The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019?
A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

Answer:

D.....

Step-by-step explanation:

all real number

Answer:

pretty sure its c

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

20 units (I used units because that's what i was taught when there isn't a specific unit)

Step-by-step explanation:

If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.

6x - 3 = 4x + 9

And now we simplify.

6x - 3 = 4x + 9

-4x         -4x

--------------------

2x - 3 = 9

    +3     +3

-------------------

2x = 12

÷2      ÷2

---------------

x = 6

To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20

Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Answer:

one pound is equal to 16 oz

(3x16= 48)

(48+7=55)

55 ounces

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

[tex]\frac{16}{8}:\frac{8}{8}[/tex]

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

Answer: 62

Step-by-step explanation:

Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.

28+90=118

180-118=62

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:

2sqaured + 24

Step-by-step explanation:

7/200 as a decimal is 0.035

Simply divide the numerator by the denominator:

= 7/200

= 7 ÷ 200

= 0.035

Answer:option 2

Step-by-step explanation:

Answer:

im pretty sure its option number 2

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

The given line y = -2x +30 is a straight line as it is written in the

form y = mx + b.

The graph of the line y = -2x +30 is also straight and attached below.

Step-by-step explanation:

Given the equation

y = -2x +30

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Writing the equation in the slope-intercept form

y = -2x +30

y = mx + b

Thus,

m = -2

b = 30

Thus, the given line y = -2x +30 is a straight line as it is written in the

form y = mx + b.

The graph of the line y = -2x +30 is also straight and attached below.

Answer: No, there isn't a proportional relationship.

Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.

Answer:

3:2 is the proportional relationship

Step-by-step explanation:

Answer:

$80.49

Step-by-step explanation:

39.95 + 17.99 x 2

17.99 x 2 = 35.98

35.98 + 39.95 = 75.93

75.93 + 6% = 80.49

Answer:

D

Step-by-step explanation:

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x-6+35 = 3x+29

6x - 3x = 29-29

3x = 0

x=0

Answer:

(11, 18) or x = 11, y = 18

Step-by-step explanation:

I've deduced that equation 1 is y = x + 7 (just by the pattern)

and the second one is y = 26.25 - 0.75x

Solving this system of equations you get x = 11 and y = 18

Answer:

x = 11 and y = 18

Step-by-step explanation:

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

The required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Step-by-step explanation:

Given the zeros

-4, -1, -3

Zeros can be written as:

x = -4, x = -1, x = -3

Finding the factors

x = -4

x +4 = 0

x = -1

x + 1 = 0

x = -3

x + 3 = 0

Thus, the factor are:

(x+4) (x+1) (x+3)

The original function can be computed by multiplying the factors

[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]

as

[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]

so the expression becomes

[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]

Distribute parentheses

[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]

[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]

[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]

Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]

[tex]x^3+8x^2+15x+4x+12 = 0[/tex]

Add similar elements: [tex]15x+4x=19x[/tex]

[tex]x^3+8x^2+19x+12=0[/tex]

Thus, the required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.

Answer:

C. 23

Hope your grade raises

Step-by-step explanation:

c