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iren2701 [21]
3 years ago
13

Evaluate the following piecewise function f(1)=

Mathematics
1 answer:
ElenaW [278]3 years ago
6 0

Answer:

I would guess it is 1F

Step-by-step explanation:

There is a 1 infront of the F so 1 times one, I think dont count me on that

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Find the 97th term of the arithmetic sequence
kozerog [31]
<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, a_{n}  = a_{1} + (n - 1) d

Substituting the values in the above equation, we get

a_{97}  = 25 + (97 - 1) 4

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0
3 years ago
Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.
Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

(a^{m})^{n}  = a^{m*n}

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0
2 years ago
Will mark brainliest!! solve &amp; simplify the following equation: 2x²-7x=4​
Goryan [66]

Answer:

x=  −1 /2   or x=4

Step-by-step explanation:

This is ALGEBRA, equations, factoring and zero property. ok.. let's solve this step-by-step

2x^2−7x=4

<u>Step 1: Subtract 4 from both sides. </u>

2x^2−7x<u>−4 </u>=4 <u>−4 </u>

2x^2−7x−4=0

<u>Step 2: Factor left side of equation. </u>

(2x+1)(x−4)=0

<u>Step 3: Set factors equal to 0. </u>

2x+1=0 or x−4=0

x=  −1 /2   or x=4

(BTW, there are supposed to be two answers, it's factoring)

Sorry if the format is not clear, but I hope this helped (really feel you, algebra can be brain-striking)!! Please leave a comment, rating and/or mark as the brainliest-whichever you think I deserve! Thank You :)

4 0
3 years ago
Make the indicated trigonometric substitution in the given algebraic expression and simplify(x-25)/x = Sin y0
Strike441 [17]

Answer:

x = 25 /(1 − sin(y )) and y ≠ π/2  +2πn

Step-by-step explanation:

Let's solve and simplify for x,

(x − 25 )/ x  = sin(y)

Let's multiply both sides by x

((x − 25 )/x) *x= sin(y)*x

Then,

x − 25 = sin(y) * x

Let's add 25 to both sides

x − 25 + 25 = sin(y) * x + 25

If simplify again,

x = sin(y) * x + 25

Then we need subtract sin y x from both sides

x − sin(y) * x = sin (y)* x + 25 − sin (y)* x

It will equal:

x − sin (y)* x = 25

Factor x−sin(y) x: x(1−sin(y) ), then we get:

x (1 − sin(y)) = 25

Finally we need divide both sides by 1 − sin(y) ; y ≠π /2 + 2πn

And it will give us this equation:

x = 25 /(1 − sin(y )) and y ≠ π/2  +2πn

3 0
3 years ago
This how dog looks like<br> She looking like a rat
Sati [7]

Answer:

Awe she is so cute!!!!!!! She looks like a Brown lab and a poodle mix. I WISH I COULD HAVE HER!

Step-by-step explanation:

6 0
3 years ago
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