Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation:
Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:
D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square) two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0
Answer is:
<span>A two irrational solutions </span>
3x+15−7x=−7
Simplify:
3x+15−7x=−7
3x+15+−7x=−7
(3x+−7x)+(15)=−7(Combine Like Terms)
−4x+15=−7
Subtract 15 from both sides.
−4x+15−15=−7−15
−4x=−22
Divide both sides by -4.
−4x/−4=−22/−4
x=11/2
Answer:
Step-by-step explanation:
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Answer:
7 pizzas and 9 cans of juice
Step-by-step explanation:
The answer is 7 pizzas because if you add the 25 people plus her parents (That would be two more people) is 27. Then you have to multiply 27×2 that would equal 54. So, now you know you need 54 slices but what you is the amount of pizzas needed. The next step would be to divide 54÷8 that would equal 6.75 but you can't buy 6.75 pizzas, and you can't buy 6 pizzas because than you would leave people outside. You will need to buy 7 pizzas. It is better to have left overs than leaving people outside.
For the amount of cans would be 9 because if you add again 25 people plus her parents it would be 27. Then you multiply 27×1 that is obviously 27. The next step would be to divide 27÷3 and it would equal 9. And that is how you get your answer.