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Ratling [72]
3 years ago
5

Simplify (7x-1)(2x+5)

Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0

\text{Simplify by using FOIL}\\\\\text{(First, Outside, Inside, Last}\\\\\text{Solve:}\\\\(7x-1)(2x+5)\\\\(7x)(2x)+(7x)(5)+(-1)(2x)+(-1)(5)\\\\14x^2+35x-2x-5\\\\\text{Combine like terms}\\\\\boxed{14x^2+33x-5}

Alex73 [517]3 years ago
5 0

Step-by-step explanation:

(7x-1)(2x+5) = 0 \\ 14x {}^{2}  + 35x - 2x - 5 = 0 \\ 14x {}^{2}  + 33x - 5 = 0 \\

now,

14 {x}^{2}   - 2x + 35x - 5 = 0 \\ 2x(7x - 1) + 5(7x - 1) = 0 \\ (2x + 5)(7x - 1) = 0 \\ 2x + 5 = 0 \:  \:  \:  \: or \:  \:  \:  \:  \: 7x - 1 = 0 \\ \\  x =  -  \frac{5}{2}  \:  \:  \:  \: or \:  \:  \:  \: x =  \frac{1}{7}

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What are the restrictions of the domain of the function F(x) = 1/x^2-9
Sonbull [250]
f(x)=\frac{1}{x^2-9}

The denominator can't be equal to 0.
x^2-9 \not= 0 \\
x^2 \not= 9 \\
x \not= -3 \ \land \ x \not= 3

The domain is all numbers except -3 and 3.
x \in \mathbb{R} - \{-3, 3 \}
6 0
3 years ago
In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
2 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
Can someone help me with this one ​
natta225 [31]

Answer:

22 would be your answer.

5 0
2 years ago
Pls help ME PLSSSSS!!!!!!
Scilla [17]

(a) the interquartile range

Would be 72 - 88

the med would be 84  

(b) I may be wrong but my guess would be

88% above all the seasons because the scale that was shown went to 100 and that would cause each win to be 1%. the bottom would have to equal out to 12% because that is what we would need to make it equal out to 100.

Hope this helps

8 0
3 years ago
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