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3 years ago

Solve the following equations for x 13−(2x+2)=2(x+2)+3x

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x

Combine like terms on each side of the equation: 11 - 2x = 5x + 4

Add 2x to both sides, and subtract 4 from each side: 7 = 7x

Divide both sides by 7: x = 7

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Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

Please help see picture

Otrada [13]

Answer:

688 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

Base: 6 cm

Height: 12 cm

Length: 20 cm

Perimeter of Base: (6 + 12.4 + 12.4) = 30.8 cm

============================================

Surface Area = 6 × 12 + 20 × (30.8) = 688 cm²

5 0

2 years ago

george buys a bowl of soup and bread for $8.00 and leaves a 6% tip what is the total cost of the meal

Paladinen [302]

Answer:

$8.48

Step-by-step explanation:

$8.00 x .06%= $ .48 ---$8.00 + $ .48=$8.48

4 0

3 years ago

Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy m

never [62]

C= 20-0.75x
c= 20-0.75(9)
c= 20-6.75
c= 13.25

Here c is the amount of change and x is the number of books bought.

The customer's change will be $13.25

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP

pishuonlain [190]

You have that:

1. By definition, a binomial is a polynomial formed by two terms.
2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
3. Keeping this on mind, you must identify which binomial has degree 5.
4. As you can see, the expression <span>3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
5. Thefore, the answer is: </span>3x^5+2

8 0

3 years ago