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4 years ago

EASY 50 POINTS. PLEASE HELP!!!

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

4 0

Answer:

y= (x+5)^2 +7

Step-by-step explanation:

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the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0. What is the value of q?the equation -2x^2+3=-9x is rewritte

Novosadov [1.4K]

Value of q is $\frac{105}{8}$ .

<u>Step-by-step explanation:</u>

We have , the equation $-2x^2+3=-9x$ is rewritten in the form of $-2(x-p)^2 +q=0$ . We need to find What is the value of q . Let's find out:

Let's simplify equation $-2x^2+3=-9x$ into $-2(x-p)^2 +q=0$ :

⇒ $-2x^2+3=-9x$

⇒ $-2x^2+9x+3=0$

⇒ $2x^2-9x=3$

⇒ $2(x^2-\frac{9}{2}x)=3$

⇒ $(x^2-\frac{9}{2}x)=\frac{3}{2}$

⇒ $(x^2-2(1)\frac{9}{4}x)=\frac{3}{2}$

⇒ $(x^2-2(1)\frac{9}{4}x) + (\frac{9}{4})^2=\frac{3}{2} + (\frac{9}{4})^2$

⇒ $(x-\frac{9}{4})^2=\frac{3}{2} + (\frac{81}{16})$

⇒ $(x-\frac{9}{4})^2=\frac{24}{16} + (\frac{81}{16})$

⇒ $(x-\frac{9}{4})^2=\frac{105}{16}$

⇒ $-2(x-\frac{9}{4})^2=-2(\frac{105}{16})$

⇒ $-2(x-\frac{9}{4})^2=-\frac{105}{8}$

⇒ $-2(x-\frac{9}{4})^2+\frac{105}{8} = 0$

Comparing this equation to $-2(x-p)^2 +q=0$ , $q =\frac{105}{8}$ .

Therefore ,Value of q is $\frac{105}{8}$ .

8 0

3 years ago

Lucy is waiting for the liquid to boil in the pot. At which temperature should the liquid boil in the pot?

Alja [10]

Water boils at 212 degrees Fahrenheit (100 degrees celcius)

8 0

3 years ago

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Y = -3x + 3<br> -3x - y = -6

aliya0001 [1]

Answer:

let it be equation 1 and 2

Step-by-step explanation:

-3x -(-3x+3) =-6

-3x +3x -3= -6

0x = -3

x = 0

y = -3(0) +3

y = 3

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3 years ago

PLS AWNSER IM TAKING A TIMED TEST!!!

ANEK [815]

The last one which is D

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3 years ago

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Xavier can swim at a constant speed of 5/3 meters/second. He is trying to qualify for the N ational Swim Meet. To qualify, he mu

77julia77 [94]

Answer:

Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs

Step-by-step explanation:

Here, we want to know if Xavier will be able to qualify or not

His constant speed is 5/3 m/s

Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s

So now, we need to know the bigger fraction between the two

Mathematically, that will be

5/3 - 20/11 = (55-60)/11 = -5/11

As we can see, the required speed is greater than what he can run

So this means that he will not be able to qualify

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3 years ago