Please help on Photo question. Mathematics.
Answers
2x + y = 11 ------> eqn2
add the two equations
3x -y +2x +y = 11 + 4
5x = 15
x = 3
then sub. in eqn 2
2(3) + y =11
y= 11 -6
y = 5
the answer is ( 3, 5)
Related Questions
If 6m + 4 = 8m, then 4m
Help hurry it's timed and I need to pass this
What is the slope of the line that passes through the points (–2, 5) and (1, 11)? A. -2 B. 1/2 C. -6 D. 2
The product of three integers is −5. Determine all of the possible values for the three factors.
Answers
Volume is a three-dimensional scalar quantity. The maximum volume of the box is 0.8m³.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Surface area of the box = 2x² + 3xy
Surface area of lid = 2xy
Total area = 2x² + 5xy = 6
y = (6-2x²)/5x
Volume of the box, V = x²y
V = x²[(6-2x²)/5x] = (6x/5)-(2x³/5)
Now, for the volume to be the maximum,
dV/dx = 0
(6/5)-(6x²/5) = 0
x² = 1
x = ±1
y = 4/5
Thus, the maximum volume of the box = x²y = (1)²×(4/5) = 0.8 m³
Hence, the maximum volume of the box is 0.8m³.
Learn more about Volume:
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so would it be 8 meters because it has 8 sides
x2 + x + ___ = 0
Answers
Answer:
- The product of two consecutive integers is 420:
20*21 = 420 and (-21)*(-20) = 420
- What is the constant of the quadratic expression in this equation?
Any constant less or equal than 0.25
Step-by-step explanation:
The product of two consecutive integers is 420 can be expressed mathematically as follows:
x*(x+1) = 420
After applying distributive property and subtracting 420 at both sides, we get:
x^2 + x - 420 = 0
In order to factorise, we use the quadratic equation as follows:
Then, 20*21 = 420 and (-21)*(-20) = 420
A quadratic equation with the standard form has a solution to the equation: a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:
b^2-4(a)(c) >= 0
Here a = 1 and b = 1; then,
1^2-4(1)(c) >= 0
-4(c) >= -1
c <= -1/-4
c <= 0.25
x^2 + x = 420
x^2 + x + (- 420) = 0 or x^2 + x - 420 = 0
B- neck and arms
C- legs and arms
D- none
Answers
Answers
Total miles traveled in r hours = r*s miles
so, average rate of speed = total miles traveled / number of hours
=[{(p*q)+(r*s)} / (p+r)] miles per hour
nice job, and receiving a paycheck for doing something you enjoy is great. The job requires 30 hours per
week and pays $240 per week. A check is issued every two weeks.
Alvin's first paycheck is much lower than the expected $480. The pay stub showed the following payroll
deductions: $29.76 for Social Security tax, $6.96 for Medicare tax, 62.10 for federal withholding tax, and
28.80 for state income tax. It is disappointing to receive only $352.38 and have taxes deducted. No
matter the disappointment, it is still a good opportunity to gain job experience
Case Review
1. Do these figures surprise you? What has been your experience with payroll deductions?
2. Do you think it is fair to have to pay $127.62 in taxes every two weeks? Why or why not?
3. What benefits does a worker receive from the money that went to taxes? Does Alvin receive any direct
benefits?
4. What information from the pay stub will be important when an income tax return is filed?
Answers
1. Well, payroll deductions can sometimes be surprising, my dear! It's quite common to see various taxes being deducted from your paycheck. Everyone's experience with payroll deductions can differ based on their income, job, and location. So, it's always good to be prepared and aware of what to expect.
2. Ah, the fairness of taxes! It's a never-ending debate, isn't it? Whether it's fair or not to pay $127.62 in taxes every two weeks depends on various factors like income levels, tax rates, and the services provided by the government. Taxes contribute to public services, infrastructure development, healthcare, education, and so much more. So, it's a matter of perspective, my dear.
3. Now, let's talk about the benefits of those hard-earned tax dollars! Workers, like our friend Alvin, receive several direct and indirect benefits from the taxes they pay. These benefits can include access to healthcare services, social security benefits, unemployment benefits, public safety, transportation, and even education initiatives. Alvin might not directly see all the benefits, but his contributions help support the overall functioning of society.
4. Ah, the crucial information for filing an income tax return! From the pay stub, Alvin will need to keep track of the federal withholding tax and state income tax amounts deducted. These figures will be important for accurately reporting his income and calculating any potential tax refunds or liabilities when he files his income tax return.
So, my dear, keep those pay stubs handy and stay curious about the world of taxes!
Opposite sides are parallel.
B.
All sides are the same length.
C.
Only one pair of sides is parallel.
D.
All sides are different lengths.