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Arlecino [84]
3 years ago
8

Use substitution to solve the following system of equations. 2x + 4y = 12 AND x=y - 3

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

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The table shows the age and finish time of ten runners in a half marathon.
tiny-mole [99]

Answer:

Left box: Outlier in this data set is (57,132)

Right box: because the finish time looks faster than expected for the age.

Step-by-step explanation:

As per the given table shows the age and finish \ time of 10 runners.

It is clear that people of age around 35 are finishing at around 142 \ minutes

and person with older age takes longer to finish.

One person of age 57 finishes in 175 \ minutes , that looks as expected.

Another person of same age (57) finishes it too fast which is unexpected.

Therefore (57,132) is an outlier, because it looks a faster finish as per expected.

7 0
3 years ago
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joja [24]

Step-by-step explanation:

<h3><em>Explanation</em><em> </em><em>is </em><em>in</em><em> the</em><em> </em><em>attachment</em><em> </em></h3>

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3 0
2 years ago
What is the value of x? Also show work pls
drek231 [11]

Answer:

x = 34

Step-by-step explanation:

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2x+3 = 71

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2x+3-3 = 71-3

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Divide by 2

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4 0
2 years ago
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Westkost [7]

Answer:

-4

Step-by-step explanation:

3 0
3 years ago
Find the component form of the vector v ⃗ with ‖v ⃗ ‖=4√3 when drawn in standard position v ⃗ lies in Quadrant II and makes a 30
nydimaria [60]
The answer:

first of all, we should know that the expression of a vector V (a, b) can be written as follow:

V = r (Vx i + Vyj), where r is the length of the vector, it is r = sqrt(V²x + V²y)
Vx is the component lying on the x-axis and Vy on the y-axis

<span>v ⃗ lies in Quadrant II, means Vx is less than 0 (negative)
</span>
so Vx= -r sin30° and Vy= rcos30° 

r= <span>‖v ⃗ ‖=4√3 
</span>
so we have   v = - 4√3sin30° i  + 4√3 cos30° j

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v(- 4√3sin30°,  4√3 cos30°) = (-2√3, 4√3 cos30°)
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