What is the determinant of the coefficient matrix of the system –7 –2 –1 0

Answer:

22

Step-by-step explanation:

Answer:

22 band uniforms

Step-by-step explanation:

Each band uniform costs $45, and you have $1000. We want to find how many band uniforms you can purchase.

Therefore, we can divide 1000 (total money) by 45 (cost of one band uniform)

1000/45

Divide

22.2222222

0.2222... , or a part, of a uniform cannot be purchased, so we must round down to the nearest whole number.

22

22 band uniforms can be purchased.

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Explanation:

Think of two numbers that multiply to -36 and also add to 5. Put another way: think of two factors of -36 that add to 5.

Those two numbers are 9 and -4 since

9 times -4 = -36

9 plus -4 = 5

So we have x^2 + 5x - 36 factor into (x+9)(x-4)

x+9 is one factor

x-4 is the other factor

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Alternatively, you can use a graphing tool to locate the x intercepts, and that will in turn lead to the factorization. Or you could use the quadratic formula to get the job done. Completing the square is yet another tool to use. So there are multiple approaches.

Answer:

-1/6=-0.166

-2/3=-0.66

Step-by-step explanation:

-by looking carefully you will notice that . which number is greater and smaller.

Answer:

-1/6 is greater than -2/3

Step-by-step explanation:

Answer:

8cm

Step-by-step explanation:

the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8

Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

Answer:

5/33

Step-by-step explanation:

5/12 * 4/11 = 20/132 = 10/66 = 5/33

Answer:

sqrt[(2m^2n)^3]

Step-by-step explanation:

So let's break down the exponent.  The top number represents the number of times the term is repeated.  The bottom number represents the root to be taken of the final product.  With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.

Answer:

Step-by-step explanation:

please include a picture of the question! :)

Explanation:

For the first slot, we have 9 digits to choose from (1 through 9).

Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.

Then for the third slot, we had 8 choices to pick from

Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.

Answer:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Step-by-step explanation:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Answer:

The slope is 2/3

Answer:

2/3

Step-by-step explanation:

This is written in point slope form

y - y1 = m(x-x1)

3(y - 1) = 2x + 2​

Divide each side by 3

(y - 1) = 1/3(2x + 2)

Factor out a 2

(y - 1) = 2/3(x -  -1)

​​The slope is 2/3

Answer:

The solution is (2,5)

Step-by-step explanation:

The solution to the system of equations is where to the two graphs intersect

The two lines intersect at x=2 and y = 5

The solution is (2,5)

Answer:

Hey there!

The solution for a system of equations (simultaneous equations), is where the two lines intersect.

We see that the lines intersect at (2,5), making (2,5) the solution to the system of equations.

Let me know if this helps :)

Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

[tex]x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)[/tex]

Now, let's see the numerator.

[tex]x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\[/tex]

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: not sure

Step-by-step explanation:

Answer: x = 27/2

Step-by-step explanation:

2/3x-2=7

2/3x=9

2/3x=27/3

2/3x(3/2)=27/3(3/2)

x=81/6

x=27/2

Answer: x = 27/2

Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.

On the left, -2 and +2 cancel out and were left

with 2/3x and on the right, 7 + 2 simplifies 9.

So we have 2/3x = 9.

In order to get x by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of a fraction is just that fraction

flipped so the reciprocal of 2/3 is 3/2.

So we have (3/2)(2/3x) = 9(3/2).

On the left, the 2's cancel and the 3's cancel.

On the right, 9(3/2) is 27/2.

So x = 27/2

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of something will always be the same number if the number is positive. Therefore, the values of x which make this true are x ≥ 0.

The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

The table of values is given as:

Gallons       Cost

1                      1.25

2                     2.50

5                     6.25

15                     18.75

20                    25.00

The inverse of the above table would have the following header

Cost     Gallons

When the inverse table is populated, we have:

Cost    Gallons

1.25          1

2.50        2

6.25         5

18.75        15

25.00      20

The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Read more about coordinates at:

https://brainly.com/question/10690059

#SPJ1

Answer: Pam earns $41,667 in one year.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Pam's salary (x) multiplied by the percentage represented by expenses (18%) in decimal form (divided by 100) must be equal to $7500.

Mathematically speaking:

x (18/100) = 7500

Solving for x:

x (0.18) = 7500

x = 7500/0.18

x = 41,667

Pam earns $41,667 in one year.

Feel free to ask for more if needed or if you did not understand something.

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Answer:

The percentage of alcohol in the resulting mixture is 30%

Step-by-step explanation:

The equation given are;

Volume of added water = 1 gallon = 3.79 litres = 4 quarts

Volume of mixture of alcohol = 6 quarts = 5.68 litres

Concentration of the alcohol in 6 quarts = 50%

Given that the mixture of alcohol and water is 50% alcohol and 50% water, we  have;

Volume of 100% alcohol in 5.68 liters = 0.5× 5.68 = 2.84 litres = 3 quartz

Total volume of the final solution = 5.68 + 3.78 = 9.46 litres = 10 quarts

Percentage by volume of 100% alcohol in total volume of the resultant solution = 3 quarts/((4 + 6) quarts) × 100 = 3/10 × 100 = 30%

The percentage of alcohol in the resulting mixture = 30%.

Answer:

a) Median: 9

b) Range: 5

c) Mode: 7

Step-by-step explanation:

The median is the number in the middle.

First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12

The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

To find the range, you minus the highest number and the lowest number, 12-7=5.

Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.

Hope this helps!!!

Answer:

[tex]\boxed{\mathrm {Median = 9}}[/tex]

[tex]\boxed{\mathrm{Range = 5}}[/tex]

[tex]\boxed{\mathrm{Mode = 7}}[/tex]

Step-by-step explanation:

The observations are:

8,7,12,7,11,10,7,12

In ascending order:

=> 7,7,7,8,10,11,12,12

A) Median => Middlemost no.

Median = 8,10

=> [tex]\frac{8+10}{2}[/tex]

=> [tex]\frac{18}{2}[/tex]

Median = 9

B) Range = Highest No. = Lowest No.

RANGE = 12-7

Range = 5

C) Mode => frequently occurring number

Mode = 7

Answer:

6.34 seconds.

Step-by-step explanation:

The object will hit the ground when h = 0.

-16t^2 + 90t + 72 = 0

8t^2 - 45t - 36 = 0

We can then use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]

[tex]\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}[/tex]

= [tex]\frac{45±\sqrt{2025 + 1152} }{16}[/tex]

= [tex]\frac{45±\sqrt{3177} }{16}[/tex]

= [tex]\frac{45±56.36488268}{16}[/tex]

(45 - 56.36488268) / 16 = -0.7103051678

(45 + 56.36488268) / 16 = 6.335305168

Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.

Hope this helps!

Answer: $310.31

Step-by-step explanation:

Invested amount (P) = $302

Interest rate (r) = 3.3% per year

Period = 10 months

Recall, simple interest formula :

A = P(1 + rt) where ; A = final amount

Interest = 3.3% = 3.3/ 100 = 0.033

A = $302 ( 1 + 0.033(10/12))

A = $302 (1 + 0.033(0.8333333))

A = $302 ( 1 + 0.0275)

A = $302 ( 1. 0275)

A = $310.305

A = $310.31

Answer:

x = 1/3 and x = 1.

Step-by-step explanation:

3x^2 - 4x + 1 = 0

(3x - 1)(x - 1) = 0

The solutions are when either 3x - 1 = 0 or x - 1 = 0.

3x - 1 = 0

3x = 1

x = 1/3

x - 1 = 0

x = 1

So, x = 1/3 and x = 1.

Hope this helps!

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

Step-by-step explanation:

the freezing point of water is 0⁰c...

0⁰c is as positive value but this is also considered as also in negative so it is not fixed but after a experiment it shows that 0⁰c ⁷

Answer:

Mia's iced coffee is 4^\circ\text{C}4  

∘

C4, degrees, start text, C, end text below the freezing point of water.

Step-by-step explanation:

Answer:

8 pi cm^2

Step-by-step explanation:

To answer this question, what we need firstly is the name of the cross section that results from slicing a sphere into half.

The cross section that results is called a hemisphere, which is half the size of the sphere.

But before we can calculate the area of the new cross section, we will need the radius of the original shape.

This is obtainable from the volume of the shape.

Mathematically;

Volume of a sphere = 4/3 * pi * r^3

32/3 * pi = 4/3 * pi * r^3

We can take off pi/3 from both sides so we are left with;

32 = 4r^3

Divide through by 4

r^3 = 8

r is the cube root of 8 = 2 cm

Now we find the area of the hemisphere

Mathematically, the area of a hemisphere is 2 * pi * r^2

using the value of r = 2 cm given above, we have

Hemisphere area = 2 * pi * 2^2 = 8pi cm^2

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▹ Answer

Linear

▹ Step-by-Step Explanation

As x increases by 4, y increases by 6.

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

0 + 6 = 6

6 + 6 = 12

12 + 6 = 18

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the GRAPHS AND FUNCTIONS.

This here, from the graph we can see that it's a EXPONENTIAL GROWTH.

Thus the relationship is Exponential.

Answer:

10,000 panels

Step-by-step explanation:

A TV panel is being produced by two factory plants

Plant A produced 5000 fewer panels than plant B

Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B

a= b-5000............equation 1

5% of the panels from plant A were defective

= 5/100

= 0.05

2% of the panels from plant B were defective

= 2/100

= 0.02

The total defective panels of both plants is 450

0.05a + 0.02b= 450..............equation 2

Substitute b-5000 for a in equation 2

0.05(b-5000) + 0.02b= 450

0.05b - 250 + 0.02b= 450

Collect the like terms

0.05b+0.02b= 450+250

0.07b= 700

Divide both side by the coefficient of b which is 0.07

0.07 b/0.07= 700/0.07

b= 10,000

Hence plant B produced 10,000 panels