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3 years ago

Simplify by combining like terms -17+2(6x-1)+5

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

12x -14

Step-by-step explanation:

-17+2(6x-1)+5

Distribute the 2

-17 +2*6x -2*1 +5

Simplify

-17 +12x -2 +5

Combine like terms

12x -17-2+5

12x -14

earnstyle [38]3 years ago

5 0

$\huge\boxed{12x-14}$

Start with the original expression.

$-17+2(6x-1)+5$

Use the Distributive Property — multiply $2$ by both $6x$ and $-1$ .

$-17+12x-2+5$

Combine the like terms — add up all the constants.

$-14+12x$

Reorder the terms.

$\large\boxed{12x-14}$

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melamori03 [73]

The probability that more than 5 students will pass their exam is 0.0188416.

<h3>How to find the probability?</h3>

The probability that a student passes their examination = 40% = 0.4

The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam

The probability that 6 students pass their exam =

$7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032$

The probability that 7 students pass their exam =

$7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384$

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2 years ago

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Step-by-step explanation:

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3 years ago

What is 41 3/4 simplified ?

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

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3 years ago

Solve the following system of equations by graphing and select the correct answer below:

JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute $y=0$ into the equation and solve for "x".

To find the y-intercept, substitute $x=0$ into the equation and solve for "y".

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x-intercept

$4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25$

y-intercept

$4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66$

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

$2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5$

y-intercept

$2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33$

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

$x=5\\y=3$

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3 years ago

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