Solve the system by the substitution method 8x - 3y = -22 y = 5x + 19

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

1) 3/8y + -11/4

2) linear

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What was the error made in this conversion?

Snowcat [4.5K]

Answer:

B.) The 1,609 meters and the 3,218 meters in Step 1 should be switched.

Step-by-step explanation:

Step 1 is incorrect. It should be:

3218 meters x 1 mile / 1609 meters = 2 miles

Correct answer option is B

4 0

3 years ago

Im so confused pls help

uranmaximum [27]

Answer:

2,3

Step-by-step explanation:

Let the first number be x

Hence, its next consecutive integer = x+1

$Reciprocal\ of\ the\ first\ integer\ = \frac{1}{x} \\Reciprocal\ of\ the\ second\ integer\ = \frac{1}{x+1} \\\\As\ we\ are\ given\ that\ their\ sums\ are\ \frac{5}{6} ,\\\frac{1}{x} + \frac{1}{x+1} = \frac{5}{6} \\\\Through\ butterfly\ method\ of\ resolving\ the\ denominators\,\\\frac{(x+1)+x}{x(x+1)} = \frac{5}{6} \\\frac{2x+1}{x^2+x} =\frac{5}{6} \\6(2x+1)=5(x^2+x)\\12x+6=5x^2+5x\\\\Now, lets\ bring\ all\ the\ terms\ in\ the\ LHS\ to\ RHS.\\\\Hence,\\0=5x^2+5x-12x-6\\5x^2-7x-6=0\\$

By Factorizing the expression on the LHS. we get it equal to :-

$5x^2-7x-6=0\\5x^2-10x+3x-6=0\\5x(x-2) + 3(x-2) = 0\\(5x+3)(x-2)=0$

Hence, we get two solutions for x, x=2, x= -3/5

As x is an integer, x=2 is the most suitable solution in this case.

Hence,

The numbers are 2,3

5 0

4 years ago

Only question 10. please

Klio2033 [76]

For a, the circle would be quadrupled and the circumference will also be doubled

For b, the circumference will also be tripled

6 0

3 years ago

Which is the last number i am confused? plz help

Readme [11.4K]

Of course, the number is 7.

You have its square and its cube.

To find x from its square: √49 = 7

To find x from its cube: cubic root of 343 = 7

You made a mistake in the first column. The cubic root of 8000 is 20. The square of 20 is 400

8 0

3 years ago

2. Find the sum of the geometric series.

stepladder [879]

Answer:

324

Step-by-step explanation:

** The attachment shows an arithmetic sequence **

Sum of Arithmetic Series formula

$S_n=\dfrac12n(a+l)$