An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,
x< -500
Hence, the expression that represents losing more than 500 points is x<-500.
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6. Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20,
(b) x2 - 4x - 20,
(c) x2 - x - 20,
(d) x2 + x - 20.
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.
Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the flight distance is partitioned in a ratio of 3:1, hence:
L - Nv = 3/4(Ny - Nv).
This ratio is applied for both coordinates, hence, for the x-coordinate:
[tex]x + 4 = \frac{3}/{4}(5 + 4)[/tex]
[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]
[tex]x = \frac{11}{4}[/tex]
x = 2.75.
For the y-coordinate:
[tex]y = \frac{3}/{4}(2 - 0)[/tex]
[tex]y = \frac{6}{4}[/tex]
x = 1.5.
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1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function sx equals 102. he is able to do work around the neighborhood to earn extra money that the function would be a x equals eight times x +2 where x is measured in hours. explain how james can we create a function to combine the two and describe any simplification that can be done
In the scenario above, James can we create a function to combine the two by f ( x ) = 8 x + 118.
What is the simplification about?In the question above, to be able to create a function, we have to show that;
s ( x ) = 102
a ( x ) = 8 ( x + 2 )
So, a function that combines the two will be:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
Therefore f ( x ) = 8 x + 118
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What is the area of the base of the prism?
1 square centimeters
what is the volume of the prism?
cubic centimeters
The base area of the prism is 36 square centimeters and the volume of the prism is 288 cubic centimeters
How to determine the base area?The base area is calculated as:
Base area =Length * Width
From the complete question (see attachment), we have:
Length = 12
Width = 3
So, we have:
Base area = 12 * 3
Base area = 36
How to determine the volume?The volume is calculated as:
Volume = Base area * Height
So, we have:
Volume = 36 * 8
Evaluate
Volume = 288
Hence, the volume of the prism is 288 cubic centimeters
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Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
[tex]x = 2, y = -1[/tex]
Step-by-step explanation:
We can add the 2 equations together to solve for y.
[tex](-3x + 5y) + (3x + 7y) = (-11) + (-1)\\-3x + 3x + 5y + 7y = -11 -1\\12y = -12\\y = -1[/tex]
Now we can solve for x by substituting y in one of the original equations.
[tex]3x + 7y = -1\\3x + 7(-1) = -1\\3x - 7 = -1\\3x = 6\\x = 2[/tex]
Those are the answers
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Given (x – 1)2 = 50, select the values of x.
Answer:
[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]
Step-by-step explanation:
[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]
You have a 3-gallon and a 5-gallon jug that you can fill from a fountain of water. The problem is to fill one of the jugs with exactly 4 gallons of water. How do you do it?
Answer:
See below
Step-by-step explanation:
Fill the 5 and pour into the 3 ....this will leave 2 gal in the 5 bucket
empty the 3 bucket and put that 2 gallon in to it.....
then fill the 5 bucket again......pour 1 gallon into the 3 gallon bucket to fill it....then there will be 4 gallons left in the 5 bucket
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
What are quotients?Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
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(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
How to calculate the area of a regular polygon?Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Note: The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
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guys help just with part b for number 2!
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
algebra 2 pls help lol
Answer:
right -2down 2reflected in the y-axiscompressed by a factor of 1/2Step-by-step explanation:
The order of the transformations affects the values used for translation. Here, the translation is described before the reflection and compression.
__
reflectionThe grayed-out graph of the square root function opens to the right. The darker graph of the transformed function opens to the left, so the reflection is across the y-axis.
__
compressionThe square root function goes through the point (1, 1), that is, 1 unit right of the vertex, and 1 unit up. The transformed function goes through the point (1, -1/2), that is, 1 unit left of the vertex and 1/2 unit up. The vertical height of 1 unit on the original graph is compressed to a height of 1/2 unit on the transformed graph. Vertical compression is by a factor of 1/2.
__
translationThe description of the transformation gives the translation before the reflection and compression. So, to find where the uncompressed and unreflected vertex is, we need to reverse those transformations.
Expanding the transformed square root graph by a factor of 2 will undo its compression by a factor of 1/2. That will move the vertex from (2, -1) to (2, 2×(-1)) = (2, -2).
Reflecting this expanded function back across the y-axis will undo the original reflection. That moves the vertex from (2, -2) to (-2, -2). This is where the original translation left the function's vertex before the reflection and compression moved it to the location shown.
The translation is right -2 and down 2.
_____
Additional comment
It is possible that you will get pushback on these answers. If so, you should have your teacher demonstrate the transformations in the order described.
__
In the order described, we have ...
[tex]f(x)=\sqrt{x}\\\\f_1(x)=\sqrt{x-(-2)}=\sqrt{x+2}\qquad\text{translation right -2}\\\\f_2(x)=\sqrt{x+2}-2\qquad\text{translation down 2}\\\\f_3(x)=\sqrt{-x+2}-2\qquad\text{reflection in the y-axis}\\\\g(x)=\dfrac{1}{2}(\sqrt{-x+2}-2)\qquad\text{compression vertically by $\dfrac{1}{2}$}[/tex]
The attached graph shows the result of this sequence of transformations.
__
If the reflection and compression were done before the translation, then the translation would be 2 right and 1 down.
Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
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Answer:
Step-by-step explanation:
3
39
39
If = 152°, what is m∠ABC? 152° 38° 76° 104°
The value of ABC when AC is given as 152 will be 76°.
How to calculate the angle?It should be noted that the angles that are opposite to equal sides are equal and that the angle sum property of triangle is 180°.
In this case, (2 × ABC) = 152°
2ABC = 152°
ABC = 152°/2
ABC = 76°
In conclusion, the correct option is C.
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can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?
Answer:
8x+19=9x+9
Step-by-step explanation:
Simplifying
(8x + 19) = (9x + 9)
Reorder the terms:
(19 + 8x) = (9x + 9)
Remove parenthesis around (19 + 8x)
19 + 8x = (9x + 9)
Reorder the terms:
19 + 8x = (9 + 9x)
Remove parenthesis around (9 + 9x)
19 + 8x = 9 + 9x
Solving
19 + 8x = 9 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
19 + 8x + -9x = 9 + 9x + -9x
Combine like terms: 8x + -9x = -1x
19 + -1x = 9 + 9x + -9x
Combine like terms: 9x + -9x = 0
19 + -1x = 9 + 0
19 + -1x = 9
Add '-19' to each side of the equation.
19 + -19 + -1x = 9 + -19
Combine like terms: 19 + -19 = 0
0 + -1x = 9 + -19
-1x = 9 + -19
Combine like terms: 9 + -19 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10
Answer:
x = 10Step-by-step explanation:
they are opposite angles, therefore congruentwe solve with an equation8x + 19 = 9x +9
19 - 9 = 9x - 8x
10 = 1x
x = 10
check
-------------------
8 * 10 + 19 = 9 * 10 + 9
80 + 19 = 90 + 9
99 = 99
the answer is good
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
How to find the surface area of a hexagon?
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
pls help me pls it's my homework
Answer:
i think its just water bro
4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C
Which rule describes the relationship between the x- and y-coordinates in the following table?
Y
1
6
4
15
6
21
Choose 1 answer:
A
Multiply by 6 to get y.
B
Multiply by 3. Then add 3 to the result to get y.
8
Answer: B
Step-by-step explanation:
We will test the options and see if they apply to the given values.
[A] ✗
1 * 6 = 6 ✓
4 * 6 ≠ 15✗
[B] ✓
1 * 3 = 3, 3 + 3 = 6 ✓
4 * 3 = 12, 12 + 3 = 15 ✓
6 * 3 = 18, 18 + 3 = 21 ✓
[C] ✗
1 * 8 = 8, 8 - 2 = 6 ✓
4 * 8 = 32, 32 - 2 = 30, 30 ≠ 15 ✗
This table displays the market share in percent of four companies.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?
A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
How do you set the vertical axis of a Bar Chart?In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
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Answer:
A
Step-by-step explanation:
i think i can be wrong
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
options.
X
-120
27
-110
2
y
-100 -95 -90
27 227627
х
- 120
-110
27
y
2
100
27
-95
227
-90
627
х -120
y 627
-110
227
-100
27
-95
2
-90
27
х
y
627 227 27
-120 -110-100
2
-95
27
-90
627
227
y -90-110
27
-100
2 27
- 110 -120
Mark this and return
Save and Exit
Next
Submit
Based on the tables given and the functions represented, the two functions that are inverses of each other are Tables 3 and 4.
Which functions are inverses of each other?When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.
For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).
The functions that are inverses are therefore Tables 3 and 4 as shown attached.
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What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
0162 √3
0162
081 √6
018 √3
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
What is a Rhombus ?A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
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hi can someone help me
Step-by-step explanation:
mean value is always the sum of all data divided by the number of data points.
we can see just by looking at the numbers that team B is way below team A.
mean team A : 1529/8 = 191.125
mean team B : 1141/8 = 142.625
so, clearly, team B had to make dinner.
the median is the value of all the data points, where half of the others are smaller, and the other half are bigger.
in case of an even number of data points (like here with 8), we find the 2 middle values and calculate the mean value of these 2 :
median team A : (180+189)/2 = 184.5
median team B : (143+134)/2 = 138.5
the mode is the number in the set of data that occurred must often. if they are all unique, then they ALL are the mode. it is NOT 0 or empty. it is then really all the data points.
mode team A : 212
mode team B : 99, 102, 105, 134, 143, 145, 202, 211
Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm.
please help me! will give the brainliest answer!
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
I'm confused I got an answer but got it wrong help please.
Answer:
[tex]y = \frac{2}{3}x -6[/tex]
Step-by-step explanation:
I'm just gonna assume you want the equation of the line
Standard slope-intercept form is [tex]y=mx+b[/tex] with [tex]m[/tex] being the slope [tex]\frac{rise}{run}[/tex] (aka [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]) and [tex]b[/tex] being the y-intercept (the point where the line crosses the y-axis)
First we will find the slope using the 2 points on the line.
[tex]\frac{-2 - (-4)}{6-3} = \frac{2}{3}[/tex]
This means our slope ([tex]m[/tex]) is [tex]\frac{2}{3}[/tex].
Next we can find our y-intercept. The line crosses the y-axis at [tex](0, -6)[/tex] meaning the y-intercept ([tex]b[/tex]) is -6.
Finally we can plug in our values and find the equation of the line.
[tex]y = \frac{2}{3}x -6[/tex]
That might be the answer (i don't know the question)
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