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3 years ago

If f(x) = 3x to the 2nd+ 1 and g(x) = 1-x, what is the value of (f-g)(2)?

1 answer:

3 0

$\displaystyle\\f(x)=3x^2+1\\g(x)=1-x\\\\(f-g)(x)=f(x)-g(x)=3x^2+1-(1-x)=3x^2+1-1+x=\boxed{3x^2+x}\\\\(f-g)(2)=f(2)-g(2)=3\cdot2^2+2=3\cdot4+2=12+2=\boxed{14}$

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Carson bought a coat for 40% of the original price, then another 15% off the discounted price. If the coat originally cost $149,

irinina [24]

Answer: $75.99

Steps: 149×0.6= 89.4
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3 years ago

25.

bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 45º.

The vertical distance is the height of h.

The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

$\tan{\theta} = \frac{2}{3}$

$\theta = \arctan{\left(\frac{2}{3}\right)}$

$\theta = 33.69^\circ$

More can be learned about the slope concept at brainly.com/question/18090623

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2 years ago

What's the reciprocal of 2 4/7 ?

Gnom [1K]

Answer:

7/18

Step-by-step explanation:

² $\frac{4}{7}$ =((2*7)+4)/7

2*7=14

14+4=18

18/7⇒7/18

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3 years ago

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3 years ago

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Artemon [7]

Answer:

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2 years ago