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3 years ago

HELP ASAP!! drag each expression into the correct category according to its sum or product.

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

Here are the answers. Hope this helps you!

Step-by-step explanation:

11/12*9/22 = rational (as the solution is 33/88 which is in p/q form with q not equal to 0 and p and q as integers.)

√5 *8 = 8√5 = irrational

3 + √17 = irrational (sum of a rational and irrational number is always irrational)

√3*√12 = √36 = 6= rational number

π - 2π = -π = irrational (since π is irrational)

-3/8 + 3/5 = -15+24/40 = 9/40 = rational

√6/2 - 1/2 = 1/2*√6 - 1 * 1/2 = 1/2 (√6 - 1) = irrational (in this case difference is irrational and the product is clearly irrational as well).

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I Prove that Cos(90-θ)/1+sin(90-θ) +1+sin(90-θ) /cos(90-θ) =2

USPshnik [31]

Okay,

so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!

Hope this helped! :)

6 0

3 years ago

Read 2 more answers

F(x)=25x^2-10x+1 what is the the value of the discriminant of f

Elanso [62]

Answer:

Step-by-step explanation:

Quadratic equation

$x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}$

The discriminant is the part of the quadratic formula within the square root symbol: ${b^{2}-4*a*c}$ . The discriminant indicates if there are two solutions, one solution, or none.

The discriminant can be positive, zero or negative which determines how roots exist for the given quadratic equation.

So, a positive discriminant tell us that the quadratic has two different real solutions.

A discriminant of zero tell us that the quadratic has two real and equal solutions.

And a negative discriminant tell us that none of the solutions are real numbers.

In this case: 25x^2-10x+1=0

We can see that

a= 25 b=-10 c=1

Using: ${b^{2}-4*a*c}$

We have $-10^{2}-4* 25*1 =100-100=0$

the answer is zero, so the quadratic has two real and equal solutions

7 0

3 years ago

Matt wants to buy a television. If he

VladimirAG [237]

Answer:

The cost of the television is $\$294$

Step-by-step explanation:

Let

x -----> the cost of the television in dollars

we know that

The cost of the television represent 100%

then

$100\%-7\%=93\%=93/100=0.93$

The cost is 0.93x

then

$100\%+10\%=110\%=110/100=1.1$

The cost is 1.1x

The difference between the two methods is

$1.1x-0.93x=0.17x$

Remember that

The difference between the two methods is $49.98

$0.17x=49.98$

Solve for x

$x=\$294$

7 0

3 years ago

Evaluate the function

Sedaia [141]

$f(0) = {4}^{3 \times 0 + 3} = {4}^{0 + 3} = {4}^{3} = 64$
The answer is above.
Additional note 1:
${4}^{3} = 4 \times 4 \times 4 = 16 \times 4 = 64$
Additional note 2:
In the answer I filled in "0" at the place where "n" was. This is because the question tells us n=0

4 0

3 years ago

What is the anser to the equation 2^{2x+2} = 2^{3x}

Marianna [84]

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

8 0

3 years ago