How can graphing be applied to solving systems of nonlinear equations?
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Related Questions
The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k?
The radian measure equivalent to -45º is _____.
Which linear system has the solution (6, 6)A:4x - 3y = -1 -2x + y = -3 B: x + y = 12 3x - 2y = 6 C: 3x + y = 4 4x - 3y = 1 D: 4x + 3y = 0 2x - y = 0
Please help me!!! (the answer isn't 140 or 70 :/ )
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so 8x^2+3x=-7
add 7 to both sides
8x^2+3x+7=0
put into the quadratic formula
8x^2+3x+7=0
ax^2+bx+c=0
x=((-b+-√(b^2-4ac))/(2a))
x=((-3+-√(3^2-4(8)(7)))/(2(8)))
solve inside of square root first
3^2-4(8)(7)=pemdas 9-4(8)(7)=9-224=-215
so -3+-√-215
we know that square root of negative is not real and is immaginary so i must be involved
√-1=i so
-215=i√215
so the answer is A
CONTINUATION
i√215=i(15)=15i
-3+-15i means -3+ or minus 15i
then solve for botom part
2(8)=16
(-3+-15i)/16
so the answers are (-3+15i)/16 and (-3-15i)/16
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Answer:
A = (5+4) divided by 1/2 x 11 (h) = 49.5 in
Answer:38 inches
Step-by-step explanation:A=1/2 (base 1 + base 2) x height = area
Base 1 = 11 in
Base 2 = 8 in
Height = 4 inches
Area if trapezoid = 1/2 x 11 + 8 x 4 =!19 sum of bases
19x4(H) = 76
76/2=38 inches
Area of trapezoid = 38 inches
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Answer:
The answer is "Hierarchy of authority (bureaucracy)".
Step-by-step explanation:
The organization's hierarchy of authority will be for the good of its company and the people. Its business develops with the power of a skilled manager, but managers seek management to developed its professions. The hierarchy is often a strategic honesty maintenance method.
Its business evolves with both the power of a professional executive, but managers seek management to develop their professions. The hierarchy is indeed a strategic integrity maintenance method.
B.9/24
C.4/9
D.15/35
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For each choice, divide the numerator by 3 and the denominator by 8.
Look at this:
A). 6/14
6 ÷ 3 = 2
14 ÷ 8 = 1.875 ===> 2/1.875 not interesting
B). skip B for just a second
C). 4/9
4 ÷ 3 = 1.33
9 ÷ 8 = 1.125 ===> 1.33/1.125 not interesting
D). 15/35
15 ÷ 3 = 5
35 ÷ 8 = 4.375 ===> 5/4.375 not interesting
But now look at choice-B:
B). 9/24
9 ÷ 3 = 3
24 ÷ 8 = 3 ===> 1/1 interesting !
-- To simplify 9/24, the top and bottom were divided by 3, giving 3/8.
-- To UN-simplify 3/8, the top and bottom were multiplied by 3, giving 9/24.
-- Choice-B is the one that's equivalent to 3/8.
______________________________________________
OK. All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.
A). 6/14
Divide top and bottom by 2 ===> 3/7
B). 9/24
Divide top and bottom by 3 ===> 3/8
C). 4/9
Can't be simplified. Already in simplest form.
D). 15/35
Divide top and bottom by 5 ===> 3/7
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72*(2/3)= 48= long
Answer: Yuron's painting is 36 inches wide.
Step-by-step explanation: Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of to make his sketch.
We are given to find the width Yuron’s sketch.
Let, w and w' represents the width of the famous painting and Yuron's painting.
Then, w = 54 inches, w' = ?
We know that the scale factor is defined by
Therefore, we have
Thus, Yuron's painting is 36 inches wide.
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z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9
Answer: μ=9
Final answer:
The question can be addressed using the principles of Normal Distribution. Given the z-chart, 8 ounces is the observed value for the 99.5th percentile, which equates to approximately 2.58 standard deviations. Therefore, the mean setting of the coffee machine should be set around 8 ounces for the cup to overflow only 0.5% of the time.
Explanation:
The situation described in the question is a typical case of application of Normal Distribution. As a reminder, in a Normal Distribution, 99.7% of the values lie within 3 standard deviations of the mean. The question states that the cup should overflow only 0.5% of the time. Therefore, we need to consider the 99.5% of the left side under the normal curve (as we're considering the upper limit), which corresponds to around 2.58 standard deviations under the normal curve.
Given that the standard deviation (σ) is 0.4 ounces, using the formula X = μ + Zσ (where Z is the Z-score corresponding to the desired percentile, μ is the mean we want to find, and X is the threshold value where the cup overflows at 8 ounces), we can substitute the known values and solve for μ.
Therefore, 8 = μ + 2.58 * 0.4 Solving for μ gives us around μ = 7.966, or about 8 ounces. Hence, the mean setting of the coffee machine should be set around 8 ounces to ensure that the cup will overflow only 0.5% of the time.
Learn more about Normal Distribution here:
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