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3 years ago

How many integer solutions are there to the equation x^3-5x^2+2x+13=5

2 answers:

7 0

Hello,

To find the solutions to this, you can either graph it on a graphing calculator or factor it.

If you factor it, first set it equal to 0 by subtracting 5 from both this.
The you can factor it to: (x - 2)(x - 4)(x + 1) = 0
Using the zero product rule, our solutions are 2, 4, and -1.

There are 3 integer solutions.

Good luck,
MrEQ

vagabundo [1.1K]3 years ago

6 0

Three possible solutions

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Does Emiliano need more than 1 stick of butter or less than 1 stick of butter for the corn bread and the apple muffins?

Nookie1986 [14]

Answer:

Emilio needs less than 1 stick of butter

Step-by-step explanation:

Emilio needs 1/2 stick of butter to make cornbread . He also needs 1/4 stick of butter to make apple muffins . Does Emilio need more than I stick of butter to make both recepes or less than 1 stick of butter ? How do you know?

Cornbread = 1/2 stick of butter

Apple muffins = 1/4 stick of butter

Total sticks of butter = cornbread + apple muffins

= 1/2 + 1/4

= (2+1) / 4

= 3/4 stick of butter

= 0.75 stick of butter

0.75 stick of butter is less than 1 stick of butter

Therefore,

Emilio needs less than 1 stick of butter

4 0

3 years ago

line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image

Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

$(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)$

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

$(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)$

$(0,-4)\rightarrow (0, 6)$

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6

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3 years ago

Kate made an 85 on her English test. Her grade on the English test was 37 points less than twice the grade on her Science test.

Irina18 [472]

The grade of her sci test was 61. First I add 37 to 85, the sum being 122. Then if you divide it in half, you get the quotien and final answer of 61

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3 years ago

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How to solve this equation and check it. a - 2.5 = 4.5?

Bezzdna [24]

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

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3 years ago

Write 5/6 as a decimal

Degger [83]

Answer:

0.83333333

Step-by-step explanation:

Is that what you wanted?

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