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Contact [7]
3 years ago
5

Factoring: All Techniques Combined

Mathematics
1 answer:
Ber [7]3 years ago
8 0
x^{6} + 2 x^{4} - 16 x^{2} - 32 =x^4(x^2+2)-16(x^2+2)=(x^2+2)(x^4-16)=\\ \\=(x^2+2)(x^4-4^2)=(x^2+2)(x^2-4)(x^2+4) =\\ \\=(x^2+2)(x^2+4)(x+2)(x-2) \\ \\ \\a^2-b^2 =(a-b)(a+b)



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A store owner was buying uniforms for his employees. If each of his stores needed 79 uniforms and he had 64 stores which express
seraphim [82]

Answer:

C)  The total number of  about uniforms needed is  60 x 80 uniforms.

Step-by-step explanation:

The Number of total stores the owner has = 64 stores

The number of employees uniform needed in 1 store  = 79 uniforms

Now, 64 is Rounded off to about 60.

and 79  is Rounded off to about 80.

⇒ The total number of uniforms in 60 stores = 60 x ( uniform in 1 store)

= 60 x  (80 uniforms)  

or, the expression of total uniforms needed = 60 x  (80 uniforms)  

Hence, the total number of  about uniforms needed is 60 x 80 uniforms.

4 0
3 years ago
you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (includi
grandymaker [24]

Answer:  78 ounces of dough was bought.

52 ounces of sauce was bought.

There were 13 guests .

Step-by-step explanation:

Let x = Number of guests

As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.

i.e. Total ounces of dough and sauce together required = 6+4=10

The dough and sauce is 130 ounces all together.

i.e. 10x=130

Divide both sides by 10 , we get

x= 13

i.e. there were 13 guests .

Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces

hence, 78 ounces of dough was bought.

Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces

hence, 52 ounces of sauce was bought.

3 0
4 years ago
Help please. <br> Kinda get confused with this.
sergij07 [2.7K]
B. Angle 1 and 2

Adjacent literally means next to, so just think which angles are next to eachother or share a leg
6 0
3 years ago
The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t i
kupik [55]

Answer:

Step-by-step explanation:

a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.

b. The bacteria is decreasing by 75% per day exponentially.

c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A

A = 200(0.75)^7

A = 26.7 bacteria after 1 week

d. In order to calculate this we need to substitute the variable A with 100 and solve for t

100 = 200(0.75)^t   ... divide both side by 200

0.5 = 0.75^t

\frac{ln(0.5)}{ln(0.75)} = t

2.4 = t

It will be half the initial amount after 2.4 days.

6 0
3 years ago
Point A is at (4,5) and lies on the graph of quadratic function f. If g(x)=f(2x), determine the location of this point on the gr
skad [1K]
\bf \stackrel{f(x)}{(\stackrel{x}{4}~~,~~\stackrel{y}{5})}\qquad \qquad \qquad \stackrel{g(x)}{(\stackrel{2x}{2\cdot 4}~~,~~\stackrel{y}{5})}\implies (8~~,~~5)
5 0
3 years ago
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