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iris [78.8K]
2 years ago
9

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determin

e two values of xx that support your conclusion.
-10x=-80
Mathematics
1 answer:
Serga [27]2 years ago
6 0

Answer:

One Solution

x = 8

Step-by-step explanation:

Given

-10x = -80

Required

Determine the number of solution and the value of x

The equation is a linear equation and they have just one solution

Solving further [Divide both sides by -10]

\frac{-10x}{-10} = \frac{-80}{-10}

x = \frac{-80}{-10}

x = 8

Hence;

<em>x has only one value</em>

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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What
Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ab

- The Addition property of equality states that:

If\ a=b\ then\ a+c=b+c

- The Subtraction property of equality states that:

If\ a=b\ then\ a-c=b-c

- The Multiplication property of equality states that:

If\ a=b\ then\ a*c=b*c

- The Division property of equality states that:

If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}

Given the following equation:

4(3x-8)-4=24

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24

2. Combining (or adding) like terms:

12x-36=24

3. Addition property of equality, because she added 36 to both sides of the equation:

12x-36+36=24+36\\\\12x=60

4. Division property of equality, because she divided both sides of the equation by 12:

\frac{12x}{12}=\frac{60}{12}\\\\x=5

7 0
2 years ago
Read 2 more answers
Find the third iterate, x3, of the function f(x) = 3x + 5 for an initial value of x0 = 1.
ratelena [41]
Find the third iterate, x3, of the function f(x) = 3x + 5 for an initial value of x0 = 1. <span>x1 = 3(1) + 5 = 8 ... x2 = 3(8) + 5 = 29 ... x3 = 3(29) + 5 = 92 </span>
4 0
2 years ago
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Ever
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Answer:

A

Step-by-step explanation:

slope=\frac{-0.3-(-1.3)}{3-0}=\frac{1}{3}\\eq.~of~line~is y-(-1.3)=\frac{1}{3}(x-0)\\y=\frac{1}{3}x-1.3\\as~it~is~shaded~to~the~right~so~y\leq \frac{1}{3}x-1.3~satisfies ~it.

7 0
2 years ago
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Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?
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It would be 12(4x+6). This can also be represented as 48x + 72.





4 0
2 years ago
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Amanda and Jessica bought vegetables for their newly opened restaurant. Amanda bought potatoes and onions. For every 18 pounds o
Korolek [52]
First, we determine the number of onions bought by Amanda using the given ratio above,

      O1 = (60 lbs potato)(4.5 lbs onion/18 lbs potato)
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This should also be the same as the amount of onions bought by Jessica. With this, we can then determine the amount of broccoli bought by Jessica given the ratios.

         B = (15 lbs onions)(18 lbs broccoli/4 lbs onions)
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Answer: 67.5 lbs broccoli
7 0
2 years ago
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