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3 years ago

6

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

1 answer:

iris [78.8K]3 years ago

4 0

Answer:

x=4 and x= - 5

Step-by-step explanation:

In order to solve this we should re-arrange the equation:

$(x-4)(x+5)=\frac{0}{3}$

This is equal to:

$(x-4)(x+5)=0$

Then we can seperate this into:

$(x-4)=0\\(x+5)=0$

So solving for x in both cases we get

$x-4=0 \\x=4\\And\\x+5=0\\x=-5\\$

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If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi

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3 years ago

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

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We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

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The reqiured quadratic function is

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7 0

3 years ago

Help please need help with this stuff thank you again for helping

Alex777 [14]

Slope intercept form: y = mx + b

Where m = slope and b = y-intercept.

By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.

So now we have: y = mx + 1/2

Next, we'll find the slope. $\frac{y_2-y_1}{x_2-x_1}$

Plug the coordinates into the formula.

$\frac{3-(-2)}{4-(-4)}= \frac{5}{8}$

So our slope is 5/8 and the y-intercept is 1/2.

Option A is the answer.

6 0

3 years ago