Write the phrase as an expression. a number t cubed An expression is

Determine the value of k if 12x2 + kx/ 4x= 3x – 5.

Oxana [17]

Answer:

k = -20.

Step-by-step explanation:

Do the division:

4x ) 12x^2 + kx ( 3x

12x^2 + k/4

So k/4 = - 5

k = -20.

4 0

3 years ago

Lulu is taking a road trip to visit family. Her car has a 20-gallon gas tank and the car uses 12 gallons to travel 216 miles.

Diano4ka-milaya [45]

Answer:

The answer is G = 20 - m/18, but none of the answers given is correct.

Step-by-step explanation:

1. Let's review the information given to us to help Lulu to answer the question correctly:

Capacity of the gas tank of Lulu's car = 20 gallons

Lulu can travel 216 miles using 12 gallons

2. Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?

G = number of gallons left in Lulu's car

m = Miles driven by Lulu

miles per gallon = 216/12 = 18 miles per gallon

Now, we can write the linear equation, this way:

G = Capacity of the gas tank of Lulu's car - miles driven/miles per gallon

Replacing with the values we know:

G = 20 - m/18

Let's assume Lulu drives 180 miles, using our linear equation, we have:

G = 20 - 180/18

G = 20 - 10 = 10 gallons left

Let's assume Lulu drives 54 miles, using our linear equation, we have

G = 20 - 54/18

G = 20 - 3 = 17 gallons left

8 0

3 years ago

What is the quotient of -8a^8b^-2/10a^-4b^-10 in simplified form? Assume a=0 b=0

Alja [10]

Are you sure that both a and b are zero?
I doubt it.

-8a^8b^-2/10a^-4b^-10
should surely be written as a fraction for clarity:

-8a^8b^-2
----------------- (at least this is how I interpret your question)
10a^-4b^-10

-8a^8 divided by 10a^(-4) comes out to (-8/10)a^12, and

b^(-2) divided by b^(-10) comes out to b^8

so that your final quotient is (-4/5)(a^12)(b^8).

6 0

3 years ago

Read 2 more answers

How would you graph the following systems of equations ? y= -3x -7 x- 2y=-14

andrey2020 [161]

Solve both formulas to y=mx+b (slope intercept formula) where m=slope and b=y-intercept

y=-3/1x+-7

x-2y=-14
-2y=-14-x
y=7+1/2x

Start with the b variable so for problem 1 put a dot on 0,-7 and for problem 2 put a dot on 0,7

Then from -7 for problem 1 depending on whether the slope is negative or positive go down 3 and over right 1 therefore another point for problem one is marked, at 1,-10; for problem 2 up 1 and to the right 2; 2,8

For problem one connect the dots of 0,-7 and 1,-10

For problem two connect the dots of 0,7 and 2,8

7 0

3 years ago

Tomos is a skier he completed a ski race in 2 min 6 seconds

Varvara68 [4.7K]

Answer: $3\ min\ 12\ s$

Step-by-step explanation:

The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"

For this exercise you can use the following formula to find the average speed :

$V=\frac{d}{t}$