What is the GCF of -16y4+12y^2-4y?
Answer:
4y
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Hope this helps!!! Brainliest is appreciated.
Answer:
In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,
Step-by-step explanation:
Which of the following is a solution of x^2 + 5x = -2?
Answer:
x= -0.4385 or -4.5615
Step-by-step explanation:
x²+5x+2=0
Using almighty formula;
a=1, b=5, c=2
x = [ -b± √( b^2 - 4ac)]/2a
x= -5±√(25-8)/2
x=(-5±4.123)/2
Therefore x=(-5+4.123)/2 or (-5-4.123)/2
x= -0.4385 or -4.5615
The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]
To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]
Let's rearrange the equation to bring all terms to one side:
[tex]\[x^2 + 5x + 2 = 0\][/tex]
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]
In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]
[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]
So, the solutions are:
[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]
Thus, [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]
What is the measure of
Answer:
Angle QPU = 110
Step-by-step explanation:
Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.
Answer:
Step-by-step explanation:
Note, line UPR is a straight line
Also, angle on a straight line is 180
Therefore,
<QPU and <QPR are supplementary
<QPU+<QPR=180
Given that <QPR=70°
<QPU+70=180
Subtract 70° from both sides of the equation
<QPU=180 -70
<QPU=110
what is the measure of its complementary angle.
Answer:
78.6 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees. So just take 11.4 from 90.
90 - 11.4 = 78.6
1) 4x - 5y = -22
-2x + 5y = 26
f (x) = -3x – 4.
f (2/3)=
Answer:
f(2/3)=-6
Step-by-step explanation:
f(x) =-3x-4
x=2/3 then
f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6
Someone help Solve 1/3/5 = a/20
is 419108 divisible by 4?
Answer:
419,108 is divisible by 4
Step-by-step explanation:
419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.
Answer:
yes
Step-by-step explanation:
At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.
This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.
A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Answer:
[tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]
Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
when a curve and a line meet at a point, are their gradient equal?
Check the picture below.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.
The sum of four consecutive even integers is-28
Answer:
-10, -8, -6, -4
Step-by-step explanation:
Perhaps you want to know what they are.
__
The odd number between the middle two is their average value: -28/4 = -7.
The integers are -10, -8, -6, -4.
Answer: The even integers are -10, -8, -6 and -4
Step-by-step explanation:
Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6
Thus, x + (x+2) + (x+4) + (x+6) = -28
4x + 12= -28
Make x the subject of the equation
4x= -28 - 12
4x= -40
x = -10,
since the x = -10,
x + 2= -10 + 2= -8
x + 4= -10 +4 = -6
x + 6= -10 + 6= -4
I hope this helps.
What is the first step in financial planning?
A.
maintaining a log of all your expenses
B.
understanding what you want
C.
preparing a balance sheet
D.
attaching a goal cost to every goal
E.
attaching a time frame to every goal
Reset Next
Answer:
I think E hope it can help
The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?
Answer:
Rotations of tire to travel 500 feet: 95.54
Step-by-step explanation:
Circumference = 20 x 3.14 = 62.8 in
500 feet = 500 x 12 inches = 6,000 in
Rotations = 6000 / 62.8 = 95.54 rotations of tire
a cone shaped pile of saw dust has a base diameter of 26 feet and is 10 feet tall find the volume of the pile
The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.
Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form.
Answer: (-1,-2) Sowwy if im wrong
Step-by-step explanation:
Answer:
1 and 1
Step-by-step explanation:
Help, please! Image + question. below!
Answer: The answer is 4) 4x*3 +4x^2 where x = 6,13
4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =
=232.7+ 49.04 = 282.1 cube
The answer is 281.1 when x=6.13
Step-by-step explanation:
Answer:
A, B & C
Step-by-step explanation:
Edge 2020 assignment
Are ratios 7/4 and 42/24 equivalent
42/24 = 42/24 or 7/4 = 42/24 so yes
Step-by-step explanation:
they're equivalent
42 and 24 are multiple of 6
so 42/24
42/6 is 7
24/6 is 4
fraction is 7/4 so YES
Solve this problem : (X-3)^2
Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x - 3)^2
(x - 3)(x - 3)
x^2 - 3x - 3x + 9
x^2 - 6x + 9
Answer:x^2-6x+9
Step-by-step explanation:
(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9
Collect like terms
X^2-6x+9
A container is in the shape of a cylinder with a hemisphere on the top. The cylinder has radius 5 cm and height 8 cm. The hemisphere has the same radius as the cylinder.
What is the total surface area of the container? Give your answer in cm2 correct to 3 significant figures.
The total surface area is given by:
The base of the cylinderThe lateral surface of the cylinderThe surface of the hemishpereThe base of the cylinder is a circle with radius 5cm, so its area is
[tex]A=\pi r^2=25\pi[/tex]
The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is
[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]
Finally, the surface of a sphere is given by
[tex]A=4\pi r^2[/tex]
so, half that surface will be
[tex]A=2\pi r^2=50\pi[/tex]
And the total surface area will be the sum of the three areas:
[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]
Answer:
Total surface area of the figure[tex]=486.7cm^2[/tex]
Step-by-step explanation:
Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere
[tex]r= 5cm\\\\h= 8cm[/tex]
Area of the cylinder with the side walls and the the bottom:
[tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]
[tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]
Area of the top hemisphere:
[tex]2*\pi *r^2[/tex]
[tex]=2*3.14*5*5[/tex]
Area of the top hemisphere= [tex]157 cm^2[/tex]
Total surface area of the figure [tex]= 329.7+157\\\\[/tex]
[tex]=486.7cm^2[/tex]
und
circumference - 150 m
What is the measure of its radius?
Answer:
The radius is 75m
Answer:
[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]
Archaeologists want to determine the probability of a certain number of students finding a fossil during an expedition.
The probability of an individual finding a fossil is 22%. What determines the number of successful trials in this study?
the probability of an individual finding a fossil
the probability of an individual not finding a fossil
the number of individuals surveyed who found a fossil
the number of individuals whom the archaeologists surveys
Step-by-step explanation:
please helppppppppppppppppppppppppppppppp
Answer:
median : 73
mean : 71.5
mode : 68 and 85 (?)
range: 35
Step-by-step explanation:
50, 50, 68, 68, 68, 78, 78, 85, 85, 85
median: order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73
mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5
mode: the number that occurs the most,,theres two whoops 68 and 85
range: subtract the smallest number from the largest. 85 - 50 = 35
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
no solution
Step-by-step explanation:
no solution
Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.
To determine whether the statement is true or false, let's first analyze the given equation:
2x + 3y = 6
We're given that when x = 0, y = 2. We can use this information to solve for y:
2(0) + 3y = 6
0 + 3y = 6
3y = 6
y = 6/3
y = 2
This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.
To summarize:
Given the equation 2x + 3y = 6, when x = 0, y = 2.
Proof:
2(0) + 3(2) = 6
0 + 6 = 6
6 = 6
Thus, when x is 0, y is indeed 2, verifying the statement as true.
Complete Question:
Given: 2x+3y=6. When x has a value of zero, the y value is 2.
(a) True
(b) False
You are adding 6[tex]\frac{3}{4}[/tex] + 3[tex]\frac{2}{3}[/tex] using fraction strips. Explain how you rename the fraction part of the sum.
Answer:
10 5/12
Fraction part: 5/12
Step-by-step explanation:
6¾ + 3⅔
6 + 3 + ¾ + ⅔
9 + [3(3) + 4(2)]/12 12 is the LCM
9 + (9+8)/12
9 + 17/12
9 + (12+5)/12
9 + 1 + 5/12
10 5/12
what is the area, in square centimeters, of the figure below?
show work please!!
Answer:
C
Step-by-step explanation:
Here it is: 5.8*2.4=13.92
Answer:
6.96
Step-by-step explanation:
2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.
twice a number divide by 6 is 42
Answer: 126
Step-by-step explanation: 42 times 6 equals 252, 252 divided by 2 equals 126
Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line
Question:
Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answer:
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
Solution:
Length of the paper = 2 m
Width of the paper = [tex]1\frac{1}{4}[/tex] m = [tex]\frac{5}{4}[/tex] m
Area of the rectangle = length × width
[tex]$=2\times \frac{5}{4}[/tex]
[tex]$= \frac{5}{2} \ m^2[/tex]
Diagonal of a rectangle divides it into two equal parts.
Area of each piece = Area of the rectangle ÷ 2
[tex]$=\frac{ \frac{5}{2}}{2}[/tex]
[tex]$=\frac{5}{4} \ m^2[/tex]
[tex]$=1 \frac{1}{4} \ m^2[/tex]
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
A local hamburger shop sold a combined total of 518 hamburgers and cheeseburgers on Tuesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Tuesday?
hamburgers
Final answer:
To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.
Explanation:
To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:
x + (x + 68) = 518
Solving for x we get:
2x + 68 = 518
2x = 518 - 68
2x = 450
x = 225
So, the hamburger shop sold 225 hamburgers on Tuesday.
A 1,000 gallon pool (no top) with a rectangular base will be constructed such that the length of the base is twice the width. Find the dimensions (length, width, and height) of the pool that minimize the amount of material needed to construct it.
Answer:
W = 4.646 ft
L = 9.292 ft
H = 3.097 ft
Step-by-step explanation:
Let's say the L is the length, W is the width, and H is the height.
The volume of the pool is:
V = LWH
The area of the pool is:
A = LW + 2LH + 2WH
L = 2W, so substituting:
V = (2W)WH
V = 2W²H
A = (2W)W + 2(2W)H + 2WH
A = 2W² + 4WH + 2WH
A = 2W² + 6WH
Solving for H in the first equation and substituting into the second:
H = V/(2W²)
A = 2W² + 3V/W
Find dA/dW and set to 0.
dA/dW = 4W − 3V/W²
0 = 4W − 3V/W²
4W = 3V/W²
4W³ = 3V
W = ∛(¾V)
V = 1000 gallons or 133.7 ft³.
W = ∛(¾(133.7 ft³))
W = 4.646 ft
So L = 9.292 ft and H = 3.097 ft.