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Varvara68 [4.7K]
3 years ago
13

Please help with this exercise..

Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

a. 1.0453 minutes/ft²

b. 120 minutes (2 hours)

c. $50

Step-by-step explanation:

a. The area is (10.5 ft)×(12.3 ft) = 129.15 ft². Then the time per square foot is ...

... (2.25 hours)/(129.15 ft²) ≈ 0.0174216 hours/ft² ≈ 1.0452396 min/ft²

b. Multiplying the number of square feet by the time per square foot gives the time for the smaller area:

... (1.0452396 min/ft²) × (114.8 ft²) = 120 min = 2 hours

c. The charge is assumed to be proportional to the time, so the charge for the smaller time is ...

... (2 hours)/(2.25 hours) × $56.25 = (8/9)×$56.25 = $50.00

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3 years ago
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Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
lesya692 [45]

Answer:

x = -6

Step-by-step explanation:

Combine like terms.

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2 years ago
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Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross
AleksandrR [38]

Answer: See below

Step-by-step explanation:

<u>To find the factor,</u>

f(x) = 0

\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}

<u>So,</u>

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

<u>Therefore,</u>

x = 0 multiplicty 2, Touch

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x = 6 multiplicty 1, Cross

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