if DF = 9x-39 find EF
DE = 47
EF = 3X+10

Answer:

1. (-1.5,0), -3/2, or -1(1/2)

2.(-16,0)

Step-by-step explanation:

1. explanation:

the 2 and the -5 are 8 spaces apart (-5,-4,-3,-2,-1,0,1,2). the exact halfway point of them is -1.5. the exact halfway point between 5 and -5 is 0. thus led me to (-1.5,0.) I then graphed it on desmos to see if it was halfway, which it is. (refer to the image)

2. explanation:

the distance between -6 and 4 is 10, so -16 would be the first half of the endpoint location. Then the distance between 4 and 8 is 4, so 4-4 is 0. the start point of 2 is (-16,0)

Answer: (x-2)(x+y)

Step-by-step explanation:

x² + xy-2x-2y=

x(x+y)-2x-2y=

x(x+y)-2(x+y)=(x-2)(x+y)

Answer:

[tex] \large \boxed{(x- 2)(x+y)}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + xy - 2x - 2y[/tex]

We are given with 4 terms. so use grouping method for factoring. To factor the given expression we take out GCF

[tex]x^2- 2x +xy - 2y[/tex]

we group first two terms and last two terms

then take out GCF from each group

[tex]x(x-2) +y(x-2)[/tex]

Now take out common factor x-2

[tex](x- 2)(x+y)[/tex]

The possible values of x are 3 and 7

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

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Putting the data in sequential order, we get:

(a) The median is (4+6)/2 = 5.

(b) The mean is (2+2+3+4+6+12+14+15)/8, or about 7.3.

(c) There is one value that occurs the most, so there is one mode, which is 2.

Answer:

x < 0

Step-by-step explanation:

We are given this inequality:

3x + 4 < 4

And we want to solve it.

Solving inequalities is very similar to solving equations. We want to isolate the variable (in this case, x) on one side, while leaving the numbers on the other side.

To start, we can subtract 4 from both sides.

3x + 4 < 4

    -4     -4

__________________

3x < 0

Now, we have the numbers on one side and the variable on the other, but we aren't done yet, as we want to solve for the value of x, or 1x, not the value of 3x.

So, we'll need to divide both sides by 3.

3x < 0

÷3   ÷3

___________

x < 0

The answer is x < 0.

Answer:

y=6

Step-by-step explanation:

x=3 is parallel to the y axis so the perpendicular line will be parallel to the x axis and will equals y=6 so it will pass through the point which have a y coordinate of 6

The loss percentage of cloth is 12.5%.

Stock of cloth = Rs. 1,60,000

worth of destroyed cloth = Rs. 20,000

A percentage is a number or ratio that can be expressed as a fraction of 100. It is denoted by the symbol %.

Percentage = Value/ Total value × 100%

Loss percentage = Loss/Total value × 100%

So, the loss percentage of cloth = 20,000/1,60,000 ×100%

                                                   = 0.125 × 100%

                                                   = 12.5%.

Answer:

Answer is the picture attached

Answer:

[tex]\frac{5}{42}[/tex]

Step-by-step explanation:

It makes a difference if the marbles are place bag into the bag after selecting.  Since this is not stated, I am assuming that once a marble is selected, it is not placed back in the bag.

[tex]\frac{5}{9}[/tex] x [tex]\frac{4}{8}[/tex] x [tex]\frac{3}{7}[/tex] = [tex]\frac{60}{504}[/tex]  This simplified would be [tex]\frac{5}{42}[/tex]  The 5 represent the number of blue marbles available our of 9 total marbles.  Next, we only have 4 blue marbles available out of a total of now 8 marbles and lastly, for the third draw we only have 3 blue marbles available and only 7 total marbles are left.

If the marbles are replaces that changes the problem and the answer would be [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] x [tex]\frac{5}{9}[/tex] = [tex]\frac{121}{729}[/tex]

The value of the function f(3) is 1

The graph represents the given parameter

The value of f(3) implies that we calculate the value of the function when x = 3

From the graph, we have

f(x) = 1, when x = 3

This means that

f(3) = 1

The above is calculated by substituting 3 for x in the equation f(x) = 1

Hence,  the value of f(3) is 1

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Answer:

m= -40

Step-by-step explanation:

Answer:

256.75 or 257 rounded to the nearest 10th

Step-by-step explanation:

The distance from the check point when Odalis catch up Jaquan is 1.2 kilometers.

Relative speed is the net speed difference when objects move in the same direction and sum of individual speeds when objects move in opposite direction.

Given Jaquan speed is 9km/hr which is 0.15km/minute and Odalis has a speed of 12km/hr which is 0.2km/minute.

∴ The relative speed difference between Jaquan and Odalis is

= (0.2 - 0.15) km/hr.

= 0.05 km/hr.

Given Odalis reached the check post after 2 minutes in this time Jaquan have covered (2×0.15) kilometers.

= 0.30 kilometers.

Now to catch up Jaquan, Odalis will need (0.30/0.05) minutes which is

= 6 minutes.

∴ The distance from the check post Odalis travelled to catch up with Jaquan is (0.2×6) kilometers.

= 1.2 kilometers.

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Answer:

1.2 km

Step-by-step explanation:

thats the answer on khan

The three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

The number is given as

1022₅

As a general rule in number base.

If the base of a number is n

The highest digit in any number in that base is n - 1

This means that the highest digit in base 5 is 4

Using the above as a guide, the three numbers before 1022₅ are 1014₅, 1020₅, 1021₅ while the three numbers after 1022₅ are 1023₅, 1024₅, 1030₅

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Answer:

y=-4x+0

Step-by-step explanation:

Slope form is y=mx+b

m is the slope, and b is the y intercept. If the line must pass through (0,0) then the y intercept would be zero.

This give you y=mx+0

Now to find the slope you need a perpendicular line to the previous line. This would mean you have to swap 1/4 which is the previous lines slope.

1/4 is a positive so make it a negative, -1/4

Now flip -1/4 to make is -4/1 which also equals -4

Now with the slope -4 and y-intercept 0, you know you equation

y=-4x+0

64.00336 × 10⁵  is the solution of the Expression .

What in mathematics is a linear equation?

=(48*7) +65 ×10⁵

=((40+8) *7) +65 × 10⁵

=(280+56)+65 ×10⁵

=336+65 × 10⁵

=.336*10^3+65 × 10⁵

=.00336*10^5+65 × 10⁵

=(.00336+65) × 10⁵

= 64.00336 × 10⁵

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The required irrational number is 13 / 16 among the options given. Option D is correct.

Given that,
To determine the irrational number among the number given.

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3, etc.

here,

49² = is rational number
34 ² = rational number
9 / 2 = rational number
13 / 16 = irrational number

Thus, the required irrational number is 13 / 16 among the options given. Option D is correct.

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The value of x in tan x = 4 over 9 is x = 23.9

The trigonometric equation is given as

tan x = 4 over 9

Rewrite the above equation properly

So, we have

tan(x) = 4/9

Evaluate the quotient

So, we have

tan(x) = 0.4444

Take the arc tan of both sides

x = 23.9

Hence, the value of x in tan x = 4 over 9 is x = 23.9

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Jenna paid a total interest of $4810 (13% of the cost of the car) for the car.

Suppose there is initial amount as P.

The interest, or say charge on it is applied annually as 'C' amount.

Taking how much percent of P is C, we get:

[tex]APR = \dfrac{C}{P} \times 100[/tex]

WE have been given that Jenna bought a new car for $37,000 and paid a 10% down payment and financed the remaining balance for 72 months with an APR of 6.5%

Assuming that she makes monthly payments, to determine the total interest Jenna pays over the life of the loan.

The cost = $37,000

Time = 72 months

APR = 6.5%

Then;

Interest = (37,000 x 6.5 x 2) /100

= $4810

Percentage of interest paid = (4810/37,000 ) x 100

= 13%

Therefore, Jenna paid a total interest of $4810 (13% of the cost of the car) for the car.

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Answer:

x= 20

y = 60

Step-by-step explanation:

y = 3x

6(3x) = 360

3x = 360/6

3x = 60

x = 20

y = 3*20

y = 60

Answer:

when a die is thrown,the total number of possible outcomes are 1 because die has cubical shape so only one outcomes is possible.

Answer:

Explanation:

one way is to find the intercepts, that is where the graph

crosses the x and y axes

∙

let x = 0, in the equation for y-intercept

∙

let y = 0, in the equation for x-intercept

x

=

0

→

0

+

y

=

−

6

⇒

y

=

−

6

←

y-intercept

y

=

0

→

2

x

+

0

=

−

6

⇒

x

=

−

3

←

y-intercept

plot

(

0

.

−

6

)

,

(

−

3

,

0

)

and draw a straight line

through them

graph{-2x-6 [-14.24, 14.24, -7.12, 7.12]}

Answer: -8

Step-by-step explanation:

Multiply the 8 by the 11 and -12

11(8) - 12(8)

88-96

8

Answer:

x = -9

Step-by-step explanation:

-7(-2x+6) = -168

distributive property:

-7*-2x + (-7*6) = -168

14x+-42 = -168

14x = -126

x = -9

Answer:

-2 = 1

-1 = 3

0 = 5

1 = 7

2 = 9

Step-by-step explanation:

Answer:

(8)(-13); -104

Step-by-step explanation:

Product means to mutliply, so the expression is (8)(-13), which evaluates to -104.