Answer:
y = x² - 3x - 28
Step-by-step explanation:
given a parabola with x- intercepts x = a and x = b , then
(x - a) and (x - b) are the corresponding factors and the equation is the product of its factors
y = (x - a)(x - b)
here the x- intercepts are x = - 4 and x = 7 , then the factors are
(x - (- 4)) and (x - 7) , that is (x + 4) and (x - 7) , then
y = (x + 4)(x - 7) ← expand using FOIL , then
y = x² - 3x - 28 ← in standard form
Answer:
The height of the prism is equal to 
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
h is the height of the prism
In this problem we have


substitute in the formula and solve for h


Let's solve your equation step-by-step.
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
<em>Step 1: Simplify both sides of the equation.
</em>
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)
−66.17738=28.4574x+7.2798+−7.1x+48.28
−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)
−66.17738=21.3574x+55.5598
−66.17738=21.3574x+55.5598
<em>Step 2: Flip the equation.
</em>
21.3574x+55.5598=−66.17738
<em>Step 3: Subtract 55.5598 from both sides</em>.
21.3574x+55.5598−55.5598=−66.17738−55.5598
21.3574x=−121.73718
<em>Step 4: Divide both sides by 21.3574.
</em>
21.3574x
21.3574
=
−121.73718
21.3574
<u>x=−5.7</u>
The factoring of the expression x²=-x+6 is (x-2)(x+3)
By ordering the values, we get:
x² + x - 6 = 0
To solve this exercise, we have to follow the rules of factoring:
1. Looking for the a and b number that state the following equations:
Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.
The number could be:
a = -2
b = 3
Confirming:
a + b = -2 + 3 = 1
a * b = (-2) * 3 = - 6
2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:
(x-2)(x+3)
<h3>What is factoring?</h3>
Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
Learn more about factoring at brainly.com/question/24734894
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