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masya89 [10]
3 years ago
14

In order to solve the equation 9x = -3 (2+ 3y) for y a student simplifies the equation as shown

Mathematics
1 answer:
stepan [7]3 years ago
6 0
The student should have distributed the -3 to both terms in the parenthesis in the first step. so it should’ve been 9x= -6-9y
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Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I
Sindrei [870]

The value of a is \frac{-9}{4}

Step-by-step explanation:

<u>1. Determine the other solution of x</u>

If one value is 5 + \frac{3}{2} then the other value is 5 - \frac{3}{2}

<u>2. Use reverse technique to find the equation</u>

(5 + \frac{3}{2}) (5 - \frac{3}{2}) = 0

25 - \frac{-15}{2} + \frac{15}{2} - \frac{9x^{2} }{4} = 0

- \frac{9x^{2} }{4} + 25 = 0

<u>3. The equation is</u> - \frac{9x^{2} }{4} + 25 = 0

<u>4. Find the value of a</u>

a is the number with the variable x^{2} therefore it is - \frac{9}{4}

Keyword: quadratic equation, solution

Learn more about quadratic equation at

  • brainly.com/question/4460262
  • brainly.com/question/1332667

#LearnwithBrainly

8 0
4 years ago
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange
Vika [28.1K]

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

4 0
3 years ago
Two numbers have an absolute value of 16. Which of the two numbers is greater than 12
torisob [31]
The two numbers are l-16l and l16l. the one that is greater than 12 is l16l
8 0
4 years ago
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The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
defon
Answer: You should cut out squares that are 4 inches by 4 inches.

One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.

The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.

Length = 19 - 2x
Width = 18 - 2x
Height = x

Volume = LWH

So our equation could be: y = (19 - 2x)(18 - 2x)x

If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
8 0
3 years ago
The purchase price of an iPad is $625.00. There is a 15% discount and the tax rate is
vagabundo [1.1K]

Answer:

$573.75

Step-by-step explanation:

625.00x15%=93.75

625.00-93.75=531.25

531.25x8%=42.50

531.25+42.50=573.75

5 0
3 years ago
Read 2 more answers
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