Solve the following system by graphing and identify the point of intersection.

Image shows the answer choices and question:) Thank you

Step-by-step explanation:

When moving left, subtract from the x-coordinate and when moving right, add in the x-coordinate. When moving down, subtract from the y-coordinate and when moving up, add in the y-coordinate.

1) Given point = (0, 0). 3 units right and 4 units down means (0+3, 0-4) = (3, -4).

2) Given point = (5, 2). 4 units left and 2 units down means (5-4, 2-2) = (1, 0).

3) Given point = (-6, -1). 8 units right and 5 units up means (-6+8, -1+5) = (2, 4).

4) In Quadrant II, the x-coordinate is negative and the y-coordinate is positive. So taking R = (-6,6). 2 units right and 6 units down means (-6+2, 6-6) = (-4, 0).

5) In Quadrant IV, the x-coordinate is positive and the y-coordinate is negative. So taking R = (6,-6). 7 units left and 4 units up means (6-7, -6+4) = (-1, -2).

Answer:

a = 3/2

Step-by-step explanation:

Multiply both sides by -3

Simplify

Divide both sides by -4

Take a look at the photo:

Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:

[tex]\boxed{A. \ 1.50h+4}[/tex]

From the problem, we know the following data of the problem:

Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:

Step 1: Since we have a fixed price, this value will appear in our expression:

[tex]4[/tex]

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

[tex]1.50h[/tex]

Finally, we can write total cost (C) as the sum of these two expressions:

[tex]C=1.50h+4[/tex]

Finally, our correct option is A:

[tex]\boxed{1.50h+4}[/tex]

5 hours

Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

[tex]C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5[/tex]

Finally, he spent 5 hours at the beach

Answer:

Step-by-step explanation:

You take the upaid balance of $110 and multiply it by 2%

which will give you $2.20. Then you add the two together and you get your answer of $112.20.

$110.00 x 2% = $2.20

$110.00

   +2.20

$112.20

The new balance on the charge account after applying a 2% finance charge to the unpaid balance of $110 is $112.20.

The student is asking about calculating the new balance on a charge account after a monthly finance charge is applied. To find this, we use the original balance and calculate the finance charge based on the given percentage. Since the unpaid balance is $110 and the monthly finance charge is 2%, we compute the finance charge as $110 × 0.02 = $2.20. Adding this to the unpaid balance gives us the new balance: $110 + $2.20 = $112.20.

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Given

Substitute m with -3

a = -3*2 + 2

a = -6 + 2

a = -4

Answer

The value of a when m = -3 is -4

Answer:

=11

Step-by-step explanation:

The equation given is a=m²+2

To find a when m= -3 , we substitute for m in the equation.

a=(-3)²+2

=9+2

=11

Therefore a=11 when m is -3

Answer:

placement plan

Step-by-step explanation:

<3

As the senior marketing rep, Jake needs to develop a marketing plan. This plan would outline the business's advertising and marketing efforts for the year, including goals, strategies, tactics, a market analysis, and a budget.

Jake, as the senior marketing rep for a new chain of upscale hotels, is tasked with creating a marketing plan. A marketing plan is a comprehensive document or blueprint that outlines a company's advertising and marketing efforts for the coming year.

It would detail the business's marketing goals, the strategies and tactics to achieve those goals, an analysis of the current market situation, and a budget for the marketing activities. For an upscale hotel chain, it might include strategies such as premium pricing, high-quality service, and targeted advertising.

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To simplify the expression sin² X - sinX - 2 / sinX - 2, we need to factor the numerator and denominator separately and then cancel out the common factor of sin(X) - 2. The equivalent expression is sin(X) + 1.

To simplify the given expression, we can factor the numerator and denominator separately and then cancel out common terms. The numerator can be factored as (sin(X) - 2) (sin(X) + 1), and the denominator can be factored as (sin(X) - 2). By cancelling out the common factor of (sin(X) - 2), we are left with (sin(X) + 1) as the equivalent expression.

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Answer:

you subtract the exponents and divide the bases

Answer:

B, irrational

Step-by-step explanation:

We know that π is irrational, since it can not be written as a division between  natural numbers (a sub class of Real numbers called N), it's value is 3,1415(a whole bunch of decimals after this)

If you remove the decimal part of π by subtracting the integer part of it, that is the number 3. the result will still being and irrational number

Since π= 3(the rational part) +0,1415... (the irrational part)

The resut of π-=3= 0,1415...

Answer:

B). Irrational

If you are doing this on khan academy this should work

Step-by-step explanation:

Answer:

B. 24

Step-by-step explanation:

Subtract numbers from left to right.

[tex]\displaystyle 25.73-2.19=23.54[/tex]

Round to the nearest tenths.

[tex]\displaystyle 23.54=24[/tex]

24 is the correct answer.

Answer:

B. 24

Step-by-step explanation:

Estimation:

25.73 - 2.19 = 24

Answer:

41F

Step-by-step explanation:

41-32=9

9*5/9=5

Answer:

41 degrees F.

Step-by-step explanation:

C = 5/9(f -  32)

5 = 5/9 (f - 32) Multiply both sides by 9/5:

5 * 9/5 = f - 32

9 = f - 32

f = 9 + 32

= 41.

Answer:

2 and 3

Step-by-step explanation:

Answer:

The solution to the set of inequalities is on the shaded regions.For example point (10,10)

Step-by-step explanation:

The equations are

[tex]y>\frac{1}{3} x+5\\\\\\\\y<\frac{1}{3} x-1[/tex]

plot the equations on a graph tool as shown below and visualize the solution on the shaded areas.

The system of inequalities y>1/3x+5 and y<1/3x-1 has no solution (parallel lines).

Suppose there is inequality given as: y ≥ f(x)

The region it covers is the region of value pairs (x,y) for which this inequality holds true.

We've to draw the region covered by it.

For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).

The system of inequalities are;

y > 1/3x + 5

The solution of inequality A is the shaded area below the dashed line

y = 1/3x + 5

The slope of line is m = 1/3

Similarly,

y < 1/3x - 1

The solution to inequality B is the shaded area below the dashed line

y = 1/3x - 1

The slope of line is m = 1/3

Thus, The system of inequalities y>1/3x+5 and y<1/3x-1 has no solution (parallel lines).

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Answer:

(0,0),(0,15),(20,25),(40,0)

Step-by-step explanation:

we know that

The feasible region is a quadrilateral

Let

A,B,C and D the vertices of the feasible region

see the attached figure

Observing the graph we have that

The coordinates of point A are (0,0)

The coordinates of point B are (0,15)

The coordinates of point C are (20,25)

The coordinates of point D are (40,0)

therefore

The answer is

(0,0),(0,15),(20,25),(40,0)

Answer:

A

Step-by-step explanation:

(0,0),(0,15),(20,25),(40,0)

Answer:

7, -4

Step-by-step explanation:

The zeros are just another name for the x intercepts

7, -4

Answer:

[tex]\frac{1}{128}[/tex]

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio, hence

[tex]a_{10}[/tex] = 4 × [tex](\frac{1}{2}) ^{9}[/tex] = 4 × [tex]\frac{1}{512}[/tex] = [tex]\frac{1}{128}[/tex]

Final answer:

The tenth term of the geometric sequence with the first term 4 and the common ratio of 1/2 is calculated using the formula for the nth term. Substituting the given values into the formula and simplifying yields the tenth term as 1/128.

Explanation:

To find the tenth term of a geometric sequence, we use the formula for the nth term in a geometric sequence which is an = a1 x r(n-1), where a1 is the first term, r is the common ratio, and n is the term number.

In this case, the first term a1 is given as 4 and the common ratio r is 1/2. To find the tenth term, we substitute n with 10 in the formula:

a10 = 4 x (1/2)(10-1)

This simplifies to:

a10 = 4 x (1/2)9 = 4 x 1/512 = 4/512 = 1/128

Therefore, the tenth term of the geometric sequence is 1/128.

Answer:

20 inches squared

This is because the area of a triangle is height times base divided by 2.

So it is 10*4/2, so the answer is 20 inches squared.

The area of the right angle triangle is 20 square inches.

The area of a right angle triangle is given by the formula,

Area = 1/2 * base * height .

where the base and height are the legs of the given triangle.

It is given that the legs of a right triangle measure 10 inches and 4 inches.

Thus we have the base of the triangle as 4 inches and height of the triangle as 10 inches.

  Area = 1/2 * 4 * 10 square inches .

∴ Area =  20 square inches.

Therefore, the area of the right angle triangle is 20 square inches.

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Answer:

Option (D)

Step-by-step explanation:

Mean=[tex]\frac{Sum of observations}{Number of observations}[/tex]

here, observations are

1×1=1

2×2=2

3×3=9

4×1=4

5×1=5

6×2=12

7×3=21

8×1=8

9×1=9

10×0=0

hence, sum of observations =1+4+9+4+5+12+21+8+9+0=73

Number of observations are=1+2+3+1+1+2+3+1+1+0=15

Mean=[tex]\frac{73}{15}[/tex]

Mean=4.8..

nearest to 5 .

Hence, option (D) is correct.

The number that is closest to the mean of the distribution is 5.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Sum of numbers = (1 x 1) + (2 x 2) + (3 x 3) + (4 x 1) + (5 x 1) + (6 x 2) + (7 x 3) + (8 x 1) + (9 x 1) = 73

Total numbers = 1+2+3+1+1+2+3+1+1+0=15

Mean = 73/15 = 4.8 = 5

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Answer:

The exact probability that the student selected is a junior whose  favorite subject is Math is [tex]\frac{124}{459}[/tex].

Step-by-step explanation:

Let the following events represents by the alphabets A and B.

A: Student selects Math as the favorite subject

B: Student chosen is a junior

The probability that the  student selects Math as the favorite subject is 1/4.

[tex]P(A)=\frac{1}{4}[/tex]

The probability that the student chosen is a junior is

[tex]P(B)=\frac{116}{459}[/tex]

The probability that the student selected is a junior or that the student chooses Math as the  favorite subject is 47/108.

[tex]P(A\cup B)=\frac{47}{108}[/tex]

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]\frac{47}{108}=\frac{1}{4}+\frac{116}{459}-P(A\cap B)[/tex]

[tex]P(A\cap B)=\frac{1}{4}+\frac{116}{459}-\frac{47}{108}=\frac{31}{459}[/tex]

The exact probability that the student selected is a junior whose  favorite subject is Math is

[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}[/tex]

[tex]P(\frac{B}{A})=\frac{\frac{31}{459}}{\frac{1}{4}}=\frac{124}{459}[/tex]

Therefore the exact probability that the student selected is a junior whose  favorite subject is Math is [tex]\frac{124}{459}[/tex].

The exact probability that the student selected is a junior whose favourite subject is maths is 124/459

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The probability that the student selects Maths the favourite subject:

P(A) = 1/4

The probability that the student chosen is a junior:

P(B) = 116/459

The probability that the student selected is a junior or that the student chooses maths the favourite subject:

P(A∪B) = 47/108

We know:

P(A∩B) = P(A) + P(B) _P(A∪B)

P(A∩B) = 1/4 + 116/459 - 47/108

P(A∩B) = 31/459

The exact probability that the student selected is a junior whose favourite subject is maths:

P(B|A) = P(A∩B) /P(A)

= (31/459)/(1/4)

= 124/459

Thus, the exact probability that the student selected is a junior whose favourite subject is maths is 124/459

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Answer:

b. [tex]\frac{1}{y^3}[/tex]

Step-by-step explanation:

Here we are given  [tex]y^{-3}[/tex] and are asked to simplify it. We are going to apply the law of exponents which says that

[tex]a^{-n}=\frac{1}{a^n}[/tex]

Hence applying this rule in our problem we get, where a=y and n=3

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

Hence our C) Option is correct

Answer:

Option A. [tex]4x+3y\leq 12[/tex] and [tex]x\geq 0[/tex]

Step-by-step explanation:

we know that

The solution of the first inequality is the shaded area below the solid line [tex]4x+3y=12[/tex]

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

[tex]4x+3y\leq 12[/tex]

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

[tex]x\geq 0[/tex]

Answer:

120 degrees

Step-by-step explanation:

You can just eyeball that it is greater than 90 degreees so it must be 120 degrees.

Answer:

$ 254.85

Step-by-step explanation:

Total amount invested = $ 560

Interest rate = r = 4.8% = 0.048

Time in years = t = 8 years

The formula for compound interest is:

[tex]A =P(1+\frac{r}{n})^{nt}[/tex]

Here,

A is the total amount accumulated after t years. P is the amount invested initially and n is the compounding periods per year. Since in this case compounding is done annually, n will be 1. Using the values in the above formula, we get:

[tex]A=560(1+\frac{0.048}{1})^{8} = \$ 814.85[/tex]

Thus, the total amount accumulated after 8 years will be $ 814.85

The amount of interest earned will be:

Interest = Amount Accumulated - Principal Amount

Interest = $ 814.85 - $ 560 = $ 254.85

By the end of 8 years, $ 254.85 would be earned in interest.

Answer:

The Slope Formula ( x1, y1 ) And ( x2, y2 )

Answer:

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Step-by-step explanation:

The formula for the perimeter of a rectangle is [tex]P=2L+2W[/tex].

If the width is [tex]W=12\:units[/tex] and the length is [tex]L=18\:units[/tex], then the perimeter becomes:

 [tex]P=2\times 12+2\times 18[/tex].

 [tex]\implies P=24+36[/tex].

 [tex]\implies P=60[/tex].

Therefore the answer is

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Answer:

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Step-by-step explanation:

The formula for the perimeter of a rectangle is .

If the width is  and the length is , then the perimeter becomes:

 .

 .

 .

Therefore the answer is

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Answer:

(a^3/7) - 4 + 3

Step-by-step explanation:

We need to translate the words into equations:

The quotient of a number cubed and seven: (a^3/7)

four less than the quotient of a number cubed and seven: (a^3/7) - 4

four less than the quotient of a number cubed and seven, increased by three:

(a^3/7) - 4 + 3

Answer:I think it is 5000x32

Step-by-step explanation:

10,000 divided by 2 is 5,000

64 divided by 2 is 32

5,000 can’t go down into 100 the same amount of times for 32 to get to 8

The simplified form of 10,000 x 64 are,

⇒ 100x⁸

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

To find simplified form of √10,000x⁶⁴

Since, We can simplify as;

⇒ √10,000x⁶⁴

⇒ √(100)² (x⁸)²

⇒ 100x⁸

Thus, The simplified form of 10,000 x 64 are,

⇒ 100x⁸

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Answer:

Question 6: 6.8

Question 7: 8295

Step-by-step explanation:

Question 6:

Let's say that each hamburger costs x amount of dollars, and each soda costs y amount of dollars. For the first statement, we purchase 7 hamburgers (so 7 times x) and 3 sodas (3 times y) to add up to 27.95. As an equation, this means that 7x+3y=27.95. Similarly, for the second statement, 5x+4y=23.40.

Putting these two side by side, we get:

7x+3y=27.95

5x+4y=23.40

Using Gauss-Jordan elimination, we can multiply the first equation by -4/3 and then add that to the second equation, resulting in

[tex]-13x/3 = 27.95*(-4/3)+23.40\\[/tex]

Simplifying, we get

[tex]-13x = 27.95*(-4)+23.4*3\\\\-13x = -41.6\\\\x=3.2[/tex]

Question 7:

Take the number of students as x and the number of teachers as y. There are 35 times as many students as there are teachers, so 35y=x. We know that the students and teachers added up equal 8544-12=8532 (as 12 seats are empty in the auditorium that can seat 8544, 8532 must be occupied), so x+y= 8532. Since 35y=x, 35y+y+8532, 36y=8532, and y= 237. Since the number of students is equal to x, and x=35y, 35*y=35*237=8295 students.

Answer:

see explanation

Step-by-step explanation:

Given

4(px + 1) = 64 ( divide both sides by 4 )

px + 1 = 16 ( subtract 1 from both sides )

px = 15 ( divide both sides by p )

x = [tex]\frac{15}{p}[/tex]

When p = - 5, then

x = [tex]\frac{15}{-5}[/tex] = - 3

Answer:

6

Step-by-step explanation:

f(0) means let x=0

In the table when x=0 f(0) =6