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2 years ago

What’s the answer??????#9

Mathematics

2 answers:

timurjin [86]2 years ago

7 0

$\huge \tt \color{cyan}{➢}\color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\color{cyan}{➢}$

$\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}$

a polynomial equation of the second degree is said to be as quadratic equation.
quadratic:-a function, of the form y=ax²+bx+c.
Standard form of quadratic equation is ax²- bx+c=0
where a≠0

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$\large\underline{ \boxed{ \sf{✰\: Let's\: solve }}}$

$\purple{ \sf{⇒Given \:function}}$

⇒ y = -2(x-5)²-4

now 1st we have to solve (x-5)² by using algebraic identify (a-b)²= a²+b²-2ab here a=x nd b = -5

(x-5)²
x²-10x+25

⇒y = -2(x²-10x+25)-4

distribution of 2 with bracket

⇒ y= -2x²+20x-50-4

⇒ y= -2x²+20x-54

Hence option A (-2x²+20x-54) is right ans.....

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$\red{ \underline{\underline{ \boxed{ \tt{✰ \: Option \: A \: ✓}}}}}$

Hope it helps !

zzz [600]2 years ago

4 0

Answer:

Step-by-step explanation:Quadratics

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2 years ago

Gloria is making a fruit punch. there are 15.75 ounces of orange juice in a container. Gloria pours 2.25 ounces of cranberry jui

lidiya [134]

Answer:

36 ounces

Step-by-step explanation:

1. Multiply the amount of cranberry juice Gloria pours into the container (2.25) by 9 seconds.

2.25 x 9

= 20.25

2. Add the amount of cranberry juice (20.25) to the amount of orange juice (15.75) to find how many ounces of fruit punch are in the container after 9 seconds.

20.25 + 15.75

= 36

Hope this helped :)

8 0

2 years ago

Graph f(x)= -(x-2)²+4<img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula

Mandarinka [93]

Answer: See the graph attached.

Step-by-step explanation:

The standard form of a quadratic function is:

$f(x)=a(x-h)+k$

Where (h,k) is the vertex of the parabola.

If $a$ is negative, then the parabola opens down.

Then, for the function:

$f(x)=-(x-2)^2+4$

You can identify:

$h=2\\k=4$

Then the vertex of the parabola is at (2,4)

Note that $a=-1$ , therefore the parabola opens down.

Find the intersection with the x-axis. Substitute $f(x)=0$ and solve for x:

$0=-(x-2)^2+4\\0=x^2-4x\\0=x(x-4)\\\\x_1=0\\x_2=4$

Knowing that the vertex is at (2,4), the parabola opens down and it intersects the x-axis at x=0 and x=4, you can graph the function, as you observe in the figure attached.