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makkiz [27]
3 years ago
11

Solve this system of equations. 3x + 4y = 36 y = 1/2x+8

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

Step-by-step explanation:

3x + 4(1/2x + 8) = 36

3x + 2x + 32 = 36

5x + 32 = 36

5x = 4

x = 4/5

y = 1/2(4/5) + 8

y = 4/10 + 80/10

y = 84/10 = 42/5

(42/5, 4/5)

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Graph y &gt; -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex
ad-work [718]

Explanation:

The function is y>-\frac{1}{3} x+5

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function y>-\frac{1}{3} x+5

\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}

Thus, the x-intercept is (15,0)

To find the y-intercept, let us substitute x=0, we get,

\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}

Thus, the y-intercept is (0,5)

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function y>-\frac{1}{3} x+5, to find the y-values.

The points are (-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4). The image of the graph and table is attached below:

6 0
3 years ago
Help me with my math!
joja [24]
23 is negative correlation
6 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPP
rodikova [14]
For question 22, divide each number by 1.41 to see which one produces a quotient larger than 0.9. d is the answer.
For #23, multiple 0.155 million by 86%, the result is 133,300
again, d is the correct answer. 
7 0
3 years ago
5у - 10 = -25<br><br> Solve<br><br> What is y
8090 [49]

Answer:

y= -3                         Your Welcome tell me if you got it right

Step-by-step explanation:

7 0
3 years ago
I need help on this
Alisiya [41]
2. rhombus

3. rectangle

4. parallelogram 

5.trapezoid

6.quadrilateral


6 0
3 years ago
Read 2 more answers
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