What is the simplified form of (3s^2-2s+1)/(s^2-s+2)?
a. 3s+1
b. 3s+7
c. 3+s-5/s^2-s-2
d. 3+ s+7/s^2-s-2

Step-by-step explanation:

[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]

-( 28 - 6x ) = x² - 12x + 36

x² - 18x + 64 = 0

√∆ = √( 324 -256)= √68 = 2√17

x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓

9-√17 is not acceptable because the radical answer can not be negative.

Answer:

2m²-6m

Step-by-step explanation:

First simplify the numerator.

Then cancel the common factor of m+3 and use distributive property.

Multiply m by m and lastly multiply -3 by 2.

The numbers of large bowl sold at the fair is 20

Data;

To solve this problem, we need to write system of equations for this.

Let x represent the numbers of small ceramic bowl

let y represent the numbers of large ceramic bowl

[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]

From equation (i), let's make x the subject of formula

[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]

Let's substitute equation (iii) into equation (ii)

[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]

The numbers of large bowl sold at the fair is 20

Learn more on system of equations here;

https://brainly.com/question/18841812

Answer:

a)

[tex]y=-\dfrac17x^2+2x+10[/tex]

[tex]y=2x+3[/tex]

b)  Equate the equations and solve for x:

[tex]-\dfrac17x^2+2x+10=2x+3[/tex]

[tex]\implies -\dfrac17x^2+2x-2x=3-10[/tex]

[tex]\implies -\dfrac17x^2=-7[/tex]

[tex]\implies x^2=49[/tex]

[tex]\implies x=\pm\sqrt{49}[/tex]

[tex]\implies x=7[/tex] (as time is positive)

The same number of people were rock climbing and zip-lining on day 7.

c) Substitute [tex]x = 7[/tex] into [tex]y = 2x + 3[/tex] and solve for y:

[tex]\implies 2(7)+3=17[/tex]

Therefore, 17 people were participating in each activity on day 7.

Answer:

The same number of people were rock climbing and zip-lining on day 7.

c) Substitute  into  and solve for y:

Therefore, 17 people were participating in each activity on day 7.

Step-by-step explanation:

Answer:

The answer is D: sin 11pi/6

<3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

her pay increases by 30$ each hour she work

Step-by-step explanation:

hope it helps

Answer:

10 is the answer

Step-by-step explanation:

thank me layer

Answer:

10

Step-by-step explanation:

The square root is the opposite of squared. 10²=10x10=100. There is no method of squarooting something. The only method would be calculator or memorizing perfect squares.

Answer:

Step-by-step explanation:

Well I can't really draw the square, but.
If the the squares perimeter is 20, and all sides on a square are the same, and there are 4 sides.
Do 20/4 which = 5 inches.
Then area is length x width,
So 5x5 which equals 25 inches.

Answer:17

Step-by-step explanation:

I just did it and got it write 15/8=17

Answer:

B

Step-by-step explanation:

Answer:

x=

29

12

​

≈0.413793103

y=

29

20

​

≈0.689655172

Answer:

  see attached

Step-by-step explanation:

Each grid is divided into units by the dark vertical lines, and into fractions of the last unit by the lighter vertical lines. The left-side figure, for example, shows 3 units, the last of which is divided into fourths (1/4s).

The lighter horizontal lines divide the vertical space into fractions. The left side figure has horizontal lines dividing the vertical space into tenths (1/10s).

Overall, each grid represents multiplication of a mixed number by a fraction.

__

The left-side figure has coloring horizontally covering two full units and 3/4 of the last unit. The coloring vertically occupies 3 of the 10 spaces, Overall, the figure represents multiplication of 2 3/4 by 3/10. That matches the solution required for the question about July rainfall (bottom word problem).

__

The top right figure has coloring horizontally that covers two full units and 2/3 of the last unit. The coloring vertically occupies 2 of the 3 spaces. Overall, the figure represents multiplication of 2 2/3 by 2/3. That matches the solution required for the question about mat area (top word problem).

__

The bottom right figure has coloring horizontally that covers three full units and 1/5 of the last unit. The coloring vertically occupies 1 of the 4 spaces. Overall, the figure represents multiplication of 3 1/5 by 1/4. That matches the solution required for the question about the weight of carrots (middle word problem).

_____

Additional comment

Perhaps the confusing part is that the answer to the question, as represented by the shaded area, is not easy to determine from the figure.

The left-side figure, for example, has a blue shaded area that totals 6/10, and an orange shaded area that totals 9/40. The answer to the question posed is then 6/10 +9/40. The diagram offers no help in figuring the value of that sum, hence the answer to the question.

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

Step 2: Add 2 to both sides.

Step 3: Divide both sides by 2.

Step 4: Check if solution is correct.

Therefore, x = 8.

Answer:

x=8

Step-by-step explanation:

7x-2=5x+14

collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)

7x-5x=14+2

2x=16

divides both sides by the value of x

x=16/2

x=8

Answer:

x² + (y - 2)² = 41

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

The distance from the centre to a point on the circle is the radius r

calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )

r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]

  = [tex]\sqrt{5^2+(-4)^2}[/tex]

  = [tex]\sqrt{25+16}[/tex]

  = [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41

then

(x - 0)² + (y - 2)² = 41 , that is

x² + (y - 2)² = 41 ← equation of circle

Answer:

The radius is approx. 7.5

Let me know if it helps or if I got anything wrong!

Step-by-step explanation:

To find the circumference, you need to multiply the diameter by pi (3.14)

And for vice versa, just divide.

Since we don't know the diameter nor radius, we need to divide the Circumference (C) by pi (3.14)

47/3.14=14.968

Which is rounded up to 15.

We have now found the diameter.

We also know that the radius is half of the diameter

15/2=7.5

Answer:

24.6%

Step-by-step explanation:

243-195=48

48/195=x/100

48 × 100

4800/195= 24.6%

Answer:

The answer is 13!

Step-by-step explanation:

Have a great day!

Step-by-step explanation:

Simplify 20/55;

[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]

[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]

In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.

Assuming 2:5 and 22:55 are equivalent. Then;

[tex]\implies 2:5 = 20:55[/tex]

This can be checked by using two methods. Listed below!

This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.

Obtained ratio:

[tex]2:5 = 20:55[/tex]

We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.

[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]

[tex]2:5 = (4):(11)[/tex]

Therefore, the given ratios are NOT equivalent.

To determine if the ratios are equivalent (or not);

Therefore,

[tex]\implies 2:5 = 20:55[/tex]

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

Now, let's simplify both sides of the equation.

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]

Therefore, the given ratios are NOT equivalent, as stated in method 1.

Learn more about equivalent ratios: https://brainly.com/question/18835388

Answer:

= 8.06

Step-by-step explanation:

4^2 + 7^2
16 + 49
= ∫65
= 8.06

Answer:

bilmiyom ne olduğunu Türkçe anlat

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3(x + 2) + 52 + 35 = 180 , that is

3(x + 2) + 87 = 180 ( subtract 87 from both sides )

3(x + 2) = 93 ( divide both sides by 3 )

x + 2 = 31 ( subtract 2 from both sides )

x = 29

Answer:

80/7, of 11 3/7

Step-by-step explanation:

make 4 into a fraction, 4/1, then make 2 6/7 into an improper fraction, 20/7. For fraction multiplication, multiply the numerators and then multiply the denominators. after doing that you will get 80/7 which in 11 3/7

Answer:

2.5 inches / B (edited)

Step-by-step explanation:

1.25 inches is the radius, so 2.5 inches is the diameter, because:

The diameter's formula is [tex]2r[/tex]. :) emjoy

Answer :

⠀

Explanation :

⠀

To Find :

⠀

Solution :

⠀

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]

⠀

Where,

⠀

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]

⠀

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]

[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]

[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]

⠀

Therefore,

Answer: the value of y is - 2

Step-by-step explanation:

Answer:

its B hope that helps have a great day

Answer:

10.) y = [tex]\frac{-1}{4}[/tex]x + [tex]\frac{17}{4}[/tex]  11.) y = 3x + 7

Step-by-step explanation:

10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.

y=mx+b becomes 4 = [tex]\frac{-1}{4}[/tex](1) + b

4 = -1/4 +b

add the 1/4th to both sides to isolate b.

you end up with an answer of, 4[tex]\frac{1}{4}[/tex] which equals [tex]\frac{17}{4}[/tex]

so you end up with b =  [tex]\frac{17}{4}[/tex]

-------------------------------------------------------------------------------

11.) Do the same thing with the other problem.

you know m = 3. x = -1 and y = -4

substitute what you know now.

y = mx+b becomes -4 = 3(-1) + b

add -3 to both sides to isolate b

then you end up with an answer of

b = 7

Answer:

C

Step-by-step explanation:

One side;

7 x 8 = 56, the side parallel to it is also 56 as well, so 56(2).

Second(bottom) side;

8 x 4 = 32, the side parallel to it(the side above) is also 32 as well, so 32(2).

Third(front) side;

4 x 7 = 28, the side parallel to it(backside) is also 28 as well, so 28(2).

You add all those products to get the surface area:

56(2) + 32(2) + 28(2)