All categories

3 years ago

Help ? Plz forgot the steps (3z+9)(z-4)

1 answer:

3 0

It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4 = -12z
Nest, Inners:
9*z = 9z
Finally, the Lasts:
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!

You might be interested in

In which number does the 5 have a value that is 1/10 the value of the 36253 in ?

Ostrovityanka [42]

Answer:

7250.2 i think

Step-by-step explanation:

Finding 110 of a number is the same as dividing it by 10 . To find a tenth of something simply multiply it by 110 and then simplify.

4 0

2 years ago

Compute the permutation. A chemist has eight test tubes to examine. In how many orders can he do this examination? 16,777,216 20

Talja [164]

Answer:

40,320

Step-by-step explanation:

He can pick any one of the eight for the first examination.

He can pick any one of the remaining 7 for the 2nd examination.

He can pick any one of the remaining 6 for the 3rd examination.

...

He can pick any one of the remaining 2 for the 7th examination.

There's one left for the 8th examination.

Thus, there are 8×7×6×5×4×3×2×1 = 8! = 40,320 different possible orders in which the tubes can be examined.

6 0

4 years ago

(multiple choice) plz help me!!

harkovskaia [24]

$8 \sqrt{5} is \: the \: length$

Step-by-step explanation:

$( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x$

7 0

3 years ago

In a 650g bag of mixed dried fruits, the ratio of mangos to apples to pears is 12:8:6 by mass. Determine the masses of the mango

Virty [35]

Answer:

mass of mangos = 300g

mass of apples = 200g

mass of pears = 150g

Step-by-step explanation:

lets first reduce the ratio

12:8:6

is the same as

6:4:3

this means the the denominator of our fractions will be 6 + 4 + 3 = 13

hence

mangos = 6/13 of 650g

6/13 * 650 = 300

apples = 4/13 of 650g

4/13 * 650 = 200

pears = 3/13 of 650g

3/13 * 650 = 150

7 0

3 years ago

Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)

8_murik_8 [283]

A rational number is any number that can be written as the ratio between two other numbers i.e. in the form $\frac{a}{b}$

Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have $7.8=\frac{78}{10}$

Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are $\sqrt{2}$ , $e$ , $\phi$ and $\pi$ so it makes sense to try and use those to build our number. In this case $\frac{11\sqrt{2}}{5}\approx7.78$ works nicely.

6 0

4 years ago