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SOVA2 [1]
3 years ago
11

One of the solutions to the equation 5x^2+bx+12=0 is − 4/5. Find the other solution.

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

b=-19

Step-by-step explanation:

We know that one of the solutions is x=-4/5

That is a solution to x. So if we plug in (-4/5) into the x in the equation, then it should equal 0.

5(-4/5)^2+b(4/5)+12=0

Now, just solve for b.

5(16/25)+b(4/5)+12=0

(16/5)+(4/5)b+12=0

(76/5)+(4/5)b=0

(4/5)b=-(76/5)

b=-19

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Marina paid $2,000 for a tablet PC after receiving a 25 percent discount. What was the price of the tablet before the discount?
tensa zangetsu [6.8K]

The price of the tablet before the discount is $ 2667

<h3><u>Solution:</u></h3>

Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount

To find: The price of the tablet before the discount

Let "a" be the price of the tablet before the discount or original price

After receiving a 25 percent discount means 25 percent discount in original price

Discount = 25 % of original price

Discount = 25 % of "a"

\begin{array}{l}{\text {discount}=\frac{25}{100} \times a} \\\\ {\text {discount}=0.25 a}\end{array}

Now we can say that,

<em>price of tablet after discount = price of the tablet before the discount - discount</em>

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Thus the price of the tablet before the discount is $ 2667

4 0
3 years ago
Convert 244 16 to decimal:
vlabodo [156]

Answer:

15.25 is your answer

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
3 years ago
Using transformations
Delvig [45]
I have the graphed answer right here

4 0
3 years ago
Hello, I need help with this question.
ella [17]

Answer:

The answer would be 22/12 or 1 and 11/12

Step-by-step explanation:

1/2+2/3+3/4

First get common denominators so you have a denominator of 12 so 6/12+8/12+9/12

Add those together and you get 23/12 but you have to subtract one because that's what the problem says so you get 22/12

4 0
3 years ago
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