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2 years ago

Given g(x) = 3x + 14 , find x if g(x) = 20

Mathematics

1 answer:

Helga [31]2 years ago

4 0

Answer: x = 2

Step-by-step explanation: If g(x) = 3x + 14, and g(x) = 20 also, you first can set 3x+14 = 20. To find the value of x, you want to isolate the variable. You can subtract 14 from both sides to get 3x = 6. Finally, to find out the value of x, divide 3 from both sides. This leaves you with x = 2. You can check this by plugging two back into the original equation 3 times 2 = 6, and 6 plus 14 equals 20.

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Need help ASAP!!!!!!!!!!!!

eimsori [14]

Answer:

8 small tables

Step-by-step explanation:

they told you they have 5 large tables that seat 10 guests and 98 guests are coming. You need to subtract 50 from 98 because after you multiple how many guests can sit at each large table by how many large tables they have it equals 50 so 98-50=48 then you need to divide 48 by six because each small table sits six people so 48/6=8 so you need 8 small tables.

6 0

2 years ago

Simplify 3x³(x+2)+2x(x²+3x)

max2010maxim [7]

Answer:

${3x}^{4} + {8x}^{3} + {6x}^{2}$

Step-by-step explanation:

${3x}^{3} (x + 2) + 2x( {x}^{2} + 3x)$

${3x}^{4} + {6x}^{3} + {2x}^{3} + {6x}^{2}$

${3x}^{4} + {8x}^{3} + {6x}^{2}$

<h3>Hope it is helpful...</h3>

8 0

3 years ago

Casho invests money in an account paying simple interest. She invests $30 and no

Daniel [21]

Answer:

Step-by-step explanation:

Divide ( 32.40 / 30 ). This outputs the answer 1.08, or 108%. This means that the outcome is 108% of the original, or 8% greater.

4 0

2 years ago

at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

$3x=y$ ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of $(x+y)$ miles per minute.

$Distance=Speed\times Time$

The distance between both train in 15 minutes is represented by $15(x+y)$ .

According to the given information the distance between trains is 30 miles in 15 minutes.

$15(x+y)=30$

$x+y=2$

Use equation (1) and put $y=3x$

$x+3x=2$

$4x=2$

$x=0.5$

Put this value in equation (1), to find the value of y.

$y=3(0.5)$

$y=1.5$

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0

3 years ago

There are four candidates (A. B, C, and D) and 115 voters. When the points were tallied (using 4 points for frst, 3 points for s

aivan3 [116]

Answer:

D had 310 points.

The final ranking is: B,A,D,C

Step-by-step explanation:

The problems states that:

There are 115 votes.

Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.

Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:

$A + B + C + D = 1150$

We already know that:

A had 320 points, B had 330 points, and C had 190 points.

So:

$A + B + C + D = 1150$

$320 + 330 + 190 + D = 1150$

$D = 310$

B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C

3 0

3 years ago