We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
<span>5x²y + 2xy² + x²y
Combining like terms would be
6x²y + 2xy²
The two terms are now unique and cannot be combined any further. </span><span>
</span>
Answer:
x-5
Step-by-step explanation:
So glad I could help! Here's why well we do definitely need to factor the area.
Because when factoring we have to expressions multiplying by each other.
A=LxW
Factored Expression=(x+5)(x-5)
See now it's LxW.
IF that makes sense and helped you please hit Thank button!
Also mark brainliest answer.
Glad I could help!
Answer:
Raquel should adjust the number of rotations to 115.81 rotations
Step-by-step explanation:
step 1
Find the circumference of the wheels that are 2.5 cm in diameter
The circumference is equal to
we have
assume
substitute
step 2
Find the number of rotations
Divide 10 meters by the circumference
step 3
For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance
Find the circumference of the wheels
The circumference is equal to
we have
assume
substitute
step 4
Find the number of rotations
Divide 10 meters by the circumference
