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yarga [219]
3 years ago
10

Can u help me with this

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0
A graphing calculator is a great help for problems of this nature.
  x ∈ {-5.63, -0.55, 2.59}

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(no links) PLS HELP AGAIN I LOVE U
Minchanka [31]

y = 3(x + 4)^2 + 31

Step-by-step explanation:

We can convert the given quadratic equation into its vertex form by completing the square:

y = 3x^2 + 24x + 43

= 3(x^2 + 8x) + 43

= 3(x^2 + 8x + 4) + 31

= 3(x + 4)^2 + 31

This is the vertex form of the given quadratic equation with (-4, 31) as its vertex

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2 years ago
Emily needs enough Fabric for 3 1/2 hats. Since she has half a hat done. If each bag requires 1 2/7 ft of Fabric, how much fabri
kow [346]

first off let's convert the mixed fractions to improper fractions.

\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{2}{7}}\implies \cfrac{1\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{9}{7}}

she already did half a hat, so we can say   \cfrac{7}{2}-\cfrac{1}{2}\implies \cfrac{7-1}{2}\implies 3

so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so

3\cdot \cfrac{9}{7}\implies \cfrac{27}{7}\implies 3\frac{6}{7}

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