Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])
Answers
After solving the equations, the value obtained for x and y will be equal to (-1, 1).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
y = 2x + 3 (i)
y = -x (ii)
Substitute equation (ii) in (i)
-x = 2x + 3
-x - 2x = 3
-3x = 3
x = -3/3
x = -1
Substitute x = -1 in equation (i)
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
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Related Questions
Determine all real values of a.
a2 = 81
A: a = 9
B: a = ±9
C: a = 40.5
D: a = ±40.5
Answers
What is the slope of a line parallel to the line
3x - 2y = 8?
Answers
Answer:
looooookkkk att the picture
Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. How much interest would she receive in one year?
Answers
The interest that Zollicoffer will receive in one year is $52.50.
How much interest would Zollicoffer receive in one year?The formula that is used for calculating the interest will be:
Interest = principal × rate × time
In this case, Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. The interest that she would receive in one year will be:
Interest = Principal × Rate × Time
Interest = 1000 × 5.25% × 1
Interest = $52.5
The interest is $52.50.
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At a busy street corner in a large city, right at the morning rush hour, a psychologist counted the number of people waiting for the light to change. A confederate dressed as a homeless man crossed the street against the light. The psychologist counted the number of people who followed him. Whern the next group collected to wait for the light to change, another confederate, dressed as a well-to-do businessman, crossed the street against the light, and the psychologist counted the number of people who followed him. Analyze the data, X2, Write the conclusions and answer the question below Followed Did Not Follow Homeless Man 3 15 Businessman 8 7 What can the psychologist say about the influence of appearance on whether or not a person takes risks?
Answers
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
What do hypotheses and null hypotheses mean?Using a statistical test, researchers compare the evidence supporting the null and alternative hypotheses, which are two conflicting claims: There is no population impact, or null hypothesis (H0). There is a population effect, or alternative hypothesis (Ha or H1).
Here,
Procedure for the Mega Stat Excel add-in:
The first step is to choose Add-Ins > Mega Stat > Chi-square/Crosstab > Contingency Table in EXCEL.
Step 2: Select the cell range A1:C3 in the input range box.
Step 3. Pick chi-square under Output Options. Click OK in Step 4.
Mega Stat output from the Excel add-in
Test for Independence Using a Chi-Square Contingency Table
Total Number of Followed Did Not Follow
Homeless Man 3 15 18
Businessman 8 7 15
Total 11 22 33
4.95 chi-square
1 df
.0261 p-value
Consequently, the p-value is 0.0261.
Decide on a significance threshold of 0.05.
The p-value in this instance, which is lower than the value of a = 0.05, is 0.0261. In other words, the p-value was (=0.0261) (=0.05).
Reject the null hypothesis in light of the rejection rule. [tex]H_{0}[/tex]
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
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If f(x) ==x²-1, and
g(x) = x + 5, then
f(g(x)) = [? ]x²+[ ]x + [ ]
Answers
Answer:
-1, -10, -26
Step-by-step explanation:
f(x) = -x² - 1
g(x) = x + 5
f(g(x)) =
-(g(x))² - 1 = ==> plugin g(x) for x in f(x) in order to get f(g(x))
-(x + 5)² - 1 = ==> plugin x+5 for g(x)
-(x + 5)(x + 5) - 1 =
-(x(x + 5) + 5(x + 5)) - 1 = ==> distribute (x+5) to x and 5
-((x*x + 5*x) + (5*x + 5*5)) - 1 = ==> simplify
-(x^2 + 5x + 5x + 25) - 1 =
-(x^2 + 10x + 25) - 1 =
-x^2 - 10x - 25 - 1 = ==> distribute the negative sign to x^2, 10x, and 25
-x^2 - 10x - 26 = -1x^2 + (-10x) + (-26)
Subtracting by a positive number is equivalent to adding by a negative number
Answer: -1, -10, -26
Solve the following equation for b. You may assume all variables are positive
so do not use or absolute values.
m = 4fb²-g²
Answers
Answer:
b = √(m+g²)/4f
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $2,000.00 in the account in 13
months?
Assume the account earns 4.01% simple interest.
in your account now.
You would need to deposit _____ in your account now.
Answers
Answer:
$1916.73
Step-by-step explanation:
[tex]I=Prt=P(0.0401)(13/12) \\ \\ \implies P+P(0.0401)(13/12)=2000 \\ \\ P=\frac{2000}{1+(0.0401)(13/12)} \approx \$1916.73[/tex]
On the coast of Oregon, mussels cover most of the rocky shoreline. Two mussel predators include Pisaster (ochre stars) and Nucella (whelks). A sixty-day removal study was conducted, and the results are presented in the graph. Which of the following conclusions is best supported by the data in the graph?
Answers
Because Pisaster is a keystone species, the proportion of living mussels was comparable to the control after Nucella removal.
Is the ochraceous Pisaster a keystone species?Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.
Pisaster ochraceous: prey or predator?Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.
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Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.
4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7
Answers
Answer:
C. 6
Step-by-step explanation:
You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.
RelationThe number (n) of boxes and the required empty space that can fit in the available space is ...
8n +2 ≤ 56
8n ≤ 54
n ≤ 6 3/4
6 boxes will fit in the remaining space.
5. ______ is the transfer of thermal energy by collisions between particles in matter.
a.Convection b.Radiation. c.Conduction. d.Contact
Answers
Answer:
conduction its the answer
Write a rule that transforms ABC into A'B'C'
Answers
Answer:
(x - 5, y - 1)
Step-by-step explanation:
The x value tells how many units to move right or left. Right would be adding to x and left would be subtracting from x.
The figure is moved 5 spaces left that would be a rule of x -5.
The y value tells how many units to move up or down. Up would be addition and down would be subtraction. In this case, we are moving the figure down one unit so the rule would be y - 1
Use the graph of the exponential function to find k, rounded to the nearest hundredth.
Responses
A
1.61
B
0.32
C
1.00
D
0.83
Answers
The value of k is 0.32 .
What is an exponential function?
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.
An exponential function is a function that usually takes the form f(x) = bˣ.
The exponential curve depends on the exponential function and it depends on the value of the x.
where;
b = base
ˣ = power
The general exponential function that models the data given is:
[tex]y = ce^{kt}[/tex]
According to the (5,5c)
[tex]ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32[/tex]
Hence , the value of k is 0.32 .
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Construct a venn diagram illustrating the sets below. U = {1,2,3,4,5,6,7,8,9} Y={1,3,4,6,7} Z={1,5,7}
Answers
Answer:
Step-by-step explanation:
Here is a Venn diagram illustrating the sets U, Y, and Z:
Y
_____|_____
| |
| |
| |
| |
Z | U |
| |
| |
| |
|_____ _|
|__ _|
Z
In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.
a,b)Find the phasor form of the following E-field, the polarization type, and plot the vector on the X-y axis (z-0) for one period a) E(z,t) = xZcos(wt kz) y4cos(wt kz) b) E(z,t) = R2cos(wt + kz) - 94sin(wt + kz)
Answers
a) The phasor form of E-field = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz) is 2√5 L(-63.43).
Polarization type is linearly polarised.
b) The phasor form of E-field = ?
E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz) is E(z,t) =2√5 L(-143.43). polarization type is elliptical.
We have given that
E⃗(z,t) =2xˆcos(wt - kz) - 4 yˆcos(wt - kz)
|r⃗ | = √((2cos(wt - kz))² + (- 4cos(wt - kz))²)
= √(4cos²(wt - kz) + 16cos²(wt - kz))
= √(20cos²(wt - kz))
= 2√5 cos(wt - kz)
φ = 4cos(wt - kz)/(2cos(wt - kz))
= tan⁻¹ 1(-2) = -63.43°
So, E(z,t) = 2√5 L(-63.43)
b) E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz)
= xˆ 2cos(wt + kz) - yˆ 4cos(wt + kz -π/2)
|r| = √((2cos(wt + kz))² + (- 4sin(wt -+kz))²)
= √20
phi = tan⁻¹(- 4cos(wt - kz)/(2cos(wt - kz)) - π/2
= tan⁻¹( -2) + π/2 = - 143.43
so, E(z,t) =2√5 L(-143.43)
E(z,t) = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz)
if wt = 0°
E(z,t) = xˆ 2cos(0 - kz) - yˆ 4cos(0- kz)
= 2xˆ - 4yˆ
wt = 30° , E(z,t) = xˆ 2cos( - kz) - yˆ 4cos(0- kz)
E(z,t) = √3/2(2) xˆ - √3/2(4) yˆ
= √3xˆ - 2√3yˆ
for wt = 45°
E(z,t) = √2 xˆ - 2√2 yˆ
for wt = 90° =>E(z,t) = 0
for wt = 60° , E(z,t) = xˆ - 2 yˆ as seen in above graph that is linear polarised
For part (b) ,
E(z,t) = 2 xˆcos(wt - kz) - 4yˆ sin(wt + kz)
From graph elliptical polarised,
for wt = 0 , E(0,t) = 2 xˆ
for wt = 90° , E(0,t) = -4yˆ
for wt =180° , E(0,t) = -2 xˆ
for wt = 270° , E(0,t) = -4yˆ
Hence, we get the answer of both parts.
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a coin is flipped 10 times how many outcomes will have exactly 4 tails and start and end with different faces
Answers
There are a total of 2^10 = 1024 possible outcomes for a coin flipped 10 times. Out of these, there are only 10 outcomes that have exactly 4 tails and start and end with different faces.
To count the number of outcomes with 4 tails, we can use the binomial coefficient formula: n choose k = n!/(k! * (n-k)!), where n is the total number of flips (10 in this case) and k is the number of tails (4 in this case). This gives us 10 choose 4 = 10!/ (4! * 6!) = 210 outcomes with 4 tails.
To count the number of outcomes that start and end with different faces, we can consider the first and last flips separately. The first flip can be either heads or tails and the last flip can also be either heads or tails, for a total of 2 * 2 = 4 possibilities.
Thus, there are a total of 210 * 4 = 840 outcomes that have exactly 4 tails and start and end with different faces. However, there are two outcomes (THTHTHTHTHT and TTHTHTHTHTH) that are counted twice in this total, so we need to subtract these from the total to get the correct number of outcomes. This gives us 840 - 2 = 838 outcomes.
Finally, we need to subtract the two outcomes that start and end with the same face (HHHHHHHHTH and THHHHHHHHH). This gives us a total of 838 - 2 = 836 outcomes.
Therefore, there are a total of 836 outcomes that have exactly 4 tails and start and end with different faces out of a total of 1024 possible outcomes.
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John Carlo takes a car to a little business to borrow some money, John Carlo is given 3,400.00.00. He must pay back the $3,400.00 in addition to a $1,000.00 fee in 4 months.
What is the simple interest rate is he being charged?
Answers
Answer:
Step-by-step explanation:
simple interest I = Prt
I = $1,000 = 3,400r (4/12)
⇒ 3,400r (4/12) = 1,000
⇒ 3400r = 333.333
⇒ r = 0.098
≈ 9.80 %
Solve 7x-6y=17 for y.
Answers
The value of y in the linear equation 7x - 6y = 17 is y = -(17 + 7x)/6
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
In this problem, we are to solve for y.
7x - 6y = 17
Step 1
Take 7x to the right hand side of the equation
-6y = 17 - 7x
Step 2
Divide both sides by the coefficient of y
-6y / -6 = (17 - 7x) / - 6
y = - (17 + 7x) / 6
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can anyone help me out!
Answers
Answer:
I don't know this is confused
Find the equation that matches the following table.
X Y
-3 4
0 2
3 0
Answers
Answer:
In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.
form of liner function : y= ax+b
step 1. finding the slope
[tex]a = \frac{y1 - y2}{x1 - x2} [/tex]
for example I'll put (-3,4) and (0,2) to this formula,
the slope would be -2/3
step2. finding the b
put a desire point of x,y table for example (3,0)
0 = -2/3 × 3 + b
b would be 2
so the equation is y= -2/3x + 2
Select all of the equations that are equivalent to 8k = 20. 8k – 4 = 20 + 4 8k ÷ 4 = 20 ÷ 4 8k × 3 = 20 × 3 8k + 10 = 20 + 10 8k × 5 = 20 ÷ 5
Answers : ACD
Answers
The equations that are equivalent are (b) 8k ÷ 4 = 20 ÷ 4, (c) 8k × 3 = 20 × 3 and (d) 8k + 10 = 20 + 10
How to determine the equations that are equivalent?From the question, we have the following parameters that can be used in our computation:
8k = 20.
Divide both sides of the equation by 4
So, we have the following representation
8k ÷ 4 = 20 ÷ 4
Multiply both sides of the equation by 3
So, we have the following representation
8k × 3 = 20 × 3
Add 10 to both sides of the equation
So, we have the following representation
8k + 10 = 20 + 10
Hence, the equivalent equation is 8k + 10 = 20 + 10
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I’m so lost someone help!
Answers
Answer:
Cubic, Binomial
Step-by-step explanation:
A cubic function is when the degree of the polynomial is 3
The degree is the highest power
A binomial has 2 terms
So 8x^3-1 is a binomial and is cubic
What is the greatest common factor of 33 and 49
Answers
Answer:
1
Step-by-step explanation:
All factors of 33 : 1, 3, 11, 33
All factors of 49 : 1, 7, 49
So the Greatest Common Factor for 33 and 49 is 1
A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.
Answers
The volume expression for the box is 1.728lwh and it means that the volume increases by 72.8%
How to determine the volume expression for the box?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Length = l
Width = w
Height = h
The volume of a box can be calculated using
Volume = lwh
Rewrite the volume equation as
v = lwh
When the dimensions of the box are increased by 20%, we have the following expressions
Length = 1.2l
Width = 1.2w
Height = 1.2h
So, the new volume is
V = 1.2l * 1.2w * 1.2h
Evaluate
V = 1.728lwh
Hence, the expression is 1.728lwh
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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.
Determine the expression for the new volume
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.
A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.
A.
(5, 6)
B.
(6, 8)
C.
(7, 10)
D.
(8, 17)
E.
(9, 18)
F.
(10, 21)
Answers
Answer:
A, B, C.
Step-by-step explanation:
Please I need help and please show work rational function lots of points
Answers
Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
Answers
Answer:Th numbers between the bars represents:
A) The age classes, in 5-year ranges
Explanation:The age classes are indicated by the numbers between the bars, while the numbers within the bars show the popularity of each age group in millions.
Typically, a population pyramid like the one below does not display the number of births that occurred in a single year. However, by looking at the year the population pyramid was developed and deducting from it the corresponding ages shown in the pyramid, one can estimate this information.
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complete question:
Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
a) the age classes, in 5-year ranges
b) the number of people born in a particular year
c) the total population(in Million) of males and females
d) the percentage of the population in each age class.
Four students are getting ready for a running competition. They each set a goal to run
a certain number of laps in the week before the competition.
Ivory's goal is to run 50
laps. They ran 35 laps. What percent of their goal is this?
Answers
Answer: 70%
Step-by-step explanation: To find the percent of their goal that Ivory ran, divide the number of laps they ran by their goal and multiply by 100. In this case, Ivory ran 35 / 50 * 100 = 70% of their goal.
Miguel is mailing packages.Each small package cost him $2.20 to send.Each large package cost him $3.90.How much will it cost him to send 6 small packages and 1 large package?
Answers
Answer: $13.50
Step-by-step explanation:
It will cost Miguel $13.50 to send 6 small packages and 1 large package. To find the total cost, we can first calculate the cost of sending the small packages by multiplying the cost per small package by the number of small packages: 2.20 * 6 = $<<2.20*6=13.20>>13.20
We can then add the cost of the large package to find the total cost: 13.20 + 3.90 = $<<13.20+3.90=17.10>>17.10.
Therefore, it will cost Miguel $17.10 to send 6 small packages and 1 large package.
A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
How long does it take for the oven temperature to reach 275°F?
Write and solve an equation to find the answer.
minutes hi
Answers
Answer:
93 minutes
Step-by-step explanation
23/68 x/275= 93 min
Match each expression on the left with its quotient. Use number sense and estimation to help.
5.85 or 36 or 9.4 or 21.5
40.42 ÷ 4.3 ( Drag Here )
15.48 ÷ 0.72 ( Drag Here )
86.4 ÷ 2.4 ( Drag Here )
50.31 ÷ 8.6 ( Drag Here )
Answers
Answer:
40.42 ÷ 4.3 = 9.4
15.48 ÷ 0.72 = 21.5
86.4 ÷ 2.4 = 36
50.31 ÷ 8.6 = 5.85