I just need help with this graph, thanksWrite a system of equations for the shaded region

Answer:

-5/12

Step-by-step explanation:

Answer: 3 1/12

Step-by-step explanation: First We Would Do 2 1/2 + -7/6 First. We Would Get 1 1/3 Because We Change The Mixed Fractions Into Improper Fractions. So We Would Do 5/2 + - 7/6. We Would Then Find A Common Denominator Which Would Be 12. So 7/6 Would Be 14/12 & 5/2 Would Be 30/12. If You Did The Math Correctly You Would Get 1 1/3. Now 1 1/3 - 1 3/4 Would Be 3 1/12. You Would Change The Fractions To Improper Fractions And Then Subtract. You Would Also Need To Find The Common Denominator Which Is 12.

Hoped This Helped!

The statements about the new prism that are true include the following:

A. The new prism will have a length of 5 because 3 + 2 = 5.

B. The new prism will have a width of 4 because 2 + 2 = 4.

E. Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

Volume = 3 × 2 × 1

Volume = 6 cubic inches.

When the dimensions of the original rectangular prism is increased by 2 inches, its volume is given by;

Volume = 3 × 2 × (1 + 6)

Volume = 42 cubic inches.

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\((\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4\)

Step-by-step explanation:

(4, 4) and (1, -2).

(x1,y1) and (x2,y2)

slope=(y2-y1/x2-x1)

m= -2-4/1-4

m=2

slopeintercept form

y=2x-4

point slope form

y-4=2(x-4)

Answer:

The required forms of 314, 207

1. 3 lakh fourteen thousand two hundred seven. (word form)

2. 300000 + 10000 + 4000 + 200 + 7 (expanded form)

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

B. The unit rate of change of y with respect to x is 1.4

C.  The slope of the line is 7/5

D. A change of 2 units in x results in a change of 2.8 units in y

The slope intercept form of the equation of a straight line is;

y = mx + b

where;

m is the slope.

b is the y-intercept.

Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.

A. The equation represents a proportional relationship;

This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.

B. The unit rate of change of y with respect to x is 1.4;

This is true because when we divide both sides by 1.4, we will get;

y/x = 1.4

C.  The slope of the line is 7/5;

This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.

D. A change of 2 units in x results in a change of 2.8 units in y;

This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.

E.  A change of 3 units in a results in a change of 1.2 units in y;

This means that slope = 1.2/3

This is not equal to our given slope and so is not true.

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It would take 18 days for 4 workers to complete the job.

Step-by-step explanation:

As d goes up, w goes down by the same amount.

X = 9*8 = 72

18*4 = 72

likewise, 2*36 = 72

3*24 = 72

6*12 = 72

And so on....

Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

\(A1=x*x=x^{2} units{2}\)

the area of the remaining piece of paper is equal to

\($A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$\)

so

\($x^{2}-2 x=120$$x^{2}-2 x-120=0$\)

therefore, the side length of the original square is x2 − 2x − 120 = 0

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Answer:

7.2

Step-by-step explanation:

The rate of change over the interval 15 ≤ x ≤ 18 is equal to 2/3 or 0.67.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function y(x) over the interval [15, 18]:

a = 15; g(a) = 3

b = 18; g(b) = 5

Substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (5 - 3)/(18 - 15)

Average rate of change = 2/3

Average rate of change = 2/3 or 0.67.

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Answer:

its latter A

Step-by-step explanation:

i hope its help

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*(\(\frac{[(1+r)^{n} - 1]}{r}\))

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * \((\frac{[(1.02)^{20} - 1]}{0.02})\)

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

Answer: B. 5 pieces

Step-by-step explanation:

36.25 + 2.75 = 39.00 + 2.75 = 41.75 + 2.75 = 44.50 + 2.75 = 47.25 + 2.75 = 50

Answer:

x=-11

Step-by-step explanation:

x+8=-3

x=-3-8 :- collect like term

since we are adding two negative numbers, we will let the number be negative but add them.

x=-11

Hope it helps :)

Answer:

x=-11

Step-by-step explanation:

x+8=-3

collect like terms;

x=-3-8

x=-11

Answer:41.25

Step-by-step explanation:

22/8 equals 2.75. Multiply the distance the car can travel by 2.75 to find how many miles it can run on with 22 gallons of gas. The answer will be 41.25 mi. Hope this helps :)

\( {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.\)

The value of x = -2 and -3 .

Answer:

hope it helps...

it has both co ordinate and factorization

Answer:

9%

Step-by-step explanation:

To find the increased amount, subtract this month sales from the last month sales.      

Increased amount = 196200 - 180000

                              = £ 16,200

Now, find the increased percentage using the formula,        

\(\boxed{\bf Increased \ percentage = \dfrac{Increased \ amount}{Original \ amount}*100}\\\\\)

                                        \(= \dfrac{16200}{180000}*100\\\\= 9\%\)

Answer: Yes, this is a function!

Step-by-step explanation: Here are the requirements for determining if a 2-variable equation is a function or not.

2.

Each input should correspond to only one output

. In our case, any value of x you put into this equation only gives one value of y. We can verify this graphically using a simple test called the

vertical line test.

To do this, graph the function with the x axis being the horizontal axis and the y axis being the vertical axis (this matters!) In our case, this will be a parabola opening upwards. The test says that if I can draw vertical lines through every part of the graph and each vertical line only crosses the graph once, the equation is a function. In our case, I can draw vertical lines through everywhere in a parabola and they will only cross once. This shows that we have a function!

Hope this helps!

Bye for now,

Iz

Answer:

The answer would be 15!!  <3

Answer:

separate the x from the numbers it will make the equation easier

Step-by-step explanation:

scatter plot s are similar to line graphs in that they start with mapping quantitive data points. The difference is that with a scatter plot, the decision is made the the individual points should not be connected directly together with a line but, instead express a trend

Answer:

The relationship between the length of an arc, the radius of the circle, and the measure of the central angle that intercepts the arc is given by the formula:

length of arc = (central angle measure / 360°) x 2πr

We can use this formula to find the measure of the central angle, given the radius and the length of the intercepted arc. Substituting r = 6 and length of arc = 47 into the formula, we get:

47 = (central angle measure / 360°) x 2π(6)

Simplifying, we get:

47 = (central angle measure / 360°) x 12π

Dividing both sides by 12π and multiplying by 360°, we get:

central angle measure = (47 / 12π) x 360°

Using a calculator to approximate π to three decimal places, we get:

central angle measure ≈ 56.67°

Therefore, the measure of the central angle that intercepts an arc of length 47 on a circle with radius 6 is approximately 56.67 degrees.

She paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Given that Jenelle bought a home for $ 320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years, to determine how much money did Jenelle pay as a down payment, what was the original amount financed, what is her monthly payment, and the total amount of money she will spend on this home, the following calculations must be made:

Therefore, she paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

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Answer:

Step-by-step explanation:

Given sinα=−2/3, before we can get secα, we need to get the value of α first from  sinα=−2/3.

\(sin \alpha = -2/3\)

Taking the arcsin of both sides

\(sin^{-1}(sin\alpha) = sin^{-1} -2/3\\ \\\alpha = sin^{-1} -2/3\\ \\\alpha = -41.8^0\)

Since sin is negative in the 3rd and 4th quadrant. In the 3rd quadrant;

α = 180°+41.8°

α = 221.8° which is between the range 270°<α<360°

secα = sec 221.8°

secα = 1/cos 221.8

secα = 1.34

Answer:

27

Step-by-step explanation:

Input 5 for all x-values.

If that is an equal sign...

1/9*(3^5)

With PEMDAS, exponents are done before multiplication.

1/9*243

= 27

Given what we know, we can say that it is possible for 9 out of 10 students to score above average, but it is not possible for all 10 to score above average.

In order to calculate the average score of the students, we must use addition.

We have to add all of the scores, in this case, 10 scores, and then divide by the number of scores.

One example of 9 out of 10 students scoring above average would be:

\(1 + 9 +9+9+9+9+9+9+9+9 = 82\)

\(82/10 scores = 8.2\)

This would leave us with an average score of 8.2 and 9 out of 10 students that have scored higher.

Given the way in which we calculate average scores, it is impossible for all 10 students to score above average since even if all 10 students get a perfect score, that would then become the average.

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E. None of the above solutions

The probability of 800 or more heads out of 1600 tosses of a fair coin falls into none of the specified ranges. To compute exact probabilities, we can use the normal distribution to approximate the binomial distribution of the numbers.

The average number of heads in 1600 flips is 800, with a standard deviation of about 25.8. Using the normal distribution, we can compute the probability of more than 800 tables as follows:

P(X > 800) = 1 - P(X <= 800)

Using a standard regular table or calculator, we find that P(X <= 800) is approximately 0.5. So the probability of getting more than 800 heads is 1 - 0.5 = 0.5 or 50%. Since this is not in any given range, the correct answer is

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Ruiz would get back 55 dollars 0 cents

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Answer:

5.8 and 7.4

Step-by-step explanation: