Use a quadratic equation to find two real numbers with a sum of 2 and a product of
−24

Write the answers in the decreasing order of their values.

Answer:

For question 6 :

> Vertical stretch by 4 ( Multiply y co-ordinates by a)

> Horizontal compress by 2 ( Multiply x co-ordinates by 1/a)

For question 7 :

> Horizontal compress by 3 (Multiply x co-ordinates by 1/a)

> Graph moved down 4.

I hope this is what you looking for.

Answer:

6.  Stretched horizontally by a factor of 1/2 and stretched vertically by a factor of 4.

7.  Stretched horizontally by a factor of 1/3 and translated 4 units down.

Step-by-step explanation:

Transformations

[tex]\textsf{For $a > 0$}[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]

[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]

[tex]-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]

[tex]f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]

Parent function:

[tex]f(x)=\sqrt{x}[/tex]

Stretched horizontally by a factor of 1/2:

Multiply the x-variable by 2:

[tex]\implies f(2x)=\sqrt{2x}[/tex]

Stretched vertically by a factor of 4:

Multiply the function by 4:

[tex]\implies4f(2x)=4\sqrt{2x}[/tex]

Parent function:

[tex]f(x)=\lfloor x \rfloor[/tex]

Stretched horizontally by a factor of 1/3:

Multiply the x-variable by 3:

[tex]\implies f(3x)=\lfloor 3x \rfloor[/tex]

Translated 4 units down:

Subtract 4 from the function:

[tex]\implies f(3x)-4=\lfloor 3x \rfloor-4[/tex]

Answer: A&R is X-3 R&E are 5 B&C are parallel

Step-by-step explanation:

Answer: 11 over 9 power by 2

Step-by-step explanation:

Answer: 7.64

Step-by-step explanation:

It's rounded off.

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Answer:

2/3 times 3/2 equals 1.

Step-by-step explanation:

I've done it

A half-gallon jug of the same wine would cost $10.82

The given parameter is:

0.8-liter bottle = 90 pesos

As a general rule of conversion

1 liter = 0.26 gallon

This means that:

0.8 liter = 0.8 * 0.26 gallon

Evaluate

0.8 liter = 0.208 gallon

Substitute 0.8 liter = 0.208 gallon in 0.8-liter bottle = 90 pesos

0.208 gallon = 90 pesos

Divide both sides by 0.208

1 gallon = 432.69 pesos

Divide both sides by 2

0.5 gallon = 216.35 pesos

1 peso = 0.050 United States Dollar

So, we have:

0.5 gallon = 216.35 * $0.05

Evaluate

0.5 gallon = $10.82

Hence, a​ half-gallon jug of the same wine would cost $10.82

Read more about rates at:

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Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

Answer:

Step-by-step explanation:

Answer:

Sqrt32 = 4[tex]\sqrt{2}[/tex], Sqrt28 = 2[tex]\sqrt{7}[/tex], Sqrt12 = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Square root of 32:

First we find the prime factors of the number by making a factor tree.

32 splits into 8 and 4.

8 splits into 4 and 2

4 splits into 2 and 2

4 splits into 2 and 2

This becomes the square root of [tex]2^{2}[/tex] x [tex]2^{2}[/tex] x 2. It will simplify to:

4[tex]\sqrt{2}[/tex]

Square root of 28:

The prime factors of this number are:

2, and 2

This simplifies to 2[tex]\sqrt{7}[/tex]

Square root of 12:

The prime factors of this are:

3, 2, 2

This simplifies to:

2[tex]\sqrt{3}[/tex]

Answer:

They can not be simplified because they are not perfect squares.

Answer:

C. -4 = 16x

Step-by-step explanation:

That is the graph i got when I typed -4 = 16x.

Brainliest Please!!!

- Hermionia

Complete question :

Of 50 employees of a store located in downtown Boston, 18 people take the subway to work, 12 take the bus, and 7 people take both the subway and the bus. How many employees (a) Take the subway or the bus to work? employees (b) Take only the bus to work? employees (c) Take either the bus or the subway to work (but not both)? employees (d) Get to work by some other means? employees

Answer:

23 ; 5 ; 16 ; 13

Step-by-step explanation:

Given that:

Subway (s) = 18

Bus (b) = 12

Subway and bus = 7

a) Take the subway or the bus to work?

Number of subway + number of bus - (subway and bus)

18 + 12 - 7 = 23

(b) Take only the bus to work?

Number of bus - (subway and bus)

12 - 7 = 5 employees

(c) Take either the bus or the subway to work (but not both)?

Number of bus - (subway and bus) + Number of bus - (subway and bus)

(12 - 7) + (18 - 7) = 5 + 11 = 16 employees

(d) Get to work by some other means?

Total employees - (subway + bus + subway and bus)

50 - (18 + 12 + 7)

50 - 37

= 13 employees

Answer: Eva made 40 sand art bottles

Step-by-step explanation:

1 kilogram =1000 grams
she bought 4000 grams
4000/100 =40
she filled 40 bottles

Answer:

A

Step-by-step explanation:

Hope this helps man i have the same answer rn and im in middle school

Answer:

the answers are

Step-by-step explanation:

for the +5

slope -2

y intercept (0,5)

for the +6

slope is -2

y-intercept (0,6)

if this helped give brainlyest

Answer:

Your answer is 89760!!!

hope this helps!!!

Answer:

89760

Step-by-step explanation:

17*5280=89760

Answer:

It should be 12 i dont know ,,I learned it in class but my teacher told me that there are different types of this math so I don’t know if this is the one I learned

Step-by-step explanation:

Answer:

X =7

Step-by-step explanation:

find x;

45 IS base,

so 45 power X = 45^7

45^x = 45^7

45 will cancel out remaining x=7

therefore x= 7

Answer:

25x = - 1820

x = -72.8

The truck drove 72.8 miles at 45mph and 100-72.8 = 27.2 miles at 20mph

Step-by-step explanation:

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

The dimensions of the scale copy of the rectangle are given by 8 inches and 16/3 inches respectively.

What is a rectangle?

A rectangle is a closed geometric figure with opposite sides parallel and equal to each other. In a rectangle, all the angles are equal and right to each other. The diagonals of a rectangle bisect each other.

Calculating the dimensions of the scale copy

Given length and width of a rectangle are 12 inches and 8 inches respectively

Lexi draws a scale copy of this rectangle using scale factor ⅔.

The new dimensions of the scale copy of the rectangle are given below:

Length Of the scale copy of rectangle = 12 × (⅔) = 8 inches

Width Of the scale copy of rectangle = 8 × (⅔) = 16/3 inches

Hence, the dimensions of the scale copy of the rectangle are 8 inches and 16/2 inches respectively.

To learn more about the rectangle, visit the link given below:

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Answer:

- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

The linear correlation coefficient of the data is: -0.96

Recall:

Thus, given:

Coefficient of determination of a set of data points = 0.93

Slope of the regression line = -5.26

Therefore:

R² = 0.93

R = √0.93

R = 0.96

Since the slope the regression line is negative, R will be negative in this case.

Learn more about linear correlation coefficient on:

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9514 1404 393

Answer:

  73

Step-by-step explanation:

Let m, g, o represent the numbers sold by Mookie, Gandalf, and O'Malley, respectively. Then the relations between these values are ...

  g = 3m -5

  o = 7m +1

  o = 4 +2(m +g)

Equating expressions for o, we have ...

  7m +1 = 4 +2(m +g)

Substituting for g, we have ...

  7m +1 = 4 +2(m +(3m -5))

  7m +1 = 8m -6

  7 = m . . . . . . . . add 6-7m

  g = 3·7 -5 = 16

  o = 7·7 +1 = 50

The number sold in total is ...

  m + g + o = 7 +16 +50 = 73

They sold 73 tickets in total.

Answer:

28 eggs

Step-by-step explanation:

It takes a hen and a half to lay an egg and a half in a day and a half - this means it takes 1 hen to lay 1 egg in a day and a half. Therefore, 1 hen will lay 4 eggs in 6 days, and 7 hens will lay 28 eggs in 6 days.

Answer:

18

Step-by-step explanation:

in 6 days there is 144 hours divide that by 36 (a day and a half) would be 4 so 4 days of the 6 the hens would lay an egg and a half. there is 6 hens divide that by 1.5 would be 4 times that together would be 16 but they laid an egg and a half so add .5x4 so add 2 to the 16 which gives 18

Answer:

$50

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The number of playes can only be 8, 9, 10 ,11 , 12

Answer:

2000

Step-by-step explanation:

Given the equation :

S=2000n+55000

Comparing the equation given to the standard linear equation formula :

y = mx + c

Where ; c = intercept ; m = slope ; y = dependent variable and x = independent variable

From The comparison, the slope of the equation given = 2000.

According to the context, the slope means that Camden salary will increase by 2000 each year.

Answer: You do the same thing that you do for whole numbers but with a decimal

Step-by-step explanation: 3.76 > 2.09 because of the first number

Answer:

Step-by-step explanation: