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lakkis [162]
3 years ago
14

X+y=5 x^y+y^x=17 solve for the value of y and x

Mathematics
1 answer:
pentagon [3]3 years ago
7 0
X = 2 
<span>y = 3 </span>

<span>2 + 3 = 5 </span>
<span>2³ + 3² = 17 </span>

<span>------------------- </span>

<span>BUT: </span>

<span>x + y = 5 </span>
<span>x^y + y^ x = 17 </span>

<span>y = 5 - x</span>
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Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up
katrin2010 [14]

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

V=98in^3

When folding up, we get the box without lip shown in the second figure. So the volume would be:

V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in

Since te cardboard is square, then the side (s) is given by:

s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

8 0
3 years ago
Read 2 more answers
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

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2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
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Svetradugi [14.3K]

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Step-by-step explanation:

3x - 2 Plug in 4 for x

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5(-2) + 6 = -10 + 6 = -4

8 0
4 years ago
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