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Scorpion4ik [409]

1 year ago

6

Do the following points represent a function? (0,2) (1,4) (0,4) (3,9) (5,8)

1 answer:

photoshop1234 [79]1 year ago

8 0

<h3>Answer: No, this isn't a function.</h3>

Why not? Focus on the two points (0,2) and (0,4)

We have the x value x = 0 show up twice. Any time x repeats itself like this, it leads to "not a function" as the result.

In other words, the input x = 0 leads to multiple outputs y = 2 and y = 4 at the same time. A function is only possible if every x input leads to exactly one y output.

If you are a visual learner, then plot all of the points on the same xy grid. Then notice how (0,2) and (0,4) fail the vertical line test to show we don't have a function.

Side note: The y values can repeat themselves in a function.

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REALLY EASY, REALLY NEED HELP

Dima020 [189]

My bad VectorFundament20, sheesh

Answer:

y=10x

Step-by-step explanation:

So y is basically 10 times x because each y value, 10, 20, 30 is coming from multiplying the x value by 10. For example, 0 = 10* 0, 10 = 10*1, 20 = 10*2, 30 = 10*3.

7 0

1 year ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

Charmaine is on the swim team. Each week she swims a total of 6,000 meters. How many kilometers does she swim each week?

alex41 [277]

Answer:

1000m = 1 km

:. 6000m=6000/1000 =6km ans

hope it helps

plz mark as brainliest.

3 0

2 years ago

Read 2 more answers

Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation

Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0

2 years ago

Prime factorization of 212

Montano1993 [528]

212= 2 X 2 X 53
212= 4X 53

6 0

2 years ago