 4² + 1²
(x + 4)² + (y - 1)² = 25
Comparing to the standard equation: The center is (-4,1) and the radius is 5.
Item b:
x² - 6x + y² - 20y = 12
(x - 3)² + (y - 10)² = 12 + 3² + 10²
(x - 3)² + (y - 10)² = 121
The center is (3, 10) and the radius is 11.
Item c:
x² - 16x + y² + 10y + 88 = 0
(x - 8)² + (y + 5)² = -88 + 8² + 5²
(x - 8)² + (y + 5)² = 1
The center is (8,-5) and the radius is 1.
Item d:
x² + 8x + y² = 84
(x + 4)² + (y - 0)² = 84 + 4²
(x + 4)² + (y - 0)² = 100
The center is (-4,0) and the radius is 10.
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What us the median of (14, 2, 4, 10, 4, 12. 8, 1)?
Answer:
= { 1, 2, 4, 4, 8, 10, 12, 14}
There are total 8 numbers in data. so,
two middle numbers are : 4, 8
= 4+8
= 12
now divide 12 with 2
= 6
So... the median of given set is 6.
Answer:
7
Step-by-step explanation:
since there are two middle numbers you add and divide them by 2
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answer:
601sqmm
Step-by-step explanation:
1/2 x AB x AC x sin(79)
= 1/2 x 35 x 35 x sin(79)
= 601.24 sqmm
solve for the value of x :-
4(3+x)+x=x+4
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \tt \dashrightarrow \: 4(3 + x) + x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 12 + 4x+ x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x + 12 = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x - x = 4 - 12[/tex]
[tex]\qquad \tt \dashrightarrow \: 4x = - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: x = - 8 \div 4[/tex]
[tex]\qquad \dashrightarrow \: \boxed{ \tt x = - 2 }[/tex]
Please Answer, No links! reporting right away!.. giving brainliest and more points!
PLEASE I NEED THIS
Answer:
A) 154x89 _s2
s
Step-by-step explanation:
A) 154x89 _s2
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What is x? I need answers
NEED HELP FOR MY STATS CLASS
A chef has created a linear regression model to predict the boiling temperature of water based on the amount of salt added to a 5-gallon pot of water. What is the explanatory variable and what is the response variable?
Explanatory: boiling temperature of the water; Response: amount of salt
Explanatory: the amount of salt; Response: the amount of water in the pot.
Explanatory: amount of salt; Response: boiling temperature of the water
Explanatory: amount of water in the pot; Response: the amount of salt
Answer:
Explanatory: amount of salt; Response: boiling temperature of the water
Step-by-step explanation:
The chef believes the amount of salt (x) is a predictor for the boiling temperature (y).
Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 16, 25}
O {7,13,20}
O {7, 11, 20}
O {11, 15, 27}
Answer:
{11, 16, 25}
Step-by-step explanation:
This is because whenever you add two sides of a triangle, it must be greater than the third side.
a person borrows $12500 from a lender for 3 years at a rate of 10%.
find the simple interest.
[tex]\huge\boxed {\: I=\frac{PRT}{100}}[/tex]
First, we'll have to multiply the principal amount, rate of interest and time period.
[tex]12500 \times 10 \times 3[/tex]
[tex] = 375000[/tex]
Now, divide the amount ( 375000 ) by 100.
[tex] = \frac{375000}{100} [/tex]
= $3750
Hence, the simple interest is $3750
PLEASE FAST IF I DONT PASS THIS I CANT GO TO PROM WILL GIVE BRAINLIEST!!!
Answer:
B or Number 2.
The expression 25−−√−21−−√ can be rewritten as 5−21−−√. Since the exact value of 21−−√ cannot be found, the difference is irrational.
B or Number 2.
The product of two irrational numbers is ___ (Sometimes) an irrational number.
Step-by-step explanation:
The product of two irrational numbers i never an irrational number
Answer:
C is the answer for the first one and sometimes is the answer for the second one.
Seth took 30 inches of wire and cut it into
13 inch pieces. How many pieces did he
4
get?
Answer:
he go 2 full 13 in pecies 2.30
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What percentage of their total budget did they spend on props?
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.
Answer: 145
Step-by-step explanation: I say this because it has 14. 4 then
If x=y, why is 2 is not equal to 1.
Step-by-step explanation:
this question is kinda tricky
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
question 1: 24
question 2: (1/45)*(1/5)=(1/9)
Step-by-step explanation:
What is the slope of the line that passes through the points (2, 2) and (14, 2)? Write
your answer in simplest form.
Please helpppppppp I need asap
Answer:
80
Step-by-step explanation:
1) 37+63=100
2) 180-100= 80
6.3+n=6.3
can you help me solve this awnser
Answer:
n=0
Step-by-step explanation:
subtract 6.3 from both sides
Answer:
your answer is N=0
All you have to do is subtract 6.3 from both sides and you'll be left with N=0
Please help me on this!
By evaluating, we will see that for x = 7 h(x) exceeds g(x).
For which value of x does h(x) first exceed g(x)?
We have:
h(x) = 2*(2)^x
g(x) = 22x - 4
Now we can evaluate both function in the different options:
h(5) = 2*(2)^5 = 64
g(5) = 22*5 - 4 = 106
We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.
h(6) = 2*(2)^6 = 128
g(6) = 22*6 - 4 = 128
So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).
The correct option is B.
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If you know the sine value for a given angle, how can you quickly find the cosecant value for that same angle?
Answer:
See below
Step-by-step explanation:
Remember the quotient identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so you need to take the reciprocal of the sine value for the given angle in order to get the cosecant value for that same angle.
The required value of cosecant of an angle can be found by taking the reciprocal of sine value.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
Suppose the sine value of an angle A is SinA,
Then, cosecant value can be written as CosecA.
These trigonometric ratios are reciprocal of each other.
Thus, it can be written as,
CosecA = 1/SinA
Hence, the value of cosecant of an angle can be found by taking the reciprocal of sine value.
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Grapes are on sale for $0.98 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
Answer:6.93
Step-by-step explanation: Since we want to know how mush it costs, we have to multiply
1.98*3.5= 6.93
Step-by-step explanation:
I think the answer is$3.92 not sure..
Giving brainliest!!!!!
Answer:
(7, -3)
Step-by-step explanation:
x-5
y+8
Inverse
12-5
-11+8
(7, -3)