Solve the equation:
x+9= -6
x+nine=negative six
What is the value of x?
Answers
The value of x is -15.
Work:
x + 9 = -6
Move the 9 by subtracting from both sides.
x + 9 - 9 = -6 - 9
x = -15
Therefore x is -15.
Answer:
x= -15
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x+9=-6
9 is being added onto x. (+9) The opposite of addition is subtraction. Therefore, subtract 9 from both sides (-9) +9 and -9 will cancel and leave x by itself.
x+9-9= -6-9
x=-6-9
x=-15
If we want to check our answer, we can substitute -15 for x in the original equation.
x+9 = -6
-15+9=-6
-6=-6
This is true, so we know our answer is correct.
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The graph crosses the x-axis at x = 2 and x = -1 and touches the x-axis at x = 0.
The graph touches the x-axis at x = 2 and x = -1 and crosses the x-axis at x = 0.
The graph crosses the x-axis at x = -2 and x = 1 and touches the x-axis at x = 0.
O The graph touches the x-axis at x = -2 and x = 1 and crosses the x-axis at x = 0.
Answers
The correct option is,
⇒ The graph crosses the x-axis at x = -2 and x = 1 and touches the x-axis at x = 0.
What is mean by Function?
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function is,
f(x) = x⁴ + x³ - 2x²
Now, We can simplify as;
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Thus, Option (3) will be the correct option.
Learn more about the function visit:
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Answer: C. The graph crosses the x-axis at x=-2 and x=1 & touches the x-axis at x=0
Step-by-step explanation:
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
Answers
121/100 is equivalent to 1 21/100
you can solve for this by subtracting 100, the denominator, from 121, the numerator. 121-100=21. So we know that 121/100 can be simplified to one whole with 21/100 remaining...
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'of' means multiply
3/5 of 20 means
3/5 times 20/1=(3*20)/(5*1)=60/5=12/1=12
12 pack a lunch