The area of Jordan's yard can be modeled by the expression 3x2 - 2x + 1. Jordan purchases additional land from his neighbors. The area
this land can be modeled by the expression 4x2 + 3x + 7. Which expression represents the new area of Jordan's yard

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

Learn more about margin of error here:

https://brainly.com/question/31154636

#SPJ1

Answer:

y=2/15

Step-by-step explanation:

8+(6/y)=53

We move all terms to the left:

8+(6/y)-(53)=0

Domain of the equation: y)!=0

y!=0/1

y!=0

We add all the numbers together, and all the variables

(+6/y)+8-53=0

We add all the numbers together, and all the variables

(+6/y)-45=0

We get rid of parentheses

6/y-45=0

We multiply all the terms by the denominator

-45*y+6=0

We add all the numbers together, and all the variables

-45y+6=0

We move all terms containing y to the left, all other terms to the right

-45y=-6

y=-6/-45

y=2/15

hope this helps.

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

EXPLANATION

Graph 1)

Domain: All real numbers

Range: All real numbers

Graph 2)

Domain: -1≤ x≤ 5

Range: -1≤ y ≤ 2

Given that twenty pairs of measurements were taken at random to estimate the relation between variables X and Y, you need to remember that, by definition:

You can identify that the residual plot has a pattern that looks like a parabola.

By definition, when the pattern of a residual plot has a clear pattern, then a line is not an appropriate model to fit the relation between the variables.

Therefore, in this case, the model is a non-linear model.

Hence, the answer is: Option B.

Answer: The scale factor tells us the ratio of the size of the model to the size of the actual object. In this case, the scale factor is 5:8, so the model is 5/8 the size of the actual object.

If we know that the actual width is 20 ft and we want to find the width of the model, we can set up an equation using the scale factor:

(Model width) / (Actual width) = 5/8

Cross-multiplying and solving for the model width, we get:

Model width = (Actual width) * (5/8) = 20 ft * (5/8) = 25/4 ft = 6.25 ft

So, the model width is 6.25 ft.

Step-by-step explanation:

According to the table, the 4th class consists of 16.5 to 21.9 hours spent on the computer per week. Therefore, the value of the lower class limit of the 4th class is 16.5

Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

Answer:150?

Step-by-step explanation:

The final expression after using a common factor is:

Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

We have,

one-sixth times x cubed times y plus five-sixths times x times y squared.

This can be written as:

(1/6)x³y + (5/6)xy²

Taking out (1/6)xy as the common factor.

(1/6)xy ( x² + 5y )

Thus the expression after using a common factor is:

one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

Learn more about expressions here:

https://brainly.com/question/4532853

#SPJ1

Answer:

Option c it's obvious

Step-by-step explanation:

Answer:

Okie when you do these you got to give all information

Step-by-step explanation: because people can help you instead of looking at a picture wonderin what they are they are supposed to do

The amount that Cameron is paid per hour, given the number of hours he worked, is $ 18 per hour

To find the payment that Cameron got per hour, you first need to find the number of hours that he worked.

This number of hours is:

= 4 pm  - 7 am

= 1600 hrs - 0700 hours

= 9 hours

The payment per hour is therefore:

= Amount Cameron paid / Number of hours worked

= 162 / 9

= $ 18 per hour

Find out more on wages per hour at https://brainly.com/question/4468523

#SPJ1

The rest of the question is:

How much was Cameron paid per hour worked?

━━━━━━━☆☆━━━━━━━

▹ Answer

0.5 = 1/2 and the rectangle with 3 cubes shaded in

0.6 = 60/100 and circle with three parts shaded in

0.8 = Rectangle with 8 cubes shaded and 4/5

▹ Step-by-Step Explanation

You can convert the fractions into decimals, and count the shaded parts for the shaded images.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

So there are 20 repeating digits.

The cycle will repeat three times.

The 61st digit shall be 2

the 62nd digit shall be 5

the 63rd digit shall be 3

etc.

75 divided by 20 is 3 remainder 15

So the answer is the 15th digit, which is 8

Step-by-step explanation:

Answer:

it can't be determined unless an specific diviser is present

Step-by-step explanation:

brainliest plz

Answer:

8 large glasses can be filled by a large bottle.

Step-by-step explanation:

First we calculate the volume of a small bottle:

Now we calculate the volume of a small glass:

" A small bottle fills 6 small glasses with no juice left over.", this means that

Then we calculate the volume of a large glass:

Finally we divide the volume of a large bottle by the volume of a large glass:

So 8 large glasses can be filled by a large bottle with juice left over.

Step-by-step explanation:

\(f(x) = 6 {x}^{2} - 4\)

\(g(x) = 2x + 2\)

\( \: \)

\( = (f - g)(x)\)

\( = f(x) - g(x)\)

\( = 6 {x}^{2} - 4 - (2x + 2)\)

\( = 6 {x}^{2} - 4 - 2x - 2\)

\( = 6 {x}^{2} - 2x - 4 - 2\)

\( = 6 {x}^{2} - 2x - 6\)

\((f - g)(x) = 6 {x}^{2} - 2x - 6\)

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

Answer:

7 / 10 14 / 20 21 / 30

Step-by-step explanation:

7 out of 10 is its simplest form the equivalent ratio of 7 * 210 * 2 equals 14 / 27 / 10 * 3 * 3 equals 21/30 letter answer

Part a: P(A) = 1/2; P(B) =  2/3; P(C) = 1/12; P(A ∩ B ∩ C) = 1/36.

Part b: Part b: A, B, and C independent events.

Rolling a dice twice has 36 possible results, hence the following is the sample space:

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

For the stated question-

Part a:  P(A), P(B),P(C), and P(A ∩ B ∩ C).

P(A) = 18/36 = 1/2

P(B) = 24/36 = 2/3

P(C) = 3/36 = 1/12

P(A ∩ B ∩ C) = 1/36

Part b: A, B, and C independent or not.

For the events to be independent,

P(A ∩ B ∩ C) = P(A).P(B).P(C)

P(A).P(B).P(C) = 1/2*2/3*1/12 = 1/36

As, P(A ∩ B ∩ C) = P(A).P(B).P(C).

Thus, the events are independent.

To know more about the sample space, here

https://brainly.com/question/24652200

#SPJ1

Answer: 3 I think

Step-by-step explanation:

Answer:

77.47°

75.96°

26.57°

Step-by-step explanation:

Given vertices of the triangle:

Find the vectors from A to B, B to C and A to C:

\(\begin{aligned}AB = B - A &=(x_B-x_A,y_B-y_A) \\&=(-3-(-2), 8-4)\\& = (-1, 4) \end{aligned}\)

\(\begin{aligned}BC=C-B &=(x_C-x_B,y_C-y_B)\\ &=(6-(-3),8-8)\\&=(9,0)\end{aligned}\)

\(\begin{aligned}AC = C - A &=(x_C-x_A,y_C-x_A)\\&= (6-(-2), 8-4) \\&= (8, 4)\end{aligned}\)

Use Pythagoras Theorem to calculate the magnitudes of the vectors:

\(|AB| = \sqrt{(-1)^2+4^2}=\sqrt{17}\)

\(|BC|=\sqrt{9^2+0^2}=9\)

\(|AC| = \sqrt{8^2+4^2}=4\sqrt{5}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Dot Product of two vectors}\\\\$a \cdot b=|a||b| \cos \theta$\\\\where:\\ \phantom{ww}$\bullet$ $|a|$ is the magnitude of vector a. \\ \phantom{ww}$\bullet$ $|b|$ is the magnitude of vector b. \\ \phantom{ww}$\bullet$ $\theta$ is the angle between $a$ and $b$. \\ \end{minipage}}\)

Rearrange the dot product formula to make θ the subject:

\(\implies \theta=\cos^{-1}\left(\dfrac{a \cdot b}{|a||b|}\right)\)

Use the rearranged dot product formula to find the angles between two pairs of vectors.

\(\boxed{\begin{minipage}{4 cm}\underline{Dot Product}\\\\$\textbf{u} \cdot \textbf{v}=u_1v_1+u_2v_2$\\\\where:\\ \phantom{ww}$\bullet$ $\textbf{u}=\left\langle u_1,u_2 \right\rangle$ \\\phantom{ww}$\bullet$ $\textbf{v}= \left\langle v_1,v_2 \right\rangle$ \\ \end{minipage}}\)

Angle A

\(\implies A=\cos^{-1}\left(\dfrac{AB \cdot AC}{|AB||AC|}\right)\)

\(\implies A=\cos^{-1}\left(\dfrac{-1 \cdot 8+4 \cdot4}{\sqrt{17} \cdot 4 \sqrt{5}}\right)\)

\(\implies A=\cos^{-1}\left(\dfrac{8}{4 \sqrt{85}}\right)\)

\(\implies A=77.47^{\circ}\; \sf (2 \; d.p.)\)

Angle C

\(\implies C=\cos^{-1}\left(\dfrac{BC \cdot AC}{|BC||AC|}\right)\)

\(\implies C=\cos^{-1}\left(\dfrac{9 \cdot 8+0 \cdot4}{9 \cdot 4 \sqrt{5}}\right)\)

\(\implies C=\cos^{-1}\left(\dfrac{72}{36 \sqrt{5}}\right)\)

\(\implies C=26.57^{\circ}\; \sf (2 \; d.p.)\)

Interior angles of a triangle sum to 180°.

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-77.47^{\circ}-26.57^{\circ}\)

\(\implies B=75.96^{\circ}\)

Therefore, the interior angles of the triangle with the given vertices are:

idkStep-by-step explanation:

Answer:

A. Zero points of intersection

Step-by-step explanation:

Answer:

Dont mind, just grabbing points

Step-by-step explanation:

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

\(\mathbf{Rate =15}\)

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

\(\mathbf{y = Rate \times x}\)

Substitute 15 for Rate

\(\mathbf{y = 15\times x}\)

\(\mathbf{y = 15x}\)

The above equation means that:

\(\mathbf{(x,y) = (0,0)(1,15),(2,30)....}\)

The graph that represents the above ordered pair is graph (a).

Read more about graphs at:

https://brainly.com/question/20853486

Answer:

im lost

Step-by-step explanation:

;;..