2xsquare-6x+3=0 by completing square method

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

2(cos²45° + tan²60°)

= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )

= 2( [tex]\frac{1}{2}[/tex] + 3 )  ← distribute

= 1 + 6

= 7

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.

Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

~ an aesthetics lover

Answer:

Time taken by Brooke = 1h 45min

= 60min + 45min

= 105min

Time taken by Lamont = 115min

Brooke finished in 105min, so she was faster.

Option 3 is correct.

Answer:

(2x−3)(x−5)

Step-by-step explanation:

Factor 2x^2−13x+15

2x^2−13x+15

=(2x−3)(x−5)

hope this helps

-lvr

Answer:

Factored: (2x-3)(x-5)

Solving with quadratic formula: X= 5, 3/2

Step-by-step explanation:

Answer:

B) x = -4

Step-by-step explanation:

[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

Answer:

9 554/603

Step-by-step explanation:

If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.

Answer:

10  2/9

Step-by-step explanation:

Answer:

Well I can't exactly graph for you but I will tell you the y intercept is at (0,-3) and the slope is -5/4

Step-by-step explanation:

Make a graph and plot a point on (0,-3)

Then go down 5 and go right 4 to represent the slope of -5/4

Hope this helps!

The graph of line y= -5/4x -3 is attached below.

We have the equation

y= -5/4x - 3.

To graph the line y = -5/4x - 3, you can use the slope-intercept form of a linear equation, which is y = mx + b.

In this equation, "m" represents the slope, and "b" represents the y-intercept.

From the given equation, we can determine that the

slope (m) is -5/4, and the y-intercept (b) is -3.

The graph of the line y = -5/4x - 3 should look like a downward-sloping line that passes through the points (0, -3), (4, -8), and (-4, -2).

Learn more about Graph here:

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Answer:

-7

Step-by-step explanation:

-3x-5=16

-3x=21

x=-7

Answer:

x=-7

Step-by-step explanation:

-3x-5=16 Addition property of Equality

-3x=21 Multiplication Property of Equality

x=-7

Answer:

80 feet

Step-by-step explanation:

Given that x is the horizontal distance in feet and  f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or  maximum point, the slope of the graph is equal to zero.

For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.

Therefore at the minimum point, it is 80 feet far from the wall .

Answer:

The answer is C!

Step-by-step explanation:

Your welcome

Answer: The correct answer for this question is $6.55

Step-by-step explanation:

Hope this helps

Answer:

28.75

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

Answer:

B

Step-by-step explanation:

When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.

6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

Answer:

12

Step-by-step explanation:

[tex]-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12[/tex]

Hope this helps!

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{0.01}{0.1}[/tex]

[tex]r=0.1[/tex]

Answer:

25 Paper Clips

Step-by-step explanation:

100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).

100/4 = 25

So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.

The number of 2,500 paper clips like the given paper clip can be made from a straight piece of wire that is 10 meters long.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

We can start by converting the length of the wire to centimeters since the length of the paper clip is given in centimeters:

10 meters = 10,000 centimeters

To determine the number of paper clips that can be made from the wire, we need to divide the total length of the wire by the length of each paper clip.

Number of paper clips = Total length of wire / Length of each paper clip

Length of each paper clip = 4 cm

Number of paper clips = 10,000 cm / 4 cm

Number of paper clips = 2,500

Therefore, the required number is 2500.

To learn more about multiplication;

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Answer:

option c. 10.2%

Step-by-step explanation:

Number of visitors to Alec's website in February = 1,544

Number of visitors to website in March = 1,386

Number of decreasing members = 1544 - 1386 = 158 visitors

decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]

                                    = [tex]\frac{158}{1544}\times 100[/tex]

                                    = 10.233 ≈ 10.2%

percentage decrease of the number of visitors is 10.2%.

Option c. is the answer.

[tex]answer \\ 71xy - 56x + 27y \\ solution \\ 7x(5y - 8) + 3y(12x + 9) \\ = 35xy - 56x + 36xy + 27y \\ combine \: like \: terms \\ = 35xy + 36xy - 56x + 27y \\ = 71xy - 56x + 27y \\ hope \: it \: helps[/tex]

Answer:

[tex] = 71xy - 56x + 27 \\ [/tex]

Step-by-step explanation:

[tex]7x(5y - 8 )+ 3y(12x + 9) \\ 35xy - 56x + 36xy + 27 \\ 35xy + 36xy - 56x + 27 \\ = 71xy - 56x + 27[/tex]

hope this helps

Answer:

C

Step-by-step explanation:

Answer:

The answer is 48.

Step-by-step explanation:

The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]

[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]

[tex]D = 32 + 16[/tex]

[tex]D = 48[/tex]

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Answer:

12

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

Answer: [tex]9\pi[/tex]

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9

Answer:

the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]

Step-by-step explanation:

Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.

If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:

[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]

Answer: -4/7

Step-by-step explanation:

2/3 (1 + n ) = -1/2n

2/3 + 2/3n = -1/2n

Multiply both sides by 6

4 + 4n = -3n

4n + 3n = -4

7n = -4

Divide both sides by 7

n = -4/7

Answer:

Answer above its explained fully