Yes, there is enough space . If the guinea pigs need 12 feet, and 5*3= 15 feet then they have enough.
( idk if means 12 feet of living space for each or all 3 , but here i hope it helps :) )
-5+-5=-10 so the sum is -10
Notice all the important features of the graph,
1) The graph is a parabola;
2) Roots are -2, -1
3) A point is (-3, 2)
Put all this information into an equation;
y=a(x-r)(x-s)
y=a(x+1)(x+2) <-- signs revered due to the negative sign
2=a(-3+1)(-3+2) <-- put in the values of x and y to find a
2=a(-2)(-1)
2=a(2)
2/2=a
1=a
y=(x+2)(x+1) <-- find in standard form by expanding
y= x²+x+2x+2
y=x²+3x+2
Therefore, the correct option is the second one;
Hope I helped :)
Answer:
Step-by-step explanation:
Geometry allows students to connect mapping objects in the classroom to real-world contexts regarding direction and place. Understanding of spatial relationships is also considered important in the role of problem solving and higher-order thinking skills.
This is not a polynomial equation unless one of those is squared. As it stands x=-.833. If you can tell me which is squared I can help solve the polynomial.
Ok, that is usually notated as x^3 to be clear. I'll solve it now.
x^3-13x-12=0
Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1
Then you have x^2-x-12 now you complete the square.
Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:
The x-term coefficient = −1
The half of the x-term coefficient = −1/2
After squaring we have (−1/2)2=1/4
When we add 1/4 to both sides we have:
x2−x+1/4=12+1/4
STEP 3: Simplify right side
x2−x+1/4=49/4
STEP 4: Write the perfect square on the left.
<span>(x−1/2)2=<span>49/4
</span></span>
STEP 5: Take the square root of both sides.
x−1/2=±√49/4
STEP 6: Solve for x.
<span>x=1/2±</span>√49/4
that is,
<span>x1=−3</span>
<span>x2=4</span>
<span>and the one from before </span>
<span>x=-1</span>