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3 years ago

Find the equation of the line, given the following information:

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer: y = 2x-2

IF YOU NEED A CLEARER EXPLANATION, PLEASE LET ME KNOW

Step-by-step explanation:

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If 2x^2+5x-12 = (2x-3)(x+4), which equation(s) should be solved to find the roots of 2x^2+5x-12=0? Check all that apply.

Fynjy0 [20]

ANSWER

2x-3=0

and

x+4=0

EXPLANATION

Given that:

$2 {x}^{2} + 5x - 12 = (2x - 3)(x + 4)$

Then to find roots of

$2 {x}^{2} + 5x - 12 = 0$

is the same as finding the roots of

$(2x - 3)(x + 4) = 0$

By the zero product property, we must have either,

$2x - 3 = 0 \: or \: x + 4 = 0$

Hence the equations that must be solved to find the roots are:

2x-3=0

and

x+4=0

5 0

3 years ago

Read 2 more answers

A laundry basket has 24-shirts in it. Four are navy, 12 are red, and the remaining are white. What is the probability of not sel

Ilya [14]

Answer:

The fraction white is one third.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector

babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0

3 years ago

Solve for the difference `7.2-3.67`

storchak [24]

The correct answer is 3.53

7 0

2 years ago