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saw5 [17]
2 years ago
5

Which statement represents the simplified form of the given equation and correctly describes the solution?

Mathematics
2 answers:
siniylev [52]2 years ago
6 0
Let's solve your equation step-by-step.
12
x
−
1
=
2
(
6
+
5
x
)
+
7
Step 1: Simplify both sides of the equation.
12
x
−
1
=
2
(
6
+
5
x
)
+
7
12
x
+
−
1
=
(
2
)
(
6
)
+
(
2
)
(
5
x
)
+
7
(Distribute)
12
x
+
−
1
=
12
+
10
x
+
7
12
x
−
1
=
(
10
x
)
+
(
12
+
7
)
(Combine Like Terms)
12
x
−
1
=
10
x
+
19
12
x
−
1
=
10
x
+
19
Step 2: Subtract 10x from both sides.
12
x
−
1
−
10
x
=
10
x
+
19
−
10
x
2
x
−
1
=
19
Step 3: Add 1 to both sides.
2
x
−
1
+
1
=
19
+
1
2
x
=
20
Step 4: Divide both sides by 2.
2
x
2
=
20
2
x
=
10
katovenus [111]2 years ago
5 0
A- X=10 exactly one solution
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bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
  • The vertical distance is the height of h.
  • The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

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8 0
2 years ago
A nurse has an income of $120,000. The income tax the nurse has to pay is 6%. What is the amount of income tax, in dollars and c
sleet_krkn [62]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
2 years ago
When an organism is changed or altered from its parent or original form.
Umnica [9.8K]

Answer:

c. Mutation

Step-by-step explanation:

should be right I hope lol. good luck :)

4 0
3 years ago
Read 2 more answers
4/n+9=2/7 adsdwddddfdsfefsef
beks73 [17]

Answer: n= −28 /61

Step-by-step explanation:

4 0
3 years ago
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