PROBLEM
Write the equation of the line that passes through (0, -6) and (4, 10).

Answer:

Step-by-step explanation:

Given that the system of equations [tex]y=-8x-6\hfill (1)[/tex] and

[tex]y=8x-6\hfill (2)[/tex] has exactly one solution

[tex]y=-8x-6[/tex]

[tex]y=8x-6[/tex]

______________

[tex]2y=0-12[/tex]

[tex]y=-\frac{12}{2}[/tex]

[tex]=-6[/tex]

[tex]-6=-8x-6[/tex]

[tex]-8x-6+6=0[/tex]

[tex]-8x+0=0[/tex]

[tex]-8x=0[/tex]

[tex]x=-\frac{0}{8}[/tex]

[tex]=0[/tex]

Therefore the value of x is x=0

Answer:

y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

He will take the loan from Company B.

Step-by-step explanation:

Given,

For Company A

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 10%

For Company B

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 8%

To find the amount of the loan he has to pay for both the companies.

Formula

Amount =P [tex](1+\frac{R}{100} )^{T}[/tex]

Amount= P[tex](1+\frac{R}{100Xn} )^{nT}[/tex]

For Company A

Amount = 75000[tex](1+\frac{10}{100}) ^{2}[/tex] [ Here, P= 75000, T=2 and R = 10%]

= 194530 (approx)

For Company B

Amount = 75000([tex](1+\frac{8}{200} )^{4}[/tex] [ Here, P= 75000, T=2, n = 2 and R = 8%]

= 87739 (approx)

Hence,

He will take the loan from Company B, because he has to pay less money for this company.

The equation that represents the data in the table is y = 4x – 2.

Solution:

Take any two point from the table.

Let the points taken are (0, –2) and (3, 10).

[tex]x_1=0, y_1=-2, x_2=3, y_2=10[/tex]

Slope of the line:

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

[tex]$m=\frac{10-(-2)}{3-0}[/tex]

[tex]$m=\frac{12}{3}[/tex]

m = 4

Using point-slope formula,

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=4(x-0)[/tex]

[tex]y+2=4x[/tex]

Subtract 2 from both sides, we get

y = 4x – 2

The equation that represents the data in the table is y = 4x – 2.

Answer: No value for x

Step-by-step explanation:

-5x+10x+3 = 5x+6

5x + 3= 5x +6

Step 1: Combine like terms

5x - 5x = 6-3

0=3

If a magazine contains thirteen pages, it means that the pages are numbered from 1 to 13. When you open the magazine to a random page, there are two possibilities for the page number: it can either be two or ten.

Page number in a magazine

In the context of a magazine, the page number refers to the physical numbering of the pages within the publication.

The page number is typically printed near the top or bottom of each page, allowing readers to navigate through the content.

In this case, if you randomly open the magazine to page two, you will find the content printed on that page. Similarly, if you randomly open the magazine to page ten, you will find different content printed on that page.

Option B:

m∠C = 35°

Solution:

Given data:  

m(ar BD) = 30°  and m(ar AE) = 100°

To find the measure of angle C:  

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

[tex]$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)[/tex]

        [tex]$=\frac{1}{2}{( 100^\circ-30^\circ )[/tex]

        [tex]$=\frac{1}{2}\times {70^\circ[/tex]

       = 35°

m∠C = 35°

Option B is the correct answer.

The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Given:

Earnings for babysitting = $7

my Earnings for landscaping = $11

Total earnings = $96

Iet

number of hours babysitting = x

number of hours landscaping = y

y = 3 × x

y = 3x (1)

y = 3x (1)7x + 11y = 96 (2)

substitute (1) into (2)

7x + 11y = 96 (2)

7x + 11(3x) = 96

7x + 33x = 96

40x = 96

x = 96/40

x = 2.4 hours

substitute x = 2.4 into (1)

y = 3x (1)

y = 3(2.4)

y = 7.2 hours

Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Learn more about equation:

https://brainly.com/question/4563555

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation: -4.5=a-8

1. add 8 to both sides -4.5+8= 3.5

2. since you added 8 to negative 8 you get zero so it just goes away

3. ANSWER= 3.5=a

Answer:

Plug in the Quadratic formula

Step-by-step explanation:

Answer:

2.47 m

Step-by-step explanation:

247 cm /100 = 2.47 m

1 m = 100 cm

247 centimeters is equivalent to 2.47 meters

To convert centimeters to meters, we use the conversion factor that 100 centimeters equal 1 meter. This is because the prefix 'centi' in centimeter means 'one hundredth', so 100 centimeters make up 1 meter.

To find the number of meters in 247 centimeters, we divide 247 by 100, because there are 100 centimeters in a meter. This gives us:

247 cm ÷ 100 = 2.47 meters

Therefore, 247 centimeters is equivalent to 2.47 meters.

Answer:y=3x+6

Step-by-step explanation:

Answer:

The GCF of 5, 6, and 8 would be 1.

Step-by-step explanation:

To find the GCF (Greatest Common Factor) of any amount on numbers, you would find the factors of the numbers and find which is the greatest one that they have in common.

To find the GCF of 5, 6, and 8, we must first find the factors of 5, 6, and 8.

Factors of 5:  1, 5

Factors of 6:  1, 2, 3, 6

Factors of 8:  1, 2, 4, 8

Now we found the factors of 5, 6, and 8. to find the GCF, we must now find which factors they have in common.

The factors 5, 6, and 8 have in common is 1. Since they have no other factors in common, 1 would be the GCF.

The GCF of 5, 6, and 8 would be 1.

I hope this helps. :)

Final answer:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is 1, as it is the only common factor among all the numbers.

Explanation:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is found by determining the largest number that divides each of the given numbers without leaving a remainder. To find the GCF, we can list the factors of each number:

Looking at the factors, 1 is the only number that is common to all three, making it the GCF.

Hence, the GCF of 5, 6, and 8 is 1. This methodically derived GCF encapsulates the common factor that unifies the numerical trio.

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

Answer:

Kevin is 50 and Sean is 25.

Step-by-step explanation:

Add 25 + 50 = 75

Multiply 25 x 2 = 50

Hope this helps

-Amelia The Unknown

Answer:

N = 2 1/3

Step-by-step explanation:

N + 2 1/3 = 4 2/3 (Given)

N = 2 1/3 (Subtract 2 1/3 on both sides.)

Answer:

C.$10,000

Step-by-step explanation:

Let X be the amount of initial investment, 6.5% be the compound interest, n=18years and $31,066 as the final amount:

#Using compound interest:

[tex]A=P(1+i)^n\\\\\Where \ A=31066,i=6.5\%, n=18,P=X\\\\31066=P(1+6.5\%)^{18}\\\\31066=P(1.065)^{18}\\\\P=\frac{31066}{3.106654}\\\\P\approx10000[/tex]

Hence, the amount initially ionvested is $10,000

Answer:

[tex]\displaystyle \frac{4r^2\pi }{9} \text{ cm}^3[/tex]

Step-by-step explanation:

      We will write an expression for the second cone's volume. Let r be equal to the radius of the first cone.

      The volume of a cone can be found with the following formula. Here, h is the height, r is the radius, and V is the volume.

             [tex]\displaystyle V=\frac{1}{3} \pi r^2h[/tex]

      We will substitute our given values and simplify.

             [tex]\displaystyle V=\frac{1}{3} \pi (\frac{1}{3}*r )^2(12)[/tex]

      Square.

             [tex]\displaystyle V=\frac{1}{3} \pi \frac{r^2}{9} (12)[/tex]

      Divide 12 by 3.

             [tex]\displaystyle V=\pi \frac{4r^2}{9}[/tex]

      Move π to the numerator.

             [tex]\displaystyle V=\frac{4r^2\pi }{9}[/tex]

The volume of the new cone, with the same height but one-third of the original radius, is represented by the expression (4 / 9)πr².

The volume of a cone is given by the formula V = (1/3)πr²h.

For a cone with a radius r and height 12 cm, its volume can be expressed as:

[tex]V = (\frac{1}{3})\pi r^2(12) = 4\pi r^2[/tex]

Now, consider a cone with the same height, but with 1/3 of the original radius. Let the new radius be (1/3)r. Using the volume formula again:

[tex]V = (\frac{1}{3})\pi (\frac{1}{3}r)^2(12) = (\frac{1}{3})\pi(\frac{1}{9}r^2)(12) = (\frac{12}{27})\pi r^2 = \frac{4}{9}\pi r^2.[/tex]

Thus, the expression for the volume of the new cone is (4 / 9) πr².

Answer:

5/8

Step-by-step explanation:

1-3/8=5/8

After 2.0 years, the 4.0 mg sample decays to 2.0 mg.

After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.

And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.

So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.

It takes for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain is 6 years.

It is the continuous disintegration of the matter by the emission of highly penetrating radiation associated with the nucleus.

Given

The half-life of isotope X is 2.0 years.

The half-life of isotope X is 2.0 years.

            Mass                                                 Time period

           4.0 mg                                                       0

           2.0 mg                                                       2

            1.0 mg                                                       4

           0.5 mg                                                       6

Thus, 6 years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain.

More about the half-life link is given below.

https://brainly.com/question/24710827

To calculate the length of the hypotenuse in a right triangle, apply the Pythagorean theorem: c = √(a² + b²). In an example with sides of 9 and 5 blocks, the hypotenuse would be approximately 10.3 blocks, accurate to three significant figures.

To find the length of the third side of a right triangle, known as the hypotenuse, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, the formula to calculate the length of the hypotenuse is c = √(a² + b²).

For example, if the lengths of the two sides are 9 blocks and 5 blocks, we can use this formula to find the length of the hypotenuse:

Note that the result is presented with three significant figures for precision. In real-world applications, such as finding the distance walked in city blocks, this provides a more accurate depiction of the distance.

Answer:

X=8y-5

Step-by-step explanation:

Let y be the inverse of x+5/8

Y=x+5/8

Cross multiply

8y=x+5

Substrate 5 from both sides

8y-5=x

Therefore x=8y-5

Answer:

A. Undefined will be your answer

Step-by-step explanation:

Answer: Good question, ill answer in the comments

Step-by-step explanation:

Answer:

money problems

Step-by-step explanation:

let's say your in accounted and the most you've made a week is 150 the inequality would be

ñ<150

Answer:

2.36 in.

Step-by-step explanation:

1 foot is equivalent to 1/80 in.

So 189 feet is equivalent to 189/80 in = 2.36 in.

The required sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum.

When adding the numbers 7 and -9, we follow the rules of addition with positive and negative numbers. To add a positive number and a negative number, we can think of it as subtraction. In this case, we have 7 + (-9), which is the same as 7 - 9.

To perform the addition, we subtract 9 from 7:

7 - 9 = -2

Therefore, the sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum. In this case, subtracting 9 from 7 gives us -2.

Learn more about sum here;

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Answer:

the correct answer is 5.4

Yo sup??

the correct answer to this question is option B ie

low frequency and low energy because

it's wavelenght is high so it's frequency will be low and

E=hv

where v is frequency

Hope this helps

Answer:

250÷4%= x per hour

Step-by-step explanation:

Final answer:

The situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour can be modeled using the equation is 260 cells.

Explanation:

To model the situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour, we use the formula for exponential growth:

N = N0ert

Where N is the future population size after time t, N0 is the initial population size, e is the base of the natural logarithm (approximately equal to 2.71828), r is the growth rate per unit of time, and t is the number of time units.

Here, N0=250 cells, r=0.04 (4% growth per hour, converted to decimal), and t will be the number of hours passed. Let's make t equal to 1 to see the number of cells after one hour:

N = 250e0.04(1)

After one hour, the Petri dish would have:

N = 250e0.04 ≈ 250(1.04081) ≈ 260 cells

Thus, this equation models the exponential growth of the cell population in the Petri dish over time.