3 years ago

Which conjunction or disjunction is equivalent to the this inequality?

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

5 - 3lp + 4l ≤ -10

Subtract 5 from both sides.

-3lp + 4l ≤ -15

Divide both sides by -3.

|p + 4| ≤ 5

p + 4 ≤ -5 or p + 4 ≥ 5

Answer is option C. p + 4 ≥ 5 or p + 4 ≤ -5

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Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t

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3 years ago

Hadley buys 7 boxes of markers with 8

Natalka [10]

Answer:

128

Step-by-step explanation:

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4 years ago

Read 2 more answers

To convert meters per minute to kilometers per hour, which of the conversion facorts would be used?

madam [21]

Divide by 1000 to convert to kilometers per minute

Then multiply by 60 to convert to kilometers per hour.

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3 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)

vredina [299]

a vertical axis, I assume it means a vertical axis of symmetry, thus it'd be a vertical parabola, like the one in the picture below.

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \qquad \leftarrow vertical\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies y=a(x-0)^2+0 \\\\\\ \textit{we also know that } \begin{cases} x=-2\\ y=3 \end{cases}\implies 3=a(-2-0)^2+0\implies 3=4a \\\\\\ \cfrac{3}{4}=a~\hspace{10em}y=\cfrac{3}{4}(x-0)^2+0\implies \boxed{y=\cfrac{3}{4}x^2}$