What inequality is graphed below?

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

B. x ≤ 2.5

Step-by-step explanation:

a and d say 3 which is wrong

either b or c

the filled in dot at the line indicates this is inequality

so its b

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Find the product mentally. (2m - 9)2 <br> 2m2 - 18m + 81 <br> 2m2 - 81m + 81 <br> 4m2 - 36m + 81

Helen [10]

Hi there!

${(2m - 9)}^{2} =$
Remember the following

${(2m - 9)}^{2} = (2m - 9)(2m - 9)$
Now we can easily work out the parenthesis using FOIL method.

First 2m × 2m = 4m^2
Outside 2m × -9 = -18m
Inside 2m × -9 = -18m
Last -9 × -9 = 81

Finally some simplifying
$(2m - 9)(2m - 9) = \\ 4 {m}^{2} - 18 m - 18m + 81 = \\ 4 {m}^{2} - 36m + 81$

The third answer is correct.
~ Hope this helps you!

8 0

3 years ago

Read 2 more answers

You make 8.5% interest a year on your investment account!

likoan [24]

Answer:

$My~gain~in~that~year~was~\$176.5$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~will~be~answering~your~question!$

$I~have~\$1,500 ~in ~my ~investment~ account.~ Rate~ of~ interest ~for~ a\\ ~year~ in~ my ~investment~account = 8.5\$$

$So,~ the~ amount~ of~ money~ I~ am ~making~ on ~my ~investment ~in ~a ~year:$

$=\$\frac{1500\times 8.5}{100}$

$=\$127.5$

______________________________________________________

$I ~owe~ \$ 1600 ~on~ a ~credit~ card .~ Rate ~of ~ interest ~a ~year ~on~ this~ credit\\ card ~debt, = 19 \%$

$So,~ the~ money~ I~ am~ paying~ in~ interest ~in~ a~ year~ on~ my~ card~is:$

$=\$\frac{1600\times 19}{100}$

$=\$304$

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$Since, ~neither~ I ~withdraw ~money~ from ~my~ investment~ account ~ except~ the\\ ~interest~ nor~ I ~pay~ my~ whole ~credit~ card ~debt~ except ~the ~interest,~ so,~ my~ gain~\\ in~ that~ year:$