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zheka24 [161]
2 years ago
10

Solve the following systems b elemination show work and explain each step 3x + y = 13 4x - 3y = 13

Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

x = 4

y = 1

Step-by-step explanation:

Here, we want to solve the system of equation using elimination method

We have this as follows;

3x + y = 13

4x- 3y = 13

Multiply equation 1 by 3

9x + 3y = 39

4x-3y = 13

Add the two equations

13x = 52

x = 52/13

x = 4

From equation 1;

3x + y = 13

y = 13-3x

y = 13-3(4)

y = 13-12 = 1

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What type of conic section is the following equation? x2 + (y - 5)2 = 12 parabola circle hyperbola ellipse
chubhunter [2.5K]

Answer: Circle

Step-by-step explanation:

It is a circle.

Center: (0,5)

r= √12 =2√3

7 0
3 years ago
What expression can be used to find the total discount? Select all that apply. 0.3*42 or 3/10*42 or 0.03*42 or 3 *4.2
ehidna [41]

0.3*42   this gives you a 30% discount

3/10*42  this gives you a 30% discount

0.03*42 this gives you a 3% discount

3 *4.2  This is not a  discount

6 0
3 years ago
←
maw [93]

The equation that is represented by the graph below is y = e^x - 4.

<h3>How to illustrate the graph?</h3>

From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.

Let's equate y to 0.

y = e^x - 4.

e^x - 4 = 0

e^x = 4

In(e^x) = In(4)

x = 1.386

The x intercept is located at (1.386, 0).

In conclusion, the correct option is D.

Learn more about graph on:

brainly.com/question/12886416

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3 0
2 years ago
Craig solicited donations for his school's jump-rope a-thon. He collected $13.00 in fixed donations and pledges totaling $1.50 f
charle [14.2K]

Answer:

25

Step-by-step explanation:

13+1.50m

13+1.50(8)

13+12

25

8 0
2 years ago
Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (1,-7) and has (2,- 4) as its vertex. What i
Anettt [7]
The coordinates of the vertex are (h,k)  so we can write:-
 f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-

-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3

so the vertex formula is 
f(x) = -3(x - 2)^2 - 4

standard form:-

f(x) = -3(x^2 - 4x + 4)  - 4
       = -3x^2 + 12x - 16
5 0
3 years ago
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