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konstantin123 [22]
3 years ago
12

I will give crown for answer

Mathematics
1 answer:
Romashka [77]3 years ago
6 0
31 cups because 38 cups fit into 9 1/2 quarts so subtract 7 from 38 you get 31
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Evaluate the expression. <br><br> 8^7/8^7
Karo-lina-s [1.5K]

The expression is equal to one. Because a number over the same number is equal to one. I think that is the answer.

Hope this helps!

3 0
3 years ago
Everytime Evan walks his neighbors. He gets $8 and he has four or five times and there's a video game
Mariulka [41]
So what’s the question
8 0
3 years ago
Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

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

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
In the third degree polynomial function f(x) =x^3 + 4x, why are 2i and -2i zeros?
IgorC [24]

Answer:

We just need to evaluate and get f(2i)=0, f(-2i)=0.

Step-by-step explanation:

Since i^2=-1, then i^3=i^2i=-i, and we can apply this when we evaluate f(x) =x^3 + 4x for 2i and -2i.

First we have:

f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0

Which shows that 2i is a zero of f(x).

Then we have:

f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0

Which shows that -2i is a zero of f(x).

4 0
3 years ago
Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i
vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

8 0
3 years ago
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