Suppose that 13 inches of wire costs 65 cents. At the same rate, how many inches of wire can be bought for 45 cents?

Without sketching the graph of the function, find the maximum value of y = - 5x + 4 over the interval - 4 <= x <= 3. Expla

yKpoI14uk [10]

Answer:

$y_{max}=24$

Step-by-step explanation:

Given function $y=-5x+4$ is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is $-5.$ Since the slope is negative, the linear function is decreasing for all x. This means

$\text{ if } x_1 f(x_2)$

You ar geven the interval $-4\le x\le 3.$ So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.

At x=-4,

$y=-5\cdot (-4)+4=20+4=24.$

3 0

3 years ago

11c4 how do I get the answer

Yakvenalex [24]

Answer:

330

Step-by-step explanation:

This is the "choose" formula.

The equation for the choose formula is this:

nCk = n! / k!(n-k)!

! = factorial.

Plug in our numbers:

11C4 = 11! / 4!(11-4)!

39916800 / 24(5040)

39916800 / 120960

330

6 0

3 years ago

What is the greatest ten you can multiply by 2 to get close to but not over 58?

ExtremeBDS [4]

Answer:

20

Step-by-step explanation:

20 x 2 =40

40 is under 58 and the closest to 58

the next 10 is 30 and 30 x 30 is over 58 with 60

3 0

2 years ago

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents f

professor190 [17]

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

7 0

3 years ago

The temperature outside Monday morning was -14. On Tuesday morning it was 4 degrees colder. Create an equation to show temperatu

Illusion [34]

Answer:

Temperature on Tuesday morning is $-18^{o}$ .

Step-by-step explanation:

Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.

In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;

Temperature on Tuesday = -14 + (-4)

= -14 -4

= -18

Therefore, the temperature on Tuesday morning is $-18^{o}$ .

6 0

3 years ago