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astraxan [27]
2 years ago
15

What is the answer to 3/4 / 1/8?

Mathematics
2 answers:
Semmy [17]2 years ago
7 0

Answer:

6/8

Step-by-step explanation:

3/4 multiply 1/8 but you need the same demonator

so then you have the same demonator you need to multiply and that will be 6/ 8

Nataly [62]2 years ago
4 0

Answer:

6

Step-by-step explanation:

\frac{3}{4}  \div  \frac{1}{8}  \\  =  \frac{3}{4}  \times 8 \\  = 3 \times 2 \\  = 6

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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
Are these fractions equivalent or nonequivalent?<br> 4x/7y 8x/14y
ivann1987 [24]

Answer:

\frac{8x}{14y}  =  \frac{ \frac{8x}{2} }{ \frac{14y}{2} }  =  \frac{4x}{7y}  \\

Hence, they are equivalent.

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20-%203" id="TexFormula1" title=" \frac{1}{5} - 3" alt=" \frac{1}
denis-greek [22]
-14/5 , -2.8 and yeah
3 0
3 years ago
The ratio of fiction to nonfiction books in the library is 4:5. If there are 900 books in a collection, how many are fiction?
jekas [21]
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
4 0
2 years ago
What is the slope of the line passing through the points (–1, 3) and (4, –7)?
Nataliya [291]
Slope=rise/run
slope=(y2-y1)/(x2-x1) if you have the points
(x1,y1) and (x2,y2)

we have the points (-1,3) and (4,-7) 
x1=-1
y1=3
x2=4
y2=-7

slope=(-7-3)/(4-(-1))=-10/5=-2

answer is D
6 0
3 years ago
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