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Lilit [14]
3 years ago
11

Identify the number of solutions. Y< -1/3x+5, y> -1/3x-1.

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.


Step-by-step explanation:

Given inequalities

y< -1/3x+5 and

y> -1/3x-1.

If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.

Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater  than > symbol there.

Now, we can see that slopes of both dotted lines are same that is -1/3.

So, there would not be any common shaded region.

Therefore, there would not by any solution of the system of inequalities.

And correct option is C option.

C. No solution. ( top shaded. Middle not. Bottom shaded.

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June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one
inysia [295]

Answer:

$34

Step-by-step explanation:

I'd work backwards.

For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)

m = 1/2m + 3

1/2m = 3

m = 6

For the second book: (let n = money before book 2)

n - m (money left after book 2) = 1/2n + 2

1/2n +2 is money used up for book, which is the same as n-m.

n = 1/2n + 2 + m

1/2n = 2 + m = 2 + 6

1/2n =8

n = 16

For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):

o - n = 1/2o + 1

o = 1/2o + n + 1 = 1/2o + 16 + 1

1/2o = 17

o = 34

Check!

Spent 17 (half 34) + 1 on book 1

16 left

Spent 8 (half 16) +2 on book 2

6 left

Spent 3 (half 6) + 3 on book 3

0 left

4 0
2 years ago
Help
qaws [65]

Answer:

this algrebraic expression

4 0
2 years ago
Read 2 more answers
What type of arc lies between the two sides of a central angle and measures less than 180?
Tanzania [10]

Answer:

minor arc

Step-by-step explanation:

apex

8 0
3 years ago
What is the expression of 5 times the difference between 19 and 13
saveliy_v [14]

Answer:

5 x 6

Step-by-step explanation:

5 0
3 years ago
give the standard form, degree, leading coefficient and the constant term of the function h(x) = (2x+1)² (2x-3)​
Softa [21]

Answer:

The standard form is: h(x) = 8x^3 - 4x^2 - 10x - 3

The function is of the 3rd degree.

The leading coefficient is 8.

The constant term is -3.

Step-by-step explanation:

Placing in standard form:

To place in standard form, we solve the operations. So

h(x) = (2x+1)^2(2x-3)

h(x) = (4x^2 + 4x + 1)(2x - 3)

h(x) = 8x^3 - 12x^2 + 8x^2 - 12x + 2x - 3

h(x) = 8x^3 - 4x^2 - 10x - 3

Degree:

The degree is given by the highest power of x, which, in this exercise, is 3.

Leading coefficient:

The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is x^3, which is multiplied by 8. So the leading coefficient is 8.

Constant term:

The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.

3 0
2 years ago
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