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Alexeev081 [22]
3 years ago
15

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar

e true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

The expressions 7x + 4 and 3x + 5 + 4x = 1 are equivalent for every value of x.

Step-by-step explanation:

Expressions - 7x + 4 and 3x + 5 + 4x = 1.

1. When x = 2, both expressions have a value of 18. Let's find out:

1st expression : 7(2) + 4 = 14+4 = 18

2nd expression : 3(2) + 5 + 4(2) = 1

or 6 + 5 + 8 - 1 = 18

Values of both the expressions is 18, hence it is correct statement.

2.The expressions are only equivalent for x = 4 and x = 6.

This is incorrect statement as we just calculated above that the expressions are equivalent for x = 2. Hence, it is incorrect.

3. The expressions have equivalent values for any value of x.

Say, x = 0, then,

7x + 4 = 7 (0) + 4 = 4 and,

3x + 5 + 4x - 1 =  3(0) + 5 + 4(0) - 1  = 5-1 = 4

The statement holds.

Let's try again for x = 12,

7x + 4 = 7(12) + 4 = 88 and,

3x + 5 + 4x - 1 =  3(12) + 5 + 4(12) - 1  = 36 + 5 + 48 -1 =  88

Let's try again for x = 13,

7x + 4 = 7(13) + 4 = 95 and,

3x + 5 + 4x - 1 =  3(13) + 5 + 4(13) - 1  = 39 + 5 + 52 -1 =  95

Clearly, it holds for every value of x, whether it is odd or even. Hence, it is correct statement.

_______________________________________________________

Trick: 7x + 4 = 0....(1) and,

3x + 5 + 4x = 1

Rearranging the terms of above expression, we get,

(3x + 4x) + (5 - 1) =0

or 7x + 4 = 0...(2)

clearly both (1) & (2) are equivalent.

_____________________________________________________

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7\frac{3}{20}

Step-by-step explanation:

<em>Hey there!</em>

Well to add this we need to pu it in improper form.

7/5 + 23/4

Now we need to find the LCM.

5 - 5, 10, 15, 20, 25, 30

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kyra invested $400 at 3% for 3 years . lishshawn invested $500 at 4% for 2 years calculate who earn the most interest and how mu
eimsori [14]

Answer:

Okay, so a bit of math is involved, along with steps.

Step-by-step explanation:

Kyra invested $400 at 3% for 3 years. meaning 3% of $400 is 12. 400+12=

Year 1: $412

3% of 412=12.23+412=

Year 2: $424.23

3% of 424.23=12.7+423.23=

Year 3: $435.93

Kyra made $35.93 in investments.

Lishsawn invested $500 at 4% for 2 years. Meaning, 4% of $500 is 20. 500+20

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Lishawn made $40.8 dollars in investments. Meaning that Lishawn made $4.87 more dollars

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A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms wi
hichkok12 [17]

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

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12 foot ladder is leaning against a wall = Hypotenuse

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= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

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