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Nana76 [90]
3 years ago
5

Which graph correctly represents 3x + y > 7? NEED HELP!!

Mathematics
2 answers:
patriot [66]3 years ago
6 0
First rewrite the inequality in y = form.
3x + y > 7
Subtract 3x from both sides.
y > -3x + 7
Both graphs have a -3 slope and y intersect at 7. The only difference in the shading. Choose a test point to see if it makes the inequality true. The easiest point to choose is (0,0) if our line doesn't pass through that point.

0 > -3(0) + 7
0 > 7 is false so we want the graph where (0,0) is NOT shaded. That is the one on the left.
Andru [333]3 years ago
4 0
If the blue part is what is shaded, I'd say it's Graph B. But you can double check on a great website called "https://www.desmos.com/"

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PLEASE HELP 25 POINTS!!!
miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

\sf S \infty  \ =a_1  \ x \ \dfrac{1}{1-r}

Identify following

  • a1 = 2
  • r = 1/2

Solve:

\rightarrow \sf S \infty  \ =2  \ x \ \dfrac{1}{1-\frac{1}{2} }

\rightarrow \sf S \infty  \ =4

The sum of this infinity series is 4

5 0
2 years ago
The perimeter of a regular decagon is 363m.<br> State the length of one of its sides.
ikadub [295]

Answer:

36.3 m

Step-by-step explanation:

because a decagon has 10 sides so 363 divided by 10=36.3

7 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
VARVARA [1.3K]

Answer:

h = a + b * t, this equation gives you the height of the candle after t hours, where:

h = height of the candle

t = hours of burning

a = the y intercept

b = the slope

Step-by-step explanation:

In your problem says that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. This means that the independent variable is t (hours of burning) and the dependent variable is h (height of the candle).

A linear function has the following form:

   y = f(x) = a + bx

a is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

NOTE:

In order to find numerical values you need at least two points in order to find the slope (t1,h1), (t2,h2), with this equation:

b = \frac{h_{2} - h_{1}}{t_{2} - t_{1}\\ } \\

Next you find a when x = 0, y = a, where y is one of the points that you want to evaluate.

With these values you put them in this equation h = a + b * t and that's it! You will find the height of the candle after t hours.

5 0
3 years ago
The states C and D spend a total of ​$54.3 million for tourism. The state C spends ​$1.7 million more than the state D. Find the
Harrizon [31]

Answer:

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So C = D + 1.7

C + D = 54.3

Instead of C we can write D + 1.7

So D + 1.7 + D = 54.3

So 2D + 1.7 = 54.3

So 2D = 52.6

D = 26.3 and C = 28

5 0
2 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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