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ollegr [7]
4 years ago
10

-does anyone understand Stand this also does anyone else need help

Mathematics
2 answers:
rewona [7]4 years ago
7 0

Answer: Choice F) x \le -5

====================================================

Explanation:

One long rectangle represents x. Four of them represent 4x

One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.

So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12

The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.

----------------

The inequality we need to solve is 4x+12 \le -8

We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x

This is what the steps would look like:

4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \  \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \  \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\

The inequality sign does not flip since we did not divide both sides by a negative number.

Gre4nikov [31]4 years ago
6 0

Answer:

I think its j

Step-by-step explanation:

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6 0
3 years ago
Slove the inequality for n 24 > 18 + 2n
S_A_V [24]

Answer:

3 > n

Step-by-step explanation:

24 > 18 + 2n (minus 18 from both sides)

6 > 2n (divide by 3 in both sides)

3 > n

7 0
3 years ago
Read 2 more answers
Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.
mr_godi [17]

Option D

The trip lasts for 6\frac{1}{4}\ hours

<em><u>Solution:</u></em>

<em><u>Mr Patel is planning to drive 325 miles</u></em>

Average speed is 65 mph

He will stop one hour for lunch and take a 15 min rest break

Let us first find the time taken

Time = \frac{distance}{speed}

Time = \frac{325}{65}\\\\Time = 5

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

<em><u>Therefore, total time taken for trip is:</u></em>

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours

Thus the trip lasts for 6\frac{1}{4}\ hours

8 0
4 years ago
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4

3 0
3 years ago
Hi there, I'm pretty confused on this question. It would be amazing if someone could explain on how to do it. Thanks!
Ket [755]

Answer:

Step-by-step explanation:

when x=14

both have the same attendance i.e., 950

5 0
3 years ago
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