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3 years ago

What values would make a ploynimal equal to zero if the factors are (x+3) and (x+12)

2 answers:

8 0

$\bf (x+3)(x+12) =0
\\ \quad \\

\begin{cases}
(x+3)=\cfrac{0}{(x+12)}\to x+3=0\to &x=-3
\\ \quad \\
(x+12)=\cfrac{0}{(x+3)}\to x+12=0\to &x=-12
\end{cases}$

Anna71 [15]3 years ago

7 0

The values 35 and 25 would make the answer to this 0

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Fill in each box with the probability of the event that it represents. The following questions can be answered using your area m

Tanya [424]

Answer:

$a. \ \dfrac{1}{36}$

$b. \ \dfrac{4}{9}$

$c. \ \dfrac{5}{6}$

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

$P(3 \ and \ Blue) = \dfrac{1}{36}$

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

$P(1 \ or \ Orange) = \dfrac{4}{9}$

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

$P(not \ Blue) = \dfrac{5}{6}$

6 0

2 years ago

The mean temperature for the first 7 days in January was 6 °C.

balandron [24]

Answer:

6.875° C

the mean of a set of data is calculated using

mean =

For the first 7 days the mean is 8 and the count = 7

8 = ( cross- multiply )

sum = 8 × 7 = 56

Add on the temperature on the 8 th day to the sum and divide by 8 for mean

sum = 56 - 1 = 55

mean = = 6.875° C

2nd question

Height of marble from the ground

An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.

The dependent would be the kinetic and potential energy and the constant would be the type of marble.

3 0

3 years ago

Using the numbers -2,-3,5,2 create one expression that equal 10

Nostrana [21]

One equation that you could make is 5+2-(-3)

3 0

3 years ago

How do you factor this trinomial 4a^2-4a+1

ElenaW [278]

Answer:

$(2a-1)(2a-1)$

Step-by-step explanation:

To write the factored form, multiply a*c from the standard form $ax^2+bx+c$ . Here it is 4*1 = 4.

Then find factors of 4 that add to b=-4.

4: 1,2,4

-2+-2 = -4

Split the middle term into -2x+-2x and factor by grouping.

$4a^2-2a+-2a+1\\(4a^2-2a)+(-2a+1)\\2a(2a-1)-1(2a-1)\\(2a-1)(2a-1)$

4 0

3 years ago

Can someone help me with #s 16 18 19 20 I WILL GIVE BRAINLIEST

Masteriza [31]

Answers & Step-by-step explanation:

<h2>PEMDAS (Parenthesis, exponents, multiplication, division, addition, subtraction)</h2>

Now let's solve your problems!

First, we see if there are any parentheses. Since there are no parentheses, we will evaluate the exponent 3² first.

After this, our problem now looks like this:

Next, since multiplication (not subtraction) is next on the list, we will evaluate 6 × 3, which equals 18.

After that, we will subtract:

41 - 9 = 32

18 - 26 = -8

We now have 32/-8 or 4/-1 or simply -4.

<h2>The answer is: -4</h2><h2>___________________________________________________</h2><h2>17.</h2>

With this, one, note the parentheses. This means that we will do these operations first.

(21 - 4²) = 5

(3 + 1) = 4

The problem now looks like this:

$\frac{5 * 4}{8^{2}-44}$

Next, we do the exponents:

8² = 64

After that, we do the multiplication of 5 x 4, which equals 20.

We now have 20/64 - 44, which simplifies to 20/20 or 1/1 or 1.

<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2>18.</h2>

Again, we see parentheses, so that means we need to do these operations first.

(6² - 20) = 16

We now have:

48 ÷ 16 + 5

48/16 = 3 and 3 + 5 = 8

<h2>The answer is: 8</h2><h2>___________________________________________________</h2><h2>19.</h2>

Here, we see an exponent 3³, so we'll need to evaluate this first.

3³ = 27

We now have:

4 × 27 ÷ 18 + 14

4 × 27 = 108

108/18 = 6

And finally:

6 + 14 = 20

<h2>The answer is: 20</h2><h2>___________________________________________________</h2><h2>20.</h2>

Here we again see the parentheses, which means we need to evaluate the subtraction first.

3 - 8 = -5

We now have:

11 + 2 (-5)

2 × -5 = -10

11 + -10 (same as 11 - 10) = 1

<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>

7 0

3 years ago