Jaleel wrote a book. He wants to print some copies for

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

Yes. there is a fixed cost and variable cost.

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

7 0

3 years ago

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC

Alik [6]

If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14

3 0

3 years ago

The table below shows the number of invertebrates found in a tide pool. Find the ratio of crabs to the total number of invertebr

Kitty [74]

The ratio is 9:52. Meaning there is 9 crabs in the tide pool compared to all other invertebrates in the tide pool (including crabs). Crabs are also probably higher on the food chain because there is less of them, meaning they require more food then the other invertebrates.
Hope this helps!

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3 years ago

Choose the best estimate for the multiplication problem below. 91 x 61

Umnica [9.8K]

Answer:

B 5400

Step-by-step explanation:

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3 years ago

Which of the following could be the lengths of the sides of a 45°-45°-90° triangle

seraphim [82]

45degrees because angles can not be negative