rewrite the equation in standard form 2x^2=5x+6
Answers
Answer:
rewrite the equation in standard form 2x^2=5x+6
2\(x^{2}\)+5x-6=0
Step-by-step explanation:
Write in A, B, C = 0
you need to move everything on the left of equal sign to the right.
Easiest way is to switch negatives and positives.
2\(x^{2}\)-5x = +6
subtract 5x from right to add to left.
2 \(x^{2}\)-5x = +6
now subtract 6 from right and add to left
2 \(x^{2}\) -5x -6 = 0
don't forget the zero on the right side because you did the opposite to get rid of it which means it's 0 on the right.
Related Questions
the ratio of the number of boys to girls at a party is 3:4 six boys leaved the party the ratio of the number of boys to girls at the party is now 5:8 work out the number of girls
Answers
Answer:
The boys are 36, the girls 48
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
Answers
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
3 more than the quotient of 18 and x
Answers
Answer:
18/x + 3
Step-by-step explanation:
This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation
you have 4 quarters and 3 dimes in your pocket. you draw two out at random. what is the expected value of the coins in cents that you draw
Answers
Answer: 35 or 50
Step-by-step explanation: This one actually has 2 answers. On the first draw, you are most likely to draw a quarter. On the second draw, you have and equal probability of drawing either a dime or a quarter. That is, if you do not replace the first coin. If you do, the answer is 50 cents.
Find the absolute maximum and minimum values of the following function on the given set R. f(x, y) = x^2 + y^2 - 2y + 1; R = {(x, y) x^2 + y^2 lessthanorequalto 16} What is the absolute maximum value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice The absolute maximum value is (simplify your answer) There is no absolute maximum value.
Answers
The correct choice is that the absolute maximum value is 25.
To find the absolute maximum and minimum values of the function f(x,y) = \(x^2 + y^2\)- 2y + 1 on the set R = {(x, y) |\(x^2 + y^2 ≤ 16\)}, we need to look for critical points and boundary points.
First, we find the critical points by setting the partial derivatives of f(x,y) with respect to x and y equal to zero:
∂f/∂x = 2x = 0
∂f/∂y = 2y - 2 = 0
Solving these equations simultaneously gives us the critical point (0,1).
Now, we look at the boundary of the set R, which is the circle centered at the origin with radius 4. We can parameterize this circle using polar coordinates:
x = 4cosθ
y = 4sinθ
Substituting these values into f(x,y), we get:
f(θ) =\(16cos^2θ\) + \(16sin^2θ\) - 8sinθ + 1
= 17 - 8sinθ
To find the maximum and minimum values of f(θ), we can take its derivative:
df/dθ = -8cosθ
Setting df/dθ = 0 gives us cosθ = 0, which has solutions θ = π/2 and θ = 3π/2. Therefore, the maximum value of f(θ) occurs at θ = π/2 or θ = 3π/2, and is:
f(π/2) = 17 + 8 = 25
Similarly, the minimum value of f(θ) occurs at θ = π/2 + π = 3π/2, and is:
f(3π/2) = 17 - 8 = 9
Comparing these values to the value of f at the critical point, f(0,1) = \(0^2\)+ \(1^2 - 2(1)\)+ 1 = 0, we see that the absolute maximum value of f(x,y) on the set R is 25, and the absolute minimum value is 0.
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Marcus makes $30 an hour working on cars with his uncle. If y represents the money Marcus has earned for working x hours, write an equation that represents this situation.
Answers
Answer: y = 30x
Hence, The Equation Representing the money that MARCUS EARNS for WORKING (X) HOURS is: y = 30x
Step-by-step explanation:MAKE A PLAN:
We need to find the Equation that represents the money MARCUS EARNS based on the number of hours he works.
Y represents the money that MARCUS EARNED in X HOURS
Now, Y = 30x
SOLVE THE PROBLEM:In an Hour MARCUS makes:
$30.00
In X HOURS MARCUS makes:30 * X
(1) - WRITE THE EQUATIONY represents the money that MARCUS EARNED in X HOURS
Y = 30x
DRAW THE CONCLUSION:Hence, The Equation Representing the money that MARCUS EARNS for WORKING (X) HOURS is: y = 30x
I hope this helps you!
find the se and ge properties given two corners of the auxiliary rectangle(3,2) and (-1,16) and transverse axis is in the vertical axis
Answers
The standard equation (SE) of the ellipse is \((x - 1)^2/49 + (y - 9)^2/4 = 1,\)and the general equation (GE) is\((x - 1)^2/49 + (y - 9)^2/4\)= \(r^2,\) where (1, 9) is the center, 7 is the semi-major axis, and 2 is the semi-minor axis.
To determine the standard equation (SE) and general equation (GE) properties of an ellipse given the two corners of the auxiliary rectangle and a vertical transverse axis, we can follow these steps:
1. Find the coordinates of the center of the ellipse:
The center of the ellipse is located at the midpoint of the diagonal of the auxiliary rectangle. Given the corners (3,2) and (-1,16), we can find the center as follows:
Center = ((3 + (-1))/2, (2 + 16)/2) = (1, 9)
2. Find the lengths of the major and minor axes:
The length of the major axis is the distance between the two corners along the vertical axis, which is 16 - 2 = 14.
The length of the minor axis is the distance between the two corners along the horizontal axis, which is 3 - (-1) = 4.
3. Determine the semi-major axis (a) and semi-minor axis (b):
The semi-major axis (a) is half the length of the major axis, which is 14/2 = 7.
The semi-minor axis (b) is half the length of the minor axis, which is 4/2 = 2.
4. Write the SE and GE equations of the ellipse:
SE: \((x - h)^2/a^2 + (y - k)^2/b^2 = 1\)
GE: \((x - h)^2/a^2 + (y - k)^2/b^2 = r^2\)
Using the center coordinates (h, k) = (1, 9) and the semi-axes lengths a = 7 and b = 2, the SE and GE equations become:
SE:\((x - 1)^2/7^2 + (y - 9)^2/2^2 = 1\)
GE:\((x - 1)^2/7^2 + (y - 9)^2/2^2 = r^2\)
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find the standard equation and general equation properties given two corners of the auxiliary rectangle(3,2) and (-1,16) and transverse axis is in the vertical axis
Each bracelet needs 1 and ¾ feet of yarn. How many complete bracelets can be made from a piece of yar that is 9 and ½ feet long?
Answers
Answer:
56
Step-by-step explanation
3/4 x 1/2 =3/12 this aint right btw
ughhhh 5x+6 x=3
im over this
Answers
Explanation:
5x3=15
15+6=21
14(4j – 15) > ‐25j + 33 PLS HELP I NEED ANSWERS
could u also look at my other question ty ILL GIVE U BRAINLIEST AND 20 POINTS
Answers
Answer:
j > 3 hope this helps =)
what is the equivalent expression of 0.5%
Answers
Answer:
0.005
Step-by-step explanation:
\(0.5 \% \: = \frac{0.5}{100} = 0.005\)
Is the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer. (2 points) a The line is horizontal. The slope is 0. b The line is horizontal. The slope is 1. c The line is vertical. The slope is undefined. d The line is vertical. The slope is 0.
Answers
Answer:
The answer is the option A
The line is horizontal. The slope is
Step-by-step explanation:
we know that
The slope of the line parallel to the x-axis is equal to zero and is called a horizontal line
The slope of the line parallel to the y-axis is undefined and is called a vertical line
In this problem we have
This is a line parallel to the x-axis
therefore
Is a horizontal line with slope equal to zero
A rectangular piece of cardboard has a width of x and a length of y. When 15
centimeters is trimmed from the width and 25 centimeters is trimmed from the length,
which expressions describe the remaining piece of cardboard?
Classify each expression below according to whether it represents the perimeter, area, or
neither of these
Answers
Answer:
Step-by-step explanation:
Initial length of the cardboard was y cm, and width was x cm.
The new dimensions are:
length = (y - 25) cm
width = (x - 15) cm
Area of the new rectangle = length x width
= (y - 25) x (x - 15)
= (y - 25) (x - 15) \(cm^{2}\)
Perimeter = 2 ( length + width)
= 2 ((y - 25) + (x - 15))
= 2(y - 25) + 2(x - 15)
Therefore:
2(x + y) - 40 is neither of these
2(x - 15) + 2(y - 25) is the perimeter
(x - 15)(y - 25) is the area
(x - 25)(y - 15) is neither of these
2(x - 15)(y - 25) is neither of these
2x + 2y - 80 is the perimeter
xy - 375 is neither of these
x + y - 40 is neither of these
Sara has 3.75 bags of gravel for her driveway project. Each bag of gravel will cover 125.3 square feet How many square feet will Sara be able to cover if she uses all these bags of gravel? AT469.875 ft? B 375.225 ft? C 407.225 ft2 D 418.502 ft2
Answers
Answer:
469.875
Step-by-step explanation:
Just multiply 3.5 by 125.3
A man needed to sell a car. He priced it at $2,700 the first day. The second day he reduced the price by 12%. What was the price of the car after this reduction?
Answers
After reducing the price by 12%, the price of the car would be $2,376. To find the price of the car after a 12% reduction, we can calculate 12% of the original price and subtract it from the original price.
To find the price of the car after the 12% reduction, we need to calculate 12% of $2,700 and subtract that amount from the original price. First, we find 12% of $2,700 by multiplying 0.12 (12% expressed as a decimal) by $2,700:
12% of $2,700 = 0.12 * $2,700 = $324
Next, we subtract $324 from the original price of $2,700:
$2,700 - $324 = $2,376
Therefore, after the 12% reduction, the price of the car would be $2,376. This reduction reflects a decrease in price from the original value, providing potential buyers with a discounted price for the car.
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n the library of a small town, the mean cost of new books is the same as the median cost of new books. the distribution of book costs is: multiple choice question. negatively skewed symmetrically distributed positively skewed
Answers
If the mean cost of new books is the same as the median cost of new books, then the distribution of book costs is symmetrically distributed.
This means that the data is evenly distributed around the mean and median, and there are an equal number of values on both sides of the central point. In a symmetric distribution, the mean and median are the same, and the data is evenly spread out around them.
A negatively skewed distribution would have a longer tail on the left side, indicating that the majority of the values are higher. A positively skewed distribution would have a longer tail on the right side, indicating that the majority of the values are lower.
A symmetric distribution, on the other hand, has no long tail on either side, and the majority of the values cluster around the central point. Therefore, the distribution of book costs is symmetrically distributed.
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HELP!!!!!! Apply the distributive property to create an equivalent expression. 1/5 (15+10k) (7th grade)
Answers
Answer:
3 + 2k
Step-by-step explanation:
1/5 (15+10k)
1/5 * 15 + 1/5 * 10k
3 + 2k
Answer:
3+2k
Step-by-step explanation:
We can apply the distributive property to the expression 1/5(15 + 10k):
1/5(15 + 10k)
= (1/5)(15) + (1/5)(10k)
= 3 + 2k
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)
40
77
4,096
9,317
Answers
Step-by-step explanation:
a leather store performs an observational survey of women walking through a mall. there were 30 women that walked by in an hour. of those women, 18 were carrying purses, 12 were wearing belts, and 6 were both carrying purses and wearing belts. what is the probability that a woman was wearing a belt, given that the woman was also carrying a purse?
Answers
The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.
To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.
We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.
This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.
First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.
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Which equation matches the graph and table?
Answers
Answer:
y = 1040x
Step-by-step explanation:
Find the area. Round your answer to the
nearest tenth.
1.
3.
3 m
18 in.
2.
4.
25 ft
(Just the two bottom ones)
Answers
a) The area of the first circle is approximately 254.34 square inches
b) The area of the second circle is approximately 70650 square inches.
a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:
r = 18/2 = 9 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 9² = 254.34 square inches
Therefore, the area of the first circle is approximately 254.34 square inches.
b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:
25 feet = 25 x 12 inches = 300 inches
Then we can find the radius by dividing by 2:
r = 300/2 = 150 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 150² = 70650 square inches
Therefore, the area of the second circle is approximately 70650 square inches.
Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.
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Can someone plz help me with this one problem!!!
Answers
Answer:
Add all the given side lengths:
1 + 16 + 16 + 4 = 37!
A completely full spherical hot air balloon with a radius of 9 meters is being deflated at a rate of 22 cubic meters per minute. How much time must elapse for the balloon to be completely deflated? Use the volume formula and 3.14 for π .
Answers
Answer:
138 minutes
Step-by-step explanation:
because i said so
A redwood tree can grow 12 feet in 2 years. How many feet will it grow in 3 years?
Answers
Answer:
18 feet
Step-by-step explanation:
12/2 is 6
6*3= 18
NEED HELP shouldn’t take to long :)
Answers
2. Obtuse
3. Isosceles
4. Equilateral
5. Acute
6. Scalene
Given f(x)= square root x and g(x) = lxl, which is the graph of (fog)(x)
Answers
Answer:
drawing the graph of \(f(g(x))=\sqrt{|x|}\)
The graph is attached in the images below.
Option A is correct option.
Step-by-step explanation:
We are given:
\(f(x)=\sqrt{x}\) and \(g(x)=|x|\)
We need to find graph of (fog)(x)
We know that (fog)(x)= f(g(x))
Placing x=g(x) i,e x=|x|
\((fog)(x)= f(g(x))\\f(g(x))=\sqrt{|x|}\)
Now, drawing the graph of \(f(g(x))=\sqrt{|x|}\)
The graph is attached in the images below.
Option A is correct option.
Answer:
The first graph
Step-by-step explanation:
A on edge
HELP FASTT PLEASE
An account earns annual simple interest. Find the balance of the account. $2000 at 9% for 6 months
Answers
Answer:
2000 × 9% × 6/12 = 90
2000+90 =2090
Factor the following: 25x^2 + 30x = 0
Answers
Answer:
= 0
= − 6 /5
Step-by-step explanation:
You can use the quadratic formula or just factor it.
Find the Common factor
rewrite in factored form
Create separate equations
then solve
Answer
5x(5x+6)=0
Step-by-step explanation:
Factor 5x out of 25x^2+30x
Guys please help asap i don't want to fail
Consider the sequence shown.
Answers
Answer:
The answer is option D
Step-by-step explanation:
f (n)=-2. (-5)^n-1. Jesus loves you
James wants to tile his floor using tiles in the shape of a trapezoid to make the pattern a little more interesting he has decided to cut the tiles in half along the median to top base of each time is 12 inches in length and turn bottom base is 16 inches
Answers
Answer: 14 inches
Step-by-step explanation:
Given the following :
James wants to cut a floor tile in the shape of a trapezium with the following dimension :
Top base = 12 inches
Bottom base = 16 inches
To obtain the medan, we take the average of the two bases :
(top base + bottom base) / 2
(12 inches + 16 inches) / 2
28 inches / 2
= 14 inches.