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3 years ago

A line passes through the points (5, –7.5) and has a y-intercept 10.

Mathematics

1 answer:

andrezito [222]3 years ago

4 0

Answer: y = -3.5x + 10 so C.

Step-by-step explanation: We’re in same class and I got that right :) lmk if you need help or answers .

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3 years ago

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3 years ago

Find the quotient of 4 2/3 ÷ 2 2/5

Sveta_85 [38]

<h3>Solution:</h3>

$4 \frac{2}{3} \div 2 \frac{2}{5} \\ = \frac{14}{3} \div \frac{12}{5} \\ = \frac{14}{3} \times \frac{5}{12} \\ = \frac{70}{36} \\ = \frac{35}{18} \\ = 1 \frac{17}{18}$

<h3>Answer:</h3>

$1 \frac{17}{18}$

6 0

3 years ago

Read 2 more answers

What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

1²+3²+4²+.......+(2n-2)²= ⅓n(2n-1)(2n+1)

sergiy2304 [10]

1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
  1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1) 16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
  26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
  4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
  4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
  + ¹/₃n + ¹/₃n
   4n² - 7²/₃n + 30 = 1¹/₃n³
-1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
-3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
  4n³ - 12n² + 23n - 90 = 0

8 0

4 years ago