which table represents a linear function?​

By completing squares, we can rewrite the quadratic equation as:

(x + 9)^2 = -9

Remember the perfect square trinomial:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the quadratic equation:

x^2 + 103 = -18x + 13

We can rewrite this as:

x^2 + 18x = 13 - 103

x^2 + 18x = -90

x^2 + 2*9*x = -90

We can add 9^2 and subtract 9^2 to get:

x^2 + 2*9*x + 9^2 - 9^2= -90

(x^2 + 2*9*x + 9^2) - 9^2= -90

(x + 9)^2 - 81 = -90

(x + 9)^2 = -90 + 81

(x + 9)^2 = -9

That is the equation we wanted to get.

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Sam had 21 hits, and Jessica had 42 hits

A linear equatiοn is a mathematical equatiοn that can be written in the fοrm οf "ax + b = c", where "a", "b", and "c" are cοnstants and "x" is the variable being sοlved fοr. Linear equatiοns describe a straight line relatiοnship between variables.

Let's use variables tο represent the number οf hits that Jessica and Sam had.

Let's say that Sam had x hits.

Accοrding tο the prοblem, Jessica had dοuble the amοunt οf hits Sam had, sο Jessica had 2x hits.

Tοgether, they had 63 hits, sο we can write an equatiοn:

x + 2x = 63

Simplifying the equatiοn:

3x = 63

Dividing bοth sides by 3:

x = 21

Sο Sam had 21 hits, and Jessica had dοuble that amοunt, οr 42 hits.

Therefοre, Sam had 21 hits, and Jessica had 42 hits

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No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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Answer:

no

Step-by-step explanation:

equate the two equations (make them equal to each other)

-2/5x - 7 = 2/5x - 3

get rid of the fractions by multiplying everything by 5

5(-2/5x - 7 = 2/5x - 3)

-2x - 35 = 2x - 15

solve

-2x - 35 = 2x - 15

-2x - 2x = -15 + 35

-4x = 20

x = -5

plug in "x" to one of the starting equations (I'm using the second one)

y = 2(-5) - 15

y = -10 - 15

y = -25

an easier way would be to plug in the point for "x" and "y"

-5 = 2(-5) - 15

-5 = -10 - 15

-5 = -25            FALSE

The phrase "La sexta parte de la diferencia de dos números" in algebraic sentence can be written as \( \frac{x}{6} \) where "x" represents the difference between two numbers.

The quantity \( \frac{x}{6} \) is a fraction that represents one-sixth of the difference between two numbers. In other words, if you have two numbers "a" and "b", and you subtract them to find their difference "a-b", then \( \frac{x}{6} \) would equal \( \frac{(a - b)}{6} \).

The fraction \( \frac{x}{6} \) gives us a portion or a ratio of the difference between the two numbers, and in this case, it's one-sixth of that difference. So, if you want to find what one-sixth of the difference between two numbers is, you can simply divide that difference by 6.

Let's say that the two numbers you want to find the difference between are 15 and 6. To find their difference, we would subtract the smaller number from the larger one:

15 - 6 = 9

So, the difference between these two numbers is 9. To find one-sixth of this difference, we would divide the difference by 6:

\( \frac{9}{6} = 1.5\)

So, one-sixth of the difference between 15 and 6 is 1.5.

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The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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Answer:

When quantities have the same relative size. when  they have the same ratio.

Step-by-step explanation:

pliz mark brainliest

Answer:

16

Step-by-step explanation:

Hello,

\(x^2-8x=10 \text{ *** we complete the square ***}\\ \\(x-4)^2-4^2=10 <=> (x-4)^2-16=10 \text{ *** we add 16 to both sides ***}\\\\(x-4)^2-16\boxed{+16}=(x-4)^2=10\boxed{+16}=26\)

Thanks

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

Let's put that into action:

    \(\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }\)<== Answer

Hopefully that helps!

Answer:

4.25

6.5

LOL

Step-by-step explanation:

Answer:

HJ > PK

Step-by-step explanation:

Notice that the side PL in one triangle has the same length as side GJ in the other, and side GH has the same size as side LK of the other triangle. Now what is different is the angle subtended between these sides in the case of the triangle on the lower left, the subtended angle is \(90^o\) , which is larger angle than that subtended between equal sides on the other triangle (\(85^o\))

Therefore, if the angle subtended by the equivalent sides in the triangle on the left is larger than the angle subtended on the right hand side triangle, then the sides associated with such angle aperture must keep the inequality. That is:

Since \(\angle\,G\,\,\,>\,\,\,\angle \,L\), then   HJ > PK

The area of the composite figure is 336 centimeters²

Since, A right triangle or right angled triangle, or more formally an orthogonal triangle, formerly referred as rectangle triangle, is a triangle in which one angle is a right angle, that is in which two sides are perpendicular to each other. It forms the basis of trigonometry on the basis of its sides and angles.

Now, The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm2 and m2. Area of a shape is a two dimensional quantity.

Divide the composite figure into smaller shapes.

A is a rectangle with width 6cm and length 12cm

Hence, Area of A= 12 x 6 = 72cm²

B is a triangle with base 6cm and height 8cm

Therefore area of triangle=1/2 x base x height

= 1/2 x 6x 8 = 24cm²

C is a rectangle with breadth 30cm and length 8cm

Area of figure C =30  x 8 = 240cm²

So, total area of the figure is =(72+24+240)cm²

=336cm²

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Complete question is,

What is the area of this composite figure?

A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 16 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.

96 centimeters squared

160 centimeters squared

208 centimeters squared

256 centimeters squared

Answer:

0.4 miles

Step-by-step explanation:

kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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Answer:

-$130

Step-by-step explanation:

\( - 780 \div 6 = - 130\)

Each owner of the company suffers a $130 loss.

Answer:

5 is 1

6 is 2/3

7 is 2/3

8 is 2

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

JTH Financial, LLC (JTHF)  is a company that was formed in 2010 in Virginia and their goal and mode of operation is to help customers with tax settlement products that can help them get the best amount to pay for taxes.

JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

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Answer:

divide 3 hours 45 minutes by the amount of activites

Step-by-step explanation:

time = 3 hours and 45 minutes

1:30 pm to 4:30 pm is 3 hours, plus 45 minutes is 5:15 pm

divide 3 hours 45 minutes by the amount of activities

need more info

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The 95% confidence interval of the mean body temperature of adults in the town is (97.584, 98.876)°F (open-interval notation), accurate to 3 decimal places.

To find the 95% confidence interval (C.I.) of the mean body temperature, we need to use the formula:

C.I. = x ± z*(σ/√n)

Where:

x is the sample mean

σ is the population standard deviation (unknown, but we can estimate it using the sample standard deviation)

n is the sample size

z is the critical value for the desired confidence level (95% in this case)

First, we need to calculate the sample mean, sample standard deviation, and sample size:

x = (98 + 97.9 + 99 + 97.3 + 98.9 + 99.6 + 97.8 + 99.8 + 99.1 + 98.4 + 98.7 + 97.6 + 96.5) / 13 = 98.23

s = √((1/(n-1)) * Σ(xi - x)²)

s = 1.339

n = 13

Next, we need to find the critical value, z, for a 95% confidence level. We can look this up in a standard normal distribution table or use a calculator. For a 95% confidence level, z = 1.96.

Now we can plug in the values into the formula to get the 95% confidence interval:

C.I. = 98.23 ± 1.96*(1.339/√13) = (97.584, 98.876)

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The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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Answer:

700 i think-

Step-by-step explanation:

Answer:

The equation is sale price=p and the original price is $41.09.

                              .70

Step-by-step explanation:

sale price= (1-.30)p      

sale price=.70p

.70              .70

sale price=p                  

.70

28.76=p

.70

$41.09=p

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.