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Nat2105 [25]
3 years ago
15

5-2(4a+1)+3a=13 A= 2/3 A= -2 A= -6/5 A=2

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

Answer:

                   a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

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Answer:

y = 5x - 13

Step-by-step explanation:

Slope of the line 5x + y = 2

Since, required line is parallel to the given line.

So, slope of required line = 5 (Parallel lines have same slope)

y - (- 3) = 5(x - 2)

y + 3 = 5x - 10

y = 5x - 10 - 3

y = 5x - 13

8 0
3 years ago
Subject: [Mathematics]​
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7 0
3 years ago
Read 2 more answers
The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per y
tia_tia [17]

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

8 0
3 years ago
Abha is climbing a mountain. While covering 20 yards of horizontal distance, Abha’s elevation increases by 40 yards. Consider Ab
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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