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sweet [91]
1 year ago
7

1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8

Mathematics
1 answer:
leonid [27]1 year ago
3 0

Multiply the binomials:



(3x + 4)(5x - 2)

\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}

Final answer

Option B is the final answer

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The formula of density is mass / volume.
So, the volume is equal to the area of the cube by the total height, so the area of the cube is 3x3= 9, and this result multiplied by the height, 9x3 = 27.
Following the formula of density, we have 216 g / 27 cm^3, the result is 8 g/cm^3.
Hope you undestand my procedure XD
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B. The x-intercept represents the number of miles the car has traveled.

C. The y-intercept represents the number of gas in gallons.

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Which are like terms to the term 2x.
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3 years ago
Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: -4\frac{1}{2}. Substitute -4\frac{1}{2} for x and 10 for y in the equation, then solve:  

y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10

10 does equal 10, so this is a true statement. Option C is the right answer.

8 0
2 years ago
Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.
uysha [10]

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Step-by-step explanation:

The form of the point-slope equation is y-y_{1}=m(x-x_{1}) , where

  • m is the lope of the line
  • (x_{1},y_{1}) is a point lies on the line

The slope of a line m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

(x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ x_{1} = 2 and x_{2} = 7

∴ y_{1} = 3 and y_{2} = 4

- Substitute these value in the rule of the slope

∵ m=\frac{4-3}{7-2}=\frac{1}{5}

∴ the slope of the line is m=\frac{1}{5}

Let us substitute the value of the slope and the coordinates of point (x_{1},y_{1}) in the form of the equation

∵ y-y_{1}=m(x-x_{1})

∵ x_{1} = 2 and y_{1} = 3

∵ m=\frac{1}{5}

∴ y-3=\frac{1}{5}(x-2)

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0
3 years ago
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