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Dominik [7]
3 years ago
11

Need help plzzzz....need this done by today

Mathematics
1 answer:
ddd [48]3 years ago
5 0

For this case, we must indicate which of the given graphs corresponds to the following inequality:

y\geq 1-3x

If we substitute the point(x, y) = (0,0) we have:

0> = 1-3 (0)\\0> = 1

It is not met, so we discard options A and C.

It is observed that the lines of option B and D correspond to the equationy = 1-3x. But the dotted line of option B indicates that the region given by: y> 1-3x is plotted

Thus, the region that indicatesy\geq 1-3x is option D

Answer:

Option D


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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

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Find the value of x

5x=945-10y

5x=945-10(72)

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x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

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3 years ago
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Answer:

Place "SUM" at 4 on the number line.

Step-by-step explanation:

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Adding a negative number is the same as subtracting its opposite. Adding -4 is the same as subtracting 4.

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