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3 years ago

15

What is the LCD of

}" align="absmiddle" class="latex-formula"> and $\frac{7}{10}$

1 answer:

dezoksy [38]3 years ago

4 0

LCD of denominators.

Multiples of 5: 0, 5, 10, 15, 20, 25, ...

Multiples of 10: 0, 10, 20, 30, 40, ...

LCD(5, 10) = 10

$\dfrac{2}{5}=\dfrac{2\cdot2}{5\cdot2}=\dfrac{4}{10}$

$\dfrac{7}{10}=\dfrac{7}{10}$

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If f(x)=2^x-1 and g(x)= x^2-1, determine the value of (f o g)(3)

zimovet [89]

Answer: 4

Step-by-step explanation:

( f o g ) (3) means f(g(3)) so...

First: plug 3 into g(x) = x^ (2-1)

3^ (2-1) is 3^1 = 3

Next: plug 3 into f(x)= 2^(x-1)

2^(3-1) is 2^(2) > 2×2 = 4

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3 years ago

Find the x-intercepts of the parabola with vertex (1,1) and y-intercept (0,-3). Write your answer in this form (x of 1 , y of 1)

Vikki [24]

Remember that the vertex form of a parabola or quadratic equation is:

y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)

In this case we are given that the vertex is (1,1) so we have:

y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:

-3=a(0-1)^2+1

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-4=a so our complete equation in vertex form is:

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

Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so

0=-4(x-1)^2+1 add 4(x-1)^2 to both sides

4(x-1)^2=1 divide both sides by 4

(x-1)^2=1/4 take the square root of both sides

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x-1=±1/2 add 1 to both sides

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So x=0.5 and 1.5, thus the x-intercept points are:

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3 years ago

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Sidana [21]

I don't know if this answer is right but I think it would be 52

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4 years ago

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What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

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Scorpion4ik [409]

I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.

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