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Colt1911 [192]
3 years ago
10

Consider the system of equations

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
7 0

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

2(5x-2y=1)

10x-4y=2

now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

10x-4y=2 equals

2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

Gekata [30.6K]3 years ago
6 0
(-3,-8) would be the answer
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Over the summer, for every 14 Okra seeds Dana planted, 9 plants grew. If he planted 182 seeds how many grew into plants
Black_prince [1.1K]

Answer:

117

Step-by-step explanation:

182/14=13

13x9=117

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3 years ago
A frog leaps 24 inches. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function mode
Ivanshal [37]
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
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5 0
3 years ago
The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than i
Bezzdna [24]
Perimeter=4h+4

If the base is 2 more than the height, it gives us the equation:
b=h+2

The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.

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4 0
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Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
LuckyWell [14K]

Answer:

\frac{9}{24}

Step-by-step explanation:

Add all the sweets together ( that will be your denominator )

5+4+8+4+3= 24

The probability she will pick and yellow and orange ( add those numbers together)

Yellow + orange = Numerator

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How you answer should be lay out :

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7 0
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Suppose a certain candy is made up of​ red, yellow,​ green, blue, and orange pieces. ​a) If you draw one piece of​ candy, are th
riadik2000 [5.3K]

Answer:

(a) Disjoint

(b) Independent

(c) No

Explanation:

(a) Disjoint events are those events that are mutually exclusive or we can say that the two events can not occur at the same instant.

Thus in a single draw we can not get both yellow and green ball.

(b) Those events in which the probability of the occurrence of one event does not affect the probability of the happening of another event in any way.

Thus the two pieces drawn are from the infinite supply does not affect one another and hence are independent.

(c) No, since after one event has occurred the occurrence of the other one is not possible.

3 0
3 years ago
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