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kari74 [83]
3 years ago
9

Which of the following equations represents the line with a slope of negative 8/7 and a y-intercept of negative 3?

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Solution

The general form of the equation is y = mx + b, where m is the slope and b is the y-intercept.

Given: m = 8/7 and b = -3

Plugin the given values into the formula.

y = 8/7x - 3

The answer is y = 8/7x - 3

Thank you :)

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love history [14]

Answer:

x=-2

Step-by-step explanation:

\frac{1}{6{x}^{2} }  =  \frac{1}{2x}  + \frac{7}{6 {x}^{2} }  \\  \frac{7}{6 {x}^{2} }  -  \frac{1}{6{x}^{2} }  +  \frac{1}{2 {x} }  = 0  \:  \:  \: \:  \:  ( -  \frac{1}{6 {x}^{2} } \: throughout) \\  \frac{6}{6 {x}^{2} }  +  \frac{1}{2x}  = 0  \:  \:  \:  \:  \: (simplify)\\ \frac{1}{ {x}^{2} }  +  \frac{1}{2x}  = 0 \\   \frac{2 {x}^{2} }{ {x}^{2} } +  \frac{2 {x}^{2} }{2x}  = 0 \:  \:  \:  \:  \: ( \times 2 {x}^{2} \:  throughout) \\ 2 + x = 0  \:  \:  \:  \:  \: (simplify)\\ x =  - 2

4 0
3 years ago
If 15 litres of paint covers an area of 250 m2, what area (in m2) will 20 litres of paint cover?
Korvikt [17]

Answer: 333.33m²

Step-by-step explanation:

Since we are informed that 15 litres of paint covers an area of 250 m2, the the area that 1 liter of paint will cover will be:

= 250m²/15

= 16.666667m²

Therefore, the area that 20 litres of paint will cover will be:

= 16.666667m² × 20

= 333.33m²

8 0
2 years ago
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than
Tems11 [23]

Answer:

$3.75

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify 3^5/3^2.<br> I do have a basic understanding but I need help on this.
ahrayia [7]
The answer is:  " 27 " .
__________________________________________

3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
__________________________________________
-Edit -- Note the following property of exponents :  "quotient rule" of exponents:
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Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero"; 
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  If a <span>≥ b ,  then:

   x</span>ᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
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If a <span>< b , then:
</span>
xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
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7 0
3 years ago
A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller,
zhuklara [117]

Answer:

285.74\text{ inch}^2

Step-by-step explanation:

GIVEN: A bicycle training wheel has a radius of 3\text{ inch}. The bicycle wheel has a radius of 10\text{ inch}.

TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.

SOLUTION:

radius of bicycle wheel =10\text{ inch}

area of bicycle wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times10^2

                                    =314\text{ inch}^2

radius of bicycle training wheel =3\text{ inch}

area of bicycle training wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times3^2

                                    =28.26\text{ inch}^2

difference in area of bicycle wheel and bicycle training wheel

=\text{area of bicycle wheel}-\text{area of bicycle training wheel}

=314-28.26

=285.74\text{ inch}^2

hence the training wheel is 285.74\text{ inch}^2 smaller than regular wheel

4 0
2 years ago
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