Write the equation in standard form then factor the left side of the equation. 2x^2=28-x

Answer:

23.3 miles

Step-by-step explanation:

- convert 1hour = 60minutes

14 miles per 1 hour , is the same as

14 miles per 60 minutes

-write an equivalent fraction to keep the proportion

14 miles/60 minutes = ? miles / 100 minutes

-cross multiply , and divide by 60

? = (14*100) / 60 = 23. 3333333...

-round to 1 decimal place

23.3 miles

Answer:

Equation

ans = -1

Step-by-step explanation:

3x-2=-5

3x=-5+2

3x=-3

x=-3/3

x=-1

Part (i)

I'm going to use the notation T(n) instead of [tex]T_n[/tex]

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

Answer:

B

Step-by-step explanation:

The correct answer is B

=======================================================

Work Shown:

Use that given info to say the following:

P(LC given S) = P(LC and S)/P(S)

P(LC and S) = P(LC given S)*P(S)

P(LC and S) = 0.31*0.226

P(LC and S) = 0.07006

P(LC and S) = 0.07

This problem is an example of using conditional probability.

I used "and" in place of the intersection symbol [tex]\cap[/tex]

Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.

Answer:

    3631.681108 ft^2

Step-by-step explanation:

The surface area of a cylinder is

SA = 2pi r^2 + 2pi r h  where r is the radius and h is the height

    = 2pi (17)^2  + 2 pi (17)(17)

    = 578pi +578pi

    = 1156pi

Approximate pi with the pi button

    3631.681108 ft^2

The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'

To prove, we will look at some situations:

If we add up the two digits of 18. We get,

[tex]1 + 8 = 9[/tex]

And we multiply 18 by 2 which is greater than 1. We get,

[tex]18[/tex] × [tex]2 = 36[/tex]

The sum remains the same i.e. [tex]3 + 6 = 9[/tex]

Similarly,

If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;

[tex]18[/tex] × [tex]3 = 54[/tex]

where (5 + 4 = 9)

Once more,

Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.

 [tex]18[/tex] × [tex]4 = 72[/tex]

[tex](7 + 2 = 9)[/tex]

[tex]18[/tex] × [tex]5 = 90[/tex]

[tex](9 + 0 = 9)[/tex]

Thus, 18 is the answer.

Learn more about 'numbers' here: brainly.com/question/1624562

Answer:

Step-by-step explanation:

a). In ΔABC and ΔEDC,

Since, AB and DE are parallel and AE is a transversal,

Therefore, ∠CAB ≅ ∠CED [Alternate interior angles]

m∠D = m∠B = 90°

ΔABC ~ ΔEDC [By AA property of similarity of two triangles]

b). Therefore, by the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

[tex]\frac{DC}{BC}= \frac{DE}{AB}[/tex]

[tex]\frac{60}{200}=\frac{40}{AB}[/tex]

AB = [tex]\frac{40\times 200}{60}[/tex]

     = 133.33

     ≈ 133.3 ft

msin²x+cos²x=m-1

since the interval are 0 and π/4

Therefore

msin²(0)+cos²(0)=m-1

m(0)+1=m-1

1=m-1

m=2

use π/4 now

msin²(π/4)+cos²(π/4)=m-1

m(1/2)+(1/2)=m-1

m+1=2(m-1)

m+1=2m-2

-m=-3

m=3

Therefore

m=2 or 3

Answer:

the graph of f(x)=×2 called a parabola

Answer:

Answer:

I don't really know sorry

If you can give the proportion then it would be better.

I am asuming

8:x::9:36

Then 8:x::1:4

So x = 32

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 32

Step-by-step explanation:

[tex]\frac{8}{x}[/tex] = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 8 × 4 = 32

Answer:

The first option would be your answer. The graph should be positive due to the modulus.

The first option is good.

Hope it helped!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x²+x+1

Step-by-step explanation:

1st one,

x³-1

= (x-1)(x²+x+1)

2nd one,

x⁴+x²+1

= x⁴+x³-x³+x²+x²-x²+1+x-x

= x⁴+x³+x²-x³-x²-x+x+x²+1

= x²(x²+x+1)-x(x²+x+1)+(x²+x+1)

= (x²+x+1)(x²-x+1)

3rd one,

x³+1+2x²+2x

= x³+x²+x²+x+x+1

= x³+x²+x+x²+x+1

= x(x²+x+1)+(x²+x+1)

= (x²+x+1)(x+1)

So, here the common part among these three is,

x²+x+1, so it's the H.C.F.

Answer:

6n+19

Step-by-step explanation:

6 times a number, n

6n

19 more

6n+19

Answer:

6n + 19

Step-by-step explanation:

Since the expression is 6 times n

We need to have 6 x n or simply just 6n

Since the expression is 19 more than 6n

We need to have 6n + 19

Answer:

Hence The Answer is 66.

Step-by-step explanation:

I Hope It Helps You.

• • •

The simplified expression is 99.3333 (rounded to four decimal places).

To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).

First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.

Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).

Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).

Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).

To learn more about expressions click on,

https://brainly.com/question/19555499

#SPJ2

Complete question is:

Simplify 62+2{56/(4 multipied by 2)-5.

Answer:

Step-by-step explanation:

0.9*2b = 1.8b

0.9*-1 = -0.9

So far we have 1.8b-0.9. It can't be simplified further.

Then, we add the 2nd part, -0.5b+1.

We have:

1.8b-0.9-0.5b+1. Next we combine like terms.

1.8b-0.5b = 1.3b.

-0.9+1 = 0.1

Then we put it together.

1.3b+0.1 is our answer.

Hope this helped! Have a nice day :D

Hi there!  

»»————-　★　————-««

I believe your answer is:

1.3b + 0.1

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

(x + 74) - 318 = 200

x + 74 = 200 + 318

x +74 = 518

x = 518 - 74

x = 444

Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

Answer:    [tex]\displaystyle\ \large \boldsymbol{ 2t^2+5t+2= {(2t+1) (t+2)}}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} 2t^2+5t+2=0 \\\\2t^2+\underbrace{4t+t}_{5t}+2=0 \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }[/tex]

Answer:

G = 140

Step-by-step explanation:

Linear pairs add to 180

H+G = 180

40+G = 180

G = 180-40

G = 140

Answer:

x=70

Step-by-step explanation:

Since the lines are parallel, we know angle y

60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel

y=60

The sum of the angles of the triangle are 180

x+y = 50 =180

x+60+50 =180

x+110 = 180

x = 180-110

x = 70

Answer:

x=70 degrees!!!

Step-by-step explanation:

Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.

Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:

x + y + 50 = 180

Since we know y = 60°, we can substitute the value and simplify:

x + 60 + 50 = 180

Combining like terms:

x + 110 = 180

To find x, we subtract 110 from both sides:

x = 180 - 110

After calculation, we get:

x = 70°

Therefore, the measure of angle x is 70°.

Answer:

T = 60 degrees

Step-by-step explanation:

The dotted line is the height so it is a right angle

We are able to use trig functions since this is a right triangle

cos T = adj side / hyp

cos T = a/b

cos T = 8 sqrt(2) / 16 sqrt(2)

cos T = 1/2

Taking the inverse of each side

cos^-1 ( cosT) = cos^-1 ( 1/2)

T = 60 degrees

Answer:

[tex]\angle T=60^{\circ}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the sides are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle. We know that two right triangles are created on both sides of the rectangle in the center. Notice that [tex]8\sqrt{2}\cdot 2=16\sqrt{2}[/tex] and since [tex]16\sqrt{2}[/tex] is the hypotenuse of the right triangle on the left, [tex]8\sqrt{2}[/tex] must be facing the 30 degree angle. Therefore, angle T must be 60 degrees.

Alternatively, the cosine of any angle in a right triangle is equal to its adjacent side divided by the hypotenuse.

Therefore, we have:

[tex]\cos \angle T=\frac{8\sqrt{2}}{16\sqrt{2}},\\\cos \angle T=\frac{1}{2},\\\angle T=\arccos(\frac{1}{2}),\\\angle T=\boxed{60^{\circ}}[/tex]

note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box

======================================================

Work Shown:

C = 2*pi*r

C = 2*r*pi

C = 2*5*pi

C = 10pi

Answer:

Angle 8 and angle 5 are the adjacent to each other

Answer:

11.55

Step-by-step explanation:

Answer:

Percentage profit = 11.3%

Step-by-step explanation:

Given the following data;

To calculate the profit percentage on the article;

First of all, we would determine the value-added (vat) tax levy;

Vat levy = 0.13 * 10000

Vat levy = Rs. 1300

Profit = selling price - cost price

Profit = 12430 - 10000

Profit = 2430

Profit after vat;

Profit after vat = Profit - Vat levy

Profit after vat = 2430 - 1300

Profit after vat = 1130

Next, we would calculate the profit percentage on the article;

[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]

Substituting the values into the formula, we have;

[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]

[tex] Percentage \; profit = \frac {113000}{10000} [/tex]

Percentage profit = 11.3%

Answer:

6.5

Step-by-step explanation:

you just take whats between the numbers