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iris [78.8K]
3 years ago
5

Practice writing and solving quadratic equations.

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }

Step-by-step explanation:

Hello,

We need to use the <u>distributive property</u> which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

x(x+1)=72\\ x*x+x*1=72\\ x^2 + x -72 = 0\\

do not hesitate if you have any question

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The school cafeteria seats 250 students. 203 students are already seated. Write and sole an inequality that represents the addit
Nitella [24]

Answer:

An equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

Step-by-step explanation:

Number of students already seated in school cafeteria = 203

Let x be the additional number of students that can be seated

So, Total number of seats available in school cafeteria = 203+x

We are given that the school cafeteria seats 250 students

So, 203+x=250

\Rightarrow x=250-203

\Rightarrow x=47

Hence an equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

6 0
3 years ago
The Temperature over a 4 day period in Pittsburgh were as follows -6, 10, 6?and -2. Find the mean
Pepsi [2]

Answer:

You add them, then subtract them by how many numbers there are :) So add them then subtract them by 4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in
PIT_PIT [208]
40 students on each bus. 248 minus 8 equals 240. 240 divides by 6 equals 40.
5 0
2 years ago
Read 2 more answers
Find the slope of the line that is parallel and perpendicular <br><br> -7x-2y=4
Rus_ich [418]

\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\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} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}

now, what's the slope of a line parallel to that one above?  well, parallel lines have exactly the same slope.

5 0
3 years ago
Help me please ASAP
Mashutka [201]

Answer: \frac{5}{35}

Step-by-step explanation:

Since, the total number of contestant = 7,

Thus, the probability that out of 3 contestant, me and my friend is chosen

= \frac{2_C_2\times 5_C_1}{7_C_3}

= \frac{\frac{2!}{2!0!}\times \frac{5!}{1!\times 4!}}{\frac{7!}{4!\times 3!}}

= \frac{1\times 5}{\frac{7\times 6\times 5\times 4!}{4!\times 6}}

=  \frac{5}{35}

⇒ Third Option is correct.

4 0
3 years ago
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