Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.Learning task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by sending a message on messenger or sms use the table to record the data.
help me pls
nonsense=report
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Please help!!! A phone company offers two long-distance plans. The first charges a flat value of $5.00 per month plus $0.99 for each minute used, and the second charges $10.00 a month plus $0.79 for each minute used.
If x represents the number of minutes used each month, which system of equations represents the total amount of money, y, you would spend for each long-distance plan?
Answer:
C
Step-by-step explanation:
Given y = amount of money spend for the long distance plan per month
and x = minutes used each month
Note these 2 plans are in per month basis.
Plan A: Flat $5 + $0.99 Per min used (variable cost)
transform into an equation:
y = 0.99x + 5
Plan B: Flat $10 + $0.79 per min used (variable cost)
transform into equation:
y = 0.79x + 10
Put these 2 equations together, will give you the answer as C.
In this exercise you'll make a map of Alameda County. First, make sure to load the relevant map packages: library (maps) library (mapproj) a Run the following code to make a map of California with county boundaries. ca <- map_data("county", "ca") ggplot (data = ca, aes (x = long, y = lat, group = group) ) + geom_polygon (fill = "white", color = "black") + coord_map () b The object ca is a data frame that contains the coordinates for the polygons of each county in California. Here is a preview of the first several rows: head (ca) ## long lat group order region subregion ## 1 -121. 4785 37 . 48290 1 california alameda ## 2 -121. 5129 37 . 48290 2 california alameda ## 3 -121.8853 37 . 48290 3 california alameda ##
This code allows you to create a map of Alameda County within the context of California using the "maps" and "ggplot2" packages.
In this exercise, you will create a map of Alameda County in California. To begin, you need to load the necessary map packages by using the commands "library(maps)" and "library(mapproj)".
Next, you can create a map of California with county boundaries by running the provided code. This code uses the "map_data" function from the "maps" package to retrieve the coordinates for the polygons of each county in California. The resulting data frame, called "ca", contains information about the longitude, latitude, group, order, region, and subregion of each county.
To visualize the map, you can use the "ggplot" function from the "ggplot2" package. This function takes the "ca" data frame as input and maps the longitude and latitude coordinates to the x and y axes, respectively. The "group" parameter ensures that each county is represented as a separate polygon. The "geom_polygon" function is used to draw the polygons, with the "fill" parameter set to "white" and the "color" parameter set to "black" to create a black and white map. The "coord_map" function is then used to adjust the aspect ratio and projection of the map.
By running this code, you will obtain a map of California with county boundaries. The "ca" data frame contains additional information about each county, such as the region and subregion. You can preview the first few rows of this data frame using the "head" function.
Overall, this code allows you to create a map of Alameda County within the context of California using the "maps" and "ggplot2" packages.
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6. What is the perimeter of the trapezoid if x = 9 and y = -3? Round to the nearest whole number.
x2 + 3y
3(x + Ey)2
3
(x + y)?
X-5y
-2y
310
292
Ο Ο Ο Ο
940
289
What time is time where you are at???
Answer:
3:22am :(
Step-by-step explanation:
b) Show that the bus stop lies on the road
can some answer b please
Answer:
Step-by-step explanation:
Step-by-step explanation:
to show that you have to plot these points on graph and you will find that bus stop lies at the line joining the two villages. ... and then it is proved. ..
plz mark my answer as brainlist plzzzz vote me also if it helps you plz. ...
What is the derivative of 2√x ?
Answer:
\(\frac{1}{\sqrt{x}}\)
Step-by-step explanation:
\(2\sqrt{x}=2x^{1/2} \\ \\ \frac{d}{dx}(2x^{1/2})=x^{-1/2} \\ \\ =\frac{1}{\sqrt{x}}\)
Complete the steps to simplify ^5 square root of 4 * square root of 2
Rewrite using rational exponents.
Answer:
2^(2/5) * 2^½ => first option
Step-by-step explanation:
^5√4 * √2 = ^5√2² * √2
= 2^(2/5) * 2^½ => first option
The expression can be written as \((4)^\frac{1}{5}\times(2)^\frac{1}{2}\). The correct option is C.
What is an expression?The symbol " that expresses a number's root is known as radical, and it is read as x radical n or the nth root of x. The horizontal line that surrounds the number is known as the vinculum, and the number beneath it is known as the radicand. The index or degree is the number n written before the radical.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is ⁵√4 x√2. The expression can be written as:-
E = ⁵√4 x√2
\(E = (4)^\frac{1}{5}\times(2)^\frac{1}{2}\)
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Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x)
The area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13-x).
What is rectangle?A rectangle is really a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal & parallel. Because rectangles is a 2-D form, it has two dimensions: length and width.
Some characteristics of rectangle are-
The length of the rectangle is the longer side, while the width would be the shorter side.Because all of the angles in a rectangle are equal, it is also known as an equiangular quadrilateral. The quadrilateral is a closed 4-sided shape.Since a rectangle contains parallel sides, it is also known as a right-angled parallelogram. The parallelogram would be a quadrilateral with equal and parallel opposite sides. Rectangles are a type of parallelogram.Now, according to the question,
Let 'P' be the perimeter of the rectangle.
Perimeter = 2(Length + Breadth)
P = 2(L + B)
The perimeter is 26 meters.
26 = 2(L + B)
L + B = 13
B = 13 - L
Now, the area of the rectangle is given as;
Area = Length×Breadth
A = L×B
Substitute the value of B in area.
A = L×(13 - L)
Area in terms of length x, Put L =x
A(x) = x(13 - x)
Therefore, the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13 - x).
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How many five-digit natural numbers are there such that the leftmost digit is odd, the second digit is even, and all five digits are different
There are 6,720 five-digit natural numbers that satisfy the given conditions.
First, we need to choose the leftmost digit which can be any odd digit from 1,3,5,7,9. This can be done in 5 ways.
Then we need to choose the second digit, which can be any even digit from 0,2,4,6,8, except the digit we already chose for the first place. This can be done in 4 ways.
For the third digit, we have 8 remaining digits (since we have used 2 digits already), out of which we can choose any one, giving us 8 choices.
Similarly, for the fourth digit, we have 7 remaining digits to choose from, and for the last digit, we have 6 remaining digits.
Therefore, the total number of such five-digit numbers is given by:
5 × 4 × 8 × 7 × 6 = 6,720
So there are 6,720 five-digit natural numbers that satisfy the given conditions.
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PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards
Note that this is still a rectangle, and the length of the fencing is still 600 ft.
So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.
This makes the two equations: 2x + y = 600, and A = xy.
To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.
y = 600 - 2x. and A(x) = x(600-2x)
We now need to maximize A(x) = 600x - 2x2.
Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.
So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.
So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2
I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.
Through any two points there is exactly one______
It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,
Answer:
\(k=\dfrac{5}{4}\)
Step-by-step explanation:
Given that,
y varies directly as x. It means,
y = kx
Where
k is the constant of variation
or
\(k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}\)
So, the constant of variation is \(\dfrac{5}{4}\).
Write aprogram to read the values of the variables X and n and Calculate and print the value of y defined y′=x+cosx+5tan−1x if n<0 y=(x−sinx)^2−sin2x if n=0 y=(x+e2x+sin(x−1.5))^2 if n>0
The given problem requires the solution of the defined function based on the values of the given input parameters in the if else condition.
So, we need to write a program that reads the values of the variables X and n and calculates and prints the value of y, which is defined as follows:
\(y′=x+cosx+5tan−1x if n<0\)
\(y=(x−sinx)^2−sin2x\)if
\(n=0 y=(x+e2x+sin(x−1.5))^2\) if n>0Let's create a Python program to solve the given problem. In Python, we use the if...elif...else statement to execute different blocks of code based on different conditions. Here's the solution:Python Program
:x = int(input("Enter the value of x: "))
n = int(input("Enter the value of n: "))
if n < 0:y = x + cos(x) + 5 * tan(x)
elif n == 0:
y = (x - sin(x)) ** 2 - sin(2 * x)
else:y = \((x + e ** (2 * x) + sin(x - 1.5))\)
** 2print("The value of y is", y)
In the above Python program, we first read the values of the input parameters x and n using the input() function. Then we use the if...elif...else statement to execute different blocks of code based on the value of n. If n is less than 0, we calculate the value of y using the formula\(y′=x+cosx+5tan−1x\). If n is equal to 0, we calculate the value of y using the formula y\(=(x−sinx)^2−sin2x.\)
And, if n is greater than 0, we calculate the value of y using the formula\(y=(x+e2x+sin(x−1.5))^2\). Finally, we print the value of y using the print() function.I hope this helps.
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Find the area under the standard normal curve to the left of z=−1.5 z = − 1.5 and to the right of z=−1.1 z = − 1.1 . Round your answer to four decimal places, if necessary.
The task is to find the area under the standard normal curve to the left of z = -1.5 and to the right of z = -1.1, rounded to four decimal places.
The area under the standard normal curve represents the probability of a random variable being less than or greater than a certain value. To find the area to the left of z = -1.5, we can look up the corresponding cumulative probability in the standard normal distribution table or use statistical software.
Similarly, to find the area to the right of z = -1.1, we can calculate 1 minus the cumulative probability to the left of -1.1. By subtracting the area to the right from the area to the left, we can determine the desired area under the standard normal curve.
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The answer to the question. And what is the variance of the ages?
Let the age of students in a certain public high school be x;
So, we create a table of values as follows;
First, we fine the mean of the distribution, we have;
\(\begin{gathered} \mu=\sum ^{}_{}x\cdot P(x) \\ \mu=1.04+3.64+3.45+4.16+2.38+0.54 \\ \mu=15.21 \end{gathered}\)Thus, the standard deviation of the distribution is;
\(\sigma=\sqrt[]{\sum^{}_{}(x_i-\mu)^2\times P(x_i)}\)Then, we will insert the deviation in the table above,
Then, we have;
\(\sum ^{}_{}(x_i-\mu)^2\times P(x_i)=1.6259\)\(\begin{gathered} \sigma=\sqrt[]{1.6259} \\ \sigma=1.2751 \end{gathered}\)The standard deviation of the ages is 1.2751
Also, the variance is;
The variance is the square of standard deviation, we have;
\(\begin{gathered} \sigma^2=(1.2751)^2 \\ \sigma^2=1.6259 \end{gathered}\)Thus, the variance of the ages is 1.6259
The quotient of five less than a number and six, is -4
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
Who know how to do this??
Answer:
Step-by-step explanation:
With some research I found that the medians (QK, RJ, and SI) are broken into 2:1 ratios.
So what this means is that QD is twice as long as DK.
QD = 2DK
QD = 2 * 6.5
QD = 13
The body moves with the speed v=5t^2-2t+2. What is its speed at the moment when the acceleration is zero?
Answer:
1.8m/s
Step-by-step explanation:
Given:
speed;
v = 5t² - 2t + 2 ---------------(i)
(i) First, find the acceleration a by differentiating the speed equation in equation (i) with respect to t as follows;
a = \(\frac{dv}{dt}\)
a = \(\frac{d}{dt} [5t^2 - 2t + 2]\)
a = 10t - 2 ---------------------(ii)
(ii) Next, find the moment (time) when the acceleration is zero. This is done by substituting a = 0 into equation(ii) as follows;
0 = 10t - 2
Solve for t
10t = 2
t = 2 / 10 = 0.2
Therefore, at t = 0.2s, the acceleration is zero.
(iii) Now, find the velocity at time t = 0.2s when the acceleration is zero. This is done by substituting the value of t = 0.2s into equation (i) as follows;
v = 5(0.2)² - 2(0.2) + 2
v = 0.2 - 0.4 + 2
v = 1.8
Therefore, the speed at the moment when acceleration is zero is 1.8m/s
NB: Since the units of measurement are not given, the S.I units are used. Hence m/s for speed.
4\(\sqrt{-5^2-3^2\\}\)
8 ( x+ 7 ) = - 24 solve for x
Answer:
21
Step-by-step explanation:
Please help me !! Find the missing length indicated.
Answer:
Step-by-step explanation:
use the law of Cosines so that you can solve a SSS triangle
Cos(C) = \(a^{2}\) + \(b^{2}\) - \(c^{2}\) / 2ab
c is the side of 24 for our triangle and angle C is the top one in the picture.
C = arcCos ( \(a^{2}\) + \(b^{2}\) - \(c^{2}\) / 2ab )
C = arcCos ( -32 / 480 )
C = 93.82255373 °
the angles at the top are each half of that or 46.91127 °
let's solve another angle for the big triangle now let's go for the one on the left and call it A
Cos(A) = \(c^{2}\) + \(b^{2}\) - \(a^{2}\) / 2bc where a = 20
A = arcCos( \(c^{2}\) + \(b^{2}\) - \(a^{2}\) / 2bc)
A = arcCos( \(24^{2}\) + \(12^{2}\) - \(20^{2}\) / 2*12*24
A = arcCos(320 / 576)
A = 56.2510 °
then angle B is 180 =93.823 + 56.251 + B
29.926 ° = B
so now we know all 3 angles.. seems like a lot of work , huh :D
for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side :)
Sin(A)/a = Sin(B) /b where A can be the angle at the top and B can be the angle at the base. which we have to find still :/
it's 180 = 46.9112 + 29.926 + B
103.162 = B
Sin(46.91127 ) / a = Sin(103.162) /20
Sin(46.91127 ) * 20 / Sin(103.162) = a
14.99998 = a I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..
? = 15 there you go
your answer is 15
What is the solution y 2 3x 3 x =- 2?
The solution of the equation y = (2/3)x + 3 is 5/3
The given equation is
y = (2/3)x + 3
The slope of the line is the change in y coordinates with respect to the change in x coordinates.
This is the linear equation in the the slope intercept form
y = mx + b
Where m is the slope of the line
b is the y intercept
y is the y coordinates
x is the x coordinates
The value of x = -2
Substitute the value of x in the equation
y = (2/3) × -2 + 3
Do the arithmetic operations
= -4/3 + 3
Add the numbers
= 5/3
Therefore, the solution is 5/3
I have solved the question in general, as the given question is incomplete
The complete question is:
What is the solution of the equation y = (2/3)x + 3x, when x = -2?
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Can someone make up an equation for this answer
What is the domain of the function in the graph?
A. 4≤y≤6
B. 20≤y≤70
C. 4≤x≤6
D. 20≤x≤70
Answer:
C. 4≤x≤6
Step-by-step explanation:
First things first, let’s learn the difference between domain and range. Domain is the spread of the x values and range is the spread of the y values. This means that in this question, you can rule out options A and B because those could potentially show range. Now we are left with options C and D. When we look at the first x coordinate, we see that it’s a 4. The last x coordinate is a 6. This means that the domain is greater than or equal to 4, but less than or equal to 6. You can also represent it as 4≤x≤6.
Hope that helps! Have a fantastic day!
Convert to standard form: y=-7x/2-3
Answer:
7x + 2y = −6
Step-by-step explanation:
A system of equations has no solution. if y = 8x 7 is one of the equations, which could be the other equation? 2y = 16x 14 y = 8x – 7 y = –8x 7 2y = −16x − 14
A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The first equation is given as:
y = 8x + 7
The equations in the system would have different constant values if the system of equations had no solution.
y=8x+b
Where:
b is a variable that is not equal to 7.
The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.
Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.
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Answer:
B
Step-by-step explanation:
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
2y = 16x +14
y = 8x – 7
y = –8x + 7
2y = −16x − 14
A researcher measures the relationship between two variables, X and Y. If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then what is the value of the correlation coefficient?
A) 0.32
B) 0.34
C) 0.60
D) almost a zero correlation
The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
Given that a researcher measures the relationship between two variables, X and Y.
If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.
Correlation coefficient:
The correlation coefficient is a statistical measure that determines the degree of association between two variables.
It is denoted by the symbol ‘r’.
The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.
How to calculate correlation coefficient?
The formula to calculate the correlation coefficient is as follows:
r = SS(XY)/√[SS(X)SS(Y)]
Now, substitute the given values, we get:
r = 340/√[320000]r = 0.34
Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
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What is the unit rate? $101.25 earned in 9 hours
Answer:
$11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
Divide $101.25 by 9
11.25
So $11.25 were earned each hour.
Hope this helps :)
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