Answer:
The answer is Not a line (no constant slope)
Step-by-step explanation:
21/7
-2/-1
78/26
-105/-35
The slope is always different, therefore there is no constant slope!
Hope this helps!
1+9+40-40+40+10x2 equals what?
Answer:
70
Step-by-step explanation:
1+9+40-40+40+10*2
----------------------- 20
10+40-40+40+20
50 (-40+40 cancels out to 0) +20
50+20= 70
(Following PEMDAS)
Multiply, add, subtract.
if you were to instead go through it left to right, you would get 120, which is incorrect.
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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Which of these is not a factor you need to consider when choosing a bank?
a. The number of ATM machines
b. Branch locations
c. How often you need access to your money
d. The amount of money you paid in income taxes last year
Answer:
A, B, and C all deal directly with the bank. While D does not deal with your bank it is a personal finance question that would NOT change your banking. So the correct answer would be D
Step-by-step explanation:
The amount of money you paid in income taxes last year.
What do you mean by the bank?Bank, is an institution that deals in money and its substitutes and provides other money-related services. In its role as a financial intermediary, a bank accepts deposits and makes loans.
What are the types of banks?A bank is a financial institution licensed to receive deposits and make loans. Banks may also provide financial services such as wealth management, currency exchange, and safe deposit boxes. There are several different kinds of banks including retail banks, commercial or corporate banks, and investment banks.
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Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
This equation can be factored as:
(2x + 5)(x - 2) = 0
Setting each factor equal to zero, we get:
2x + 5 = 0 => 2x = -5 => x = -5/2
x - 2 = 0 => x = 2
Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.
Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).
In this case, a = 2 and b = -1. Plugging these values into the formula, we have:
x = -(-1) / (2 * 2) = 1/4
To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point
Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Part C: To graph f(x), we can follow these steps:
Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.
Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.
Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.
Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.
The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.
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The x-intercepts from the graph attached are
(-2, 0) (2.5, 0)The vertex from the graph attached is
(0.25, -10.125)How to find the required parametersPart A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
x = (-b ± √(b² - 4ac)) / (2a)
a = 2, b = -1, c = -10
Plugging these values into the quadratic formula:
x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)
x = (1 ± √(1 + 80)) / 4
x = (1 ± √81) / 4
x = (1 ± 9) / 4
x₁ = (1 + 9) / 4 = 10 / 4 = 2.5
x₂ = (1 - 9) / 4 = -8 / 4 = -2
Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.
Part B
To find the coordinates of the vertex, we can use the formula:
x = -b / (2a)
x = -(-1) / (2 * 2) = 1 / 4 = 0.25
we substitute this value back into the original function:
f(0.25) = 2(0.25)² - 0.25 - 10
f(0.25) = 0.125 - 0.25 - 10
f(0.25) = -10.125
Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).
Part C: The steps to graph f(x) include:
Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.
Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.
Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.
Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.
By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)
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check my answer before I submit please!!
What similarity theorem justifies ABC-YZX
I chose SSS Similarity Theorem
Answer:
It is AA
Step-by-step explanation:
They didn't mention anything about sides but thay said that the triangles have 2 similar angles so it AA theoremTJ is think of a number which he calls n he finds 1/3 of the number
Answer:
Step-by-step explanation:
Let the number TJ thinks of be n.
If he finds 1/3 of the number, the expression that models this situation is expressed as:
1/3 of n
= 1/3 * n
= n/3
hence the expression that models the scenario is n/3
Answer:
1/3n-5
Step-by-step explanation:
24 3/5+4 3*(8 1/5-2)
Answer:
I think its 49 2/5
Step-by-step explanation:
Harriet rode her bike 2 1/4 miles to the mall then she rode 3/4 miles to the grocery store she came back the way she went how many miles did harriet ride in all explain
Answer:
6 miles
2 1/4 + 3/4 = 3 whole miles. 3x2=6.
Assignment
Active
Subtracting Polynomials
Find: (42+yu + 2xy? - 2y) – (-7x2y3 + 6xy? - 2y)
Place the correct coefficients in the difference.
Elena's aunt bought her a $200 savings bond when she was born. When Elena is 20 years old, the bond will have earned 110% in interest. How much will the bond be worth when Elena is 20 years old? Dhoma
Step-by-step explanation:
$157.50
i HOPE THIS HELP YOU
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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Help me out here pleaseeeeeeeee
Answer: 5 pounds
Step-by-step explanation:
Think about it in order to find j you multiply 6 times c. If j=30 you divide 30 from 6 to find the value of c. This is why c is 5.
Hope this helps :)
Is so easy pls help 20 points
Answer:
24
Step-by-step explanation:
bc 60-36=24 (idk if this is right)
please help how to draw array for prime number of 19. and 13.
Prime numbers only have 2 factors 1 and itself. Arrays for prime number 19 and 13 are as follows
\(\begin{gathered} 13\rightarrow1,13 \\ 19\rightarrow1,19 \end{gathered}\)How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
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Can someone help me with my math work please?
I Will Number All The Answers Below, and give my best explanation :D
6.
Jay Has 10 Tallies, When There Is 10 Tallies, Normally It Means the number 10
Madison Only Has 3 Tallies, therefore Madison has 3
Kimberly Has 7 Tallies, Which Means Kimberly has 7
7. You See Those Squares On The Graph? You Are Going to color them out
Jay Has 10 tallies, so you will will those squares out 10 times on Jays side
Madison Has 3 Tallies, so you are going to fill 3 Boxes for maddison
Kimberly Has 7, So you are going to fill Kimberly's box 7 times
8. How Many Bottles Did Kimberly Bring? She Brung 7 Bottles
9. Maddison Brough The Least Bottles, Which is 3
Hope This Helped :D
-Deadly
1 cup = 16 tablespoons 1 tablespoon = 3 teaspoons a certain recipe calls for 1/4 cup of white sugar, 1/2 cup of brown sugar, 2 1/4 cups of flour, 1/4 teaspoon of salt, and 2 tablespoons of cornstarch. the amount of cornstarch called for is approximately what fraction of the total amount of sugar called for
Answer:
Step-by-step explanation:
brown sugar=1/2 cup=(1/2)*16=8 tablespoons
Total amount of sugar called for=4+8=12 tablespoons
Amount of cornstarch called for=2 tablespoons
cornstarch = 2/12=1/6 of the total amount of sugar called for
I need help on this please
Answer:
See answers below
Step-by-step explanation:
From the given functions, the equivalent function for when x = 0 is -(x-1)²
h(x) = -(x-1)²
h(0) = -(0-1)²
h(0)= -(-1)²
h(0) = -1
when x = 2, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(2) = -1/2(2) - 1
h(2) = -1-1
h(2) = -2
when x = 5, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(5) = -1/2(5) - 1
h(5) = -5/2-1
h(5) = -7/2
i need help with this problem
Step-by-step explanation:
Pythagoras theorem
16²=7²+a²
a²=16²-7²
a²= 256 -49
a²=207
a=√207
a=14.38
a≈14.4 in. (approx)
Answer:
Step-by-step explanation:
As it is a right angle triangle, we can use Pythagorean theorem to find a
base² + altitude² = hypotenuse²
7² + a² = 16²
49 + a² = 256
a² = 256 - 49
a² = 207
a = √207
a = 14.4 in
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
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A boat leaves the entrance to a harbor and travels 200 miles on a bearing of N51°E. How many miles north and how many miles east from the harbor has the boat traveled?
Thus, the boat travels x = 139.18 miles in North direction and y = 143.62 miles east from the harbor.
Explain about the components of vector:It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.
As indicated below, we must determine how far east and north the boat has moved relative to the harbour.
In this diagram, the boat is seen leaving the harbour at a bearing of N51E (measured from north to east) and a magnitude of 200 miles. The boat travelled a horizontal distance through the east, which we refer to as "x," and a vertical distance through the north, which we refer to as "y."X miles north:
cos 51 = x/200
x = 200*cos51
x = 139.18 miles
y miles east:
sin 53 = y/200
y = 200*sin 51
y = 143.62 miles
Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.
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What is 9/21 in simpliest form? PLS HELP ONLY IF U KNOW AND ILL MARK BRAINLIEST QUICKKK
3/7 is 9/21 in simpliest form.
-fx-g=h solve for x
Answer:
x = -(h+g) / f
Step-by-step explanation:
-fx - g = h
-fx = h + g
x = (h + g) / -f
x = -(h+g)/f
See picture-multiple choice.
From the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞
From the given graph
The x axis represents the values of x, and the y axis represents the value of y
From the graph,
When the value of x moves from 0 to - ∞, then the value of f(x) is moves from 0 to - ∞
Similarly, when the value of x moves from 0 to ∞, the the value of f(x) is increased to positive values and then decreased to - ∞.
Hence, from the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞
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At $.54 for a dozen oranges, what will 7 1/2 dozen cost?
Number 8 is the answer 90*
Answer:
E
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Consider the triangle on the left
3rd angle = 180° - 60° - 90° = 180° - 150° = 30°
the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so
∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°
Can someone please explain to me how to solve this?
Will give brainly if you answer the question
Answer:
D.12
Step-by-step explanation:
College brother told me its 12 which is D.
Answer:x=1
Step-by-step explanation: