Solve the equation below using completing the square method

6y 2 – y – 15 = 0

x=3

Step-by-step explanation:

five time three is fifteen minus three is twelve.

x=3 is the solution to the equation 5x - 3 = 12.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.

First, we can add 3 to both sides of the equation:

5x - 3 + 3 = 12 + 3

Simplifying the left-hand side:

5x = 15

Next, we can divide both sides of the equation by 5:

5x/5 = 15/5

Simplifying the left-hand side:

x = 3

Therefore, the solution to the equation 5x - 3 = 12 is x = 3.

Learn more about algebraic Expression here:

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Answer:

Put one dot on the line above 18 directly where the numbers are on the left side line. Put the second dot on line 2 for X axis and y axis is the line above 20

Step-by-step explanation:

Answer:

8 bowls

Step-by-step explanation:

2/3 = 8/12

8/12 ÷ 1/12 = 8

This should be right. Sorry if it isn't.

Answer:

8 bowls

Step-by-step explanation:

In total, we have 2/3 of a gallon of ice cream. Essentially, we want to divide this 2/3 gallons into b bowls such that each bowl has 1/12 of a gallon.

We can write this as the mathematical equation:

2/3 ÷ b = 1/12

Multiply both sides by b:

2/3 = (1/12) * b

Divide both sides by 1/12:

(2/3) ÷ (1/12) = b

Remember that when dividing fractions, it's the same as multiplying by the reciprocal, so:

(2/3) ÷ (1/12) = b

(2/3) * (12/1) = b

b = 8

Thus, the answer is 8 bowls.

Answer:

Radius = 7cm

Diameter = 14cm

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes across the entire circle, so it is the diameter

Diameter = 14 m

The radius of a circle is half the length of the diameter.

r = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{14}{2}[/tex]

r = 7 cm

This is why the radius is 7cm, and the diameter is 14cm.

Hope this helped!

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Answer:

8/27

Step-by-step explanation:

4 x 2 = 8

9    3   27

Final answer:

The expression 4/9 x 2/3 simplifies to 8/27, which cannot be reduced further as there are no common factors between the numerator and the denominator.

Explanation:

The original expression given is 4/9 x 2/3. To simplify this expression, we multiply the numerators together (4 x 2) and the denominators together (9 x 3). The product of the numerators is 8, and the product of the denominators is 27, giving us the fraction 8/27. This expression can't be simplified further because 8 and 27 have no common factors other than 1.

If we refer to the example of the scale factor, such as 1:4 scale, it is different from the multiplication of fractions. However, in the case of the proportion 1:2 = 4:x, we solve for x by cross-multiplying, resulting in x being 8. This is a proportional relationship and not directly related to the original fraction multiplication.

Answer:

c

each sidelength is the same, lwh, 27

Answer:

C.

LxWxH=V

V = S^3

Answer:

$28

Step-by-step explanation:

First, you would want to find the amount of money that you earn per car. So, for each car you make $4. Then, multiply 7 times 4 and get 28.

$28 is the answer!

Answer:

To transform from polar coordinates  into Cartesian coordinates  we have:

x = r x cos(theta)

y = r x sin(theta)

r^2 = x^2 + y^2

=>   r = 2*cos(theta)

<=> r = 2*(x/r)

<=> 2x = r^2

<=> 2x  = x^2 + y^2

Hope this helps!

:)

Answer:

x² + y² - 2x = 0

Step-by-step explanation:

r = sqrt(x² + y²)

x = r cos(theta)

r = 2 cos(theta)

Multiply both sides by r

r² = 2r cos(theta)

x² + y² = 2x

Answer:

Step-by-step explanation:

To solve, we need to substitute into the given equation:

T = d/a − j + d/a + j

T = 2468/510 (-115 + 2468/510 + 115)

T = 4.83921568627 (-115 + 4.83921568627 + 115)

T = 23.4180084582

Approx: 23 hours

I'm always happy to help :)

Answer:

10.2

Step-by-step explanation:

ok so simplified your equation is [tex]T=\frac{2da}{(a+j)(a-j)}[/tex] so you plug in your numbers.

[tex]T=\frac{2(2468)(510)}{(510+115)(510-115)}[/tex] after adding 510 and 115 you get 625 but both 510 and 625 are divisible by 5 so divide each by 5. you should have:

[tex]T=\frac{2(2468)(102)}{(125)(395)}[/tex] so just solve basically. [tex]T=\frac{503472}{49375}[/tex] it comes out to 10.196 but after some rounding its 10.2

Hope this helps!

I had the same problem too for math today so might as well help ya!

The product of the given expressions A, B, C, and D is 1. This is computed by recognizing A and C as conjugates (and likewise B and D), and using the difference of squares rule.

Given the expressions of A, B, C, D as written in the question, what needs to be done is to multiply these expressions together. Since B is the negative of A, and D is the negative of C, you can rewrite ABCD as:

A*(-A)*C*(-C)

which simplifies to -(AC)2. You'll notice that A and C are conjugates. This means that squaring them results in the difference of squares, or a2 - b2. Implementing this, we get:  

the product ABCD, we can use the distributive property of multiplication over addition. We have:

ABCD = (A + B)(C + D)

Substituting the given values of A, B, C, and D, we get:

ABCD = ((√2008 + √2009) + (-√2008 - √2009))((√2008 - √2009) + (√2009 - √2008))

-(sqrt{2008}2 - sqrt{2009}2) = -(2008 - 2009) = 1

So, the product of the given expressions A, B, C, and D is 1.

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To find ABCD, we multiply the given values together and simplify the expressions using the difference of squares formula. The value of ABCD is -1.

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), to find ABCD, we multiply the given values together:

ABCD = ((√{2008}+√{2009})(-√{2008}-√{2009}))((√{2008}-√{2009})(√{2009}-√{2008}))

By expanding the multiplication and simplifying the expressions, we get:

ABCD = (√{2008}² - (√{2009})²)((√{2009})² - (√{2008})²)

After applying the difference of squares formula, we have:

ABCD = (2008 - 2009)(2009 - 2008)

Simplifying further, we obtain:

ABCD = (-1)(1) = -1

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the complete Question is given below:

Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), find ABCD.

Answer: 300 Centimeters

Step-by-step explanation: 1 meter is 100 cenimeters so you multiply the number of meters by 100 to get it into centimeters so 3 * 100 = 300

Answer:

- cosec x + cot x + x + c

Step-by-step explanation:

[tex] \int \frac{cos x}{1 + cos x} dx\\

=\int \frac{cos x(1-cosx)}{(1 + cos x)(1-cosx)} dx\\

=\int \frac{cos x-cos^2 x}{(1-cos^2 x)} dx\\

=\int \frac{cos x-cos^2 x}{sin^2 x} dx\\

=\int \bigg (\frac{cos x}{sin^2 x}- \frac{cos^2 x}{sin^2 x}\bigg) dx\\

=\int (cotx \: cosecx- cot^2 x) dx\\

=\int [cotx \: cosecx- (cosec^2 x-1)] dx\\

=\int (cotx \: cosecx- cosec^2 x+1) dx\\

=\int (cotx \: cosec) dx- \int cosec^2 x dx+\int 1 dx\\

= - cosec x + cot x +

x + c[/tex]

Answer: each movie costs $6.80, each game costs $29.7

Step-by-step explanation:

First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80

Answer:

13/3 or 4 1/3

Step-by-step explanation:

First you convert your mixed numbers into improper fractions:

5/3 × 13/5

You can reduce these fractions by the greatest common factor of 5

1/3 × 13

Multiply

1/3 × 13 = 13/3   or     4 1/3

Answer:

The with and length of the original rectangle are:

width: 20 ft

Length: 30 ft

Step-by-step explanation:

Lets check

Yes, 30 is 10 longer then 20,

the area of the original is 600

if it was 40 and 30 then it would equal 1200

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.

Answer:

YOUR WRONG 27 IS NOT 45%

Step-by-step explanation:

[tex]\frac{27}{100}[/tex]=27%

100%=1 whole

Answer:

It is 60

Step-by-step explanation:

A better way to rephrase the problem is:

"what is 100 percent of something if 27 is 45% of something. ?"

so

100% * X  = ?

given:   27 = 45% * X

Solve for X,

27/ 45% = X

X = 27 / 0.45 = 60

so.  100% * X = 100% * 60 = 1 * 60 = 60

Answer: its A

Step-by-step explanation:i did the test

Answer:

Its A

Step-by-step explanation:

thx byye

Answer:

3927 cm² wrapping paper will be required.

Step-by-step explanation:

Lateral surface area of a cone shaped wrapper = πrl

where, r = radius of the waffle cone

and l = slant height of the cone

It has been given in the question, radius 'r' = 5cm

and lateral height 'l' = 10 cm

Lateral surface area of the cone = π(5)(10)

                                                      = 50π

                                                      = 157.08 cm²

If they plan to make 25 waffles then wrapper paper required

= 25×157.08

= 3927 cm²

Therefore, 3927 cm² wrapping paper will be required.

Answer:

58

Step-by-step explanation:

58.58 - 0.58 = 58

Answer:

d

Step-by-step explanation:

58.58-0.58=58

Answer:

40%

Step-by-step explanation:

When we say the price of an object is marked down, it means the price of the object was reduced or decreased from the initial or original price.

In the above question:

The original price of a computer game = $45

The price is marked down or decreased by $18

We are asked to find the percent of the original price that is marked down.

This is calculated as:

(The price that the original price is marked down by ÷ Original price ) × 100

= ($18 ÷ $45) × 100

= 40%

Therefore, the percent of the original price that is marked down is 40%.

Answer:

it will be 40%

Step-by-step explanation:

Answer:

the answer is 12.2

Step-by-step explanation:

thats what i got

Answer: 12.2

Step-by-step explanation:

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

Answer:

1. tan A= 1.6643

A = tan^-1(1.6643)

A = 59° , 239°

2. sin A= 0.8480

A = sin^-1(0.8480)

A = 58°, 122°

3. cos A= 0.3420

A = cos^-1(0.342)

A = 1° , 359°

4. cos U= 0.4695​

U = cos^-1(0.4695)

U = 62°, 298°

Answer:

Please see the attached pictures for the full solution.

Answer:

224

Step-by-step explanation:

[tex]A = P[/tex] [tex]\frac{l}{2}[/tex]﹣[tex]l^{2}[/tex] = [tex]78[/tex] · [tex]\frac{32}{2}[/tex]﹣[tex]32^{2}[/tex] [tex]= 224[/tex]

The value of x is 18

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]

So, the value of x is 18

Hope it helpful and useful :)