All categories

3 years ago

2 ( t-3) > 2t-8, what is the correct answer

1 answer:

8 0

$2(t-3) > 2t-8\ \ \ \ |\text{use distributive property}\\\\(2)(t)+(2)(-3) > 2t-8\\\\2t-6 > 2t-8\ \ \ \ \ |\text{subtract 2t from both sides}\\\\-6 > -8\ \ \ TRUE\\\\Answer:\ t\in\mathbb{R}\ (all\ real\ numbers)$

You might be interested in

How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

andrezito [222]

So an exponential equation is gonna be used for this problem. The formula for such is $y=ab^x$ , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

$y=1200(1.073)^{10} \\ y=2427.61$

8 0

3 years ago

Giving out Brainlist! Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height

Ulleksa [173]

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 2x represent?

2x represents the height of one kitchen table leg. 2x represents the total height of all four kitchen table legs. 2x represents the height of one coffee table leg.<span> 2x represents the total height of all four coffee table legs.</span>

8 0

3 years ago

Rewrite the following in the form log(c). log(4) - log(2)

Elis [28]

Answer:

log(2)

Step-by-step explanation:

log(4) − log(2)

log(4/2)

log(2)

3 0

3 years ago

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

avanturin [10]

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

8 0

3 years ago

"sam's furniture was destroyed by a fire. the furniture cost $1200 when it was purchased, but similar new furniture now costs $1

oee [108]

Deprecated means the price is decreased, so if something is deprecated by 50% (which just means 1/2 is taken away) its original price is just cut in half. so half of 1200 (1200 divided by 2) is 600. i think the answer is 600 :-)

8 0

3 years ago