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horsena [70]
3 years ago
7

Make c the subject: x=-b+(b²-4ac) divided by 2a The brackets mean square root

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0
x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\
2ax=-b+\sqrt{b^2-4ac}\\
\sqrt{b^2-4ac}=2ax+b\\
b^2-4ac=(2ax+b)^2\\
-4ac=4a^2x^2+4abx+b^2-b^2\\
-4ac=4a^2x^2+4abx\\
c=-ax^2-bx
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The number of chorus students increase by a factor of 1.2 from the previous year. Write 1.2 as a percent
Leona [35]
Since the percent sign has 2 zeros:% then that means to convert a decimal to a percent,move the decimals to the right 2 spaces.Now,1.2 should look like this:120. You add the zero because that space is worth nothing,but it is used for the spaces.
3 0
4 years ago
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If (a²-1/a²)=23 find the value of i) (a+1/a), ii) (a³+1/a³)​<br><br>pls help me
vesna_86 [32]

Answer:

5

Step-by-step explanation:

(a + (1/a)2 =  a2 + (1/a2) + 2

⇒ (a + (1/a))2 = 23 + 2

⇒ (a + (1/a))2 = 25

⇒ a + (1/a) =

⇒ a + (1/a) = 5

a3+b3=

(a+b)

(a2−ab+b2)

where  a=a

and b=1/a.

so sum it up u get -1

4 0
3 years ago
Explain the meaning of each of the following. (a) lim x → −3 f(x) = [infinity] The values of f(x) can be made arbitrarily close
navik [9.2K]

Answer:

The right answer is option 3.

lim x → −3 f(x) = [infinity] means the values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) −3.

Step-by-step explanation:

The limit of a function is a fundamental concept concerning the behavior of that function near a particular input.

A function f assigns an output f(x) to every input x. We say the function has a limit L at an input a: this means f(x) gets closer and closer to L as x moves closer and closer to a. More specifically, when f is applied to any input sufficiently close to a, the output value is forced arbitrarily close to L.

That is,

lim x → a f(x) = L

Hope this helps!

8 0
3 years ago
(x-5)(x+1)<br> O x= -1 and x = 5<br> O x= -1 and x = 14<br> O x= 1 and x = -5<br> O x = 14 and x = 5
mafiozo [28]
Answer:

X= -1 and x=5

Explanation:

Make it equal to zero
X-5=0
Then add five to both sides
X=5
For the other one do the same
X+1=0
Then subtract one on both sides
X=-1

Hope this helps!
7 0
3 years ago
Julie lives 3/8 mile from school. Madeline lives 3/4 mile from school. Brienne lives 1/2 mile from school. Which girl lives the
ryzh [129]

Brienne lives the closest since is a half mile and julie lives the farthest from school.

8 0
3 years ago
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