A line intersects the point (-3,-7) and has a slope of -3. what is the slope intercept equation for this line?

The exponential function that represents the population is y = a*3^x.

What is exponential function?

The formula for exponential functions is y = ab^x, where b is the constant ratio and a  is the starting point. Observe that as the value of x increases by a constant amount, the value of y increases by a common ratio by looking at a table of ordered pairs. All exponential functions share this trait.

We have to find the exponential function for the given table.

Since,

Exponential function = ab^x

where,

a is the starting point

b is the common ratio.

Here,

Common ratio = 24/8 = 72/24 = 216/72 = 648/216 = 3

So, the function becomes,

Exponential function = y = a*3^x

Hence, the exponential function that represents the population is

y = a*3^x.

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Answer:

the axis of symmetry is 0 which is x=0

Step-by-step explanation:

Answer:

The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.

The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.

Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:

4n > 30 + n

Subtracting n from both sides gives us:

3n > 30

Dividing both sides by 3 gives us:

n > 10

Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.

Step-by-step explanation:

Answer: 1000

Step-by-step explanation:

i took this quiz before ! !

Answer:

-

Step-by-step explanation:

There needs to be more information. Where is the point at?

Answer:

Law of cosines:

[tex] {x}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) \\ = {12}^{2} + {15}^{2} - 2(12)(15) \cos(144) \\ = 144 + 225 - 360( - 0.809) \\ = 660.246 \\ x = 25.7[/tex]

answer:

yes, -3 is greater than -8

explanation:

-3 is closer to the 0 on a number line making it greater

hope this helped!

Answer:

69.4

Step-by-step explanation:

34 + 34 = 68

.7+.7=1.4

68+1.4= 69.4

Answer:

Yes, they are equivalent

Step-by-step explanation:

Tell whether the rates are equivalent.

Rate formula = Speed(miles)/Time(hour)

1)7 1/2 miles for every 3/4 hour

Hence

Rate = 7 1/2 miles ÷ 3/4 hour

= 15/2 ÷ 3/4

= 15/2 × 4/3

= 5 × 2

= 10 miles per hour

2) 1/2 mile for every 3 minutes

Time = 60 minutes = 1 hour

3 minutes = x

x = 3/60

x = 0.05 hour

Hence

Rate = 1/2 mile ÷ 0.05 hour

= 0.5 mile ÷ 0.05 hour

= 10 mile per hour

Therefore, both rates are equivalent

Answer:

1. 12x^2 +2xy

Step-by-step explanation:

1. 12x^2 +2xy

2. 21ab^2 +35ab

3. w^2+15w+ 14

4. m^2-12m+20

5. 2k^2+5k-3

6. -r^2-5r-6

7. 8y^2+26y+15

8. -2d^2-7d-5

9. (h+6)(h-4)=0

10. s^2-7s+12=0

11. -2d^2-7d-5

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

Answer:

z < 15

Step-by-step explanation:

z + 9 < 24

z + 9 - 9 < 24 - 9

z < 15

Answer:

z < 15

Step-by-step explanation:

To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.

If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15

Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.

For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.

Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute

And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.

And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.

From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.

The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.

Step-by-step explanation:

answer:

Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.

Detailed answer:

1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5

(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)

Answer:

B. 73

Step-by-step explanation:

An explanation is in the picture if you need it.

Answer:

Angle ADC = 7x - 6°

Step-by-step explanation:

4x - 12 + 3x + 6 = 7x - 6

Answer:

Step-by-step explanation:

Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:

Substitute the values and solve for x:

Find the value of ∠ADC:

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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Answer:

43.98

Step-by-step explanation:

have a nice day :)

Answer:

8 1/8

Step-by-step explanation:

1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)

3 times 4 + 3 = 15, so we get 15 over 4

4 times 8 + 3 = 35, so we get 35 over 8

Next I am going to give them a common denominator. (Their least common multiple is 8)

one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)

15/4 times 2/2 = 30/8

Now we add the two fractions (DO NOT ADD DENOMINATORS)

30/8 + 35/8 = 65/8

Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.

Answer:

$150

Step-by-step explanation:

100/8=12.5

12.5*12=150

Answer:

[tex]x \approx 729[/tex]

Step-by-step explanation:

Given

Let the number be x

So:

[tex]x + 10\sqrt x = 1000[/tex]

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

[tex]x = 625[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]625 + 10 *\sqrt{625}[/tex]

Take the square root of 625

[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]

[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]

[tex]625 + 10 *\sqrt{625} = 875[/tex]

Let

[tex]x = 729[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]729 + 10 * \sqrt{729}[/tex]

Take the square root of 729

[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]

[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]

[tex]729 + 10 * \sqrt{729} = 999[/tex]

At this point, we can conclude that x is approximately 729 because

[tex]999 \approx 1000[/tex]

So:

[tex]x \approx 729[/tex]

Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.

And last month she sold 32 gym memberships

We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:

32 memberships * $4.75 per membership = $152.00

To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:

$2,456.75 + $152.00 = $2,608.75

So, the total amount of money the trainer earned last month is $2,608.75

Step-by-step explanation:

Answer:

it is 8^2.

Step-by-step explanation:

8 ^ 3 = 8 x 8 x 8

8^3/8 = 8 x 8 x 8 / 8

you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2

Answer:

Solution given:

single positive exponent

[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]

single positive exponent is 8².

Note:

we have

[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]

Answer:

The answer is "4.8 and 463.011"

Step-by-step explanation:

Please find the complete question in the attached file.

Given:

side[tex]= 9.6 \ in\\\\[/tex]

let the radius of the ball

[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]  

The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]

The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]

Answer:

Step-by-step explanation:

a.3x-2

b.3x+2

c.3x-2

d.3x-2

so. the answer are a, c, d equivalent to 3x-2

Answer:

419 ft

Step-by-step explanation:

1063 ft is about 324002.4 mm

324002.4/477 to get the scale ratio. Which is 679.25:1

I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.

188*679.25=127699mm for one side.

Convert that back to ft and you get 418.959 which would just be 419 ft

Answer:

419 ft

Step-by-step explanation:

convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)

324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger

188 x 679.25 = 127699 mm

convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft