93=30-e

Mathematics

1 answer:

iren [92.7K]3 years ago

5 0

Answer:

93+30=123 so e equals 123

Step-by-step explanation:

To check, do 123-30=93

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Solve the following system of equations: (5 points) 3x − 2y = 6 6x − 4y = 12

ASHA 777 [7]

<span>3x − 2y = 6 (1)
6x − 4y = 12 (2)
divide equation (2) by 2
3x - 2y = 6

equation (2) is same as equation 1
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3 years ago

It costs $107 for 10 students and $137 for 15 students. How much does it cost for 12 students?

Anestetic [448]

$\bf \begin{array}{ccccccccc}
&&\stackrel{students}{x_1}&&\stackrel{price}{y_1}&&\stackrel{students}{x_2}&&\stackrel{price}{y_2}\\
% (a,b)
&&(~{{ 10}} &,&{{ 107}}~) 
% (c,d)
&&(~{{ 15}} &,&{{ 137}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{137-107}{15-10}\implies \cfrac{30}{5}\implies \cfrac{6}{1}\implies 6$

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\\\\\\
y-107=6x-60
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3 years ago

Calculate the average rate of change of f(x) = x2 4 - 5 for 3 ≤ x ≤ 5. A) -2 B) - 4 3 C) 4 3 D) 2

mario62 [17]

Answer:

D)2

Step-by-step explanation:

ƒ(x) = x²/4 - 5; 3 ≤ x ≤ 5

Calculate the values of f(3) and f(5)

f(3) = 3²/4 - 5 = 9/4 - 5 = -2.75

f(5) = 5²/4 - 6 = 25/4 - 5 = 1.25

Calculate the average rate of change

Rate of change = (y₂ - y₁)/(x₂-x₁) = [1.25 -(-2.75)]/(5 - 3) = 4.00/2

= 2.00

The average rate of change is 2.00.

In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval (3, 5).

The value of ƒ(x) increases by two units for every unit that x increases.