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Mathematics

1 answer:

vitfil [10]3 years ago

8 0

answer:

y=5.5x

explanation:

rise over run=rise/run= x/y

for every t shirt or "y" multiply 5.5 and it will give u the total cost or"x"

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An office girl buys 12cent and 8cent stamps. It she spends

katrin2010 [14]

Answer:

x=25

Step-by-step explanation:

x+y=100 (y being number of 8¢ stamps)

12x+ 8y = 900

-----------------------------------

y = 100-x

12x + 8y = 900

----------------------------------------

12x + 8(100-x) = 900

12x + 800 - 8x = 900

12x - 8x = 900 - 800

4x = 100

x=25

7 0

3 years ago

What would be the maximum value for f(x) = −5x2 + 9

Maru [420]

Well, looking at the expression, it has a -5 on the leading term, that means is not just a quadratic, but is a parabolic graph and because the coefficient of the leading term is negative, is upside-down, or opening downwards.

because it opens downwards, it looks like an arc, comes from the bottom up up up gets to a "maximum" or U-turn (vertex), then goes back down down down. So, where's the vertex anyway?

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
f(x) = &{{ -5}}x^2&{{ +0}}x&{{ +9}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{0}{2(-5)}~~,~~9-\cfrac{0}{4(-5)} \right)\implies (0~~,~~9)$

so, that's where the vertex is, and the maximum value for f(x), is the y-coordinate of course, or 9.

3 0

3 years ago

What is the measure of m?

nadezda [96]

Answer:

$n^{2} +18^{2} =x^{2}$