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ANTONII [103]
3 years ago
11

What is the product of (4a+6)(3a-8)

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

12a²-14a-48

Step-by-step explanation:

4a(3a-8) + 6(3a-8)

= 12a²-32a+18a-48

=12a²-14a-48

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Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 15,044. what are the offi
AlladinOne [14]
Let one of the number be x
The other number will be x + 2

x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2 
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523

The office number is 7521 and 7523
6 0
2 years ago
Create an equivalent expression for 13 ^−7 x 13 ^5.
Sveta_85 [38]

13^{-7} \times 13^5=13^{-2}=\boxed{\frac{1}{13^2}}

8 0
1 year ago
Read 2 more answers
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a
ikadub [295]

Answer:

Angle made by ramp with ground is ≈19.29^{\circ}

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is 10 ft.

Height of Skateboard ramp is 3.5 ft.

From figure,

It is forming a Right angle triangle \triangle ABC.

In \triangle ABC, AB=3.5 and BC=10.

Clearly see that we need to find measure of angle \angle C.

Using Trigonometric ratio:

     Tan(\theta)= \frac{Perpendicular}{Base}

So,  Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35

Then \angle C=Tan^{-1} (3.5)=19.290046^{\circ}

Therefore, Angle made by ramp with ground is ≈19.29^{\circ}

8 0
3 years ago
A popular online music store allowed shoppers to listen to an entire album before buying it. Of the people who listened to the w
katrin2010 [14]

Answer:

IDK this stuff is confusing

Step-by-step explanation:

Plz like and follow

4 0
3 years ago
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