For the following function, create a tableof values and graph the function, includingall the integer solutions that fit on the grid.y = -2x
Answers
ANSWER
STEP BY STEP EXPLANATION
we are given y = -2x
Let's create a table of values with x = -2, -1, 0, 1, 2
when x = -2, y = -2(-2) = 4
when x = -1, y = -2(-1) = 2
when x = 0, y = -2(0) = 0
when x = 1, y = -2(1) = -2
when x = 2, y = -2(2) = -4
Here's the table
Now, plot these values on graph
Related Questions
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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what is the value of the expression shown below
2 3/5 - 1 3/5
^ ^
TWO THREE-FIFTHS MINUS ONE THREE-FIFTHS
THE NUMBERS ARE MIXED FRACTIONS
Answers
Answer:
1
Step-by-step explanation:
1. One way to do this is converting both into improper fractions. To do this, multiply the whole number by the denominator and add that to the numerator.
2 3/5 --> 2*5 is 10 --> 10+3 is 13. --> 13/5
2. This leaves us with 13/5 - 8/5
3. Subtract the numerators
13/5 - 8/5 = 5/5
4. Simplify. If the numerator is the same number as the denominator, it's a whole number.
5/5 = 1
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), what are the
coordinates of B?
Answers
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).
To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.
Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).
Using the midpoint formula, we can set up the following equations:
(x1 + x2) / 2 = -4
(y1 + y2) / 2 = 2
Substituting the coordinates of point A (-7, 3), we have:
(-7 + x2) / 2 = -4
(3 + y2) / 2 = 2
Simplifying the equations:
-7 + x2 = -8
3 + y2 = 4
Solving for x2 and y2:
x2 = -8 + 7 = -1
y2 = 4 - 3 = 1
Therefore, the coordinates of point B are (-1, 1).
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The registrar at Eastern University studied the grade point average (GPA's) of its
students. The GPA's are normally distributed with a mean of 2.8 and a standard deviation of 0.4.
(A) What percentage of students a have a GPA between 2.3 and 3.8? (2 decimal places)
(B) What percentage of students have a GPA of 3.8 or higher? (2 decimal places)
(C) Any student with a GPA of 3.8 or higher makes it on to the Dean's list. If 93 students are on the Dean's list, how many students are there at Eastern University?
(D) Approximately what percentage of students have a GPA below 1.0?
Answers
Answer: (A) To find the percentage of students with a GPA between 2.3 and 3.8, we need to find the area under the normal distribution curve between the corresponding z-scores. First, we find the z-scores for the two GPAs:
z1 = (2.3 - 2.8) / 0.4 = -1.25
z2 = (3.8 - 2.8) / 0.4 = 2.5
Using a standard normal distribution table or calculator, we can find the area to the left of each z-score:
P(Z < -1.25) = 0.1056
P(Z < 2.5) = 0.9938
Then, we can find the area between the two z-scores by taking the difference:
P(-1.25 < Z < 2.5) = 0.9938 - 0.1056 = 0.8882
Therefore, approximately 88.82% of students have a GPA between 2.3 and 3.8.
(B) To find the percentage of students with a GPA of 3.8 or higher, we need to find the area under the normal distribution curve to the right of the corresponding z-score:
z = (3.8 - 2.8) / 0.4 = 2.5
P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062
Therefore, approximately 0.62% of students have a GPA of 3.8 or higher.
(C) Since we know that a student with a GPA of 3.8 or higher makes it on to the Dean's list, we can use the same z-score to find the percentage of students with a GPA of 3.8 or higher:
P(Z > 2.5) = 0.0062
This represents the percentage of students on the Dean's list. To find the total number of students, we can set up a proportion:
0.0062 = 93 / N
Solving for N, we get:
N = 93 / 0.0062 ≈ 15000
Therefore, there are approximately 15000 students at Eastern University.
(D) To find the percentage of students with a GPA below 1.0, we need to find the area under the normal distribution curve to the left of the corresponding z-score:
z = (1.0 - 2.8) / 0.4 = -4.5
Using a standard normal distribution table or calculator, we can find:
P(Z < -4.5) ≈ 0
Therefore, approximately 0% of students have a GPA below 1.0.
Step-by-step explanation:
how many ping pong balls do you need if you want to arrange them in the shape of an equilateral triangle with 23 rows
Answers
You would need a total of 276 ping pong balls
Step by step explanation:
To determine the number of ping pong balls needed to form an equilateral triangle with 23 rows, we can calculate the total number of balls in the triangle. In an equilateral triangle, each row has one more ball than the previous row. The formula for the sum of the first n natural numbers is given by:
Sum = (n * (n + 1)) / 2
In this case, we want to find the sum of the first 23 natural numbers. Substituting n = 23 into the formula, we get:
Sum = (23 * (23 + 1)) / 2 = 276
Therefore, you would need 276 ping pong balls to arrange them in the shape of an equilateral triangle with 23 rows.
Question 1(Multiple Choice Worth 2 points) (Pythagorean Theorem LC) Determine which set of side measurements could be used to form a triangle. 13, 19, 7 25, 12, 13 18, 2, 24 3, 1, 5
Answers
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.
Let's check each set of side measurements:
13, 19, 7:
The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.
25, 12, 13:
The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.
18, 2, 24:
The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.
3, 1, 5:
The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
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Solve this please to get brainliest
I can be late, I can be early, I can be astronomical or atomic and my insides are incredibly complex. What am I?
Answers
Answer:
Clock
Step-by-step explanation:
The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.
which choice correctly expresses the number below in scientific notation?
0.000611
Answers
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
PLEASEEEEE IM DESPITE Xd-
Anyone
Will mark branliest
Answers
Answer:
B 8.42 seconds
Step-by-step explanation:
421 in 50 seconds
421//50
8.42 seconds
Hope this helps!
A forest covers 44,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answers
Answer:
0.4%*44000=1760 acres
Step-by-step explanation:
If sqrt 16 = x, then x2 =
Answers
Answer:
The square root of 16=4, 4x2=8, x2=8.
Step-by-step explanation:
On a coordinate plane, a line goes through points (negative 2, negative 2) and (4, 2).The graphed line can be expressed by which equation?
Answers
Answer:
y=⅔m-8 or 3y=2m-8
Step-by-step explanation:
put both equations in the form y=mx+c and solve simultaneously. when done, you will recive values for m and c. replace those values into y=mx+c
Dan has twice as many stickers as cam does. If Dan gives cam 15 of his stickers he will have 22 more than cam. How many stickers does each boy have? HURRY
Answers
Answer:
Initially:
Cam has X stickers.
Dan has 2x.
Dan gives Cam 15 stickers:
Cam has x + 15 stickers.
Dan has 2x - 15 stickers.
2x - 15 = (x + 15) + 22.
X = 52 stickers.
x + 15 = 52 + 15 = 67 stickers.
2x - 15 = 2*52 - 15 = 89 stickers.
Step-by-step explanation:
1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answers
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
What is the value of v? (help no links and thx)
Answers
Answer:
74.7
Step-by-step explanation:
what is the circumference of a circle with a radius of 3 inches? Use 3.14 for pie
Answers
Answer:
18.85
Step-by-step explanation:
1. Formula for finding circumference is C=2πr.
2. Plug in the numbers. C=2(3.14)(3)
3. Multiply. 2 x 3.14 = 6.28 6.28 x 3 = 18.84
4. Answer is 18.84 (or 18.85 if rounding)
First, the formula utilized to find the circumference of a circle is C=2πr.
So, C=2x3.14x3
2x3.14= 6.28
6.28x3= 18.84
True or false?
A function assigns each value of the dependent variable to more than one value of the independent variable.
A. True
B. False
Answers
Answer:
false i took the quiz
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Round your answer to two decimal places
Answers
The time required for an investment of 5000 dollars at an interest rate of 7.5 percent per year, compounded quarterly, is 5.49 years
Define compound interestCompound interest is the interest earned not only on the principal amount of an investment, but also on any interest accumulated on that principal amount over previous periods. In other words, compound interest is interest calculated on both the principal amount and the interest earned on that principal over time, resulting in the exponential growth of an investment.
Using the formula for compound interest:
A = P(1 + r/n)ⁿᵃ
where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times compounded per year, a is the time in years.
In this case, we have:
P = 5000
A = 9000
r = 0.075
n = 4
We need to find t, the time required to reach a final amount of 9000 dollars.
Substituting these values into the formula, we get:
9000 = 5000(1 + 0.075/4)⁴ᵃ
Dividing both sides by 5000 and simplifying, we have:
1.8 = (1.01875)⁴ᵃ
Taking the natural logarithm of both sides, we have:
ln(1.8) = ln(1.01875)⁴ᵃ
ln(1.8) = 4a×ln(1.01875)
Dividing both sides by 4ln(1.01875), we get:
a = ln(1.8) / (4 × ln(1.01875))
Using a calculator, we can evaluate this expression to get:
a ≈ 5.49
Therefore, the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5 percent per year, compounded quarterly, is approximately 5.49 years.
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Find – 8-(-3). -8-(-3) =
Answers
Answer:
-5.5
Step-by-step explanation:
Which choice shows (5 + 9) + 10 correctly rewritten using the associative property
and then correctly simplified?
O 10 + (5 + 9) = 10 + 14 = 24
O 5+ (9 + 10) = 5 + 19 = 24
O 10 + (9+5) = 10 + 14 = 24
O 5+ (91+0) = 5 +91 = 96
Question ID: 116111
Submit
Copyright 2023 The MOC
Answers
The correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
What is the associative property?The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Given that, an expression, (5 + 9) + 10
According to associative property of addition, (a+b)+c = a+(b+c)
Therefore,
(5 + 9) + 10 = 5+(9+10)
= 5+19
= 24
Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
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Rewrite polynomial in standard form
Answers
The standard form of polynomial is x^2 + 9x - 1/10
To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.
The given polynomial is
⇒ x^2 + 9x - 1/10
The standard form of the polynomial is
⇒ x^2 + 9x - 1/10
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Compare the numbers using
< > =
2125 2150
1110 1111
1191 1919
Answers
Answer:
<, <, <
Step-by-step explanation:
The < sign opens up towards the bigger number.
Hey there!
GUIDE:
“>” is greater than
“<“ is less than
“=“ is equal to
YOUR RESULTS
2125 < 2150
1110 < 1111
1191 < 1919
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Determine the values of x in the equation x2 = 64.
Answers
Explain= When a variable(the letter next to the number in this case the “x”) is placed next two a coefficient(the number next to a variable, in this case “2”), that means the variable is being multiplied by that number. To solve for x, we must divide the sum of x2 (64) by the coefficient. The number will equal x.
x2=64? X = 32!
What is the value of x in the equation 4(2x + 12) = 0? (1 point)
Question 18 options:
1)
−8
2)
−6
3)
6
4)
8
Answers
Answer:
4 (2x + 12) = 0
8x + 48 = 0
8x = - 48
x = -48/8
x = - 6 (option 2)
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
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What value is equivalent to 3^4 − 2^3 × (5 − 2) − 60
Answers
Answer:
-3
Step-by-step explanation:
81-24-60
PLEASE HURRY TAKING A TEST RN
Type the correct answer in each box.
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.
The value of x is
degrees, and the value of y is
degrees.
Answers
The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
What is the value of angle x and angle y?The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;
The value of angle adjacent x = 102⁰
The value of angle x is calculated as;
x = 180 - 102 ( sum of angles on a straight line)
x = 78⁰
The value of angle y is calculated as follows;
y = 115⁰ (corresponding angles are equal)
Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Joan reads that the mass of an average
elephant's brain is 34 kilograms greater
than an average man's brain. How many
kilograms is an average elephant's brain?
Answers
Answer:
35.5 kilograms
Step-by-step explanation:
An average human's brain is 1.5 kilograms.
1.5 + 34 = 35.5
What is the probability that either event will occur?
12
A
4
B
24
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
![What is the probability that either event will occur?12A4B24P(A or B) = P(A) + P(B)P(A or B) = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Pof0NLWov68zBtphRT6i0HnjotKLtlQG.png)
Answers
From the given information, the probability that either event will occur is 0.7.
From the given Venn diagram,
Number of A = 4
Number of B = 24
Number of others = 12
Total number = A + B + others = 4 + 24 + 12 = 40
Probability of event A occurring = number of A / Total number = 4/40 = 1/10 = 0.1
Probability of event B occuring = number of B / Total number = 24/40 = 3/5 = 0.6
Now, the probability of either event will occur = P(A or B) = P(A) + P(B)
P(A or B) = 0.1 +0.6 = 0.7
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