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4 years ago

Describe the end behavior of the function: f(x) = 1/2*2^x +3

1 answer:

7 0

Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.

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Divide. Give the quotient and remainder. 61/8

devlian [24]

The answer is 7R5. Definitely

5 0

3 years ago

HELP PLEASE FOR 35 POINTS!!!! Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared,

denis23 [38]

Answer:

$x=-3$

Step-by-step explanation:

So, we are given:

$\frac{3}{x}=\frac{4x+3}{x^2}$

First, we should immediately rule out 0 as an answer. This is because the if $x=0$ , the equation would be undefined.

$x\neq 0$

Now, cross multiply.

$3(x^2)=x(4x+3)$

$3x^2=4x^2+3x$

Divide everything by x (and we can do this safely because we already know x cannot be equal to zero).

$3x=4x+3$

$-x=3$

$x=-3$

We didn't run into any possibilities for extraneous solutions.

7 0

3 years ago

Given that (2x-1)(x+5)=2x^2-mx-5, what is the value of m

aksik [14]

Expand the left side
2x(x + 5) - 1(x + 5) = 2x² - mx - 5
2x² + 10x - x - 5 = 2x² - mx - 5
2x² + 9x - 5 = 2x² - mx - 5
cancel 2x² and -5
9x = - mx

m = -9
sorry i was wrong, my mistake hehe

3 0

4 years ago

Write the equation of the line,in slope-intercept form, that has a slope of -2 and goes through the point (1,1)

kirza4 [7]

Answer:

The equation of the line would be y = -2x + 3

Step-by-step explanation:

In order to find the equation of the line, start by using point-slope form with the known information.

y - y1 = m(x -x1)

y - 1 = -2(x - 1)

Now that we have this, solve for y.

y - 1 = -2x + 2

y = -2x + 3

8 0

3 years ago

((PLEASE HELP ASAP!! D:)) Natasha bought a tennis racket that was marked down in price, p, by 20%. Write an expression with TWO

kumpel [21]

Answer: p - 0.2p

Step-by-step explanation:

Given the following :

Original Price of tennis racket = p

Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p

Amount after discount = Amount paid by Natasha

Amount after discount = Original price - Discount

Amount after discount = p - 0.2p

Amount paid by Natasha = p - 0.2p

7 0

4 years ago