Write an expression to represent: The sum of one and the product of one and a number x

Answers

Answer 1

Answer: 1X+1 is the answer. Hope this helped

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What are the solutions to 3x^2+12x+6=0?

Answers

Please see the pic, I'd solved in it.

We use the quadratic formula

x = $\frac{-b +or- \sqrt{b^(2)-4ac } }{2a}$

3x² + 12x + 6 = 0
║ ║ ║
a=3 b=12 c=6

Plug it in:
$\frac{-12 +or- \sqrt{12 ^(2) -4(3)(6)} }{2(3)}$
$(-12+or- √(144-72) )/(6)$
$(-12+or- √(72) )/(6)$

Solutions:
sol.1= $(-12+ √(72) )/(6)$
= -0.585786
≈ -0.6

sol.2 = $(-12- √(72) )/(6)$
= -3.41421
≈ -3.4

Factor
the expression 3x3 +
2x2y + 3xy2 + 2y3

Answers

$3x^3 +2x^2y + 3xy^2 + 2y^3 =\n \n=x^2(3x+2y) +y^2(3x+2y)=\n \n=(3x+2y)(x^2+y^2)$

At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Answers

Answer:

$18$ skis and $10$ snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be $x$ and the number of snowboards rented be $y$ .

If a total of $28$ people rented on a certain day, then the total number of skis and snowboards rented that particular day is also $28$ .

This gives us the equation

$x+y=28...eqn(1)$ .

If skis cost $ $16$ , then $x$ number of skis cost $ $16x$ .

If snowboards cost $ $19$ , then $y$ number of snowboards cost $ $19y$ .

The total cost will give us another equation,

$16x+19y=478...eqn(2)$

From equation (1),

$y=28-x...eqn(3)$ .

We put equation (3) into equation (2) to get,

$16x+19(28-x)=478$

We expand the brackets to obtain,

$16x+532-19x=478$

We group like terms to get,

$16x-19x=478-532$

This implies that,

$-3x=-54$

We divide both sides by $-3$ to get,

$x=18$

We put $x=18$ into equation (3) to get,

$y=28-18$

$y=10$

Therefore $18$ skis and $10$ snowboards were rented.

Final answer:

To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.

Explanation:

This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:

x + y = 28 (The total number of skis and snowboards rented is 28)
16x + 19y = 478 (The total income from skis and snowboard rentals is $478)

By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.

Learn more about System of linear equations here:

brainly.com/question/20379472

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Question 24 Multiple Choice Worth 1 points)(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis