Which system of equations represents the matrix shown below ?

Answer:

(-3, -4)

Step-by-step explanation:

The parabola shown here opens up.  The vertex is the lowest point of this graph.  The coordinates of the vertex are (-3, -4).  

Answer:

(-3, -4)

Step-by-step explanation:

your welcome

Answer:

-20 + 48i

Step-by-step explanation:

(4 +6i)^2 (Perfect square)

= (4)^2 + 2(4)(6i) + (6i)^2

= 16 + 48i + 36i^2

= 16 + 48i - 36    (i^2 = -1)

= -20 + 48i

Answer:

[tex]-20+48 \text{i}[/tex]

Step-by-step explanation:

Note that

[tex](4+6i)^2=4^2+2\cdot(4\cdot6i)+(6\cdot i)^2=16+48i+36i^2=16+48i-36\\\\=(36-13)+48i=-20+48i[/tex]

and we are done.

Answer:

1+i

Step-by-step explanation:

The explicit formula for the compound interest geometric tell us: If P1 is invested at an interest rate of i per year, compounded annually, the future value Pn at the end of the nth year is:

[tex]Pn=P1(1+i)^{(n-1)}[/tex]

For example if you have $10 at 5% at an interest rate of 5% per year.

Then if you want to know the amount of money at the end of the 2, 3 and 4 year, you have:

n=1 year P1=10

n=2 year

[tex]P2=10(1+(5/100))[/tex]

[tex]P2=10(1+(5/100))^{(2-1)}[/tex]

[tex]P2=10(1+(5/100))^{(1)}[/tex]=10,5

n=3 year

[tex]P3=10(1+(5/100))*(1+(5/100))[/tex]

[tex]P3=10(1+(5/100))^{(3-1)}[/tex]

[tex]P3=10(1+(5/100))^{(2)}[/tex]=11.025

n=4 year

[tex]P4=10(1+(5/100))*(1+(5/100))*(1+(5/100)) [/tex]

[tex]P4=10(1+(5/100))^{(4-1)}[/tex]

[tex]P4=10(1+(5/100))^{(3)}[/tex]= 11.57625

Answer:

The constant term is the area of weight room.

Step-by-step explanation:

A rectangular gym has an area of [tex]4x^2[/tex]  square feet

The school decides to add a new  weight room.

The total area of the gym and the weight room is [tex](4x^2+480)[/tex] ft^2.

Here, 480 is the area of the weight room because [tex]4x^2[/tex] is the area of gym and the total area will be addition of both the areas.

Hence, the constant term is the area of weight room.

The area of the weight room is 480 square ft and the constant term 480 represents the area of the weight room.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area of the rectangular gym = 4x² square ft

The total area of the gym and the weight room = (4x² + 480) square ft

Let A be the area of the weight room:

Total area = area of gym + area of weight room

4x² + 480 = 4x² + A

A = 480 square ft

Thus, the area of the weight room is 480 square ft and the constant term represents the area of the weight room.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

Answer:

75

Step-by-step explanation:

Mode means the number that occurs the most. There can be more than 1 mode also no mode at all.

Looking at the number set closely, we see that "75" occurs twice and every number occurs once. Hence 75 is the mode.

Hello There!

The "MODE" is the numbers that occur most often in a set of numbers.

In this scenario, 75 would be the mode because it occurs twice, No other numbers in this data set repeat except 75.

Answer:

the answer would be the 3rd one :)

Step-by-step explanation:

Answer:

Your answer is wrong.... M

Final answer:

The expression[tex]5^-8 * 7^-9[/tex]simplifies to 1 / [tex]5^8 * 1 / 7^9[/tex], which can be rearranged to 1 / [tex](35^8 * 7),[/tex] hence the correct answer is option B:[tex]1 / (7 * 35^8).[/tex]

Explanation:

The expression [tex]5^-8 * 7^-9[/tex] simplifies to:

([tex]1/5^8) * (1/7^9)[/tex]

[tex]1 / (5^8 * 7^9)[/tex]

We notice that [tex]5^8 * 7^9[/tex] can be rearranged to [tex](5*7)^8 * 7[/tex]

[tex]1 / (35^8 * 7)[/tex]

Finally, we get [tex]1 / (7 * 35^8)[/tex]which is option B.

Answer:

Hi there!

A way to remember how to do each way is: Soh Cah Toa

Sin- opposite over hypotenuse Cos- Adjacent over hypotenuse Tan- opposite over adjacent.

Hypotenuse is the longest the side of the triangle

and the adjacent side is the side laying near the symbol theta.  

Answer:

Domain f(x) = R - {1}

As it is a rational expression, the denominator cannot be zero.

Now the function holds all real values except 1 for which the denominator will become zero which is undefined.

Therefore the domain will be all real numbers except 1.

Answer:

x =-2 and z =-4

Step-by-step explanation:

We need to solve the following systems of equation

-3x-2y+4z = -16       eq(1)

10x+10y-5z = 30      eq(2)

5x+7y+8z = -21        eq(3)

Multiply eq(1) with 10 and eq(2) with 3

-30x-20y+40z = -160

30x+30y-15z = 90

__________________

10y+25z = -70

Divide by 10

2y+5z = -14      eq(4)

Multiply eq(1) with 10 and eq(3) with 6

-30x-20y+40z = -160

30x+42y+48z = -126

__________________

22y+88z = -286

Divide by 11

2y+8z = -26     eq(5)

Subtract eq(4) and eq(5)

2y+5z = -14  

2y+8z = -26      

-    -        +

__________

-3z = 12

z = 12/-3  

z = -4

Putting value of z in eq(4)

2y+5z = -14  

2y +5(-4) = -14

2y = -14 +20

2y = 6

y = 3

Putting value of z and y in eq(1)

-3x-2y+4z = -16

-3x-2(3)+4(-4) = -16

-3x -6 -16 = -16

-3x = -16+16+6

-3x = 6

x = 6/-3

x = -2

Answer: What is the blood type of each person at the clinic?

Answer:

$3400 after one year

$17400 after the 36 months

Step-by-step explanation:

3000+400*1=3400

3000+400*36=17400

After a year, $7,800 will have been spent on the car. The final cost of the car will be $16,800.

i) To find out how much money will have been spent after a year, we need to substitute the value of M with 12 (since there are 12 months in a year) in the formula S = 3000 + 400M. Therefore, S = 3000 + 400 × 12 = $7,800.

ii) The final cost of the car can be found by substituting the value of M with 36 (since there are 36 months of payments) in the same formula. Therefore, S = 3000 + 400 ×36 = $16,800.

https://brainly.com/question/15272640

#SPJ2

Answer:

6 since 8(3/4)=6

Step-by-step explanation:

(x^8)^(3/4)

=x^(8*3/4) by one of the law of exponents

=x^(8/4 *3)

=x^(2 *3)

=x^6

To convert 25/38 to a percentage, divide 25 by 38, multiply by 100, and round to the nearest tenth, resulting in 65.8%.

To convert 25/38 to a percentage, you divide 25 by 38 and then multiply the result by 100.

The calculation would look like this:

Divide 25 by 38: 25 ÷ 38 = 0.6578947368

Multiply the result by 100 to get the percentage: 0.6578947368 × 100 = 65.78947368%

Round the result to the nearest tenth of a percent: 65.8%

Therefore, 25/38 as a percentage rounded to the nearest tenth of a percent is 65.8%.

Final answer:

To express 25/38 as a percentage, divide 25 by 38 and then multiply the result by 100. The answer is approximately 65.8%.

Explanation:

To express 25/38 as a percentage, you can divide 25 by 38 and then multiply the result by 100.

25 ÷ 38 ≈ 0.6578947368421053

0.6578947368421053 × 100 ≈ 65.8

Therefore, 25/38 as a percentage, rounded to the nearest tenth of a percent, is approximately 65.8%.

Answer:

y = [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - 1 ← is in this form

with slope m = [tex]\frac{1}{4}[/tex]

• Parallel lines have equal slopes, thus

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the parallel line

To find c substitute (8, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of parallel line

The graph is attached.

To find the graph that shows the solution to the system of linear inequalities below, we need to find the axis intercepts and consider the given conditions for both inequalities.

So, solving we have:

First inequality: Blue line and area.

[tex]y\leq -3x+2[/tex]

Finding the x-axis intercept, making "y" equal to 0.

[tex]y=-3x+2[/tex]

[tex]0=-3x+2\\\\3x=2\\\\x=\frac{2}{3}=0.66[/tex]

So, the x-axis intercept is located at the point (0.66,0)

Finding the y-axis intercept, making "x" equal to 0.

[tex]y=-3x+2[/tex]

[tex]y=-3*0+2=2[/tex]

So, the y-axis intercept is located at the point (0,2)

Also, we can see that since the coefficient of the linear term is negative (-3) the line is decreasing (line with negative slope).

Now, that we already know the axis intercepts, we need to remember that the inequality is given by the following expression:

[tex]y\leq -3x+2[/tex]

The less or equal inequality symbol means that the solution region of the inequality is under the function.

Second inequality: Red line and area.

[tex]y>2x-3[/tex]

Finding the x-axis intercept, making "y" equal to 0.

[tex]y=2x-3+2[/tex]

[tex]0=2x-3\\\\2x=3\\\\x=\frac{3}{2}=1.5[/tex]

So, the x-axis intercept is located at the point (1.5,0)

Finding the y-axis intercept, making "x" equal to 0.

[tex]y=2x-3[/tex]

[tex]y=2*0-3=-3[/tex]

So, the y-axis intercept is located at the point (0,-3).

Also, we can see that since the coefficient of the linear term is positive (-3) the line is increasing (line with positive slope).

Now, that we already know the axis intercepts, we need to remember that the inequality is given by the following expression:

[tex]y>2x-3[/tex]

The greater inequality symbol means that the solution region of the inequality is above the function.

Hence, since we have a system of linear inequalities, the solution to the whole system is located between the solution region of the given inequalities.

The graph is attached, the solution to the system of linear inequalities is represented by the shaded area (light purple area).

Have a nice day!

The solution to the inequality is attached. It is the side that is dark green as shown in the graph.

Inequality

Inequality is an expression used to show the non equal comparison of two or more numbers and variables.

Given the inequalities:

y < -3x + 2   (1)

y > 2x - 3    (2)

Plotting the graph using the online geogebra tool.

The solution to the inequality is attached. It is the side that is dark green as shown in the graph.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

Unless there is more to the question than c = 2 because 30 /5 = 6 and if c is 3 than 3 = 6 so simplify if needed.

Answer:

c = 18

Step-by-step explanation:

Rewrite c / 3 equals 30 / 5 as:

 c       30

----- = -----

  3       5

Reduce 30/5 to 6/1:

 c        6

----- = -----

  3       1

Cross multiplying, we get 1c = 18, or c = 18.

The system of linear inequalities which is represented by the  graph is:

        y>x-2 and    y<x+1

The first inequality--

It is a dotted line which passes through (-1,0) and (0,1) and the shaded region is below the line.

first we find the equation of line:

The equation of a line passing through (a,b) and (c,d) is given by:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Hence,

(a,b)=(-1,0) and (c,d)=(0,1)

Hence, the equation of line is:

[tex]y-0=\dfrac{1-0}{0-(-1)}\times (x-(-1))\\\\i.e.\\\\y=\dfrac{1}{1}\times (x+1)\\\\i.e.\\\\y=x+1[/tex]

Also, the inequality is strict since the line is dotted.

Hence, the inequality is given by: y<x+1

The second inequality --

is a dotted line which passes through (0,-2) and (2,0)

and the shaded region is above the line.

The equation of line is given by:

  y=x-2

and the inequality is strict.

Hence, the inequality is given by:

        y>x-2

Hello There!

intersecting lines and lines that have the same equation.

Answer:

intersecting lines and lines

Step-by-step explanation:

I believe the answer is 286 since the equation is 250(1.07) t

this tells me that 250= original size and 1.07= growth of the bacteria and t for time or hour in this case

250x(1.07) 2

267.5x(1.07)

286.225 = 286

Answer:

True

Step-by-step explanation:

we know that

A circle can be circumscribed about any regular polygon

A circumscribed circle surrounds a regular polygon, touching every vertex

Answer:

A and D on edge

just took the assessment

Answer:

a and d

Step-by-step explanation:

Final answer:

Strategic voting leads to the Pepsi candidate winning the election for Soft Drink commissioner, despite the strong preference for Coca-Cola among the voting population.

Explanation:

The Pepsi candidate wins in a landslide in the election for Soft Drink commissioner, despite there being a strong preference for Coca-Cola among the voting population because of the concept of strategic voting. Strategic voting occurs when voters strategically choose a candidate who they believe has a better chance of winning, rather than their preferred choice. In this scenario, it is possible that the supporters of the Coca-Cola party split their votes among the four candidates, while the supporters of the Pepsi candidate remained united, resulting in the Pepsi candidate winning by a large margin.

For this case we must solve the following equation:

[tex]\frac {5} {6} x = \frac {10} {3}[/tex]

Multiplying by "6" on both sides of the equation we have:

[tex]5x = \frac {10 * 6} {3}\\5x = \frac {60} {3}\\5x = 20[/tex]

Dividing between 5 on both sides of the equation we have:

[tex]x = \frac {20} {5}\\x = 4[/tex]

So, the solution is [tex]x = 4[/tex]

Answer:

Option D

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression [tex]\frac{5}{6}x=\frac{10}{3}[/tex], you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

[tex]3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10[/tex]

2)  You need to multiply both sides of the equation by 6:

[tex](6)(\frac{15}{6}x)=(10)(6)\\\\15x=60[/tex]

3) Finally, you can divide both sides of the equation by 15:

[tex]\frac{15x}{15}=\frac{60}{15}\\\\x=4[/tex]

Answer:

75 cm^2

Step-by-step explanation:

We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.

For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.

The area of the small triangle is 1/16 the area of the large triangle.

area of small triangle = (area of large triangle) * (area scale factor)

area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16

area of small triangle = (1200 cm^2)/16 = 75 cm^2

Answer:

I would say 75cm^2.

Answer:  8 yds³ 22ft³ 1712 in³

Step-by-step explanation:

9 yds³ + 113 in³ - (4 ft³ + 129 in³)

Understand that you need to "borrow" 1 yd³ and convert it into ft³ and then "borrow" 1 ft³ and convert it into in³

Conversions:

[tex]1 yd^3\times \bigg(\dfrac{3ft}{1yd}\bigg)^3=\large\boxed{27ft^3}\\\\\\1ft\times\bigg(\dfrac{12in}{1ft}\bigg)^3=\large\boxed{1728in^3}[/tex]

The given equation:

   9 yds³ +  0 ft³    + 113 in³          

                - 4 ft³   - 129 in³

Borrow 1 yd³ to create 27 ft³:

= 8 yds³  + 27 ft³ + 113 in³

               -   4 ft³  - 129 in³

Borrow 1 ft³ to create 1728 in³:

= 8 yds³  + 26 ft³ + 1841 in³

               -   4 ft³  -  129 in³

= 8 yds³  + 22 ft³ + 1712 in³

Answer:

Sometimes they are called algebraic postulates.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

16

Explanation:

Area of Triangle = 1/2(B*H)

Height - 4

Base - 8

8 * 4 = 32

32 / 2 = 16

Answer:

[2, -10]

Step-by-step explanation:

Simply plug in 2⃣ for every "x" you see, evaluate, then you will arrive at your answer.

Final answer:

The dealer's cost for the car is $15,851.65 and the sticker price is $20,636.

Explanation:

To find the sticker price and dealer's cost for the car, we need to calculate the prices of the base price, options, and destination charges.

First, calculate the dealer's cost for the base price by multiplying 85% of the base price: $18,649 x 0.85 = $15,851.65.

Next, calculate the dealer's cost for the options by multiplying 70% of each option cost and summing them up: $453 x 0.70 + $612 x 0.70 + $386 x 0.70 + $290 x 0.70 = $845.20.

Finally, calculate the sticker price by adding the base price, options, and destination charges: $18,649 + $453 + $612 + $386 + $290 + $246 = $20,636.

Therefore, the dealer's cost is $15,851.65 and the sticker price is $20,636.