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stiks02 [169]
3 years ago
11

Solve the equation. 5/6x - 4 = -2

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Given

\frac{5}{6} x - 4 = - 2 ( add 4 to both sides )

\frac{5}{6} x = 2 ( multiply both sides by 6 to clear the fraction )

5x = 12 ( divide both sides by 5 )

x = \frac{12}{5} = 2 \frac{2}{5} → A

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The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
olga2289 [7]

Given the equation |x-72.5|=4.

When x is maximum, we have

|x-72.5|= x-72.5. Hence x-72.5 =4\\x=76.5

The maximum temperature is 76.5\; ^oF

When x is minimum, we have

|x-72.5|=72.5-x. Hence 72.5-x =4\\x=68.5

The minimum temperature is 68.5\; ^oF

7 0
3 years ago
Read 2 more answers
On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon
nalin [4]
E. 72
6 feet long cast shadow = 24 feet pole
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5 0
4 years ago
Help with these questions
balandron [24]

9514 1404 393

Answer:

  16) No

  17)  (c)

Step-by-step explanation:

For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.

16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.

  A^-1 = [[-.2, .3][-.2, -.2]]

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17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.

  BA=C

  c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37

This matches the third choice (C).

If you use a calculator to compute the full matrix product, it matches choice C in all details.

6 0
3 years ago
What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then 
y + 1 = 0
y = -1
so x - y = 6
     x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".

4 0
3 years ago
Read 2 more answers
Express the fractions 2/3, 3//4 and 5/6 as equivalent fractions with a denominator of<br>12​
lina2011 [118]

Answer:

like 2/3 or 15/16; Mixed number - like 1 1/2 or 4 5/6; Integer - like 5 or 28

Step-by-step explanation:

6 0
3 years ago
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