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creativ13 [48]
3 years ago
11

HELPPP 15 points please please

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer: ASA

Step-by-step explanation:

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A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the
pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

  • Substitute c=-9a-3b-17

-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

  • Isolate a for the first equation

-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}

  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
4 years ago
Decimal Division Use the model to complete the number sentence. 1.62÷0.27=?<br>​
Furkat [3]

Answer:

It 6

Step-by-step explanation:

5 0
2 years ago
If f(×) = 3x + 7, which of these is the inverse of f(x)?​
Snowcat [4.5K]

Answer:

First equate 3x + 7 to any unknown

3x + 7 = P

Then make x the subject of the formula

3x + 7 = P

3x + 7-7= P-7

3x = P-7

3x ÷ 3 = (P-7) ÷ 3

x = (P-7) ÷3

Then interchange x with the unknown which I have as P

x = (P-7) ÷ 3

P = (x-7) ÷ 3

Then inverse of f(x)

is;

f-1(x) = (x-7) ÷ 3

Thank you.

BY GERALD GREAT.

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3 years ago
How do you write three hundred thousand five thousand sixty three in standard form
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300,563 Hope it helps! ^^

~Ash~
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4 years ago
True or false "No rectangle is a rhombus?"
alukav5142 [94]
False.
Rhombuses may be rectangles<span>, as long as the shape is a square. </span><span>Every square is a </span>rhombus <span>if all its angles equal 90 degrees.</span>
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