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2 years ago

Re-write the quadratic function below in Standard Form y= –2(x + 5)(x – 4)

Mathematics

1 answer:

Naddik [55]2 years ago

6 0

Answer:

y = - 2x² - 2x + 40

Step-by-step explanation:

Standard form of a quadratic is y = ax² + bx + c : a ≠ 0

Given

y = - 2(x + 5)(x - 4) ← expand factors using FOIL

= - 2(x² - 4x + 5x - 20)

= - 2(x² + x - 20) ← distribute parenthesis by - 2

= - 2x² - 2x + 40 ← in standard form

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The graph shows the amount of money paid when purchasing bags of candy at the zoo:

Fofino [41]

Answer:

i think its $2

Step-by-step explanation:

because 1,2 could mean 1 bag = $2,

2,4 could mean 2 bags = $4, and so on.

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2 years ago

Read 2 more answers

Can some one PLS help me with this problem it will be great x+5<-4

lubasha [3.4K]

Answer:

The answer is x<-9

Step-by-step explanation:

x+5<-4

You move it to the right and you change the sign

This is what I mean: x<-4-5

Then you Calculate the Difference

So it will be: x<-9 which is your answer

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3 years ago

One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

3 years ago

A bicycle wheel has a diameter of 63centermeter.the wheel.during a journey the wheel makes a 510revolation turn.how many meter d

olga55 [171]

63 × 510 = 32130

anything to ask please pm me

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2 years ago

Essential: Solve the proportions step by step

vazorg [7]

Answer:

The value of r= $\frac{-106}{47}$

The value of x= $\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r= $\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x= $\frac{83}{32}$

6 0

3 years ago