Find the quotient -88, 11
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y = 3x + 1
Which description best describes the solution to the system of equations?
Line y = −x + 2 intersects line y = 3x + 1.
Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
Lines y = −x + 2 and y = 3x + 1 intersect the y-axis.
Line y = −x + 2 intersects the origin.
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Answer:
The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
Step-by-step explanation:
The first equation is given to be :
y = -x + 2
x 0 2
y 2 0
The second equation is :
y = 3x + 1
x 0 -1/3
y 1 0
Now, The graphs of both the equation are attached below :
So, By seeing the graph, We can observe :
- Line y = −x + 2 intersects line y = 3x + 1.
- Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
- Lines y = −x + 2 and y = 3x + 1 intersect the y-axis
But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.
Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.
y = 3x + 1
-x + 2 = 3x + 1
+ x + x
2 = 4x + 1
- 1 - 1
1 = 4x
4 4
¹/₄ = x
y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)
The answer is A.
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The population after 15 years, to the nearest whole number is 17600.
What is meaning of Percentage Increase ?
The percentage increase is calculated by first calculating the difference(increase) between the two numbers and then multiplying it by 100. The answer is noted in % .
It is given in the question that
A town has a population of 11000
It grows at 4% every year.
the population after 15 years = ?
The population increase can be determined by the formula of Amount used in Simple Interest
P₁₅ = P₀ + ( P₀ * 0.04 * 15)
P₁₅ = 11000 + (11000* 0.04 * 15)
P₁₅ = 17600
Therefore the population after 15 years, to the nearest whole number is 17600.
To know more about Percentage Increase
#SPJ2
Answer:
19810
Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer: 2.64 x 10^(-10) meters
Explanation
Place the decimal point between the first two nonzero digits. We'll place it between the 2 and the 6.
We now have 2.64
The question is: How can we get back to 0.000 000 000 264 again?
We'll need to move the decimal point 10 spaces to the left to get back to the original value.
Therefore, 0.000 000 000 264 = 2.64 x 10^(-10)
The exponent -10 represents "move the decimal point 10 spaces to the left".
Extra info: There are 9 zeros between the decimal point and the "2" in the number 0.000 000 000 264. Take note of the spacing in the value to group up each set of 3 digits.