i need the answer ASAP

Answer:

C. T is not​ one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

[tex]T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)[/tex]

Required

Determine if it is linear or onto

Represent the above as a matrix.

[tex]T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

Answer:

31

Step-by-step explanation:

Median = middle number in terms of value

Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest

24, 25, 29, 30, 31, 31, 32, 34, 34

We the just go to the middle number

The middle number would be 31

So we can conclude that the median is 31

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Answer:

  2

Step-by-step explanation:

We can solve for y to find the slope of the given line.

  x +2y = 2

  2y = -x +2 . . . . . subtract x

  y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

  -1/(-1/2) = 2

A perpendicular line will have a slope of 2.

Answer:

m≤1

Step-by-step explanation:

The given inequality is :

−3(m+7)≥−24

Dividing both sides by -3.

(m+7) ≤ 8

Subtract 7 from both sides,

(m+7)-7 ≤ 8-7

m≤1

Hence, this is the required solution.

Answer:

Step-by-step explanation:

[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]

Answer:

solid shade above

Step-by-step explanation:

graph line same way you would if it was an equal sign

all the y's that are greater are above the line

its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions

Answer:

45 of the phones are black smartphones.

Step-by-step explanation:

We sould this question treating these probabilities as Venn events.

I am going to say that:

Event A: Smartphone.

Event B: Black.

450 are smartphones and 270 are black.

This means that [tex]A = 450, B = 270[/tex].

225 phones are not black and not a smartphone

This means 900 - 225 = 675 are either black or a smartphone, that is, [tex](A \cup B) = 675[/tex]

How many of the phones are black smartphones?

This is:

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

Considering the values we found:

[tex](A \cap B) = A + B - (A \cup B) = 450 + 270 - 675 = 45[/tex]

45 of the phones are black smartphones.

==================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(alpha) = MN/NP

sin(alpha) = y/z

---------

cos(angle) = adjacent/hypotenuse

cos(beta) = MN/NP

cos(beta) = y/z

----------

Both sin(alpha) and cos(beta) are equal to y/z, so that means sin(alpha) = cos(beta). This is true because alpha+beta = 90, ie the angles are complementary.

Similarly, you should find that sin(beta) and cos(alpha) are both equal to x/z, which is further proof that the statement is true.

Answer: D) 5+9

Step-by-step explanation:

Two variables next to each other with no sign means it's multiplication

When a number is in parenthesis next to a number in parenthesis with no sign it is also multiplication (just like the two variables)

When using the multiplication symbol it is a multiplication problem.

This leaves us with D which is an addition problem

Answer:

D

Step-by-step explanation:

Because 5x9, (5)(9), and ab is all multiplication however 5+9 is addition

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Answer:

  (b)  It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

Answer:

B

Step-by-step explanation:

Hope you have a nice day! :o)

Answer:

4.88

Step-by-step explanation:

That may be the question

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Answer:

AREA OF THE POLYGON

[tex]7 \times \frac{1}{2} \times 4 \times 4.2 \\ 58.8 {inch}^{2} [/tex]

Answer:

The answer is C

Step-by-step explanation:

The first step to solve the equation is x² + 12x - 36 = 72 - 36. The correct option is A.

A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2.

Among the options you provided, the correct first step to solve the equation x² + 12x = 72 is:

x² + 12x - 36 = 72 - 36

By subtracting 36 from both sides of the equation, you can bring the constant term to the other side, simplifying the equation to:

x² + 12x - 36 = 0

Now you can proceed with solving the quadratic equation using factoring, completing the square, or the quadratic formula.

To know more about quadratic equations follow

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Answer:

that's my answer

hope it helps

Answer:

36.2

Step-by-step

Answer:b

Step-by-step explanation:

Answer:

It is b because it just makes the most scence

Answer:

314 m²

Step-by-step explanation:

the surface area of a sphere (As) is

As = 4×pi×r²

our radius r (half of the diameter) here is 5m.

As = 4×3.14×5² = 4×3.14×25 = 100×3.14 = 314 m²

Answer:

110°

Step-by-step explanation:

4x+10 + (3x-5) = 180

7x + 5 = 180

7x = 175

x = 25

∠2 = 4(25) + 10 = 110

The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.

To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:

(4x + 10) + (3x - 5) = 90

Now, let's solve the equation to find the value of x. First, combine like terms:

4x + 3x + 10 - 5 = 90

7x + 5 = 90

Next, isolate x by subtracting 5 from both sides:

7x = 85

Finally, divide by 7 to solve for x:

x = 85 / 7 ≈ 12.14

Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:

Angle 2 = 4x + 10

Angle 2 = 4(12.14) + 10

Angle 2 ≈ 48.56 + 10

Angle 2 ≈ 58.56 degrees

To know more about angle here

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Answer:

2/3 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is  A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.

Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.

Finally, we simplify! 4/6 simplifies to 2/3.

Answer:

37

Step-by-step explanation:

fistly find how much different

3-1=2 5-3=2 7-5=2

so for the next and next value just plus two until the 19th then you will get 37

=============================================================

Explanation:

a = 1 is the first term

d = 2 is the common difference, since we add 2 to each term to get the next term.

The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1

The last step is to plug in n = 19 and you should get 2(19)-1 = 37

Answer:

x=5

y = -2

(5,-2)

Step-by-step explanation:

3x+7y=1 and y=x-7

Substitute the second equation in for y in the first equation

3x+7( x-7)=1

Distribute

3x+ 7x - 49 = 1

Combine like terms

10x - 49 =1

Add 49 to each side

10x-49+49 = 1+49

10x = 50

Divide by 10

10x/10 = 50/10

x = 5

Now find y

y = x-7

y = 5-7

y = -2

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Answer:

  (c)  fold it so R lies on top of S

Step-by-step explanation:

The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.

Answer:

can you show the picture plz

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]

Évaluate/Combine like terms.

[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]

Alternative

[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]

Answer

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

Answer:

Below

Step-by-step explanation:

First find the area of the triangle

A = bh/2

   = (5)(10)/2

   = 50/2

   = 25 in^2

*the height of the triangle is 10 because we are disregarding the 3 inches as it is not a part of the triangle

You can now find the volume of the triangular part

V = area x height

   = (25)(10)

   = 250 in^3

Now find the volume of the rectangular part

V = LWH

   = (10)(5)(3)

   = 150 in^3

Add these two up to get the total volume

150+250 =400 in^3

I hope that is correct.... good luck!

Answer:

13

HOPE THIS HELPS YOU......

Answer:

3..

Step-by-step explanation:

dont know the explanation sry i m beginner so .