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3 years ago

The absolute value of opposite numbers is the same? True or False? Why or Why not

Mathematics

1 answer:

NeTakaya3 years ago

8 0

Answer:

false, it's the opposite so its doesn't have the same amount, negative or positive.

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

Read 2 more answers

Given the following kite find:

uysha [10]

Answer:

Step-by-step explanation:

90+13x+1+28x+7=180

98+41x=180

41x=82

x=2

Plugging in the value of x, we get:

28x+7=28(2)+7=56+7=63

6 0

3 years ago

Identify the factors in the expression 6 (×+5)

Setler [38]

The factors are 6 and x + 5

5 0

3 years ago

given the following functions f(x) and g(x), solve (f g)(3) and select the correct answer below: f(x) = 6x 3 g(x) = x − 7 4 17 2

NeTakaya

Hello,
+++++++++++++++++++++++++++++++++++++++++
Thanks for the incorrect formula!
+++++++++++++++++++++++++++++++++++++++++
I have tested (fog)(x) ,(f*g)(x) and finally (f+g)(x)

f(x)=6x++++++++++++++++++++++++3
g(x)=x-7
(f+g)(x)=6x+3+x-7=7x-4
(f+g)(3)=7*3-4=17

Answer B
++++++++++++++++++++++++++++++++++++

3 0

3 years ago

What is the perimeter of a square with a 13ft side

Dafna1 [17]

Perimeter = 2L + 2W
since it’s a square, all sides are equal so
perimeter = 4s
s = 13
so multiply 13 by 4
perimeter = 13*4 = 52

6 0

4 years ago

Read 2 more answers