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lozanna [386]
1 year ago
8

Write an equation of the line with a slope of 7 and y-intercept of 2. y =​

Mathematics
1 answer:
scZoUnD [109]1 year ago
8 0

Answer:

Y = 7X + 2

Step-by-step explanation:

Y = mx + b .... slope intercept form of a line.

m - Slope

b = Y - intercept.

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What is the remainder when 6x^4-3x^5+2x^3+x-3 is divided by x+1
Svetlanka [38]

The remainder is 3 when we need to divide 6x^4-3x^5+2x^3+x-3\,\,by \,\,x+1

Step-by-step explanation:

We need to divide 6x^4-3x^5+2x^3+x-3\,\,by \,\,x+1 and find the remainder

Dividing:

The division is shown in figure below:

The quotient is:-3x^4+9x^3-7x^2+7x-6

The remainder is: 3

So, The remainder is 3 when we need to divide 6x^4-3x^5+2x^3+x-3\,\,by \,\,x+1

Keywords: Division of Polynomials

Learn more about Division of Polynomials at:

  • brainly.com/question/629998
  • brainly.com/question/4528757
  • brainly.com/question/5022643

#learnwithBrainly

5 0
3 years ago
How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution
Elza [17]
Whatever% of anything is just (whatever/100) * anything.

x = ounces of 14% iodine.

y = ounces of 29% iodine.

we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that?  (14/100) * x, or 0.14x.

likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.

and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.

bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.

\bf \begin{array}{lccclll}
&\stackrel{ounces}{amount}&\stackrel{\%~of~iodine}{quantity}&\stackrel{iodine~oz}{amount}\\
&------&------&------\\
\textit{14\% solution}&x&0.14&0.14x\\
\textit{47\% solution}&89&0.47&41.83\\
------&------&------&------\\
mixture&y&0.29&0.29y
\end{array}
\\\\\\
\begin{cases}
x+89=\boxed{y}\\
0.14x+41.83=0.29y\\
--------------\\
0.14x+41.83=0.29\left( \boxed{x+89} \right)
\end{cases}
\\\\\\
0.14x+41.83=0.29x+25.81\implies 16.02=0.15x
\\\\\\
\cfrac{16.02}{0.15}=x\implies 106.8=x
6 0
3 years ago
To solve the equation below by completing the square, what is your first step?<br> 3x^2+18x=21
Margarita [4]

Answer:

Multiply both sides of the equation by 1/3

Step-by-step explanation:

3x^2+18x=21

The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation

This is the same as multiplying by 1/3

1/3 * (3x^2+18x)=21*1/3

x^2 +6x = 7

6 0
3 years ago
If the transformation was a rotation, tiffany can or cannot be certain the trapezoids are congruent?
soldi70 [24.7K]

Answer: Tiffany can be certain the trapezoids are congruent.

Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.

A figure can go thorugh 3 types of transformations:

  • <em>Rotation</em>: the figure is turned around a fixed point;
  • <em>Reflection</em>: is created by fliping over the figure over a line;
  • <em>Translation</em>: move the figure to another location, without changing its size;

As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.

When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.

5 0
2 years ago
Height = 5cm<br> Base = 12cm
stepladder [879]
The answer would be 60 because you do based times height which equals the area
4 0
2 years ago
Read 2 more answers
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