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Digiron [165]
3 years ago
9

Solve the following system of equations 5x+2y=1 y=1-3x

Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

Step-by-step explanation:

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The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature o
irina1246 [14]

Answer:

The temperature of the liquid 15 minutes later is 151.5

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5

3 0
3 years ago
What is the area of the composite figure 262 264 266 268
sineoko [7]

Answer:

264cm2

Step-by-step explanation:

the length of line in green = 5 cm

the length of line in yellow = 3 cm

the length of line in red = 6 cm

the length of line in white = 16 cm

the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2

5 0
4 years ago
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A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each
Svetradugi [14.3K]
The order does not matter, so we will be using combinations here. 52C1 is the first one since there is only one possibility. 16C1 is the second. You have to multiply these two, so 52 X 16 = 832.
3 0
3 years ago
I need help with math homework
kobusy [5.1K]

Answer:

A. (0, 1) and (2, -2)

B. Slope (m) = -³/2

C. y + 2 = -³/2(x - 2)

D. y = -\frac{3}{2}x + 1

E. \frac{3}{2}x + y = 1

Step-by-step explanation:

A. Two points on the line from the graph are: (0, 1) and (2, -2)

B. The slope can be calculated using two points, (0, 1) and (2, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2} = -\frac{3}{2}

Slope (m) = -³/2

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (2, -2), and m = -³/2 into the point-slope equation, y - b = m(x - a).

Thus:

y - (-2) = -³/2(x - 2)

y + 2 = -³/2(x - 2)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 2 = -³/2(x - 2)

2(y + 2) = -3(x - 2)

2y + 4 = -3x + 6

2y = -3x + 6 - 4

2y = -3x + 2

y = -3x/2 + 2/2

y = -\frac{3}{2}x + 1

E. Convert the equation in (D) to standard form:

y = -\frac{3}{2}x + 1

\frac{3}{2}x + y = 1

8 0
3 years ago
Find the sum of the first 7 terms for the geometric series for 1/3+1+3+9+...
Kitty [74]
I think it is
(1/3)+1+3+9+27+81+243
=364/1/3
=1093/3
7 0
3 years ago
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