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3 years ago

Which relation is a function?

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Look for the case in which every input is unique (no repetitions).

A does not qualify, as 3 appears as an input twice.

B does not qualify, for the same reason

C qualifies (is a function), because all the inputs {1, 2, 3, 4} are unique.

D does not qualify (see A, above).

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PLEASE HELP I AM STUCK ON THIS

Fofino [41]

Answer:

Step-by-step explanation:

This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

$sin(x)=\frac{32}{58}$

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

$sin^{-1}($

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!

4 0

3 years ago

Which of the following has a solution set of {x | x = 0}?

notka56 [123]

Answer:

(b) (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {x | x = 0}

Step-by-step explanation:

Here, the given expression is : {x | x = 0}

So, the ONLY element in the given set = {0}

Now, take each option and solve the given expression:

(a) x + 1 < -1

Adding -1 BOTH sides, we get:

x + 1 -1 < -1 -1

or, x < - 2 ⇒ x = { -∞ , .... , -4,-3}

Also, x + 1 < 1

Adding -1 BOTH sides, we get:

x + 1 -1 < 1 -1

or, x <0 ⇒ x = { -∞ , .... , -4,-3,-2,-1}

So, (x + 1 < -1) ∩ (x + 1 < 1) = { -∞ , .... , -4,-3}∩ { -∞ , .... , -4,-3,-2,-1}

= { -∞ , .... , -4,-3}

⇒ (x + 1 < -1) ∩ (x + 1 < 1) ≠ {0}

Similarly, solving

(b) (x + 1 ≤ 1) ∩ (x + 1 ≥ 1)

(x + 1 ≤ 1) = x≤ 0 = { -∞ , .... , -4,-3,-2,-1, 0}

(x + 1 ≥ 1) = x ≥ 0 = {0,1,2,3,... ∞}

⇒ (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {0}

(b)(x + 1 < 1) ∩ (x + 1 > 1)

(x + 1 < 1) = x < 0 = { -∞ , .... , -4,-3,-2,-1}

(x + 1 > 1) = x > 0 = { 1,2,3,... ∞}

⇒ (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = Ф

Hence, (x + 1 ≤ 1) ∩ (x + 1 ≥ 1) = {x | x = 0}

8 0

3 years ago

Read 2 more answers

Brooklyn began her school day with 25 pieces of gum and gave x amount away. Amy

malfutka [58]

Answer:15

Step-by-step explanation:

3 0

2 years ago

What is the parent function of the following function?<br> f(x) = 3(5)*

Vlad [161]

I think it’s 15 f(x) 15

7 0

3 years ago

What is the slope of the line with an equation of 5x - 3y = -12

Hoochie [10]

Answer: $m=\frac{5}{3} =1.67$

Step-by-step explanation:

Original equation: $5x-3y=-12$
Subtract 5x from both sides of the equation: $-3y=-5x-12$
Divide both sides of the equation by -1: $3y=5x+12$
Divide both sides of the equation by 3 to get y on the left, leaving the equation in $y=mx+b$ form: $y=\frac{5}{3}x+4$
Evaluate. Slope is equal to m in this form, so the slope is $m=\frac{5}{3}$ .

Hope this helps!

5 0

2 years ago