Solve for x:
3x^2-5x=2

Answers

Answer 1

Answer: $3{ x }^( 2 )-5x=2\n \n 3{ x }^( 2 )-5x-2=0\n \n \left( 3x+1 \right) \left( x-2 \right) =0\n \n \therefore \quad x=2\n \n \therefore \quad x=-\frac { 1 }{ 3 }$

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Definition of mean, median, mode & range?

If EG=10x+20, FG=43. EG=183, find the value of x.

Answers

Answer:

Option (3)

Step-by-step explanation:

Given: EF = 10x + 20

FG = 43

EG = 183

From the figure attached,

Length of segment EF + length of segment FG = length of segment EG

By substituting the values of each segment in the equation,

(10x + 20) + 43 = 183

10x + 20 = 183 - 43

10x = 140 - 20

x = $(120)/(10)$

x = 12

Therefore, x = 12 will be the answer.

Option (3) will be the correct option.

Whosever answers first gets marked brainliest!

Answers

Answer:

Step-by-step explanation:

$5.85 / 13 cans = $0.45/can

$9.45 / 21 cans = $0.45/can

13 cans for $5.85 = 21 cans for $9.45

The ratios are equal.

Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?a.54.00 in2B)113.10 in2C)169.65 in2D)339.29 in2

Answers

The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is $AL= ( \beta )/(360) *2 \pi r$ . Notice the "2*pi*r" which is the circumference formula. The area of a sector is $A s= ( \beta )/(360) * \pi r ^(2)$ . Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly, $6 \pi = ( \beta )/(360) *2 \pi (18)$ . Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly, $A_(s) = (60)/(360) * \pi (18) ^(2)$ , and $A_(s) =54 \pi$ . When you multiply in the value of pi, you get that your area is 169.65 in squared.

What is 3 3/2 equal to ?
A . 3 sqrt 9
B . 2 sqrt 9
C.3 sqrt 27
D. 2 sqrt 27

Answers

The correct question will be 3^(3/2) , in words 3 power 3/2
3^(1+1/2)= (3^3)^(1/2)
= 27^(1/2)
so, sqrt 27 is correct answer

Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].

f[c(p)] = 1.83p
f[c(p)] = 1.83cp
f[c(p)] = 0.81p
f[c(p)] = 0.81cp

Answers

Answer: $f[c(p)]=0.81p$

Step-by-step explanation:

Given: Ray is purchasing a laptop that is on sale for 25% off.

The function that represents the sale price of his laptop :

$c(p) = 0.75p$ , where p is the original price of the laptop.

The price function of the laptop with tax :

$f(c) = 1.08c$ , where c is the sale price of the laptop.

Now, consider the composite function that can be used to calculate the final price of Ray's laptop .

$\text{ i.e. }f[c(p)]=f[0.75p]\n\n\Rightarrow f[c(p)]=1.08(0.75p)\n\n\Rightarrow f[c(p)]=0.81p$

c(p) = 0.75p where p is the original price of the laptop
f(c) = 1.08c where c is the sales price of the laptop

the composite function is:

f(c(p)) = 1.08(0.75p)
f(c(p)) = 0.81p

What is the equation of a line that goes through the point (4, 2) and is parallel to the line given by the equation y = 2x + 6?y = 4x - 6
y = -2x + 6
y = 2x - 6
y = -2x - 6