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ra1l [238]
2 years ago
6

If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Mathematics
2 answers:
Nataly [62]2 years ago
6 0
You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help
damaskus [11]2 years ago
6 0

Answer:

a

Step-by-step explanation:

i got it right on the test

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Determine a series of transformations that would map polygon ABCDE onto<br>polygon A'B'C'D'E'?<br>​
vovangra [49]

Answer:

A reflection followed by a translation

Step-by-step explanation:

A reflection across they x-axis would put all the points in the right section and on the right y value. The x value would need to be changed though. So, you would need to do a translation of 4 on all points.

3 0
2 years ago
A Climbing Gym charges $10 to climb each day. A pair of Climbing shoes cost $84. It cost $169 to buy 6 days of climbing, one pai
yaroslaw [1]
Cost of 6 days climbing = $10 * 6 = $60
Cost of one pair of shoes = $84
Total cost = $169

So, cost of one harness = $169 - $(84+60) 
harness = $169 - $144 = $25

So, your final answer is $25
8 0
2 years ago
if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (f
SCORPION-xisa [38]

Answer:

Greater.

Step-by-step explanation:

The in the function  f(x)=2x^2+5\sqrt{x-2}, the square root term \sqrt{x-2} has to give a real number if f(x) is to be real. This can only happen if x\geq 2 because if x then \sqrt{x-2} will give a complex number and therefore f(x) will not be real.

Thus, the domain for f(x) is all real numbers<em><u> greater</u></em><u> </u>than or equal to 2.

7 0
2 years ago
Evaluate the triple integral ∭ExydV where E is the solid tetrahedon with vertices (0,0,0),(5,0,0),(0,9,0),(0,0,4).
Elan Coil [88]

Answer: \int\limits^a_E {\int\limits^a_E {\int\limits^a_E {xy} } \, dV = 1087.5

Step-by-step explanation: To evaluate the triple integral, first an equation of a plane is needed, since the tetrahedon is a geometric form that occupies a 3 dimensional plane. The region of the integral is in the attachment.

An equation of a plane is found with a point and a normal vector. <u>Normal</u> <u>vector</u> is a perpendicular vector on the plane.

Given the points, determine the vectors:

P = (5,0,0); Q = (0,9,0); R = (0,0,4)

vector PQ = (5,0,0) - (0,9,0) = (5,-9,0)

vector QR = (0,9,0) - (0,0,4) = (0,9,-4)

Knowing that cross product of two vectors will be perpendicular to these vectors, you can use the cross product as normal vector:

n = PQ × QR = \left[\begin{array}{ccc}i&j&k\\5&-9&0\\0&9&-4\end{array}\right]\left[\begin{array}{ccc}i&j\\5&-9\\0&9\end{array}\right]

n = 36i + 0j + 45k - (0k + 0i - 20j)

n = 36i + 20j + 45k

Equation of a plane is generally given by:

a(x-x_{0}) + b(y-y_{0}) + c(z-z_{0}) = 0

Then, replacing with point P and normal vector n:

36(x-5) + 20(y-0) + 45(z-0) = 0

The equation is: 36x + 20y + 45z - 180 = 0

Second, in evaluating the triple integral, set limits:

In terms of z:

z = \frac{180-36x-20y}{45}

When z = 0:

y = 9 + \frac{-9x}{5}

When z=0 and y=0:

x = 5

Then, triple integral is:

\int\limits^5_0 {\int\limits {\int\ {xy} \, dz } \, dy } \, dx

Calculating:

\int\limits^5_0 {\int\limits {\int\ {xyz}  \, dy } \, dx

\int\limits^5_0 {\int\limits {\int\ {xy(\frac{180-36x-20y}{45} - 0 )}  \, dy } \, dx

\frac{1}{45} \int\limits^5_0 {\int\ {180xy-36x^{2}y-20xy^{2}}  \, dy } \, dx

\frac{1}{45} \int\limits^5_0  {90xy^{2}-18x^{2}y^{2}-\frac{20}{3} xy^{3} } \, dx

\frac{1}{45} \int\limits^5_0  {2430x-1458x^{2}+\frac{94770}{125} x^{3}-\frac{23490}{375}x^{4}  } \, dx

\frac{1}{45} [30375-60750+118462.5-39150]

\int\limits^5_0 {\int\limits {\int\ {xyz}  \, dy } \, dx = 1087.5

<u>The volume of the tetrahedon is 1087.5 cubic units.</u>

3 0
1 year ago
What is the graph of the system y = -2x + 3 and 2x + + 4y = 8?
Maslowich

Answer:what are you solving it by

Step-by-step explanation:

3 0
2 years ago
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