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UNO [17]
3 years ago
11

9. Cal is buying T-shirts and shorts. T-shirts

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Hey there!

Step By Step:

Well so we know that 12 is about half of an 25. So what we are gonna do is to buy 3 of 12$ and 2 of 25$.

3x12=36 and 2x25=50.

With adding those two last numbers, you’ll get $86.

Graph would be down below.

Hope it helps :D

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​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

x^{3}+7 x^{2}+12 x=0

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

x^{3}+7 x^{2}+12 x=0

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
Help!!!!!<br> factor 3^2+15x-42
nydimaria [60]

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

8 0
2 years ago
The mode and median of the data set below have the same value. What is the missing number?
Maru [420]
10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)
5 0
3 years ago
Imagine a 8x8 chessboard, with king beginning from top left by how many routes can he reach bottom right
inna [77]
At least 8 routes, at most 63 routes
7 0
3 years ago
Plzz help I'LL GIVE BRAINLIEST AND 100 POINTS
Paul [167]

Answer:

6th graders have more participators in extracurricular activities than 4th graders.

There are more 6th graders than 4th graders that participate in extracurricular activities.

Step-by-step explanation:

6 0
3 years ago
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