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barxatty [35]
3 years ago
7

Use the properties of rational exponents to simplify the expression.

Mathematics
1 answer:
jeyben [28]3 years ago
8 0
The top is 256 and the bottom is 55.
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21. What must be added to -9 to have a sum of 20?
Inga [223]

Answer:

21C

22D

23B

24C

25A

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is 3/5 divided by 2 1/2 by the lowest quotient
Brilliant_brown [7]

Answer:

<h2>\frac{6}{25}</h2>

Step-by-step explanation:

<h3>\frac{3}{5} ÷ \frac{5}{2} = \frac{3}{5} ÷ \frac{2}{5} = \frac{6}{25}</h3>
7 0
3 years ago
Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
Subtract the mixed numbers
Lisa [10]

Answer:  4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3

8 0
2 years ago
Read 2 more answers
Please answer!<br> (1) what mistake was made?<br> (2) what suggestion could help avoid that?
AveGali [126]

Answer:

1) the signs of the numbers is not in standard form

2) always make sure that the signs of the two equations is standarised and then solve

please follow me

3 0
3 years ago
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