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3 years ago

If z is an even integer which of the following expressions must represent an odd integer?

1 answer:

8 0

There is no choice on your list that must represent an odd integer.

If 'z' is an even integer, then (z-1) and (z+1) must both be odd integers.

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Wirk out the values of 5x-2y when x=-2 and y = -2

elena-s [515]

Step-by-step explanation:

5x - 2y

5(-2) - 2(-2)

-10 + 4

= - 6

3 0

3 years ago

Bryan, Angela, Elan, and Fiona folded some paper flowers for their school fund-raising project. Elan folded one-fifth of the pap

Tamiku [17]

Answer:

a) 88

b) 162 $

Step-by-step explanation:

Given Bryan sold 9 more flowers than Elan

1/4 x - 1/5 x = 9

x/20 = 9

x = 180

Flowers with Bryan = 45

Flowers with Elan = 36

45+36 = 81

Remaining flowers = 99

Flowers with Fiona = 8/9 * 99 = 88

7 0

3 years ago

The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe

jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P(t)=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

$P(t)=800(1+0.2)^t$

$P(t)=800(1.2)^t$

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

$800(1.2)^t=1600$

Dividing by 800:

$(1.2)^t=1600/800=2$

Taking logarithms:

$t\log 1.2=\log 2$

Dividing by log 1.2:

$t=\frac{\log 2}{ \log 1.2}$

Calculating:

t = 3.8 years

Answer: C. 3.8 years

6 0

3 years ago

A coin is tossed and a die is rolled. Find the probability that the die shows an even number and the coin shows a tail.

Oxana [17]

P(E,T)=(3/6)(1/2)

P(E,T)=1/4

3 0

3 years ago

Factor the expression below using the greatest common factor 6p3- 2p2 - 8p

miss Akunina [59]

Answer:

The Factor of expression using the greatest common factor is $2p(3p^2- p-4)$

Step-by-step explanation:

Consider the provide expression.

$6p^3- 2p^2 - 8p$

We need to Factor the expression using the greatest common factor.

First look at the coefficients of the variable.

The coefficients are the factor of 2.

Variable p is the greatest common factor in the provided expression.

$2p\times 3p^2- 2p\times p- 2p\times 4$

$2p(3p^2- p-4)$

Hence, the Factor of expression using the greatest common factor is $2p(3p^2- p-4)$ .

7 0

3 years ago