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crimeas [40]
3 years ago
11

How many solutions does this system have!

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:x=-14y=174


y=3x+5,y=-x+4


3x+5=-x+4



There are infinite number of solutions!





Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

−

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

−

1

4x=-1

y

=

−

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

−

1

4

x=-14

y

=

−

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

−

1

4

-14.

x

=

−

1

4

x=-14

y

=

−

(

−

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

−

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

−

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

−

1

4

y

=

17

4

x=-14y=174

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An aircraft seam requires 24 rivets. The seam will have to be reworked if any of these rivets are defective. Suppose rivets are
kirill [66]

Answer:

Step-by-step explanation:

a)

p(d) - probability of a rivet being defective

p(r) - probability of seam needing to be reworked

The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective

Thus the probability that none of the 25 rivets is defective is 1-p(r)

p(r) = 16%, thus 1-p(r) = 84%

1-p(r) = (1-p(d))^24

0.84 = (1-p(d))^24

0.84^(1/24) = 1-p(d)

==> 1-p(d) = 0.9927615998

==> p(d) = 1-0.9927

==> p(d) = 0.0073

b) given p(r) = 8%, thus 1-p(r) = 92%

1-p(r) = (1-p(d))^24

0.92 = (1-p(d))^24

0.92^(1/24) = 1-p(d)

==> 1-p(d) = 0.99653179446

==> p(d) = 1-0.9965

==> p(d) = 0.0035

5 0
3 years ago
Determine the slope of the line thy passes through the points (-6, -4) and (7, -5) ?
nirvana33 [79]

Answer:

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Step-by-step explanation:

Slope = \frac{Y}{X} =\frac{-1}{13}=-0.076923076923077

7 0
4 years ago
Please help me with this on the image
Sedbober [7]

Answer:

we will then have to also multiply the y with three so the answer is B and that's ( ×3)

3 0
3 years ago
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