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2 years ago

If p(x) = (x - 1) (x + 1), then find the value of p(2) + p(1) - p(0)

Mathematics

1 answer:

Afina-wow [57]2 years ago

7 0

Answer:

Step-by-step explanation:

$p(x) = (x - 1) (x + 1) \\ plug \: x = 2 \: 1 \: 0 \: we \: find: \\ \\ p(2) = (2 - 1) (2 + 1) = (1)(3) = 3 \\ p(1) = (1 - 1) (1 + 1) = (0)(2) = 0 \\ p(0) = (0 - 1) (0 + 1) = ( - 1)(1) = - 1 \\ \\ p(2) + p(1) - p(0) \\ = 3 + 0 - ( - 1) \\ = 3 + 1 \\ = 4$

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A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),<br> find the measure of A

Black_prince [1.1K]

Answer:

$\angle A=17\textdegree$

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

$\angle A+\angle B=90$

Since we know their equations, substitute:

$(x+8)+(8x+1)=90$

Solve for x. Combine like terms on the left:

$9x+9=90$

Subtract 9 from both sides:

$9x=81$

Divide both sides by 9:

$x=9$

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

$\angle A=x+8$

Substitute 9 for x:

$\angle A=9+8$

Add:

$\angle A=17\textdegree$

So, the measure of A is 17°.

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2 years ago

For the past 40 days. Naomi has been recording the number of customers at her restaurant between 10:00 AM and 11:00 AM. During t

igor_vitrenko [27]

Answer:

The experimental probability there will be fewer than 20 customers on the forty-first day is 5/8, .625, 62.5%.

Step-by-step explanation

4 0

2 years ago

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent. Write a pa

rodikova [14]

Answer:

Step-by-step explanation:

Given the expressions :

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.

Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.

Let the original price = x

Expression 1 : The list price of the item is 80 percent of the original price

List price = 80% of x

List price = 0.8x

Expression 2: The price of the item has been reduced by 80 percent

Price = x - 80% of x

Price = x - 0.8x

Price = 0.2x

Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.

Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.

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3 years ago

The sun produces 3.9 ⋅ 10 to the 33th power ergs of radiant energy per second. How many ergs of radiant energy does the sun prod

arlik [135]

So the sun produces 3.9x10³³/ second

Using this ratio (3.9x10³³/ second) we can use the porpotions to calculate time taken (T) to produce 1.55x10⁷.

$\frac{3.9(10^3) ergs}{1 second} = \frac{1.55(10^7)ergs}{T}$

Then isolate T and find the time

$\frac{T3.9(10^3)ergs}{1 second} = {1.55(10^7)ergs$
$T3.9(10^3)ergs = ({1.55(10^7)ergs)seconds$
$T = \frac{(1.55(10^7)ergs)seconds}{3.9(10^3)ergs}$
$T = \frac{(1.55(10^7)seconds}{3.9(10^3)}$
$T = \frac{1.55}{3.9}(10^4)seconds$
$T = 0.397(10^4)seconds$
$T = 3.97(10^-^1)(10^4)seconds$
$T = 3.97(10^3)seconds$

Thus it took 3.97x10³ seconds for 1.55x10⁷. of ergs to be produced
Hope that helped and if it did, a Brainliest rating would be much appreciated

6 0

2 years ago

PLZ HELP FAST WILL GIVE BRAINLIEST!!!

defon

The answer is going to be 12.9 and the median height will be 16.5 hope that helped

3 0

3 years ago

Read 2 more answers