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vlada-n [284]
3 years ago
13

Which ordered pairs are solutions to the inequality −2x+y≥−4 ?

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

(0,-5) , (1,-2) , (0,1) and (-1,1)

Step-by-step explanation:

-2x + y ≥ -4

y ≥ 2x - 4

Taking a point (0,-5):

-5 ≥ 0 - 4 , 5 ≥ -4

This situation is true.

Taking a point (3,-1):

-1 ≥ 2(3) - 4 , -1 ≥ 2

This situation is not true.

Taking a situation (1,-2):

-2 ≥ 2(1) - 4 , -2 ≥ -2

This situation is true.

Taking a point (0,1):

1 ≥ 0 - 4 , 1 ≥ -4

This situation is true.

Taking a point (-1,1):

1 ≥ 2(-1) - 4 , 1 ≥ -6

This situation is true.

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9 and 5/12 - 3 and 2/3
lana [24]
Recall to always convert the mixed fractions to "improper" fractions first,

\bf \stackrel{mixed}{9\frac{5}{12}}\implies \cfrac{9\cdot 12+5}{12}\implies \stackrel{improper}{\cfrac{113}{12}}
\\\\\\
\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}\\\\
-------------------------------\\\\
\cfrac{113}{12}-\cfrac{11}{3}\impliedby \textit{clearly our LCD is 12}\implies \cfrac{113-(4)11}{12}
\\\\\\
\cfrac{113-44}{12}\implies \cfrac{69}{12}\implies 5\frac{9}{12}
5 0
3 years ago
Jenny is selling chocolate bars it for each bar she sells she makes two dollars profit she wants to use The money she earns I’m
andre [41]

Answer:

Yes

Step-by-step explanation:

Since Jenny makes a profit of $2 for each bar of chocolate that she sells, if she sells a total of 500 chocolate bars, her profit would be:

Profit for 500 chocolate bars = profit for each chocolate bar * 500 bars

Profit for 500 chocolate bars = $2 per bar * 500 bars

Profit for 500 chocolate bars = $1000

Also she want to buy a laptop worth $998. This would be possible after selling 500 bars because $1000 > $998. After buying the laptop she would have $2 remaining ($1000 - $998)

6 0
3 years ago
X-1=y what is the answer plz give me the answer
guajiro [1.7K]

Answer:

<h2>X = 0</h2><h2>Y = 1</h2>

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

6 0
3 years ago
Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much
Kobotan [32]

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)

Multiply 2 on both sides of equation (2) , we get

4x+10y=39.5................(3)

Subtract equation (1) from equation (3), we get

7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25

Put value of y in (1), we get

4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

8 0
3 years ago
What’s the volume of a con that is 2 ft tall and a radius of 1
sashaice [31]

Answer: 2.09ft^3

Step-by-step explanation:

Formula: V=\pi r^2 \frac{h}{3}

Plug in your values.

V=(3.14)(1ft)^2(\frac{2ft}{3})

Square 1ft.

V=(3.14)(1ft^2)(\frac{2ft}{3})

Plug this into a calculator or do it manually.

V=2.09ft^3

8 0
3 years ago
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