Answers
Answer:
-1
Step-by-step explanation:
the "slope" of a graph is rise / run
you divide the "rise" from one point on a graph to another by the "run" from one point to another.
We can use any two points on a graph to find this value. (There are other ways to find slope, but this is the easiest method for find the slope of a graphed line)
We can see two points on the line already pointed out, but we can also look to see other points (that require less math)
[remember, points are written as (x,y) ]
We can see a point at (1,0) and another point at (0, 1)
the "rise" between two points is the difference in y-values.
0 - 1 = -1
{you can also look at the graph/count the boxes}
So, the rise between these two points is -1.
(really, it's a drop)
the "run" between these two points is the difference in x-values.
1 - 0 = 1
so, the run between these two points is 1.
Now, all that's left to do is divide the rise / run:
-1 / 1 = -1
So, the slope of this line is -1.
this can be summed up in the following formula:
\(m = \frac{y_{2} - y_{1}} {x_{2}-x_{1}}\)
where \(m\) is the slope of the graph,
\(x_{1}\) = x-value of first point on graph
\(y_{1}\) = y-value of first point on graph
\(x_{2}\) = x-value of second point on graph
\(y_{2}\) = y-value of second point on graph
the equation of a line
y = mx + b
incorporates the slope (as \(m\))
Related Questions
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remaining fuel is 2 gallons or less.
Write and solve an inequality to represent this situation.
PLZ HURRY
Answers
Answer:
hi
Step-by-step explanation:
write in standard form One and three hundred twenty-four thousandths
Answers
Answer:
1,324,000
Step-by-step explanation:
i think thats the question
The standard form of one and three hundred twenty-four thousandths is 1324 × 10⁻³.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
One and three hundred twenty-four = 1324
Thousandths mean the amount per thousand.
So,
One and three hundred twenty-four thousandths = 1324/1000
⇒ 1324/10³
⇒ 1324 × 10⁻³.
Hence "The standard form of one and three hundred twenty-four thousandths is 1324 × 10⁻³".
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If f(x)=-2x2-2x+1 and g(x)=x+1, find (f-g)(x).
A. -2x²-3x+2
B. -2x² - 6x - 3
C. -2x² - 3x
D. -2x²-x+2
Answers
The value of function (f - g)(x) will be; 2x² - 3x
Since Function is a type of relation, or rule, that maps one input to specific single output. A Linear function is a function whose graph is a straight line
We are given that the function;
f(x)=-2x²-2x+1
g(x)=x+1
(f - g)(x) = f(x) - g(x)
(f - g)(x) =2x²-2x+1 - (x+1)
(f - g)(x) = 2x²-2x+1 - x - 1
(f - g)(x) = 2x² - 3x
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slope -2 passes through (-3,14)
Answers
Answer:
y = − 2 x + 8
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
Use the formula for the equation of a line to find b .
y = m x + b
Substitute the value of m into the equation.
y = ( − 2 ) ⋅ x + b
Substitute the value of x into the equation.
y = ( − 2 ) ⋅ ( − 3 ) + b
Substitute the value of y into the equation.
14 = ( − 2 ) ⋅ ( − 3 ) + b
Find the value of b .
Rewrite the equation
( − 2 ) ⋅ ( − 3 ) + b = 14 .
Multiply − 2 by − 3
6 + b = 14
Subtract 6 from both sides of the equation.
b = 14 − 6
Subtract 6 from 14 .
b = 8
Now that the values of
m (slope) and b (y-intercept) are known, substitute them into y = m x + b to find the equation of the line.
y = − 2 x + 8
Select all of the following expression that result in rational number
Answers
Answer:
the answer is only A (I think so...)
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answers
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
Please help me answer this question, thanks!
Answers
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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What does AxB equal in I-ready Math?
Answers
\(\frac{1}{\sqrt{x} 5}\)
Answers
Answer:
\( \frac{ \sqrt{5x} }{5x} \)
Step-by-step explanation:
\( \frac{1}{ \sqrt{x5} } \)
\( = \frac{1}{ \sqrt{5x} } \)
\( = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } \)
\( = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)
\( = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)
\( = \frac{ \sqrt{5x} }{5x} \)
Natasha worked for part of the year before receiving a raise in her hourly rate of pay. The graph below shows the amount of money she has made this year and the hours she has worked since she received the raise. What was the initial amount of money Natasha made?
Answers
Answer:
Unfortunately, I cannot see the graph you are referring to since we are communicating through text. However, based on the information given, we can make some general observations.
We know that Natasha received a raise in her hourly rate of pay at some point during the year. Before the raise, she earned some initial hourly rate of pay. Let's call this initial rate of pay "x". Let's also assume that she worked for "h" hours before receiving the raise, and "k" hours after receiving the raise.
We can write an equation to represent the total amount of money she made this year:
Total amount of money = (initial hourly rate of pay x number of hours worked at the initial rate) + (new hourly rate of pay x number of hours worked at the new rate)
Using the variables we defined earlier, we can write:
Total amount of money = (x × h) + ((x + y) × k)
where y is the increase in her hourly rate of pay after the raise.
We also know that she earned a certain amount of money before the raise. Let's call this amount "M". This means that:
M = x × h
Solving for x, we get:
x = M/h
Substituting this expression for x into the first equation, we get:
Total amount of money = (M + yh) + ((M/h + y) × k)
We don't know the values of M, y, h, or k, so we cannot determine the initial hourly rate of pay x or the total amount of money Natasha made this year. However, we have set up an equation that can be used to solve for these values if we have more information.
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answers
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
Identify the solid produced by rotating the given polygon about the indicated axis of revolution.
Question 20 options:
A) Cuboid
B) Cylinder
C) Cube
D) Cone
Answers
Answer:
B) Cylinder
Step-by-step explanation:
Pls mark me B:)
Solve for y.
d = 5x + 5y
d=5x
5
O y = 5(d - 5x)
Oy =
0y = d-Sx
X
Oy=
5x-d
5
Answers
he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answers
50 PONTS
Complete the following statements:
< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?
Answers
Answer:
Step-by-step explanation:
1. j
2. k
3. L
4. Lj
5. kL
6. jk
2x = 8
solve the equation to find the value of the variable
Answers
Answer:
x=4 and deviding by 8 by 2 and we get 4
Select which points are solutions to this inequality.
y ≥ 5x - 7
(-5, -3)
(-4, 2)
(1, -2)
(-1, 0)
(3, 0)
(4, 1)
Answers
(-5,-3)
(-4,2)
(-1,0)
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
Answers
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
Answers
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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Is r = 6 a solution to the inequality below? 10 < r
Answers
Answer:
No
Step-by-step explanation:
10 is not less than 6, so 10 < r when r=6 is not true.
What is g(x)=-5x+3 if “x” is 9
Answers
Answer:
-40
Step-by-step explanation
-5(9)+3 =
-43+3 = -40
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
Answers
Answer: 156.86
Step-by-step explanation:
Two angles are supplementary. The measure of one angle is eight times the measure of the other. Find the measure of each angle.
Answers
Answer:
The small angle is 20
The large angel is 160
Step-by-step explanation:
x + y = 180
x = 8y Substitute for x in the top equation
8y + y = 180 Combine
9y = 180 Divide by 9
y = 180/9
y = 20
x = 8y
x = 8 * 20
x = 160
I need some help with this one please
Answers
The percentage of students who do not walk to class and do not have a lunchbox is 28.25 %.
Percentage calculationFrom the illustration:
Total number of students = 400
Number of students that do not walk and do not have a lunchbox = 113
Percentage component = number of component/total number x 100
Thus:
Percentage of students who do not walk to class and do not have a lunchbox:
= 113/400 x 100%
= 28.25 %
To the nearest hundredth = 28.25%
In other words, the percentage of students who do not walk to class and do not have a lunchbox is 28.25%.
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Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
of cash for each scarf. Before she left, Lucy spent $10.50 of her earnings on a used sweater.
She had $7.50 remaining. What was the value of each scarf?
Answers
The value of each scarf from the sales will be $4.50.
Since Lucy spent $10.50 of her earnings on a used sweater and she had $7.50 remaining, the total amount that she made from the sales will be:
= $10.50 + $7.50
= $18.00
Since she sold 4 scarves, the cost of each scarf will be:
= $18.00 / 4
= $4.50
Therefore, the value of each scarf will be $4.50.
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A player gets a "cap" each time they play for their national team.
The players in Team A have a total of 36 caps. The players in Team B have a total of 12 caps. Mel moves from Team A to Team B.
Now, the players in Team A have twice as many caps in total as the players in Team B.
Work out how many caps Mel has.
Answers
Hello!
x = number of caps of Mel
36 - x = 2(12 + x)
36 - x = 24 + 2x
36 - 24 = 2x + x
12 = 3x
x = 12/3
x = 4
The answer is 4.
verification:
36 - 4 = 32
12 + 4 = 16
16 x 2 = 32 or 32/2 = 16
it's correct.
Find (fog)(-5).
f(x) = x + 1
g(x) = 3x
(fog)(-5) =
Answers
The value of (fog)(-5) is (3x+10(-5)
Here we have to find a composite function which is made up of to functions f(x) and g(x). A composite function can be simply understood as a function inside a function. Here, the range of the composite function will be the intersection of both the outer and the inner function.
While the domain of the composite function is those values of x in g(x) for which the value of x is defined in the composition.
Here we have to put the value of g(x) in f(x) at the place of x, which eventually means we have to find f(g(x)),
First let us find (fog),
(fog) = f(g(x))
(fog) = g(x)+1
(fog) = 3x+1
Now, we have to find (fog)(-5),
(fog)(-5) = (3x+10(-5)
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please help me
A book is marked 21% off. If the original price is $23.42, what will the sale price be?
Round your answer to the nearest cent. Do not include units with your answer.
Answers
Answer:
$18.51
Step-by-step explanation:
23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51