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Damm [24]
3 years ago
5

I’m not sure how to do this please help

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

B :step 2   she didnt collect all the like terms and calculate

Step-by-step explanation:

first rewrite  remove all (  )Parentheses

2nd   collect all like terms and calculate

a^4 + 7a -16 -12^a^3 + 5a -3

a^4 + 12a - 19 - 12a^3     ( Like terms are 7a +5a  and -16 +-3)

so she skipped the second step

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|x-1| if x&gt;1<br> how do you simplify this
JulsSmile [24]

Use the definition of absolute value.

|x| = \begin{cases} x & \text{if } x \ge0 \\ -x & \text{if } x < 0 \end{cases}

The absolute value is always non-negative. So if x is already non-negative, |x|=x is unchanged. But if x is negative, then |x|=-x because multiplying x by -1 makes it positive.

Now, if x>1, then by the definition of absolute value,

x > 1 \implies x - 1 > 0 \implies \boxed{|x - 1| = x - 1}

4 0
2 years ago
Convert 68F to degrees cleius. Using the formula c=5(F-32)/9 where C=temperature in Celsius
Pavel [41]

Answer:

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Step-by-step explanation:

c = 5(68-32)/9

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3 0
3 years ago
Rearrange 2x = y/w to make w the subject​
frutty [35]
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3 0
3 years ago
Can someone help me? Solve for x.
Luda [366]
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3 0
3 years ago
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

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The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
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