The x intercepts are -2 and 5. First, you factor the equation and get (2x+4)(2x-10), then solve for the x's. If you have more problems like this, there's a great online calculator that can help with graphing. www.symbolab.com. It tells you the intercepts if you plug in the equations. Hope this helps!
Highest mileage
m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K
The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
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<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
</span><span>h = <span>–b</span>/<span>2a</span> = -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k= -30.025</span><span>k= -</span>30.0<span>
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Answer:
see explanation
Step-by-step explanation:
Alternate exterior angles are congruent, thus
∠ RST = ∠ RQP , substitute values
7x + 11 = 4x + 32 ( subtract 4x from both sides )
3x + 11 = 32 ( subtract 11 from both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Thus
∠ RST = 7(7) + 11 = 49 + 11 = 60°
∠ RQP = 4(7) + 32 = 28 + 32 = 60°
Together, the area of the two bases is
(6 in)×(8 in) = 48 in²
The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
(2 in)×(24 in) = 48 in²
The total area is the sum of these
area = 48 in² +48 in² = 96 in² . . . . . . . . . matches the 3rd selection
With each number added to this sequence, the number is multiplied by 2.
so with 48 being the fifth number, 48 times two is 96 which would be the sixth number in this sequence, hopefully this well help you to get the tenth number ?
