Answer:
f(x)=(x+2)^2+37
Step-by-step explanation:
Got it right on Khan :)
The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = x² + 4x + 41.
The quadratic function is converted into square form by adding and subtracting the square of the half of the coefficient of x.
f(x) = x² + 4x + 41
Transform into square form. Then the quadratic function will be
f(x) = (x² + 4x + 4) + 41 – 4
f(x) = (x + 2)² + 37
The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.
More about the quadratic equation link is given below.
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In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
how many take neither?
Answer: 9
Step-by-step explanation:
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
students who take neither: 35 - 26 = 9.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
now,
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
To learn more on subtraction click:
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PLEASE HELP QUICK WILL MARK BRANLIEST
Answer:
A, C, and B. In that order
Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.
Answer:
[tex]4\frac{19}{24}[/tex]
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]
Next thing to to is subtract 1/3 from both sides to get:
[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]
Finally, you subtract 123 over 24 by 8 over 24.
K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]
Then just simplfy the 115/24 to get
[tex]4\frac{19}{24}[/tex]
Length of TV is 12π in. The diameter is?
Answer:
Diameter = 54 units
Step-by-step explanation:
Given:
Angle θ = 80'
Length of arc TV = 12π
Find:
Diameter
Computation:
Length of arc = [θ/360][2πr]
So,
12π = [80/360][2πr]
54 = 2r
r = 27
Diameter = 2r
So,
Diameter = 54 units
Find the area for this problem
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation:
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve
Answer:
to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846
Step-by-step explanation:
right answer
In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
Given the Trapezoid ABCD
Find the length of AD
Pls hellpppp
Given:
In trapezoid [tex]ABCD, AD\parallel BC, MN[/tex] is the mid-segment of [tex]ABCD, AD=30x-10,MN=31x+1,BC=30x+28[/tex].
To find:
The length of [tex]AD[/tex].
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid [tex]ABCD[/tex],
[tex]MN=\dfrac{AD+BC}{2}[/tex]
[tex]31x+1=\dfrac{30x-10+30x+28}{2}[/tex]
[tex]31x+1=\dfrac{60x+18}{2}[/tex]
[tex]31x+1=30x+9[/tex]
Isolate variable terms.
[tex]31x-30x=9-1[/tex]
[tex]x=8[/tex]
Now,
[tex]AD=30x-10[/tex]
[tex]AD=30(8)-10[/tex]
[tex]AD=240-10[/tex]
[tex]AD=230[/tex]
Therefore, the length of [tex]AD[/tex] is 230.
Which table of vales can be defined by the function, y=6x-2? Please helpppp. This is hard.
Answer:
The Answer is D.
Step-by-step explanation:
You just need to plug in x for the first few, if it doesn't match go to the next option.
I tried this and figured out it's d in less than a minute.
find x. give your answer in the simplest form
Answer:
16
Step-by-step explanation:
sin = adjacent ÷ hypotenuse.
sin 45 = x ÷ 23
0.71 = x ÷ 23
0.71 × 23 = x
x = 16.26
~ 16.
Answer:
Step-by-step explanation:
using the Pythagorean theorem a² + b² = c²
in this triangle a = x and b = x so x² + x² = c² c is the hypotenuse
x² + x² = c²
2x² = c² since c = 23 solve for x
x² = c² / 2
x = ± √(c² / 2)
x = ± √(23² /2)
= ± √(529 /2)
= ± √(264.5)
= 16.26 x can't be negative
That is correct but it doesn't answer the question
x = ??? / √xx
sin 45 = √2 / 2 which equals x / 23
√2 / 2 = x / 23
x = 23 (√2 / 2)
= 23 (√2) / 2 divide the √2 numerator and demenator
= 23 (√2)/√2 / (2 / √2)
= 23 / (2 / √2)
Sorry I have no idea what goes in the green box
geomtry 20 points: find m
Answer:
it is not factorable
Step-by-step explanation:
it is not factorable
Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).
Answer:
s(r(2)) = 6
Step-by-step explanation:
You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).
r(x)= -2x + 2
r(2)= -2(2) + 2
r(2)= -4 +2
r(2)= -2
s(x)=x² + 2
s(r(2)) = (-2)² +2
s(r(2)) = 6
Can someone help me with this. Will Mark brainliest.
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
20ml : 6ml: 15ml
Step-by-step explanation:
1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.
Math help pls all 4 questions please
Answer:
a)32500
b)0.00604
c)2.4×10^6
d)1.47x10-³
Step-by-step explanation:
plz can i get brainliest:)
The volume is 120.9 in. What is the missing dimension (X)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x = 2.5
Explanation:
5.2 * 9.3 * x = 120.9
120.9 / 5.2 = 9.3 * x
23.25 = 9.3 * x
23.25 / 9.3 = x
x = 2.5
I hope this helped!
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- Zack Slocum
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A bag contains 25 kg of flour. A baker used 80% of it to bake bread. How much flour,in kg,remained ?
Answer:
5 kg flour remains
Step-by-step explanation:
80% of the original 25 kg comes to 0.80(25 kg), or 20 kg. We convert 80% to its decimal equivalent, 0.80, to get this result
The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.
5 kg flour remains.
Answer:
25 - 20 = 5 kg
Steps:
25×80/100 = 25×8/10 = 200/10 = 20 kg
25 - 20 = 5 kg
What is 3 1/5 as an improper factor?
Answer:
16/5
Step-by-step explanation:
You won the lottery!! You decide to first buy the expensive car you've always loved. There are lots of options. In addition to deciding whether you want an automatic or manual transmission, you have to choose an exterior color from 15 options, an interior color from 12 options, seats that have either a heating or massage option, 4 different types of audio systems, and 5 luxury packages with special extras for your car. If you pick one in each category, how many different car packages are there?
What is the slope of the line that passes trough the points (-6,3) and (4,8)
Answer:
Step-by-step explanation:
(HELPP)In the figure below, AE
BD and BD bisects ∠EBC
Answer:
7) ∠EBD = 60°
87) ∠DBC = 72°
9) ∠EBC = 156°
10) ∠EBC = 138°
Step-by-step explanation:
Find the output, yyy, when the input, xxx, is 303030. y = 14-0.5xy=14−0.5xy, equals, 14, minus, 0, point, 5, x y=y=y, equals
Answer:
Output, y = -1 when input, x = 30
Step-by-step explanation:
Given equation:
y = 14 - 0.5x
Where,
y = output
x = input
Find the output, y, when the input, x, is 30
y = 14 - 0.5x
y = 14 - 0.5(30)
y = 14 - 15
y = -1
Therefore,
Output, y = -1 when input, x = 30
Answer:
-1
Step-by-step explanation:
KHAN ACADEMY :)
I CAN FIND AN EXPLANATION IF NEEDED
In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls
9514 1404 393
Answer:
b = 6
Step-by-step explanation:
The area is given by the formula ...
Area = 1/2·ab·sin(C)
12 = (1/2)(8)b·(1/2) . . . . . fill in the given values
12 = 2b . . . . . . . . . . . simplify
6 = b . . . . . . . . . . . divide by 2
The length of side b is 6 units.
Please help ASAP!!!!!
Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30.
Part B
During a clearance sale, Alexandra discounts the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sells? Show your work or explain your answer.
Please and thank you!! And please if you can explain how you got the answer.
Answer:
A is 360
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply $30 by .25 you get, it's $7.50so you subtract $7.50 from $30 and you get $22.50. Then multiply 2 (sweaters) by $22.50 and you get $45,but wait you still have to multiply that sales tax so you multiply .04 by $45 and you get $1.80, later you subtract $1.80 from $45 and you get $43.20(the cost of the two sweaters) I did part1 only cuz' no I have no time left Sorry for the inconvenience
Describe the horizontal cross section of the triangular pyramid.
A.triangle
B.rectangle
C.trapezoid
D.square
Which graph can be used to find the solution(s) to x2 – 1 = 3?
Answer: D
Step-by-step explanation:
right on edge
The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250
Answer:
y = 150x
Step-by-step explanation:
There is a proportional relationship between number of computers sold (x) and profit generated (y)
y ∝ x
y = kx
Here, k = proportionality constant
From the table given,
At y = 450 and x = 3,
450 = k(3)
k = 150
Therefore, expression that represents the proportional relationship will be,
y = 150x
Please help Z and Y
Answer:
10=Z and 10=Y
Step-by-step explanation:
since it is a 45, 45, 90 triangle
both Z and Y will be the same length
the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs
Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10
Hope that helps :)
The product of -2 and a number is at most 10.
Find the possible numbers.
A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5
Answer:
a because 5 or less than 5 equals almost or less than 10
There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many rows will the hamsters fill? Choose the best estimate.
A. 20
B.4
C.40
D.60
Answer:
C, 40
Step-by-step explanation:
If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.
To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.
Answer:
C.
Step-by-step explanation:
Take the first two numbers of 486.
How many times does 12 fit into 48?
4 times.
Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'
40.
Hope this helped!