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2 years ago

What is the equation for a line that passes through the point (-1,4) and has a slope of -3

Mathematics

2 answers:

VladimirAG [237]2 years ago

8 0

Answer:

y=-3x+1

Step-by-step explanation:

y=mx+b

-3=m

b=-1

y=-3x+1

Please leave a 'thanks' if this helps!

taurus [48]2 years ago

7 0

Answer:

y = - 3x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = 3 + c ⇒ c = 4 - 3 = 1

y = - 3x + 1 ← equation of line

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Mario is constructing a square dart board. It will consist of a smaller square centered in a larger square. The smaller square m

Ivan

Answer:

6 inches.

Step-by-step explanation:

Let a represent side length of larger square.

We know that area of square is square of its side length, so area of the larger square will be $a^2$ .

The area of smaller square would be $4^2$ .

We will use proportions to solve our given problem.

$\frac{\text{Area of smaller square}}{\text{Area of larger square}}=\frac{4}{9}$

$\frac{4^2}{a^2}=\frac{4}{9}$

$\frac{16}{a^2}=\frac{4}{9}$

Cross multiply:

$4*a^2=16*9$

$\frac{4*a^2}{4}=\frac{16*9}{4}$

$a^2=36$

Take square root:

$a=\pm\sqrt{36}$

$a=\pm 6$

Since the length cannot be negative, therefore, the side length of larger square is 6 inches.

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2 years ago

Graph y=-6(3)^x please do the table and the graph 20 POINTS!

Margarita [4]

Answer:

Explanation to the answer below... (Answers in the Explanation)

Step-by-step explanation:

We Know that our rule is y = $y = -6(3)^{x}$ , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

$y = -6(3)^{x}\\y = -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18$

2nd, point

$y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54$

3rd Point

$y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162$

4th Point

$y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\$

5th Point

$y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458$

6th Point

$y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\$

7th Point (Last Point)

$y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122$

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...

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2 years ago

Of the 423 students entering as freshmen at a small liberal arts school, 1 out of 3 will be participating in

Allisa [31]

Answer:

About 141 students would attend.

Step-by-step explanation:

423/3=141

4 0

1 year ago

TELE

Aleonysh [2.5K]

Answer:

$23271.49

Step-by-step explanation:

The function $C(t) = C(1 + r)^{t}$ models the rise in the cost of a product that has a cost of C today, subject to an average yearly inflation rate of r for t years.

Now, if the average annual rate of inflation over the next 8 years is assumed to be 2.5% then we have to find the inflation-adjusted cost of a $19100 motorcycle after 8 years.

Therefore, the cost will be $C(8) = 19100(1 + \frac{2.5}{100} )^{8} = 23271.49$ dollars. (Answer)

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3 years ago

A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Ea

grandymaker [24]

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2 years ago

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