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Rzqust [24]
2 years ago
9

Diane needs a pice of paper whose length is 4 more inchs than width, and the area is as close as possible to 50 in^2. TO the nea

rst whole inch, what should the dimensions of he paper be.
This should be related to multiplying polynomials
*I will mark brainlist plz*
Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

Width = 5 inches

Length = 9 inches

Step-by-step explanation:

The paper;

Length = (x + 4) inches

Width = x inches

The area is close as possible to 50 square inches.

Since this paper is rectangular in shape; the area of a rectangle is given by:

Area = Length × Width

∴ (x + 4) * x = 50 square inches

x² + 4x = 50

Let the area be equal to 45 square inches;

Applying the quadratic formula, x = 5 or -9

But since we are dealing with length measurements, the value of x = 5 inches.

So the width = 5 inches and;

length = 5 + 4 = 9 inches.

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Answer:

Her solution is correct

(6-2)^2 + (8-3)^2

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=16 + 25

=41

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5. During an local election the ratio of teens to adults who voted was 10:8. If 1,764 people voted how many were teens?
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Answer:

288

Step-by-step explanation:

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Evaluate the expression when y = 6 and x = 9<br> x+7y<br> NEED it AS an EQUATION
prohojiy [21]

Answer:

Equation: 9+7(6)

Answer: 51

Step-by-step explanation:

9+7(6)

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Solve for x.<br><br> 4x+6&lt;-6
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3 years ago
For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum va
motikmotik

Answer:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Step-by-step explanation:

Given that the function is:

y=f(x)=-x^2+25

It is quadratic equation, therefore we can observe that it is a parabola.

The coefficient of x^{2} is negative, therefore it opens downwards.

That means <em>it will have a maximum value.</em>

This maximum value is at the vertex and where x = 0.

Also, vertex is at x intercept.

x intercept is the value of x where we have y = 0 and

y intercept is the value of y where we have x = 0

So, let us put y = 0 first.

0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5

Therefore x intercepts are at (5, 0) and (-5, 0)

Now, let us put x = 0,

y=0+25\\\Rightarrow y =25

Therefore y intercept is at (0, 25).

It is the point of maximum value (which is 25) and vertex of parabola as explained above.

Kindly refer to the attached image for the graph of given function.

Therefore, correct option is:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

4 0
3 years ago
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