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2 years ago

Look at the attachment

Mathematics

1 answer:

Umnica [9.8K]2 years ago

3 0

Answer:

Step-by-step explanation:

Given y = f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The translation $\left[\begin{array}{ccc}0\\-3\\\end{array}\right]$ represents a vertical translation with c = - 3, thus

y = sin x - 3 → D

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A jeweler wants to make 14 grams of an alloy that is precisely 75% gold.. The jeweler has alloys that are 25% gold, 50% gold, &a

Goryan [66]

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

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$\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\$

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Let x grams of 82% gold and y grams of 25% gold added to make x+y=14 grams of 75% gold, so

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and $y = 14-x= 14-12.28=1.72$ grams.

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