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tia_tia [17]
3 years ago
15

Evaluate the piecewise function for the given values.

Mathematics
1 answer:
adoni [48]3 years ago
5 0

Answer:

f(-3) = -2

f(-2.6) = -2

f(0.6) = 2.4

f(4.5) = 8.5

Step-by-step explanation:

(Whole question:

Evaluate the piecewise function for the given values.

Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)

As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2

For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

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Decrease 248 by 30%
Snowcat [4.5K]
Okay this equation really says is what is 30% of 248.

So, lets convert 30% to a fraction, 3/10 which is easier to work with.

All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4

So subtract 74.4 and get

173.6
8 0
3 years ago
Can someone please help me ASAP​
deff fn [24]

Answer:

QR = 17 cm

Step-by-step explanation:

Δ RST is a 5- 12- 13 triangle with hypotenuse RT = 13 cm , then

TS = 5 cm and PT = 2 × 5 = 10 cm

So PS = 10 + 5 = 15 cm

PS is parallel to the vertical line from vertex Q and intersects the horizontal line projected from SR of length 20 - 12 = 8 cm

Using the right triangle formed calculate QR using Pythagoras' identity

QR² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

QR = \sqrt{289} = 17

3 0
3 years ago
10. What are the x and y intercepts of the equation --30 + 5y = 15
Dafna1 [17]

Answer:

i think you had written the formula wrongly

so if it was -30x not -30

Step-by-step explanation:

x intercept when y=0

-30x = 15

x= -0.5

y intercept when x=0

5y= 15

y=3

- if this is the one you want

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4 0
3 years ago
What happens to the Law of Cosines if the known angle is 90 degrees?
poizon [28]

Answer:

See below.

Step-by-step explanation:

It transforms  to the Pythagoras theorem.

c^2  = a^2 + b^2 - 2ab cos C

If C = 90,  cos C = zero so the last term disappears.

c^2  = a^2 + b^2 - 2ab * 0

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8 0
3 years ago
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son4ous [18]

Answer:

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Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

  \dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74

Then the number of interest is ...

  17 37/50 = 17 74/100 = 17.74

3 0
3 years ago
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