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Shkiper50 [21]
2 years ago
13

Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.

Mathematics
1 answer:
kondaur [170]2 years ago
6 0

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

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Rewrite the expression with a rational exponent as a radical expression.
tatiyna

Answer:

First option is correct.

\sqrt[10]{4}

Step-by-step explanation:

Given:

The given expression is (4^{\frac{2}{5}})^{\frac{1}{4}}

We write the given expression with a rational exponent as a radical expression such as.

=(4^{\frac{2}{5}})^{\frac{1}{4}}

Simplify the above equation by multiplication of powers.

=(4^{\frac{2}{5}\times \frac{1}{4}})

=(4^{\frac{1}{5}\times \frac{1}{2}})

=(4^{\frac{1}{5\times 2}})

=(4^{\frac{1}{10}})

=\sqrt[10]{4}

Therefore, The answer is =\sqrt[10]{4}.

4 0
4 years ago
Krypton-91 is a radioactive substance that decays very quickly. The function Q(t)=Qoe^-kt models radioactive decay of krypton-91
Masteriza [31]
The "k" value should have units and should be negative.
k = -.07 / seconds
Half-Life = ln (.5) / k
Half-Life = ln (.5) / -.07
Half-Life = -.693147 / -.07
Half-Life = 9.9 seconds
(actually, wkpedia says half-life of Krypton 91 is 8.57 seconds)

elapsed time = half-life * log (bgng amt / end amt) / log (2)
elapsed time = 9.9 * log (100 / 10) / 0.30102999566
elapsed time = 9.9 * 1 / 0.30102999566
<span><span>elapsed time = 9.9 * 3.3219280949 </span>
</span><span><span><span>elapsed time = 32.8870881395 </span> </span> </span>
<span>elapsed time = 32.89 seconds (rounded)

Source:
http://www.1728.org/halflife.htm

</span>
6 0
3 years ago
Read 2 more answers
Terry pays £480 per month in rent.
Sholpan [36]

Answer: £516

Step-by-step explanation:

7.5 increase = 100 + 7.5 = 107.5

107.5/100 = 1.075 (multiplier)

480 x 1.075 = 516

8 0
3 years ago
Solve the system by the substitution method.
Gemiola [76]

Answer:

(2,2)

Step-by-step explanation:

Given equations

x-3y=-4-------------------------------(1)

y=-3x+8.------------------------------(2)

Substitute 2 in 1. This means use the value of y in equation 1, to replace y

x-3(-3x+8)=-4------------------open brackets

x+9x-24=-4---------------------collect like terms

10x=-4+24

10x=20---------------------------divide by 10 both sides to get value of x

10x/10=20/10=2

x=2------------------------------use value of x in equation (2) to get value of y

y=-3x+8

y=-3(2)+8

y=-6+8=2

solutions

x=2, y=2

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The width of a rectangular room is 60 percent of its length. the length of the room is 10 feet. what is the area of the room
blsea [12.9K]
The width is 6 feet because 10•0.6=6
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