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Anna [14]
3 years ago
15

What is the range of the function f(x) = |x| +2?

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0
Imagine the graph of f(x)=|x|. This can only output positive values (x \geq 0).

Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is x \geq 2
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Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
arlik [135]

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (3, 8 ) into the partial equation

8 = 9 + c ⇒ c = 8 - 9 = - 1

y = 3x - 1 ← equation of parallel line

6 0
3 years ago
today's local newspaper lists 20 stocks of local interest. of those stocks ten increased five decreased and five remained unchan
coldgirl [10]

Answer:

P(x=2) = 0.2368

Step-by-step explanation:

given data

stocks of local interest N = 20

stocks increased K = 10

stocks decreased =  5

remained unchanged = 5

solution

we take here no of stock that are increased randomly n = 2

so here Hypergeometric random variable can take integer value

{max(0, n+k - N ), min(n,K) } = {0,2}

so here

P(x=2)

so

P(x=k)  = \frac{(^K_k)\times (^{N-K}_{n-k}) }{(^N_n)}      .......................1

P(x=2 ) = \frac{(^{10}_2)\times (^{20-10}_{2-2}) }{(^{20}_2)}    

solve it we get

P(x=2 ) = 0.236842

now we use excel function as

HYPGEOM.DIST (k,n,N.cumulative)   .....................2

so it will be

HYPGEOM.DIST (2,2,10,,false)

we get

HYPGEOM.DIST (2,2,10,,false)  = 0.236842

so

P(x=2) = 0.2368

4 0
3 years ago
Katlyn made 4 dresses with 7 yards of fabric. How many yards did she use on 1 dress?
Murrr4er [49]

Answer:

the answer would be 1.75 or 1 3/4

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
the graph to the right represents mario’s mile time in minutes, y, based on the number of hours he spends training in hours , x
sveta [45]

Answer: it is 13+13=26

Step-by-step explanation:

I don’t care.

3 0
2 years ago
Which expression is equivalent to the one below?<br> (26 x 96) = 1814
vfiekz [6]

Answer:

the answer is A.

Step-by-step explanation:

(2^{6}×9^{6})÷18^{14}

2×9= 18

6+6= 12

18^{12}÷18^{14}

18^{12-14}= 18^{-2}

1/18^{-2}

3 0
3 years ago
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