All categories

4 years ago

3(2c+d)-4(c-d)+d squared when c=1 d=3 please explain steps

Mathematics

1 answer:

steposvetlana [31]4 years ago

4 0

Answer:

3(2c+d)-4(c-d)+d^2.

6c+3d-(4c+4d)+d^2.

6×1+3×3-4×1+4×3+9.

6+9-4+12+9=32.

You might be interested in

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.

Marizza181 [45]

Answer:

Step-by-step explanation:

12/(x+2) = 4/(x-2)

Cross-multiply to get:

12x-24 = 4x+8

8x = 32

x = 4

7 0

4 years ago

Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t s

Natasha_Volkova [10]

Acceleration is simplified by assuming it is the constant -g

a=-g we integrate this with respect to time to get v...

v=-gt+C where C is the initial velocity in this case 14ft/s so

v=-gt+14 integrate again to get the height function

h=(-gt^2)/2 +14t +C we are not given an initial height so C is 0

h(t)=14t-gt^2/2 letting g=32 and neatening up a bit...

h(t)=14t-16t^2

8 0

3 years ago

Read 2 more answers

Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following

posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{165.9}{6} = 27.65$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

$\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645$

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

$\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%$

5 0

3 years ago

A hungry lion is looking for food. It went 5 miles (mi) before it spotted a zebra to stalk. It took this lion 0.2 hours to get t

MariettaO [177]

Given:
distance = 5 miles
time = 0.2 hours
speed = ?

Speed = distance / time

Speed = 5mi / 0.2hrs = 25mph

The speed of the lion is 25 miles per hour.

3 0

4 years ago

Help Pre-Calc

Alex73 [517]

Answer:

B) vertical stretch

Step-by-step explanation:

Given that the cost of manufacturing x refrigerators is given by the function $f(x)= 2x^2 + 6000$ .

Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).

Now we need to decide the type of transformation from f(x) to 2f(x).

Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".

in 2f(x), we have a=2

So that means "B) vertical stretch" is the correct choice.

6 0

3 years ago