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Alik [6]
3 years ago
6

Which of the following statements have the same result? Explain each step in solving each one.

Mathematics
2 answers:
laiz [17]3 years ago
6 0
<span>I. f(2) when f(x) = 3x + 2
</span> f(2) = 3(2) + 2=8
 III. 2y + 14 = 4y − 2
 4y- 2y = 14+2
 2y = 16 
 y=16/2=8
<span> statements have the same result</span>
Elan Coil [88]3 years ago
6 0

Answer:

All three statements have same results.

Step-by-step explanation:

Statement I: f(2) when f(x) = 3x + 2.

f(x)=3x+2

Put x=2.

f(x)=3(2)+2=8

The value of the function is 8. It means y=8 at x=2.

Statement II:f⁻¹(3). when f(x) = 2 x minus 7, all over 3.

f(x)=\frac{2x-7}{3}

Find the inverse of the function.

Step 1: Substitute f(x)=y

y=\frac{2x-7}{3}

Step 2: Interchange x and y.

x=\frac{2y-7}{3}

Step 3: Isolate y.

y=\frac{3x+7}{2}

Step 4: Substitute y=f⁻¹(x).

f^{-1}(x)=\frac{3x+7}{2}

Now, substitute x=3, to find f⁻¹(3).

f^{-1}(3)=\frac{3(3)+7}{2}=8

The result of statement II is 8.

Statement III: 2y + 14 = 4y − 2

2y+14=4y-2

14+2=4y-2y

16=2y

y=8

The result of statement III is 8.

Therefore all three statements have same results.

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two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?​
natulia [17]

Answer:

Pr = \frac{3}{36}

Step-by-step explanation:

Given

2 number die

Required

P(Sum = 4)

The sample space of 2 die is:

S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

n(S)= 36

The pairs that adds up to 4 are:

Sum(4) = \{(1,3), (2,2),(3,1)\}

n(Sum)  =3

So, the probability is:

Pr = \frac{n(Sum)}{n(S)}

Pr = \frac{3}{36}

5 0
3 years ago
This morning, Kevin's car had 13.8 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Kevin use?
lesantik [10]

Answer:

He used 11.9 gallons of fuel.

Step-by-step explanation:

You would subtract 1.9 from 13.8

Hope this helps!

7 0
2 years ago
Read 2 more answers
The sign shows the prices of various school
mars1129 [50]

Answer: (D) 1.99x + 1.89y = 9.57

Step-by-step explanation: The reason is because equation option D states that for every notepad and pencil, x and y he bought, the total of his bill would equal $9.57.

6 0
3 years ago
-10(x + 21) = -15x + 18<br> What value of x makes the equation true?
schepotkina [342]
Answer:

x = 45.6

Explanation:

-10(x + 21) = -15x + 18

-10x - 210 = -15x + 18

-210 = -5x + 18

-228 = -5x

x = 45.6

(I’m not sure if this is what you’re looking for, but I hope it helped a bit)
7 0
3 years ago
What is the answer? i dont get it
ArbitrLikvidat [17]
I believe it’s 2% if it’s wrong sorry
4 0
2 years ago
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