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Snowcat [4.5K]
3 years ago
15

The field hockey team is holding several fundraisers to save up enough money to buy team jackets. Babysitting earns $6 per hour

more than washing cars. Together the team worked 8 hours washing cars and 25 hours babysitting and earned a total of $414.Which system of equations best represents the situation above?Note: In all of the choices below, e represents money earned, r represents rate, and t represents time. Select one: a. e=x*8 414-e=(x)*(25-8) b. e=x*8 414-e=(x+6)*25 c. e=(x+6)*8 414-e=(x)*25 d. 414=x*8 e=(x+6)*25 Mathematics schrodinger
Mathematics
1 answer:
Tamiku [17]3 years ago
7 0
I think it's B... Hope this helps!
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Evaluate g(p)•h(p) by modeling or by using the distribution property
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g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

Solution:

Given data:

g(p)=(p-2) and h(p)=\left(p^{3}+4 p^{2}-2\right)

To find g(p) \cdot h(p):

g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)

Distributive property: a(b+c)=ab + ac

               = p\left(p^{3}+4 p^{2}-2\right) -2\left(p^{3}+4 p^{2}-2\right)

               = \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)

               = p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4

Arrange and add/subtract same powers.

              = p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4

               = p^{4}+2 p^{3}-8 p^{2}-2p+4

Hence g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

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Gnesinka [82]
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