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Brrunno [24]
3 years ago
10

(-11x+31y) - 2(-x + 5y)

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

<u>Answer:</u>

Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y Hence option C is correct

<u>Solution:</u>

Given expression is (-11x+31y) - 2(-x + 5y)

Need to find equivalent expression from four given option.

Let’s first simplify the given expression

(-11x+31y) - 2(-x + 5y)

On opening the brackets we get

-11x + 31y + 2x -10y

Now bringing similar terms together and performing appropriate operation, we get

-11x + 2x + 31y + -10y

Taking common terms out we get,

=> (-11 + 2) x + (31 -10) y

= -9x +21y

Therefore Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y.

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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

3 0
3 years ago
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Alchen [17]

Answer:

150

Step-by-step explanation:

Multiply 3 x 5 x 10

4 0
3 years ago
Play Ball Little League baseball games are only played on Tuesday nights and Saturday afternoons. Rod is playing center field. I
SOVA2 [1]
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3 years ago
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Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

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3 years ago
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