Can someone please help me with this easy math problem?

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

Answer:

1 1/2

Step-by-step explanation:

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

Step-by-step explanation:

2x = 18

Divide both sides by 2

x = 9

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~

Answer:

no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

 student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

 small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

 medium: 4 : 5 . . . (same as small)

 large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

S/O:  sqdancefan

Answer:

original price of a cd is 12.50. what is the price with a discount of 39%

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is 69-123

Answer: C. Distributive Property

Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.

Answer:

Step-by-step explanation:

-16.51

---------

2.54

-16.51

--------

2.54

1651

------

254

-13

-----

2

Answer: -13

----

2

Answer:

they are not similar

Step-by-step explanation:

MN/VW=16/22=8/11

LN/UW=20/28=5/7

LM/UV=25/35=5/7

there is no information about the angles, you apply SSS but in this situation not all sides are proportional

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

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Answer:

The answer is t = 0.25

Step-by-step explanation:

Answer:

t = 0.25

Step-by-step explanation:

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

Work Shown:

(3 mm)/(17 m) = (x mm)/(55 m)

3/17 = x/55

3*55 = 17*x

165 = 17x

17x = 165

x = 165/17

x = 9.706 approximately

Side note: I used the cross multiplication rule for the third step.

Answer:

x=0.4

Step-by-step explanation:

ubtract

0.43

from both sides of the equation.

−

8.5

x

=

−

2.97

−

0.43

Subtract

0.43

from

−

2.97

.

−

8.5

x

=

−

3.4

Divide each term in

−

8.5

x

=

−

3.4

by

−

8.5

.

−

8.5

x

−

8.5

=

−

3.4

−

8.5

Divide

−

3.4

by

−

8.5

.

x

=

0.4

Answer:

Below.

Step-by-step explanation:

Using Pythagoras theorem, let's find y.

=> y² = 3² + 3²

=> y² = 9 + 9

=> y² = 18

=> y = √18

=> y = 4.24 (Estimated)

Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.

Hoped this helped.

Answer:

look up demos, it works like a charm everytime!

Step-by-step explanation:

hope this helps :)

Answer:

3:14

Step-by-step explanation:

The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14

(Divide both numbers by 2)

Hope this helps!!

Answer:

50,000

Step-by-step explanation:

The little 5 is called an exponent, so it would be 0.5*10^5.

Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand

Answer:

c=10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

Step-by-step explanation:

1296.84 / 12 = $108.07 earned per day

hope it helps you...................

....

..

The area of the room is equal to 100 m² and perimeter is 40m

The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side and the perimeter of a square = 4 ×  side units.

Given here: Unit rate of painting per meter square=15 and it cost 1500 in total

Thus Area = 1500/15

                  =100 m²

Then a²=100 and a=10

∴Perimeter of the square room is = 4×10

                                                        =40 m

Hence, The area of the room is equal to 100 m² and perimeter is 40m

Learn more about area and perimeter here:

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Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

[tex]2x-4=6-3x[/tex]

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

[tex]2x + 3x = -3x + 3x + 10[/tex]

And then I'll add like terms:

[tex]5x=10[/tex]

Now, all we have to do is divide both sides by 5:

[tex]5x/5=10/5\\x=2[/tex]

And there's our answer. Hopefully that's helpful! :)

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

The percentage is the indicating hundredth thus the percentage of winning is 58.33%.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

As per the given,

Total matches = 120

Number of lost matches = 50

Number of winning match = 120 - 50 = 70

Winning percentage = (70/120) x 100 = 58.33%

Hence "The percentage is the indicating hundredth thus the percentage of winning is 58.33%".

For more about the percentage,

brainly.com/question/13450942

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