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2 years ago

Given: 3x + 1 = -14; Prove: x = -5

Mathematics

2 answers:

MrRissso [65]2 years ago

7 0

Answer:

x = -5

Step-by-step explanation:

Solve for x:

3 x + 1 = -14

Subtract 1 from both sides:

3 x + (1 - 1) = -14 - 1

1 - 1 = 0:

3 x = -14 - 1

-14 - 1 = -15:

3 x = -15

Divide both sides of 3 x = -15 by 3:

(3 x)/3 = (-15)/3

3/3 = 1:

x = (-15)/3

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer: x = -5

kozerog [31]2 years ago

6 0

Answer:

Step-by-step explanation:

3x + 1 = -14;

substr 1 : 3x+1-1 = - 14 -1

3x = -15

divid by 3

x = -5

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What of following is the inverse of y=6

Elenna [48]

Answer:

x=6

Step-by-step explanation:

The inverse is the equation with the x and y variables transposed

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2 years ago

Part A

Nat2105 [25]

Answer:

A. $f(n) =0.2n+4.8$

B. The y intercept is 4.8

Step-by-step explanation:

Given

$a_n= 5 + 0.2(n-1)$

Solving (a): Write as a function.

To do this, we simply substitute f(n) for $a_n$

$a_n= 5 + 0.2(n-1)$ becomes

$f(n)= 5 + 0.2(n-1)$

Open Bracket

$f(n) = 5 + 0.2n-0.2$

Collect Like Terms

$f(n) =0.2n-0.2 + 5$

$f(n) =0.2n+4.8$

B. The y intercept.

To get the y intercept, we set n to 0

i.e

$f(0) =0.2 * 0+4.8$

$f(0) =0+4.8$

$f(0) =4.8$

Hence, the y intercept is 4.8

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2 years ago

Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a k

bixtya [17]

Answer:

4/663

Step-by-step explanation:

There are four queens. The probability that the first card is a queen is 4/52.

There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

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2 years ago

If tile costs $8.50 per square foot, how much does it cost per inch?

Sphinxa [80]

Answer:

$0.06 per square inch

Step-by-step explanation:

The question should be:

<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>

<em />

To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".

We know 1 feet = 12 inches

Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.

Thus, we will have:

$\frac{8.5}{12*12}$

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

$\frac{8.5}{12*12}=0.06$

So, tile costs $0.06 per square inch

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2 years ago

92. Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do m

dimulka [17.4K]

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So here:

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3 years ago