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Vikentia [17]
3 years ago
12

Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E

ndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

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F(x)=x2+8x+6. What is the value of f(4)?
dezoksy [38]
46

When it says f(4) that means x=4

So you then just fill in all the x’s with 4’s and solve as normal
4 0
3 years ago
Mike hiked to a lake in 4.5 hours at an average rate of 2
aleksandrvk [35]

Answer:

It took Pedro  <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = 2\frac{1}{5}\ miles/hr

Formula for distance can be seen as:

Distance = Speed\times Time

Distance traveled by Mike = 4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles

Rate of Pedro while hiking the same distance = 2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr

Given that, Pedro also travels the same distance.

And we have to find the Time.

Time = \dfrac{Distance}{Speed}

Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}

It took Pedro  <em>3.81 hours</em> to reach the lake.

6 0
3 years ago
1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the P
Anarel [89]
The Pythagorean theorem is the square of the length hypotenuse side of a right triangle equals the sum of the squares of the lengths of the other 2 sides. <span />
3 0
3 years ago
Help me out plzz will give u brainliest
djyliett [7]

Answer: Option 3 = 4

Step-by-step explanation: f(x) = 6 - 2x

f(0) = 6 - 2(0) Range = 6

f(2) = 6 - 2(2) Range = 2

f(4) = 6 - 2(4) Range = -2

f(6) = 6 - 2(6) Range = -6

f(8) = 6 - 2(8) Range = -10

The only one that doesn't belong is 4 option 3.

You're welcome!!

Nighty Night!!!

8 0
3 years ago
Read 2 more answers
Please help me i really need to pass!! i’ll mark you as brainliest
lapo4ka [179]

Answer:

x=33.4

Step-by-step explanation:

4 0
3 years ago
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