Answer:
Before Tax Price: $110.00
Sale Tax: 6.10% or $6.71
After Tax Price: ($116.71)
Step-by-step explanation:
Answer:-5
Step-by-step explanation:
The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":
<span>Δ=<span>b2</span>−4ac</span>
Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios:
<span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span>
This just means: "if the discriminant is greater than zero, there will exist two x-intercepts"
And for the second scenario:
<span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span>
This means: "if the discriminant is equal to zero, there will be one and only one x-intercept"
And for the last scenario:
<span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span>
This means that :"if the discriminant is less than zero, there will be no x-intercepts"
So, if we take your excercise and analyze the the discriminant:
<span>3<span>x2</span>+7x+m=y</span>
we will find the values that satisfy y=0 :
<span>3<span>x2</span>+7x+m=0</span>
And we'll analyze the discriminant:
<span>Δ=<span>72</span>−4(3)(m)</span>
And we are only interested in the values that make the discriminant equal zero:
<span><span>72</span>−4(3)(m)=0</span>
All you have to do is solve for "m".
Answer:
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The domain of a function is the set of all possible values of x
The domain of the line with negative slope is the interval [1,3)
The domain of the line with slope equal to zero (horizontal line ) is the interval [3,5)
so
The domain of the piece-wise function is the interval [1,5)
The value of x=1 is included in the domain set
The value of x=5 is not included in the domain set
Answer:
Step-by-step explanation:
Firstly you could expand the indices
This would give you
5 x 5 x 5
This is because 5² is equivalent to 5 x 5
5 x 5 x 5 =125
But we have to give the answer in index form
This means the answer is 5 cubed or 5³
