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Nataly_w [17]
3 years ago
12

30 POINTS PLEASE HELP! Evaluate the piecewise-defined function at x=3. See picture below

Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer: -11

Step-by-step explanation:

For this problem, it is important to look at the domains next to the function. In this problem there is a function for when x < 1 and when x ≥ 1. 3 is greater than 1, so we will use the second equation.

From there, plug in 3 for x and solve.

-2x - 5

-2(3) - 5

-6 - 5

-11

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John invests a sum of money in a
nexus9112 [7]

Answer: 0.000007638035

Step-by-step explanation:

We can use the formula for compound interest to solve this.

Now, the formula goes thus:

A = P ( 1 + r/n)^nt

Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.

From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.

Now, we substitute these into the formula

1912.41 = P ( 1 + 2.63) ^ 15

1912.41 = P ( 3.63) ^ 15

1912.41 = P ( 250,379,850)

P = 1912.41 ÷ 250,379,850

P = 0.000007638035

Looks pretty funny an answer right?

6 0
3 years ago
The bigger of two numbers is four more
Otrada [13]

Answer:

X=the smaller

y=the larger

The bigger of two numbers is four more than the smaller, then:

y=x+4

one more than twice the smaller is the same as the larger, then

1+2x=y

We have the following system of equations:

y=x+4

y=2x+1

We solve this system by equal values method:

x+4=2x+1

x-2x=1-4

-x=-3

x=3

We find the value of "y"now:

y=x+4

y=3+4

y=7

the values of x and y are:

x=3

y=7

Step-by-step explanation:

7 0
4 years ago
What is the mean of 6,3,2,1,9,9
ololo11 [35]
5 you add them all up and then divide by how many number you added


(6+3+2+1+9+9) and then divide by 6
4 0
3 years ago
Read 2 more answers
A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct
Mazyrski [523]

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

Slope: m = (y2-y1)/(x2-x1)

m = (75.95-65.95)/(50-30) = 10/20 = 0.5

y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

4 0
3 years ago
Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high.
Xelga [282]

9514 1404 393

Answer:

  1344 cubic meters

Step-by-step explanation:

The volume is the product of the dimensions for a rectangular prism:

  V = LWH

  V = (4 m)(3 m)(112 m) = 1344 m³

Kate needs a volume of 1344 cubic meters.

3 0
3 years ago
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