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fiasKO [112]
2 years ago
13

Solve this inequality and show the result on a number line.

Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

\\ \bull\tt\longmapsto 5(x-2)\geqslant 4(x-2)

\\ \bull\tt\longmapsto 5x-10\geqslant 4x-8

\\ \bull\tt\longmapsto 5x-4x\geqslant -8+10

\\ \bull\tt\longmapsto x\geqslant 2

  • x is either 2 or greater than 2.
andrew11 [14]2 years ago
6 0

∙⟼5(x−2)⩾4(x−2)

∙⟼5x−10⩾4x−8

∙⟼5x−4x⩾−8+10

∙⟼x⩾2

x is either 2 or greater than 2.

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A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
The graph of f(x) = x2 + x - 6 is shown below.
guapka [62]

Answer:

the solutions of a function are the points where for some value of x the function becomes zero

thus the solns for this graph would be

<h3>-3 , 2</h3>

that's option 1.

3 0
2 years ago
What are the next 3 terms of the following sequence?<br> 3, -1, -5, -9
MA_775_DIABLO [31]

Answer: -13, -17, -21

Explanation: Subtract 4 from each term. Do this for 3 terms

6 0
3 years ago
Any number that is divided by 2 is also divided by 6
natali 33 [55]

Answer:

Step-by-step explanation:

True

6•2=12

4 0
3 years ago
Help me with math please
pentagon [3]

Answer:

B. 1/6

Step-by-step explanation:

8 0
3 years ago
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