The population of a town is represented by the function P(x) = 5000 − 250x, where "x" is the number of years that elapse since 2018. This function model overlooked 200 homeless people and did not include the fact that an average of 50 people per month moved in as people left. Create a new function H(x) that includes this extra information. Graph this new function. Which statement is correct? A) The new function is H(x) = 5200 − 200x. B) The domain of H(x) is [0, 20] and the range is [0, 5200]. C) The x-intercept indicates the population will be zero in 2038. D) The slope of H(x) indicates the population is decreasing at an average rate of 300 people per year.

Answer:

No Solution.

Step-by-step explanation:

3x-7=3x+1

3x-3x-7=1

0-7=1

-7=1

no solution

Answer:

A. 2- i

Step-by-step explanation:

Answer:

2 + i

Step-by-step explanation:

Answer:

$96,000

Step-by-step explanation:

To find Jen's annual salary, divide Bill's annual salary of $64,000 by 2/3, resulting in Jen's salary being $96,000.

To calculate Jen's annual salary based on the information that Bill's annual salary is 2/3 of Jen's, first express Bill's salary as a fraction of Jen's:

Therefore, Jen's annual salary is $96,000.

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

Answer:

14 +(9×x) = y x being the number of pizzas that are not the first one and y is the amount it all cost

Answer:

See explanation below:

Step-by-step explanation:

Here we want to express the number of pizza delivered. Lets try to understand the case.

If we buy one pizza (p1) the cost is 14 because of the delivery plus 9 for the cost of the pizza. So:

p1 = 14 + 9 = 23

If we buy 2 pizzas (p2) we have to pay 14 for the delivery and 9 for each pizza:

p2 = 14 + 9 + 9 = 14 + 2*9 = 32

If 3 pizzas are bought (p3) the reasoning is the same, 14 for the delivery and 9 for each pizza:

p3 = 14 + 9 + 9 + 9 = 14 + 3*9 = 41

Here we can see a pattern: for any amount of pizzas n the cost will be 14 plus n-times 9, the price of a pizza. It is:

pn = 14 + 9*n

But we can separate the last equation in such a way:

pn = 14 + 9*(n-1) + 9 , as 9*(n-1) + 9 = 9*n

But if our general formula it true, the first to terms on the right are the vost of buying n-1 pizzas, so:

pn = pn-1 + 9

We can keep on separating terms as we did to arrive to this form, this is, separating the 9n in  9*(n-2) + 9*2,  9*(n-3) + 9*3, ...,  9*(n-m) + 9*m for any m < n . Here I will keep pn = pn-1 + 9 as the Recursive Formula, but you could use other formulation with, e.g., pn-2, pn-3, etc, using the above recursion.

Now, the explicit formula is such that gives as the value of any amount, finding all the terms of the sequence with those not depending on previous terms (contrary to the recursive). This formula was showed above and is: pn = 14 + 9*n. This is, given any number of pizzas we can find the cost without knowing the cost of previous values.

So, we have:

Recursive: pn = pn-1 + 9

Explicit: pn = 14 + 9*n

Answer: 7.) Wrong Question

8.) 8

(9.) - 2

Step-by-step explanation:

7.) 10n - 11 = 3 + 4n + 6n

Collect like terms

10n - 4n - 6n = 3 + 11

10n - 10n = 14

It's not possible to have zero n = 14

8.) -8(k + 4) = - 96

Exland the bracket

-8k - 32 = - 96

Collect like terms

-8k = - 96 + 32

-8k = - 64

Divide through by -8

-8k/-8 = - 64/-8

k = 8

9.) -6(2k + 5) + 7k = -6 + 7k

Open the bracket

-12k - 30 +7k = -6 + 7k

Collect like terms

-12k + 7k - 7k = - 6 + 30

-12k = 24

Divide both sides by -12

-12k/-12 = 24/-12

k = -2

Answer:240 km

Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km

I think that's the answer I'm not sure but hope this helps ;)

Answer:

[tex]x=16[/tex]

 Lenght of the equal sides: [tex]71\ units[/tex]

Step-by-step explanation:

You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.

By definition, Isosceles triangles have two equal angles and two equal sides.

Based on this, you can write the following equation:

[tex]9x-73=3x+23[/tex]

Solving for "x", you get this value:

[tex]9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16[/tex]

Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:

[tex]3(16)+23=71\ units[/tex]

Answer:

X= 0

Step-by-step explanation:

Step-by-step explanation:

(3)(7)(13) = 273

(3)(3)(7)(13) = 819

(3)(7)(7)(13) = 1911

(3)(7)(13)(13) = 3549

(3)(3)(3)(7)(13) = 2457

(3)(7)(7)(7)(13) = 13377

(3)(7)(13)(13)(13) = 46137

....

The solution on the graph is the coordinate of the point where both lines intersect

Given the equation of two lines expessed as;

y = -3x + 3 and y = 12 x - 4

Since both expressions ara y values, equating both will give;

-3x + 3 = 12x - 4

-3x - 12x = -4 - 3

-15x = -7

x = 7/15

Substitute x = 7/15 into any of the equatons;

y = -3x + 3

y = -3(7/15) + 3

y = -7/5 + 3

y = 8/5

Hence the solution as an ordered pair is (7/15, 8/15)

The solution on the graph is the coordinate of the point where both lines intersect as shown in the graph below;

Learn more on graphs here: https://brainly.com/question/18872003

Answer:

8(3+4x)

Step-by-step explanation:

it it can be pulled out of both 24 and 32.

Answer: 275

Step-by-step explanation:

Let the total number of hamburger be x and the total number of cheeseburgers be y. That is

x + y = 500 ................... equation 1

Since there were 50 fewer cheeseburgers sold than hamburgers, this means that the number of hamburgers sold is more than cheeseburgers by 50 , that is

x - y = 50 ............. equation 2

solving the resulting linear equation by substitution method;

From equation 2 , make x the subject of the formula , that is

x = 50 + y ................ equation 3

substitute equation 3 into equation 1 , we have

50 + y + y = 500

50 + 2y = 500

2y = 500 - 50

2y = 450

y = 450/2

y = 225

substitute y = 225 into equation 3 to find the value of x. we have

x = 50 + y

x = 50 + 225

x = 275

Therefore 275 hamburgers were sold

Answer:

24 : 8 ≡ 39 : 13

Step-by-step explanation:

We are given two proportion relation and we have to determine whether they are equivalent or not.

Now, the first proportion is 24 : 8

So, the simplified proportion will be 24 : 8 = 8 × 3 : 8 = 3 : 1

Again the second proportion is 39 : 13

So, the simplified proportion is 39 : 13 = 13 × 3 : 13 = 3 : 1

Therefore, the two given proportions are equivalent i.e. 24 : 8 ≡ 39 : 13. (Answer)

Answer: 2/6 or 1/3

Step-by-step explanation:

2/3 = 4/6. 1 /6 Two times is 2/6 so by subtracting you should get 2/6 or 1/3

Answer:

so if all of the awnsers are whole numbers it is going to be 12/12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Unit rate is a rate that has 1 as denominator.

Given the rate: 6 inches / 12 hours, we have to divide numerator and denominator by 12 to transform the denominator in 1, as follows:

[tex]\frac{6}{12} = \frac{6/12}{12/12} =[/tex] 0.5 inches/hour

Answer:

12x + 18y

Step-by-step explanation:

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Answer:

A=28.25 is the rounded form of the answer.

A = 28.245673384359 in^2

Answer:

Area: 28.25

Step-by-step explanation:

Area = Circumference^2

4 (pi)

18.84^2 = 354.9456

4(pi) = 12.5663706144

354.9456 ÷ 12.5663706144 = 28.2456733843

Rounded to the nearest hundreth, the 5 in the thousandths place converts the 4 in the hundreths place into 5.

Answer:

Step-by-step explanation:The sum of three consecutive odd numbers is 183. Find the numbers. 57; 59; 67 59; 61; 63 60; 61; 62 65; 67; 69.

Answer:

h=24

Step-by-step explanation:

h/2+3=3(h/4-1)

h/2+3=3h/4-3

h/2-3h/4=-3-3

2h/4-3h/4=-6

-h/4=-6

-h=-6*4

-h=-24

h=24

Answer:

The exact volume of a cone is 10 yd³.

Step-by-step explanation:

Given:

Height of cone (h) is 6 yd and base (b) is 5 yd.

Now, to get the volume we need to find the radius.

So, to find radius we put the formula of base:

Let the radius be [tex]r[/tex]

Base=[tex]\pi r^2[/tex]

[tex]b=\pi\times r^{2}[/tex]

[tex]5=\pi\times r^{2}[/tex]

Dividing both sides by π and using square root on both the sides:

[tex]5\div \pi=(\pi \times r^{2}) \div \pi[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]\frac{5}{\pi}=r^{2}[/tex]

[tex]r^{2}=\frac{5}{\pi}-----1[/tex]

Now, putting the formula for getting the volume (v) of cone:

Volume = [tex]\pi r^2\frac{h}{3}[/tex]

[tex]v=\pi\times r^{2}\times \frac{6}{3}[/tex]

[tex]v=\pi\times r^{2}\times 2[/tex]

Substituting the value of [tex]r^2[/tex] from equation (1), we get:

[tex]v=\pi\times \frac{5}{\pi}\times 2[/tex]

[tex]v=10[/tex] yd³

Volume of cone is 10 yd³

Therefore, the exact volume of a cone is 10 yd³.

Answer:

The answer is yes :)

Step-by-step explanation:

Answer:

Maura runs faster

Step-by-step explanation:

To avoid decimals ,multiply all by 100

Maura 500 mi/125h = 4 mi/h

Ava 300 mi /83 h =3.61445.....mi/h

Answer:

still from 2019

wsp my dude

Step-by-step explanation:

Answer:

66.67%

Step-by-step explanation:

Marie's earnings at a new job : $15 per hour

Her earnings during training : $10 per hour

percentage of Marie's regular rate earned by her during training

                 = [tex]\frac{Her\ earnings\ during\ training}{Her earning\ at\ a\ new\ job}[/tex]×100

                 = [tex]\frac{10}{15}[/tex]×100

                 = [tex]\frac{200}{3}[/tex]

                 = 66.67%

∴percentage of Marie's regular rate earned by her during training = 66.67%

Final answer:

To find what percentage of Marie's regular rate she will earn during training, divide her training rate by her regular rate and multiply by 100%.

Explanation:

Marie will earn $10 per hour during training. Her regular rate is $15 per hour. To calculate what percentage of her regular rate she will earn during training, we use the formula: percentage = (training rate / regular rate) * 100%. Plugging in the values, we get (10 / 15) * 100% = 66.67%. Therefore, Marie will earn 66.67% of her regular rate during training.

7.

y + 8x = -2

f(x) = y = -8x - 2

f(0)=-2, f(1)=-10, f(2)=-18, f(-2)=14

8.

12x + 3y = 15

3y = -12x + 15

f(x) = y = -4x + 5

f(-1)=9, f(0)=5, f(1)=1

9.

y - 3x = 9

f(x) = y = 3x + 9

f(-2)=3, f(0)=9, f(2)=15

10.

0.4y + 2x = 1.2

4y + 20x = 12

4y = -20x + 12

f(x) = y = -5x + 3

f(-3) = 18, f(0)=3

Answer:

slope is 1 and y-intercept is 3

Step-by-step explanation:

equation is in the format y=mx+c

c = y-intercept

m = slope

if there is no  number in front of x it is assumed that 1 is in front of x

Answer:

The slope is 1 and the y-intercept is 3

Step-by-step explanation:

y = x+3 has the form y = mx + b.  If we compare these two equations, it becomes readily apparent that m = 1 and b = 3.

The slope is 1 and the y-intercept is 3 (or    (0, 3)     )

A graph of the line with slope 2/5 and passing through the point (-2, 4) is shown on the coordinate plane in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

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

Where:

At data point (-2, 4) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:

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

y -  4 = 2/5(x - (-2))  

y -  4 = 2/5(x + 2)

y = 2/5(x) + 4/5 + 4

y = 2/5(x) + 24/5

Read more on point-slope here: brainly.com/question/24907633

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Answer:lll(3) Quadrant lll

Step-by-step explanation:Quadrant 3 is the quadrant where the imaginary part of a number and the real part of a number are both negative and in this number they both are.

Answer:

y = 2 over 3 x + 5

Step-by-step explanation:

m= y2-y1/x2-x1

m= (9-7)/(6-3)

m=2/3

y=mx+b

y= 2/3x+b

(3,7)

7=2/3(3)+b

7=6/3+b

7=2+b

5=b

b=5

y=2/3x+5