Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x

9) The base and the height of a rectangle are represented by the expressions below.

Nuetrik [128]

9 :

Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6

= > Perimeter of Rectangle = 2( base + height )

= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }

= > 88 / 2 = { x + 4 + x - 6 }

= > 44 = 2x - 2

= > 46 = 2x

= > 46 / 2 = x

= > 23 = x

Therefore,

Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units

Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units

10 :

Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4

Given that the sum of all integers is 36

= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36

= > x + x + 2 + x + 4 = 36

= > 3x + 6 = 36

= > 3x = 30

= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )

= > x = 10

$\text{Hence, }$
Value of first integer = x = 10

3 0

3 years ago

Please help me with this problem

eimsori [14]

Find the equation of the first line using the two given points: (1,-1) (-1,-5)

Slope = change in Y over change in x:

Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2

Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)

Simplify to get y = 2x-3

Now a perpendicular line has a opposite reciprocal slope.

The perpendicular line would be y = -1/2x - 3

You are told the y intercept is -4 units greater, so add -4 to -3 to get -7

The answer would be A. y = -1/2x-7

6 0

3 years ago

PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!

Over [174]

$h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\$

Using the quadratic formula we get

$x_1 = 0.5\\x_2 = 2.04$

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

7 0

3 years ago

a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will

kupik [55]

Answer:

The probability that all 4 units are good is 10.66%.

Step-by-step explanation:

Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:

14 - 6 = 8

8/14 x 8/14 x 8/14 x 8/14 = X

0.5714 x 0.5714 x 0.5714 x 0.5714 = X

0.1066 = X

0.1066 x 100 = 10.66

Therefore, the probability that all 4 units are good is 10.66%.

3 0

3 years ago

Hiii please help i’ll give brainliest if you give a correct answer please thanks!

yKpoI14uk [10]

Answer:

<h3>Step-by-step explanation: for #2, look at 6 3/4 and make it into a decimal. Do the same to 7 1/2. Compare them both to see which one is shorter by subtracting 6 3/4 from 7 1/2 and when you get your answer for that, make that into a fraction. Predict that 6 3/4 is shorter because of how much less it is compared to 7 1/2. (I hope I helped you in some way. Good luck!)</h3>

7 0

3 years ago