Answer: No
Step-by-step explanation:
Answer:
25x³ + 13x² + 12x + 3
Step-by-step explanation:
(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)
3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3
25x³ + 3x² + 10x² + 5x + 7x + 6 - 3
25x³ + 13x² + 12x + 3
Answer: Cost of DVD is $2.95 and cost of games is $3.2.
Step-by-step explanation:
Let the cost of DVD be x
Let the cost of games be y
So, According to question,
![2x+3y=\$15.50\\\\and\\\\3x+1y=\$12.05](https://tex.z-dn.net/?f=2x%2B3y%3D%5C%2415.50%5C%5C%5C%5Cand%5C%5C%5C%5C3x%2B1y%3D%5C%2412.05)
Now, we will apply " Substitution Method " i.e.,
![2x=15.50-3y\\\\x=\frac{15.5-3y}{2}](https://tex.z-dn.net/?f=2x%3D15.50-3y%5C%5C%5C%5Cx%3D%5Cfrac%7B15.5-3y%7D%7B2%7D)
Put this value of x in second equation:
![3x+y=12.05\\\\3\times \frac{15.5-3y}{2}+y=12.05\\\\46.5-9y+2y=12.05\times 2\\\\46.5-7y=24.1\\\\46.5-24.1=7y\\\\22.4=7y\\\\\frac{22.4}{7}=y\\\\3.2=y](https://tex.z-dn.net/?f=3x%2By%3D12.05%5C%5C%5C%5C3%5Ctimes%20%5Cfrac%7B15.5-3y%7D%7B2%7D%2By%3D12.05%5C%5C%5C%5C46.5-9y%2B2y%3D12.05%5Ctimes%202%5C%5C%5C%5C46.5-7y%3D24.1%5C%5C%5C%5C46.5-24.1%3D7y%5C%5C%5C%5C22.4%3D7y%5C%5C%5C%5C%5Cfrac%7B22.4%7D%7B7%7D%3Dy%5C%5C%5C%5C3.2%3Dy)
Now, substitute the value of y in equation of x:
![x=\frac{15.5-3y}{2}\\\\x=\frac{15.5-3\times3.2}{2}\\\\x=\frac{15.5-9.6}{2}\\\\x=\frac{5.9}{2}\\\\x=2.95](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B15.5-3y%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B15.5-3%5Ctimes3.2%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B15.5-9.6%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B5.9%7D%7B2%7D%5C%5C%5C%5Cx%3D2.95)
Hence, Cost of DVD is $2.95 and cost of games is $3.2.
The slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
<h3>Slope of a line</h3>
From the question, we are to determine the slope of the line in the diagram
Using the formula,
m = (y₂ - y₁)/(x₂ - x₁)
Where m is the slope
To determine the slope of the line, we will pick two points on the line.
Using the points (1, 0) and (0, -5).
Thus,
x₁ = 1
y₁ = 0
x₂ = 0
y₂ = -5
Putting the values into the equation
m = (y₂ - y₁)/(x₂ - x₁)
m = (-5 - 0)/(0 - 1)
m = -5/ -1
m = 5
Hence, the slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
Learn more on Slope of a line here: brainly.com/question/1884491
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