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3 years ago

Factor to find the zeros of the function defined by the quadratic expression. −7x2 − 91x − 280

1 answer:

3 0

There are no zeroes for an expression, only for equations.
Assuming equation to be
−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties,
x+8=0 => x=-8
or
x+5=0 => x=-5

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Braydon is at the 10-mile Marker at the park to run. He can run at a pace of 3 miles per hour. Lauren is at the 12-mile marker a

madreJ [45]

it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .

Step-by-step explanation:

Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:

Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :

⇒ $3t+10$

Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :

⇒ $1.5t + 12$

Equating both we get :

⇒ $3t+10=1.5t+12$

⇒ $1.5t=2$

⇒ $t=\frac{2}{1.5}$

⇒ $t=1.33$

Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .

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3 years ago

Graph the equation 2x + 3y = 9

jeka57 [31]

$2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3$

Look at the graph picture I attached

$y = mx + c$

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

$y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)$

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Find an equation of the line that passes through the given point and has the indicated slope m.

Darina [25.2K]

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

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