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3 years ago

Can you please help I don’t understand

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

-4,-4 ....................

Ludmilka [50]3 years ago

5 0

Answer:

( -4 , -4 )

Step-by-step explanation:

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It costs $350 to carpet an 8 ft by 10 ft room. At this rate, how many dollars would it cost to put the same carpeting in a 24 ft

Vlad [161]

Answer:

$3,150

Step-by-step explanation:

You have to divide the price by square ft. Then you divide $350 by 80 and you get 4.375. You then multiply 24 by 30 and you get 720. After you multiply 4.375 by 720 and you get your answer

3 0

3 years ago

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then

Ivan

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

4 0

3 years ago

In Exercise,find the balance in the account after 10 years.

djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

$y=pe^{rt}$

, where P= Present value

r= growth rate ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500 r = % =0.03 and t= 10

Substitute all the values in the above equation , we get

$y=2500e^{0.03(10)}$

$y=2500e^{0.3}$

$y=2500(1.3498588)=3374.64701894\approx3374.65$ [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0

2 years ago

G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$