Answer: x = 5, x = -7/2
<u>Step-by-step explanation:</u>
2x² - 3x - 35 = 0
<u>Step 1:</u> Find two values whose product = 2(-35) and sum = -3: -10 & 7
<u>Step 2: </u>Replace the b-value of -3x with -10x + 7x:
2x² - 10x + 7x - 35 = 0
<u>Step 3:</u> Factor the first two terms and the second two terms:
2x(x - 5) +7(x - 5) = 0
<u>Step 4</u>: Write the factored form:
Notice that the parenthesis are identical. This is one of the factors. The outside values are the other factor:
Parenthesis: (x - 5)
Outside: (2x + 7)
Factored form: (x - 5)(2x + 7) = 0
<u>Step 5: </u>Set each factor each to zero and solve for x:
x - 5 = 0 2x + 7 = 0
x - 5 
That is 77 to the power of twelve which is 77x77x77x77x77x77x77x77x77x77x77x77.
Answer:43439888521963583647921
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➷ M = k x r^2
Substitute in the values:
14 = k x 2^2
Divide both sides by 2^2 to find k:
k = 3.5
Substitute the new values in:
224 = 3.5 x r^2
Divide both sides by 3.5 to find r^2
r^2 = 64
Square root it:
r = 8
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Answer:
a) $4110
Step-by-step explanation:
Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.
We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.
The cost of x jackets would be 
.
The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.
Therefore, the total cost of producing x rain coats would be .
To find the total cost of producing 118 rain coats, we will substitute 
in the above equation as:
Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.
<h2>The graph of y = ax^2 + bx + c
</h2><h2>A nonlinear function that can be written on the standard form
</h2><h2>ax2+bx+c,where a≠0
</h2><h2>All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
</h2><h2>
y=x2
</h2><h2>
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
</h2><h2>x=−b2a
</h2><h2>The y-coordinate of the vertex is the maximum or minimum value of the function.
</h2><h2>a > 0 parabola opens up minimum value
</h2><h2>a < 0 parabola opens down maximum value
</h2><h2>
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
</h2><h2>The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
</h2><h2>x=−b2a
</h2><h2>The y-intercept of the equation is c.
</h2><h2>
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.</h2>
