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4 years ago

Which situation CANNOT be represented by this equation? 6x−7=29.

Mathematics

2 answers:

Katarina [22]4 years ago

7 0

Answer: The correct option is

(A). Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6$6 on gas, how many hours, x, will he need to mow to have $29 left?

Step-by-step explanation: We are given to select the situation that CANNOT be represented by the following equation:

$6x-7=29~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Option (A) :

Since Joel earns$7 per hour, so total earning of Joel in x hours = $ 7x.

Also, he spends $6 on gas and left with $29, so the equation representing this situation will be

$7x-6=29.$

Since the above equation is not same as equation (i), so option (A) is correct.

Option (B) :

Since Joel mows his aunt's lawn for $6 per hour, so total earning of Joel in x hours = $ 6x.

Also, he spends $7 on gas and left with $29, so the equation representing this situation will be

$6x-7=29.$

Since the above equation is same as equation (i), so option (B) is incorrect.

Option (C) :

Since Joel takes 6 hours to mow his aunt's lawn, so total earning of Joel if he earns $x per hour x hours = $ 6x.

Also, he spends $7 on gas and left with $29, so the equation representing this situation will be

$6x-7=29.$

Since the above equation is same as equation (i), so option (C) is incorrect.

Since the equation in option (A) does not match with equation (i), so, option (A) is correct.

Soloha48 [4]4 years ago

6 0

Answer: A

Step-by-step explanation:

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) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

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4 years ago

What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x

mario62 [17]

If we factorize the expression

$6x^4-9x^3-36x^2+54x$

We will get

$3x(2x-3)(x^2-6)$

Hope I helped!

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3 years ago

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A baseball player reaches first base 20% of the times he is at bat. Out of 70 times at bat, about how many

leva [86]

Roughly 14 times as 20% of 70 is 14.

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3 years ago

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Aleksandr [31]

Answer:

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3 years ago

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FrozenT [24]

Answer:

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Step-by-step explanation:

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3 years ago