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2 years ago

Solve. Graph the solution and write the solution in interval notation. 2x+4≤3(x+2)

Mathematics

2 answers:

Marizza181 [45]2 years ago

8 0

(-∞,-2/5]

I’m not sure if this is right

Rashid [163]2 years ago

5 0

2x+4≤3(x+2)
Multiply numbers
8≤3(x+2) distribute 3 through the parenthesis
8 ≤ 3x +6
Move the variable to the left and change ints sign
8 - 3x ≤ 6
Move the constant to the right-hand side
And change its sign
-3x ≤ 6 - 8
Calculate the diffrences
-3x ≤ -2
Divide both sides of the inequiality by -3 and flip the inequality sign
X ≥ 2/3 - solution

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(5CQ) Use the comparison test to determine whether the series 25/3+125/9+625/27+... is convergent or divergent.

olya-2409 [2.1K]

The terms in the sum are given by the sequence

$\left\{\dfrac{5^{n+1}}{3^n}\right\}_{n\ge1}$

We have

$\dfrac{5^{n+1}}{3^n}>\dfrac{5^n}{3^n}=\left(\dfrac53\right)^n>1$

for all $n$ , and the series $1+1+1+\cdots$ clearly diverges, so $\dfrac{25}3+\dfrac{125}9+\cdots$ must also diverge.

4 0

4 years ago

The table shows the cost of ordering a certain number of pizzas. What is the

azamat

Answer:

y=px

so the answer would be $49.95

pretty sure

Step-by-step explanation:

4 0

3 years ago

I need help. trying to solve this.

kkurt [141]

You can use this formula
${x}^{2} + (a + b)x + ab$
a and b are the solutions to the equation

${x}^{2} + ( - \frac{2}{5} + \frac{1}{3} )x + ( - \frac{2}{5} \times \frac{1}{3} ) = 0 \\ {x}^{2} - \frac{1}{15}x - \frac{2}{15} = 0$

8 0

3 years ago

How do I solve bh+hr=25 when solving for b

Alexxx [7]

Bh + hr = 25

you can factor out an h from the left side of your equation:

h(b + r) = 25 ... divide both sides by h
b + r = (25/h) ... subtract r
b = (25/h) - r

3 0

3 years ago

Read 2 more answers

Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time

OlgaM077 [116]

Answer with Step-by-step explanation:

Let speed of one car=x miles/h

Speed of second car=x+8 mi/h

Time,t=2 hours

Distance between two cars=208 miles

We have to find the average speed for each car for 2-hour trip.

Distance= $Speed\times time$