Use the distributive property to solve the following equation: 2 + 4(2z + 3) = 15

Mathematics

2 answers:

enyata [817]3 years ago

6 0

Answer:

8z+12

Step-by-step explanation:

pickupchik [31]3 years ago

6 0

<h2><u><em>Answer:</em></u></h2><h2><u><em>z=18</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>Step 1: Simplify both sides of the equation.</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>2+(4)(2z)+(4)(3)=15(Distribute)</em></u></h2><h2><u><em>2+8z+12=15</em></u></h2><h2><u><em>(8z)+(2+12)=15(Combine Like Terms)</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>Step 2: Subtract 14 from both sides.</em></u></h2><h2><u><em>8z+14−14=15−14</em></u></h2><h2><u><em>8z=1</em></u></h2><h2><u><em>Step 3: Divide both sides by 8.</em></u></h2><h2><u><em>8z8=18z=18</em></u></h2>

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Andrew has 212 coins, all of

Igoryamba

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

10d + 25q = 4490 d + q = 212

15q = 2370

q = 158 quarters d + 158 = 212

d = 54 dimes

8 0

3 years ago

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algol [13]

Answer: B) F(x) = √x and G(x) = 3x + 2

<u>Step-by-step explanation:</u>

The composite function G(F(x)) is when you replace every x-value in the G(x) function with the F(x) function.

$A)\ G(3x+2) = \sqrt{3x+2}\\\\B)\ G(\sqrt{x})=3(\sqrt{x})+2\quad =3\sqrt{x}+2\\\\C)\ G(\sqrt{x}+2) = 3\quad \text{there are no x-values in the G(x) function to replace}\\\\D) G(3\sqrt{x})=2\quad \text{there are no x-values in the G(x) function to replace}$