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2 years ago

Aubree mowed 12 lawns in 10 hours. What was her rate of mowing in hours per Lawn?

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

Answer: 1.25 lawns/per hour

Step-by-step explanation:

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Identify the zeros of the quadratic function.

cluponka [151]

Is there a b ok but it’s A

4 0

2 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-inte

GalinKa [24]

Y=2/9x+9

y-y1=m(x-x1) is the formula you use

5 0

3 years ago

15 is 10 percent of what number

aksik [14]

Your answer is 1.5 if you multiply 15 by 10% you get 1.5 and if you ivide 1.5 by 10% you get 15 so you can find your answer and check it
hope this helps have a nice day.

4 0

2 years ago

A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle

Setler [38]

Answer:

3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

Group:

x + x + x - 6 + 2 - 9

3x - 13

8 0

3 years ago