Answer:
Ordered pairs of points:
(1, 45), (2, 90), (3, 135), (4, 180), (5, 225), (6, 270)a) Linear
b) Domain is positive integers and is discrete
c) y = 45x
d) Let 500 = 45x, then
x = 500/45 = 11.11
x is not an integer, so the answer is not
The result of RREF produced the following matrix. What is the solution of the
system? Choose the best answer.
1 0 3 0
0 1 0 5
0 0 0 1
The following RREF matrix has infinite many solutions.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the matrix, we can get the following equations:
x + 3z = 0 (1)
y = 5 (2)
And:
0(x) + (0)y + 0(z) = 1
0 ≠ 1 (3)
From equation 3, we can see that the following RREF matrix has infinite many solutions
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Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.
\(\frac{x}{140} = \frac{8}{100}\)
100x=112
x=11.2
Please help
look at picture
Any answers not related to the question above will be reported
Answer:
5206 cm^2
Step-by-step explanation:
2(31×23 + 31×35 + 23×35)
2(713 + 1085 + 805)
2(2603)
5206
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
60 is 25% of what number
12 is 24% of what number
Which graph represents the function?
f(x)={3ifx<1xifx≥1
Answer: The graph in the bottom right corner.
Step-by-step explanation:
We have the function:
f(x) = 3 if x < 1.
f(x) = x if x ≥ 1
First, let's analyze each part of the function:
f(x) = 3 if x < 1.
We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)
f(x) = x if x ≥ 1
From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.
when x = 1, we have:
f(1) = 1
Then we will have the closed dot at the point (1, 1)
Then the correct option is the one in the bottom right.
Answer:
The answer is The graph on the bottom right
good luck!
8.5=w-12
these is one step Equation
Answer:
8.5= w -12 (add 12 to both sides)
20.5= w
Step-by-step explanation:
9. How many solutions does this system have? (1 point)
x-2y = 2
y=-2x+5
O infinitely many solutions.
Ono solutions
Otwo solutions.
one solution
The final statement is: The system of equations have unique solution.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: x-2y = 2 & y=-2x+5
Solving these two equations by method of substitution we get
x-2(-2x+5)=2
x+4x-10=2
5x=12
x=2.4
∴ y=2×2.4+5
=4.8+5
=9.8
Hence, The system has one solution.
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HELP ME??????????????
Also help figure out How to raise the points
Answer: D
Step-by-step explanation:
dogs + cats = 3+4
feeding = 2times
therefore 2(3+4)
Answer:
The answer you had circled (Option D) would be the correct answer. If Betty feeds 3 cats, and 4 dogs, she would be feeding them 7 scoops at feeding time, and since she feeds them twice a day, it would total to 14 scoops, which can be represented by the equation 2*(3+4). I hope this helps, if you have any questions let me know.
Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.
Answer:
Step-by-step explanation:
Getting an odd number in a single roll of a die.
Answer:
1/2
Step-by-step explanation:
The chance of getting a odd number is 1 in 2 chances because a die has 6 sides and there are 3 even numbers and 3 odd numbers so the ratio is 1:2
Pls help xdcdcdcdcdcd
Answer:
A
Step-by-step explanation:
YESYESYESYESYESx85
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512
Step-by-step explanation
128 ounces in a gallon times that by 4. ====== ....... 512.
Ur welcome please heart this
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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DQ1: Consider the vertex matrix T in application 1 page 185. How can we extend this into 3 dimensional objects in space? Add a vector, or vectors to T and describe the object for which you have created vertices (i.e., a cube, a pyramid, etc.) What are the dimensions of your new matrix? What do the dimensions represent?
Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.
What is matrix?A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).
Here,
To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.
L(e1) = (1+0, 0+0) = (1, 0)
L(e2) = (0+1, 1+0) = (1, 1)
L(e3) = (0+0, 1+0) = (0, 1)
So we can write:
L(x) = L(x1 e1 + x2 e2 + x3 e3)
= x1 L(e1) + x2 L(e2) + x3 L(e3)
Now we can assemble the coefficients of this linear combination into a matrix A:
A= \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)
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I really need help I don’t understand at all
Answer:(33)-x 7
Step-by-step explanation: 33 is left after you multiply 22 by x2 so that means if you divide by 2 ur answer would be (33)-x 7
Find the range of the data. 8, 13, 5, 11, 3, 10 Range = [?] Enter
From the given question
There are given that data: 8, 13, 5, 11, 3, 10.
Now,
For the range, subtract the minimum data value from the maximum data value
So,
The maximum data value is 13 and the minimum data value is 3
Then,
13 - 3 = 10
Hence, the range of the data is 10.
Question 11
Exit Ticket - This Thanksgiving, Grandma is looking for a DEAL on pies.
She knows that her family would eat either sweet potato pie or pumpkin pie. She has to make a
choice of buying pies. Which is better a better deal for Grandma?
A. 5 Sweet Potato Pies for $15.65
B. 6 Pumpkin Pies for $23.50
Answer:
A
Step-by-step explanation:
Because the cost per pie is less.
Help pls and thank you
By using the parallelogram method, the addition of the vectors \(\vec a + \vec b\) is (3, 1).
How to add vectors by using the head to tail method or parallelogram method?In Mathematics, a vector typically comprises two (2) points. First, is the starting point which is commonly referred to as the "tail" and the second (ending) point that is commonly referred to the "head."
Furthermore, the head to tail method of adding two vectors requires drawing the first vector (\(\vec a\)) on a graph and then placing the tail of the second vector (\(\vec b\)) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector (\(\vec a\)) to the head of the second vector (\(\vec b\)).
Furthermore, the head to tail method of adding two (2) vectors requires drawing the first vector (\(\vec a\)) on a graph and then placing the tail of the second vector (\(\vec b\)) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector (\(\vec a\)) to the head of the second vector (\(\vec b\)).
By adding the given vectors algebraically, we have the following:
\(\vec a + \vec b\) = (4, -3) + (-1, -2)
\(\vec a + \vec b\) = [(4 + (-1)), (-3 + (-2))]
\(\vec a + \vec b\) = [(4 - 1), (-3 - 2)]
\(\vec a + \vec b\) = (3, -5).
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simplify the expression, 7 (m + 2 + 5)
Answer:
7m + 49 or 7(m + 7)
Step-by-step explanation:
Distribute the 7 to each integer and simplify.
Answer:
7m+49
Step-by-step explanation:
7m+14+35
7m+49
If PQRS is a rhombus, find m
Answer:
m<PQR = 82°
Step-by-step explanation:
In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.
Therefore:
(4x - 27)° = (2x + 7)°
Solve for x
4x - 27 = 2x + 7
Collect like terms
4x - 2x = 27 + 7
2x = 34
Divide both sides by 2
2x/2 = 34/2
x = 17
✔️m<PQR = (4x - 27) + (2x + 7)
Plug in the value of x
m<PQR = (4*17 - 27) + (2*17 + 7)
m<PQR = 41 + 41
m<PQR = 82°
Find the value each expression
(-22)(-5)
Answer:
111
Step-by-step explanation:
What's the axis of symmetry of y = 3x2 - 6x + 4
Answer: The axis of symmetry = 1
That's a vertical line passing through 1 on the x-axis
Step-by-step explanation: From standard form, ax² + bx + c
Use the values of a and b in the equation x = -b/2a to find s, the axis of symmetry.
x = -(-6)/2(3)
x = 6/6
x = 1
The required axis of the symmetry of the given parabola is x = 1.
Given that,
To determine the axis of symmetry of y = 3x² - 6x + 4.
A parabola is a cross-section cut out of the cone and represented by an equation.
Here,
The axis of symmetry of a parabola is given by -b/2a
Now. from the given parabolic equation y = 3x² - 6x + 4. we have a = 3 and b = 6.
Substitute the value in the symmetry equation
Axis of symmetry, x = -(-6)/2(2)
x = 1
Thus, the required axis of the symmetry of the given parabola is x = 1.
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Use the Distributive Property to write –4(7 – 1) as an equivalent expression. What is the value of the expression?
Answer:
Step-by-step explanation:
-4(7-1) = (-4)7 + (-4)(-1) = -24
What is the domain of this function
Answer:
I think its A
Step-by-step explanation:
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
y − 6 =3/5(x + 5); (0, 8)
The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40
Equation of a lineThe equation of a line in point-slope form is expressed as;
y - y0 = m(x -x0)
where
m is the slope
(x0, y0) is the point on the line
Given the following parameters
Point (0,8)
Slope from the equation = 3/5
Substitute
y - 8 = 3/5(x - 0)
5(y -8) =3x
5y - 40 = 3x
5y - 3x = 40
Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40
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THE PROBLEM IS ON THE PHOTO
Answer:
its 24.2
Step-by-step explanation:
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
�
=
�
(
1
+
�
�
)
�
�
A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
�
12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
)
108
Divide by 11000
1.8181818
=
1.8181818=
(
1
+
�
12
)
108
(1+
12
r
)
108
(
1.8181818
)
1
/
108
=
(1.8181818)
1/108
=
[
(
1
+
�
12
)
108
]
1
/
108
[(1+
12
r
)
108
]
1/108
Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
+
�
12
1+
12
r
−
1
−1=
−
1
−1
Subtract 1
0.0055509
=
0.0055509=
�
12
12
r
12
(
0.0055509
)
=
12(0.0055509)=
(
�
12
)
12
(
12
r
)12
Multiply by 12
0.0666108
=
0.0666108=
�
r
6.66108
%
=
6.66108%=
�
r
Convert to percent (multiply by 100)
�
≈
r≈
6.66
%
6.66%
Round to the nearest hundredth of a percent