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3 years ago

For what values of x is the function f(x)=x^2-4x-5 increasing?

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

For x ∈ [ - b / ( 2a ) ; +oo ) , f is increasing; => x ∈ [ +2 ; +oo ).

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Please help it’s finding sin C , cos C and tan C

Aloiza [94]

The given triangle has a right angle.

We use the mnemonics SOH-CAH-TOA.

1i) $\sin C =\frac{Opposite}{Hypotenuse}$ , $\implies \sin C =\frac{30}{34}$ , $\implies \sin C =\frac{15}{17}$

ii) $\cos C =\frac{Adjacent}{Hypotenuse}$ , $\implies \cos C =\frac{16}{34}$ , $\implies \cos C =\frac{8}{17}$

$\tan C =\frac{Opposite}{Adjacent}$ , $\implies \tan C =\frac{30}{16}$ , $\implies \tan C =\frac{15}{8}$

2. We want to find the hypotenuse.

We know an angle to be 23 degrees.

We were also given the side opposite to this angle to be 1200km.

Therefore we use the sine ratio.

6 0

3 years ago

Read 2 more answers

Carson is going on a work trip. He will get reimbursed for his expenses for

aleksley [76]

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.

He will get a flat rate of 30, plus $1.25 per mile (m) he drives.

The equation formed;

R = 30 + 1.25m

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

8 0

2 years ago

Which sum is close to 1 0.4+1/2 ,7/8+1/4,4/5+2/3 explain

serg [7]

Presuming the question is "Which sum is closest to 1".
First, you need to either convert all the fractions to decimals or all the decimals to fractions, then add each pair.
0.4 + 1/2 = 0.9
7/8 + 1/4 = 1.125
4/5 + 2/3 = 1.466666...
The first one is different from 1 by 0.1. The second is different by 0.125. The third is different by 0.46666.... Therefore, the closest sum is the first, or 0.4 + 1/2

0.4 + 1/2

3 0

3 years ago

Find the least common denominator for these two rational expressions.

lbvjy [14]

$\frac{y}{y^{2}-1},\ \frac{y}{y^{2}-8y+7}$
$=\frac{y}{(y-1)(y+1)},\ \frac{y}{(y-1)(y-7)}$
$=\frac{y(y-7)}{(y-1)(y+1)(y-7)},\ \frac{y(y+1)}{(y-1)(y+1)(y-7)}$

So the common denominator is $(y-1)(y+1)(y-7)$

8 0

3 years ago

Is 7.2727272727 a rational or irrational

postnew [5]

Answer:

I'm pretty sure It is a rational number.

Step-by-step explanation:

I am not 100% sure but here's some other information/explanation to why I think it is:

Rational means it can be a fraction.

Even though it's a repeating decimal it isn't like pi where it's nonstop.

I hope I could help you!

6 0

3 years ago