Are the expressions 3{y+1} and 3y+3 equivalent for any value? explain

Mathematics

2 answers:

andre [41]4 years ago

8 0

Answer:

Yes

Step-by-step explanation:

The distributive property states that a(b+c) = ab+ac. Working out the first equation, we see that 3(y+1) is 3y+3. Because the second equation is 3y+3, they are also equal.

solmaris [256]4 years ago

3 0

Answer:

yes

Step-by-step explanation:

It is because you need to times in the answer

3(y+1) mutiply it in!

3times y and 3 times 1

it equals to 3y+3

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Jonah and three of his friends are splitting the dinner bill equally among theme selves. There total bill came to be $86 before

Oksana_A [137]

Answer: Required expression: $\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}$

Each person need to pay =$ 26.66

Step-by-step explanation:

Given: Bill amount = $86

Tip percent = 18%

Sales tax = 6%

Now, total bill = (Bill amount ) + 18% of (Bill amount ) + 6% of (Bill amount )

= $[ (86) + 18% of (86 ) + 6% of (86 )]

= $[ (86) + 0.18 x(86 ) + 0.06 x (86 )]

Total persons = 3+1 = 4

Each person need to pay= $\dfrac{\text{total bill}}{4}$

$=\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}\\\\=\dfrac{[ (86) (1+ 0.18 +0.06 )]}{4}\\\\=\dfrac{86(1.24)}{4}=\dfrac{106.64}{4}=26.66$

So, each person need to pay =$ 26.66

4 0

3 years ago

Solve each problem by using the quadratic formula. Write solutions in simplest radical form. 2x2 + 2x – 2 = 0

Deffense [45]

$2x^2+2x-2=0 \ \ \ \ \ |\div 2 \\
x^2+x-1=0 \\ \\
a=1 \\ b=1 \\ c=-1 \\
b^2-4ac=1^2-4 \times 1 \times (-1)=1+4=5 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{5}}{2 \times 1}=-\frac{1 \pm \sqrt{5}}{2} \\
\boxed{x=-\frac{1+\sqrt{5}}{2} \hbox{ or } x=-\frac{1-\sqrt{5}}{2}}$