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3 years ago

Are these equations infinite solution, no solution, or one solution?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

1) one solution

2) Infinitely many solution

3) no solution

Step-by-step explanation:

The first equation is -14-8x=-2(-3x+7)

Let us expand the right hand side to get:

-14-8x=-2*-3x+-2*7

We multiply -14-8x=6x-14

We group similar terms to get:

-8x-6x=-14+14

Combine similar terms to get:

-14x=0

Divide through by -14 to get:

x=0

2) The second equation is 3+5x=5(x+2)-7

We expand to obtain:

3+5x=5x+5*2-7

Multiply to get:

3+5x=5x+10-7

This gives us

3+5x=5x+3

5x=5x

1=1

There is infinitely many solutions

3) The third equation is: 36-7x=-7(x-5)

We expand to get:

36-7x=-7x+35

Group similar terms;

-7x+7x=35-36

0=-1

This statement is not true so there is no solution.

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Ben made 14 field goal he made about 74% how many did he try

andriy [413]

He tried about 10
74% of 14 is 10.36
Round it to a whole number
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3 years ago

What is the least common denominator for 2/3 and 3/5

ivolga24 [154]

Answer: 15

Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.

To find the least common multiple or lcm of 3 and 5, we begin by listing the first few multiples of each number.

Multiples of 3

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

5 x 3 = 15

We skipped 0 x 3 because our lcm can't be 0.

Next we list the multiples of 5.

Multiples of 5

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

Notice that 15 appears in both lists so

our least common denominator is 15.

4 0

3 years ago

Write an equation for the cubic polynomial functior

d1i1m1o1n [39]

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

whose graph has zeroes at 2, 3, and 5.

Zeros mean:

x=2, x=3 and x=5

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

$(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\$

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

Learn more about Polynomial Function at:

#learnwithBrainly

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3 years ago

Which model represents 0.69 divided by 3 I need this ASAP DUE IN 5 minutes

Svetllana [295]

Answer:

0.23

Step-by-step explanation:

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3 years ago

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zhannawk [14.2K]

Answer:

catastrophic

Step-by-step explanation:

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3 years ago

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