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lisabon 2012 [21]
3 years ago
11

Simplify the following expression.

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Answer:

I got C.)5

Step-by-step explanation:

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1. How many real solutions does the quadratic equation x?+9x= -8 have?​
likoan [24]

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.

5 0
2 years ago
Answer this please!!!<br><br> During what times is Ann stopped? Give a reason to support your answer
quester [9]

whenever the line drops to the bottom of the graph the reason is because her speed drops to 0

5 0
3 years ago
Read 2 more answers
The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing
Akimi4 [234]

Answer with Step-by-step explanation:

We are given that

\frac{dA}{dt}=150m^2/s

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle,A=\pi r^2

Differentiate w.r.t time

\frac{dA}{dt}=2\pi r\frac{dr}{dt}

Substitute the values then we get

150=2\pi (25)\frac{dr}{dt}

\frac{dr}{dt}=\frac{150}{50\pi}=\frac{3}{\pi} m/s

\frac{dr}{dt}=\frac{3}{\pi} m/s

b.A=1000m^2

Substitute the values then we get

1000=\pi r^2

\pi=3.14

r^2=\frac{1000}{3.14}

r=\sqrt{\frac{1000}{3.14}}=17.8m

\frac{dA}{dr}=2\pi r\frac{dr}{dt}

Substitute the values then we get

150=2\pi(17.8)\frac{dr}{dt}

\frac{dr}{dt}=\frac{150}{2\pi(17.8)}=\frac{150}{35.6\pi}m/s

\frac{dr}{dt}=\frac{75}{17.8\pi}m/s

4 0
3 years ago
8, 12, 16, ...<br> Find the 49th term
Ivanshal [37]

Answer:

200

Step-by-step explanation:

the above is an arithmetic progressions

number of terms of an AP = a+( n -1 )d

a= first term= 8

d= common difference= 12-8= 4

49th term:

= 8+(49-1)4

= 8+(48)4

= 8+192= 200

therefore, the 49th term is 200

5 0
2 years ago
The student body at an after-school program consists only of 6th graders, 7th graders, and 8th graders. The ratio of 6th graders
Aleksandr [31]

Step-by-step explanation:

the correct answer is60

8 0
1 year ago
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