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2 years ago

Write a system of inequalities using the given graph

Mathematics

1 answer:

ziro4ka [17]2 years ago

7 0

For dark line

(0,1)
(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5x
y=5x+1

Put (0,0)

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)
(0,-2)

Equation in intercept form

x/2-y/2=1
x-y=2
y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

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Nikki has 3 pieces of yarn. the first piece is 5/6 feet long the second piece is 5/3 feet long and the third piece is 3/2 oder s

xenn [34]

I think you are asking to sort them according to the shortest to longest in length. For this, it would be helpful to write the fraction into decimal. The equivalent values are as follows:

5/6 = 0.83
5/3 = 1.67
3/2 = 1.50

Therefore, the correct sorting would be as follows:

first yarn
third yarn
second yarn

Hope this answers the question. Have a nice day.

4 0

3 years ago

a coin collector has 36 dimes and nickels with a total face value of $2.80. they are actually worth a lot more. how many of each

Juliette [100K]

Answer:

16 nickels and 20 dimes

Step-by-step explanation:

16x5=80

20x10=200

80+200=280

280 cents = $2.80

8 0

3 years ago

You will not be given credit for your answer if you do not include your equation! Your family took a trip to Florida. After the

bazaltina [42]

Answer:

80 mph

Step-by-step explanation:

720÷9=80

hope this helps!!!

3 0

3 years ago

Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen

lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = $\frac{1}{2}$

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = $\frac{^xC_2}{^nC_2}$ = $\frac{1}{2}$

also,

$^nC_r$ = $\frac{n!r!}{(n-r)!}$

thus,

$\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}}$ = $\frac{1}{2}$

$\frac{x(x-1)}{n(n-1)}$ = $\frac{1}{2}$

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0

3 years ago

1. The larger of two supplementary angles is 15 more than twice the measure of the smaller angle. Find each angle measure.Help

Anna71 [15]

Answer:

55 degrees and 125 degrees

Step-by-step explanation:

Supplementary means that they add up to 180.

x + y = 180

Let's let x be the larger angle.

x = 15 + 2y

The above equation comes from the information given, that it's 15 more than twice the smaller angle.

Now let's use substitution.

x + y = 180

(15 + 2y) + y = 180

15 + 3y = 180

3y = 165

y = 55

The smaller angle is 55. Plug this back in to the first equation to get x.

x + y = 180

x + 55 = 180

x = 125

Now that you have both, test them again just to be sure that they fit the given conditions.

5 0

3 years ago