When deriving the quadratic formula by completing the square what expression can be added to both sides of the equation to create a perfect square trinomial x^+b/ax+_=-c/a+_

Answer:

A

Step-by-step explanation:

12x + 6 ≥ 9x + 12

12x-9x ≥ 12-6

3x ≥ 6

x ≥ 2

Answer:

A. x ≥ 2

Step-by-step explanation:

test approved

g(x) is f(x) shifted 4 units down and 2 units to the left and flipped over the x-axis.

The total height of Mauna Loa is -8,830 meters.

The total height of Mauna Loa, a volcanic mountain in Hawaii, can be calculated by adding its height above sea level to its depth below sea level. The mountain stands at 4,170 meters above sea level and extends to a depth of 13,000 meters below sea level. To find the total height, we add these two values: 4,170m + (-13,000m) = -8,830 meters.

Answer:

$4,290.69

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- To find the commission, just convert the percentage into a decimal (divide by 100) and multiply it by the sales.

3.5% = 0.035

122,591 x 0.035 = $4,290.69

Answer:

Richard Lens received a commission of $4,290.685 on a sale of  $122,591.

Step-by-step explanation:

We are given the following information in the question:

Total sale made = $122,591

Commission received by Richard = 3.5%

Amount of commission relieved =

Formula:

[tex]\displaystyle\frac{\text{Percentage of Commission recived}}{100}\times \text{Total sales}[/tex]

= [tex]\displaystyle\frac{3.5}{100}\times 122591[/tex]

= $4290.685

Thus, Richard Lens received a commission of $4,290.685 on a sale of  $122,591.

Answer:

SteEarth's surface covered by water is 352,000,000 + 9 x 10^6 = 352,000,000 + 9,000,000 = 361,000,000 = 3.61 x 10^8p-by-step explanation:

Answer:

8 = r; (9, 8)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + r\3 + 9 = ?\12

-2 + r = 6

+2 + 2

__________

r = 8

The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the rate of change [slope] of ½, so there you have it.

I am joyous to assist you anytime.

Final answer:

To solve for the missing coordinate r on the line with a slope of 1/2, we set up the equation based on the slope formula, which results in r = 8.

Explanation:

To find the missing coordinate r for the point (9,r) that lies on a line with slope 1/2, we can use the formula for the slope of a line between two points, which is (y2 - y1)/(x2 - x1). Here, we have one point (-3, 2) and another point (9, r). We plug these into the formula, setting the slope equal to 1/2, and solve for r:

m = (r - 2)/(9 - (-3)) = (r - 2)/12

Since the slope m is given as 1/2, we can set up the equation:

1/2 = (r - 2)/12

Cross-multiplying gives us:

12 * (1/2) = r - 2

6 = r - 2

Adding 2 to both sides:

r = 8

Therefore, the missing coordinate is r = 8.

Answer:

100 feet squared: can u plz give me the brainliest answer!!!!!!!!! plz!!!!!!!!!!!

Step-by-step explanation:

Area of triangle: base x height divided by 2.

25 x 8 = 200

200/2 = 100

Have a nice day!!!!!!!!!! :-)

KA

Answer:

I believe the answer is D, 145 degrees

Step-by-step explanation:

180 - 35 = 145

Apologies if I am incorrect.

Answer:

D. The range of the function is all real numbers greater than or equal to 0.

Step-by-step explanation:

The graph of the function [tex]y=\sqrt{-x}[/tex] is shown in attached diagram.

1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is

[tex]x\in (-\infty,0][/tex]

2. The range of the function is the set of all possible values for output (for y), so the range of this function is

[tex]y\in [0,\infty)[/tex]

As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.

Answer:

D on Edge 2021

Step-by-step explanation:

Answer:

[tex]\large\boxed{slope=\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (8, 1) and (24, 9).

Substitute:

[tex]m=\dfrac{9-1}{24-8}=\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}[/tex]

Answer is provided in the image attached.

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

The length of JK is found by setting the sum of IJ and JK equal to IK and solving for x. When x=4 is substituted back into the expression for JK, the calculated length of JK is 7 units.

To find the numerical length of JK, we can use the fact that IK is the entire line segment, which is the sum of IJ and JK. Therefore, we have the equation IK = IJ + JK. Substituting the given expressions, we get 3x + 2 = (3x - 5) + (2x - 1). Solving for x, we combine like terms and simplify the equation.

First, add the expressions for IJ and JK: (3x - 5) + (2x - 1) = 5x - 6.

Next, set the total length equal to the sum of parts: 3x + 2 = 5x - 6.

Now we solve for x: -2x = -8, leading to x = 4.

Finally, we substitute x back into the expression for JK to find its length: JK = 2(4) - 1 = 8 - 1 = 7.

So, the numerical length of JK is 7 units.

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Answer: second option.

Step-by-step explanation:

We need the remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

Therefore, the radicand (In this case [tex]\frac{144}{x}[/tex]) must be a perfect cube in order to get a whole number.

Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.

Now, we need to descompose 144 into its prime factors:

[tex]144=2*2*2*2*3*3=2^4*3^2[/tex]

Then, the factors of 144 are: [tex]1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144[/tex]

Substitute values into [tex]\frac{144}{x}[/tex] to check:

[tex]\frac{144}{1}=144[/tex]

[tex]\frac{144}{2}=72[/tex]

[tex]\frac{144}{3}=48[/tex]

[tex]\frac{144}{4}=36[/tex]

[tex]\frac{144}{6}=24[/tex]

[tex]\frac{144}{8}=18[/tex]

[tex]\frac{144}{9}=16[/tex]

[tex]\frac{144}{12}=12[/tex]

[tex]\frac{144}{16}=9[/tex]

[tex]\frac{144}{18}=8[/tex]  (Perfect cube: [tex]8=2^3[/tex])

[tex]\frac{144}{24}=6[/tex]

[tex]\frac{144}{36}=4[/tex]

[tex]\frac{144}{48}=3[/tex]

[tex]\frac{144}{72}=2[/tex]

[tex]\frac{144}{144}=1[/tex] (Perfect cube: [tex]1=1^3[/tex])

Therefore, for 2 different values of "y"  ([tex]y=18[/tex] and [tex]y=144[/tex]) [tex]\sqrt[3]{\frac{144}{y} }[/tex] is a whole number.

Answer:

B) 2

Step-by-step explanation:

Edge 2020

Answer:

⅖

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + 4\2 + 3 = ⅖

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Answer:

Step-by-step explanation:

First, multiply 1/7 and to to equal tb/7. So now the equation would look like 5g +tb/7=d. Then subtract 5g from both sides. Then distribute the 7 tb=7d -35g. Divide each term by t and you get b=7d/t-35g/t.

Answer:

$23.42

Step-by-step explanation:

144×10^7÷3.2×10^4 is 4500000000000.

Answer:

6.70×10^2

Step-by-step explanation:

Change the 2.144 to standard form to obtain

2144×(10^-3 ×10^7) and also change the 3.2 to 32 ×10^-1 × 10^4

= 32×10^3

2144 ×10^4/32×10^3. since the base are equal (base 10) take only one and subtract the exponent.(2nd law of indices)

2144/32 × 10^4-3

64.97 × 10^1

6.497×10^1 × 10^1

=6.497×10^2

Answer:

The answer is B: 1125

Step-by-step explanation:

I divided it for you and it is the only answer that did not have a decimal.

Answer:  11√7

Step-by-step explanation:

Inversely proportional means y√x=k, where k is the constant of proportionality

Find k, when x = 7 and y = 11   ---->    11√7 = k

Answer:

[tex]11\sqrt{7} = k[/tex]

Step-by-step explanation:

[tex]y\sqrt{x} = k \\ \\ therefore \\ \\ 11\sqrt{7} = k[/tex]

I am joyous to assist you anytime.

Answer:

5- x 6

Step-by-step explanation:

You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.

[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{1}{4}}[x-\stackrel{x_1}{(-2)}]\implies y-9=-\cfrac{1}{4}(x+2)[/tex]

Answer:

1. Paying off your credit card each month

2. Mortgage

3. ?

4. All of the above

I'm not sure about the 3rd question.

Final answer:

Paying off a credit card each month is not a long-term debt. A mortgage is most likely to add an appreciating asset to a financial portfolio. Considering interest rates, income potential, and loan length is critical before taking out a loan for college.

Explanation:

Which of the following is not a long term debt? Paying off your credit card each month is not considered a long-term debt. Long-term debts typically extend beyond one year and include options like a 15-year fixed-rate mortgage, a 36-month automobile loan, or a 30-year college education loan.

Your friend is confused about types of debts. Which of the following would most likely help his financial portfolio by adding an appreciating asset? A mortgage is most likely to add an appreciating asset to your financial portfolio, unlike boats and cars, which generally depreciate over time.

Which of the following financing options has the least (future) obligation from the student? A scholarship has the least future obligation from a student as it typically does not require repayment, unlike loans or work-study programs that entail earning or repaying the funds.

Which is something you should consider before taking a loan out for college? Before taking out a loan for college, you should consider all of the above: the interest rate, income potential of your chosen field, and the length of the loan.

Answer:

1    4 x 25

2 25 x 4

Step-by-step explanation:

Hey!

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Solution:

In Picture!

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Answer:

[tex]\large\boxed{-\frac{9}{10} }[/tex]

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Hope This Helped! Good Luck!

Answer:

b. -75x+57=-75x+57

Step-by-step explanation:

If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

In option a.

57x+57=-75x-75

57x + 75x = -75 - 57

132x = -132

⇒ x = -1

i.e. it has only one solution,

In option b.

-75x+57=-75x+57

-75x + 75x = 57 - 57

0 = 0  ( True )

i.e. it has infinitely many solution.

In option c.

75x+57=-75x+57

75x + 75x = 57 - 57

150x = 0

⇒ x = 0

i.e. it has only one solution,

In option d.

-57x+57=-75x+75

-57x + 75x = 75 - 57

18x = 18

⇒ x = 1

i.e. it has only one solution.

Answer:

I don’t know if this is different or whatever but I got C

Step-by-step explanation:

Sorry if it’s wrong!

edit it is actually in a different order so make sure to check!

Answer:

6

Step-by-step explanation:

b(x) = |x + 4|

b(-10) = |-10 + 4|

-10 + 4 = -6

|-6| = 6

b(-10) = 6

Hey!

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Solution:

b(x) = |x + 4|

b(-10) = |-10 + 4|

b(-10) = |-6|

b(-10) = |6|

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When you see two lines next to a number, it mean the absolute value of that number. So if you have |-5| the absolute value is |5|.

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Answer:

6

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Hope This Helped! Good Luck!

Answer:

f(m) = 6m +7

Step-by-step explanation:

Given that,

f(x) = 6x + 7

∴f(m) = 6m +7              

just put m instead of x  .