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blondinia [14]
3 years ago
8

Could someone please explain! I cant figure it out.

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

2^-2 = 1/2^2

so: (1/2^2)*(12*3)-5^3

simplify: (1/4)*36-125

36*(1/4) = 36/4 so: 9-125

subtract: -116

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Describe the pattern below. Then find the next three numbers. 3.5, 13, 41.5, 127, ___, ___, ___
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Yo it is easy 99 33 44 66 89
8 0
3 years ago
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HELP PLEASE!!! <br>the question and answer are in the image attached​
RideAnS [48]

Answer:

g(x)=\sqrt[3]{x-3}+4

Step-by-step explanation:

The function g(x) is a shifted version of the function f(x); f(x) is shifted by 3 along x-axis and by 4 along y-axis.

Another way of thinking about this is that the function g(x) contains points (3, 4); therefore,

g(x)=\sqrt[3]{x-3}+4

which goes through the point (3, 4).

8 0
3 years ago
Find the value of x in the triangle shown below.<br> 4<br> 5<br> Choose 1 answer
nikitadnepr [17]

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

4 0
3 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Given g(x)= -2x+2 and f(x)= 3x^2+4, find (g+f)(-3)
aliina [53]

Answer:

39

Step-by-step explanation:

g(x)= -2x+2 and f(x)= 3x^2+4

(g+f)(-3)

g(-3) = -2(-3) +2 = 6+2 =8

f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31

(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39

3 0
3 years ago
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