If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

Answer:

14 cm

Step-by-step explanation:

hope this helps :)

Answer:

Out of the two sums, B is the closest to the value to 1/2.

Steps for A:

Change 1/3 to 5/15

2+5/15

= 7/15

7/15 as a decimal: 0.46

0.50 - 0.46 = 0.04

Steps for B:

Change 6/7 to 18/21

Change 1/3 to 7/21

18-7/21

= 11/21

11/21 as a decimal: 0.52

0.52 - 0.50 = 0.02

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

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Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

Answer: 8

Step-by-step explanation: to find 20% multiply 40 by .20

Answer:

3y is the GCF

Step-by-step explanation:

the lowest value is -9y, so it can't be a value in the exponents

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

From the complete question,we have the following parameters:

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

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Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

Answer:

-9/11 > -5/8

Step-by-step explanation:

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

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Answer:

43646

Step-by-step explanation:

I did not know

Answer:

25 pounds

Step-by-step explanation:

both are 49. and one is 24.

49-24=25. which has to be the weight of the second suitcase.

= 70% of the flowers are carnations

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]

[tex]=\frac{2}{5} +\frac{3}{10}[/tex]

[tex]= \frac{4 + 3}{10}[/tex]

[tex]=\frac{7}{10}[/tex]

covert into percent

[tex]=\frac{7}{10} 100[/tex]

= 70%

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Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

Answer:

Step-by-step explanation:

Solve a slope using a rate of change.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

⇒ y2=(-5)

⇒ y1=3

⇒ x2=2

⇒ x1=0

Rewrite the problem down.

⇒ (-5)-3/2-0

Solve.

⇒ -8/2

Divide.

⇒ -8/2=-4

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

y³ = 1.728x³

y = ³√1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

Answer:

hmmmm help rin ako po please

120 sq.un

Here given the following,

Answer:

5.946

Step-by-step explanation:

The pythogorean theorem states that a^2+b^2=c^2.

We are given the hypotenuse, c, and a side length.

3.5^2+b^2=6.9^2

12.25+b^2=47.61

b^2=35.36

b=5.9464...., rounded to 5.946

Answer:

152.4

Step-by-step explanation:

30%+10%=40%

100%-40%=60%

254*0.60=152.4

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12[/tex]

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

Therefore, the nth term is :

Answer:

B

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Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

Answer:

Step-by-step explanation:

Isolate the term of e from one side of the equation.

First, you subtract by 3 from both sides.

⇒ 2e+3-3=5-3

Solve.

Subtract the numbers from left to right.

⇒ 5-3=2

Rewrite the problem down.

⇒ 2e=2

Divide by 2 from both sides.

⇒ 2e/2=2/2

Solve.

Divide the numbers from left to right.

⇒ 2/2=1

⇒ e=1

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

e = 1

Step-by-step explanation:

Subtract 3 both sides:

⇒ 2e + 3 = 5

⇒ 2e + 3 - 3 = 5 - 3

⇒ 2e = 2

Divide both sides by 2:

⇒ 2e = 2

⇒ 2e/2 = 2/2

⇒ e = 1

Answer:

B

Step-by-step explanation:

The measure of the angle ABC in the given circle is 60°

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,

We need to find the measure of the angle ABC,

So, using the property of a circle, we will have,

∠ ABC = 1/2 {arc DE + arc AC}

= 1/2 {45+75}

= 1/2 x 120

= 60

Hence, the measure of the angle ABC in the given circle is 60°

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