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timofeeve [1]
3 years ago
13

Solve the systems of equation by graphing (Picture provided)

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

The option d

Step-by-step explanation:

find the intersection with x and y

https://tex.z-dn.net/?f=x%3D0%0A

https://tex.z-dn.net/?f=0%2By%3D-9%20%5Clongrightarrow%20y%3D-9%0A

and https://tex.z-dn.net/?f=y%3D0%0A

https://tex.z-dn.net/?f=x%2B0%3D-9

we get the coordinates

https://tex.z-dn.net/?f=(0%2C-9)%2C%20(-9%2C0)

and the same process for another equation

https://tex.z-dn.net/?f=4*(0)%2By%3D-19%20%5Clongrightarrow%20y%3D-19%5C%5C%0A4*x%2B0%3D-19%20%5Clongrightarrow%20x%3D%5Cfrac%7B-19%7D%7B4%7D%20%5C%5C%5C%5C%0A(0%2C-19)%2C%20(%5Cfrac%7B-19%7D%7B4%7D%2C0)%20

and these coordinates are those expressed in the d graph

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I'd appreciate it if anyone could help ASAP! :) I'll give Brainliest!
sergiy2304 [10]

We have been given a graph of function g(x) which is a transformation of the function f(x)=3^x

Now we have to find the equation of g(x)

Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.


First you should check the graph of f(x)=3^x

You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.

Now the given graph has asymptote at x=-2

which is just 2 unit down from the original asymptote x=0

so that means we need shift f(x), 2 unit down hence we get:

y=3^x


but that will disturb the y-intercept (0,1)

if we multiply 3^x by 3 again then the y-intercept will remain (0,1)

Hence final equation for g(x) will be:

g(x)=3(3^x)-2


5 0
3 years ago
Simplify the following and write your answer in simplest form
viktelen [127]
In simplest form it is 25 over 9
5 0
3 years ago
Convert 0.14 to a fraction
Svetradugi [14.3K]
0.14 in fraction form is 7/50
5 0
4 years ago
How many different ways can you choose 5 books from a shelf containing 12 books? Type a numerical answer in the space provided.
yanalaym [24]
There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
4 0
4 years ago
Solve the inequality and show your solution on a number line: 0.2x−2&lt;7−8x
Allisa [31]

Answer:

x< \frac{45}{41}  or x< 1.098

The graph in the attached figure

Step-by-step explanation:

we have

0.2x-2 < 7-8x

Solve for x

Adds 2 both sides

0.2x-2+2 < 7-8x+2

0.2x < 9-8x

Adds 8x both sides

0.2x+8x < 9-8x+8x

8.2x < 9

Divide by 8.2 both sides

x < 9/8.2

Remember that

8.2=82/10

substitute

x < 9/(82/10)

x< \frac{90}{82}

Simplify

x< \frac{45}{41}  or x< 1.098

The solution is the interval ------> (-∞, 45/41)

All real numbers less than 45/41

In a number line , the solution is the shaded area at left of x=45/41 (open circle)

The graph in the attached figure

7 0
3 years ago
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