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EleoNora [17]
2 years ago
13

Factorise and solve x^2 + 4x -21 = 0

Mathematics
2 answers:
Korvikt [17]2 years ago
3 0

Answer:

(x + 7) (x - 3)

Step-by-step explanation:

Find 2 numbers that add to 4 and multiply to -21

(x + 7) (x - 3)

Ahat [919]2 years ago
3 0

Answer:

(x+7)(x-4) x=-7,4

Step-by-step explanation:

The factors of -21 that add up to 4 are 7 and -3, so put those as your two second values in your binomials and solve for x, in this case being the negative versions of the second term in the binomial

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A function has a constant doubling time. What type of function does this<br> represent?
SIZIF [17.4K]

Answer:

  an exponential function

Step-by-step explanation:

An exponential function has the characteristic that it increases by a constant factor when the independent variable increases by a constant increment. The function you describe is an exponential function.

__

It can be written in the form ...

  f(t) = f(0)·2^(t/d) . . . . . where d is the doubling time

6 0
3 years ago
Identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
AnnyKZ [126]

Using it's concepts, it is found that for the function f(x) = \frac{5x}{x - 25}:

  • The vertical asymptote of the function is x = 25.
  • The horizontal asymptote is y = 5. Hence the end behavior is that y \rightarrow 5 when x \rightarrow \infty.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. They also give the end behavior of a function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

For the vertical asymptote, it is given by:

x - 25 = 0 -> x = 25.

The horizontal asymptote is given by:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = 5

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0
2 years ago
A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hit the ground. a.Find
Lyrx [107]
A.)
<span>s= 30m
u = ? ( initial velocity of the object )
a = 9.81 m/s^2 ( accn of free fall )
t = 1.5 s
s = ut + 1/2 at^2 
\[u = \frac{ S - 1/2 a t^2 }{ t }\]
\[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \]
\[u = 12.6 m/s\]
</span>
b.)
<span>s = ut + 1/2 a t^2
u = 0 ,
s = 1/2 a t^2
\[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\]
\[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\]
\[s = 8.0917...\]
\[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \] </span>
4 0
3 years ago
Which one is proportional? Im a little confused lol
Kobotan [32]
Answer:

y = x + 4





——————-
4 0
2 years ago
5s-(100+2s =4s-2(10+s) how much boxes would they need to sell to get a equal amount each group must sell to have equal profits.
antoniya [11.8K]
5s-100-2s=4s-20-2s
3s-100. = 2s-20
+20. +20
3s-80. = 2s
-3s. -3s
-80. = -1s
-1 -1
80. = s

s=80
6 0
3 years ago
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