Answer:
5 + 32 = answer
Step-by-step explanation:
PEMDAS
parentheses
exponents
multiplication
division
addition
subtraction
the parts that are in "part" are what i solved in that step and what is in 'a number' is the answer to that step
"(2 + 3)" + 4 (to the power of 2) times "(5 - 3)"
'5' + "4 (to the power of 2)" times '2'
5 + '16' times 2
5 + "16 times 2"
5 + '32'
the answer is 5 + 32. I believe you can solve the last part so technically you solved the problem and I just helped a little. :D
Add 4x to both sides and get
13 = 1 + 3x
12 = 3x [from subtracted 1 from both sides]
x = 4 [from dividing 3 from both sides]
therefore your answer would be x = 4
G(x)
You just plug 2 in for x in all four equations & see what one comes out to 32!
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".
