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Tpy6a [65]
2 years ago
12

If 1/4x +2y= 11/4 and - 6y - x = 7, what is half of y?

Mathematics
1 answer:
ioda2 years ago
8 0

Answer:

y/2 = 4.5

Step-by-step explanation:

1/4x + 2y = 11/4

distribute by 4 to eliminate fractions

  x + 8y = 11

+ <u>-x - 6y = 7</u>

        2y = 18

          y = 9

half of 9 = 4 1/2

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1. Which inference can you make by comparing the measures of center?
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2 years ago
Write the limit as a definite integral on the interval [a, b], where ci is any point in the ith subinterval. Limit Interval lim
geniusboy [140]

Answer:

The corresponding definite integral may be written as

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x

The answer of the above definite integral is

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x = 98

Step-by-step explanation:

The given limit interval is

\lim_{||\Delta|| \to 0}  \sum\limits_{i=1}^n (4c_i + 11) \Delta x_i

[a, b] =  [-8, 6]

The corresponding definite integral may be written as

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x

\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x

Bonus:

The definite integral may be solved as

\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x \\\\\frac{4x^2}{2} + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\2x^2 + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\ 2(6^2 -(-8)^2 ) + 11(6 - (-8) \\\\2(36 - 64 ) + 11(6 + 8) \\\\2(-28 ) + 11(14) \\\\-56 +154 \\\\98

Therefore, the answer to the integral is

\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x  = 98

5 0
3 years ago
The sum of two-thirds of a number and twenty
Ede4ka [16]

Answer:

2/3n + 20

Step-by-step explanation:

4 0
3 years ago
Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
ahrayia [7]
Plug -5 into both of them and divide:

\sf\dfrac{2x-20}{x-1}

\sf\dfrac{2(-5)-20}{-5-1}

Simplify:

\sf\dfrac{-10-20}{-6}

\sf\dfrac{-30}{-6}

\boxed{\sf 5}
7 0
3 years ago
Read 2 more answers
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