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N76 [4]
3 years ago
15

Describe how to graph the solution of y <= - x ^ 2 + 2x​

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer:

Graph the parabola opening down,

Step-by-step explanation:

With the vertex at (1, 1),factor the quadratic as y < (less than or equal to) –1(x)(x – 2),find the roots of the parabola to be 0 and 2,graph the parabola with a solid boundary line,test a point that is not on the boundary,and shade inside the parabola.

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The sum of a number and its square is 182. Find the number.
Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}       or      \frac{-b-\sqrt{b^2-4ac} }{2a}

a = 1, b = 1, c = -182

\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}       or     \frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}

\frac{-1+\sqrt{1+728} }{2}      or         \frac{-1-\sqrt{1+728} }{2}

\frac{-1+\sqrt{729} }{2}            or    \frac{-1-\sqrt{729} }{2}

\frac{-1+{27} }{2}     or    \frac{-1-{27} }{2}

\frac{26}{2}     or    \frac{-28}{2}

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0
3 years ago
How much line of symmetry an square
zhenek [66]
4 because you can draw a line horizontally and a line vertically and also two lines diagonally. 
8 0
2 years ago
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PLEASE HELP ME 16 POINTS PLEASE HELP
lorasvet [3.4K]

Answer:

A.

Step-by-step explanation:

6 0
3 years ago
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Which number line shows the solution to 11x + 14 &lt; –8?
Alika [10]

Answer:

positive 11x+ positive 14 to the right is greater than negative 8 to the left

Step-by-step explanation:

hope I helped

4 0
3 years ago
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Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
alukav5142 [94]

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to \frac{1}{4}. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

4 0
3 years ago
Read 2 more answers
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