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3 years ago

Apparently the answer is -2. How do they get that?

Mathematics

1 answer:

jasenka [17]3 years ago

8 0

H(x) is just a transformation of f(x).

The transformation is the '2x-3' inside of function 'f'.

Let x = 4, Then 2x-3 = 2(4) - 3 = 5.

This means that h(4) = f(5)

Use the given table to find f(5).

f(5) = -2

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LenKa [72]

Answer:

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2 years ago

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natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

$x\approx 36.5$

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3 years ago

The bureau of labor statistics reported the consumer price index as 211.4 in december 2007, and 231.1 in december 2012. by what

Anvisha [2.4K]

The first step to determine the percentage of increase is to compute for the difference of consumer price index in value.

231.11 (consumer price index for 2012) – 211.4 (consumer price index for 2007) = 19.71 (increase)

To compute for the percentage of increase, you need to compare the increase to the consumer price index for 2007.

19.71/211.4 = 9.3% increase

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3 years ago

An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?

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(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)

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