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Jakob simplified the expression as shown.

Flauer [41]

Answer:

He simplified the x coefficients incorrectly

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

Step-by-step explanation:

$2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\$

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

3 0

3 years ago

16 plus 5 times a number is more than the number minus 8. Write an inequality and solve it

Radda [10]

n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8

Solution:

Given statement is:

16 plus 5 times a number is more than the number minus 8

We have to write a inequality

From given statement,

16 plus 5 times a number is more than the number minus 8

Let the number be "n"

Therefore,

16 plus 5 times "n" is more than "n" minus 8

Here, "plus" means addition and "minus" means subtraction and "times" means multiplication

Thus the statement is translated into inequality as:

$16 + 5n >n-8$

Simplify the inequality

$16 + 5n >n-8\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\\\16 + 5n -16 > n - 8 -16\\\\5n >n-24\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\5n-n>n-24-n\\\\\mathrm{Simplify}\\\\4n>-24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4n}{4}>\frac{-24}{4}\\\\n>-6$

Thus the soultion is n > -6

8 0

3 years ago

Divide:5.52 x 1031.2 x 105Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 x 104

IrinaK [193]

The question can be solved as follows:

$\frac{5.52\times10^3}{1.2\times10^5}=\frac{5.52}{1.2}\times10^{-2}=4.6\times10^{-2}$

Hence the value of the given expression in scientific notation is expressed as:

$\frac{5.52\times10^3}{1.2\times10^5}=4.6\times10^{-2}$

8 0

1 year ago

Interior and Exterior Triangle Angles please help asap !!!!

Fiesta28 [93]

Answer:

∠ WUV = 36°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VWX is an exterior angle of the triangle, thus

8x - 18 = 2x + 8 + 3x + 16

8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°

8 0

2 years ago