The square of the product of 4 and a number.

Answer:

x=6

Step-by-step explanation:

since y=5x/2-7, and y=4x/3

         so 5x/2-7=4x/3

              5x/2-4x/3= 7

              15x-8x/6=7

               7x/6=7

               x= 7*6/7= 6

[tex]A = \begin{bmatrix}1&2\\1&1\end{bmatrix} \implies A^{-1} = \dfrac1{\det(A)}\begin{bmatrix}1&-1\\-2&1\end{bmatrix} = \begin{bmatrix}-1&1\\2&-1\end{bmatrix}[/tex]

where det(A) = 1×1 - 2×1 = -1.

[tex]B = \begin{bmatrix}0&-1\\1&2\end{bmatrix} \implies B^{-1} = \dfrac1{\det(B)}\begin{bmatrix}2&1\\-1&0\end{bmatrix} = \begin{bmatrix}2&1\\-1&0\end{bmatrix}[/tex]

where det(B) = 0×2 - (-1)×1 = 1. Then

[tex]B^{-1}A^{-1} = \begin{bmatrix}2&1\\-1&0\end{bmatrix} \begin{bmatrix}-1&1\\2&-1\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]

On the other side, we have

[tex]AB = \begin{bmatrix}1&2\\1&1\end{bmatrix} \begin{bmatrix}0&-1\\1&2\end{bmatrix} = \begin{bmatrix}2&3\\1&1\end{bmatrix}[/tex]

and det(AB) = det(A) det(B) = (-1)×1 = -1. So

[tex](AB)^{-1} = \dfrac1{\det(AB)}\begin{bmatrix}1&-3\\-1&2\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]

and both matrices are clearly the same.

More generally, we have by definition of inverse,

[tex](AB)(AB)^{-1} = I[/tex]

where [tex]I[/tex] is the identity matrix. Multiply on the left by A ⁻¹ to get

[tex]A^{-1}(AB)(AB)^{-1} = A^{-1}I = A^{-1}[/tex]

Multiplication of matrices is associative, so we can regroup terms as

[tex](A^{-1}A)B(AB)^{-1} = A^{-1} \\\\ B(AB)^{-1} = A^{-1}[/tex]

Now multiply again on the left by B ⁻¹ and do the same thing:

[tex]B^{-1}\left(B(AB)^{-1}\right) = (B^{-1}B)(AB)^{-1} = B^{-1}A^{-1} \\\\ (AB)^{-1} = B^{-1}A^{-1}[/tex]

Answer:

Step-by-step explanation:

A line with an x-intercept of -5 has the coordinates (-5, 0); that same line with a y-intercept of 1 has the coordinates of (0, 1). The slope of this line is

[tex]m=\frac{1-0}{0-(-5)}\\m= \frac{1}{5}\\[/tex]

A line that is perpendicular to this one will have a slope of -5.

Answer:

x = 7

Step-by-step explanation:

I reversed it for easy viewing:

(x+7)/3x = 2/3

<=> (x + 7).3 = 2.(3x)

<=> 3x + 21 = 6x

<=> 21 = 6x - 3x

<=> 3x = 21

<=> x = 7

2/3 = (x+7) /3x

Cross multiply:

2(3x) = 3(x+7)

Simplify:

6x = 3x + 21

Subtract 3x from both sides:

3x = 21

Divide both sides by 3:

X = 7

Answer: x = 7

Answer:

20.2 feet

Step-by-step explanation:

Using Pythagoras theorem, we have

Height^2+13^2=24^2, height=sqrt(407)=20.2

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

Answer:

Lol mcm soalan kamu salah. Pilih A je

Step-by-step explanation:

Masukkan nilai tersebut dalam persamaan v = u + at,

42 = -8 + (-5)t

50 = -5t

t = -10

Answer:

70 miles

Step-by-step explanation:

Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes.  We convert 84 minutes to 84/60 hour.

distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles

Answer:

700mi cube

Step-by-step explanation:

10x7x10=700mi cube

Answer:

[tex]6x + 9y + 7x - 4y \\ 6x + 7x + 9y - 4y \\ 13x + 5y \\ thank \: you[/tex]

Answer: 13x+5y

Step-by-step explanation:

Answer:

Step-by-step explanation:

C(3 , -2)   & D (7, -8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]

≈ 7.2 units

Answer:

50.6

Step-by-step explanation:

The perimeter of the circle is 12.56 because we take 1/2 of 8 (the length of the short side of the rectangle) and multiply that by pie (or 3.14). Now that we know that the perimeter of the circle is 12.56 we add that to 8 (short side of the rectangle) and we add that to 15 twice (which is 30)

A. (16 - 12)² = 4² = 4 · 4 = 16

B. -|-4| = -4

C. (96 : 8) - 2³ = 12 - 8 = 4

D. 24 - 42 = -(42 - 24) = -18

or 2⁴ - 4² = 16 - 16 = 0

The correct answer is C

9514 1404 393

Answer:

  D.  13.8

Step-by-step explanation:

FE being the midsegment means E is the midpoint of BC. The midpoint divides the segment into two equal parts, so BE = EC = 6.9. The length BC is the sum of those parts:

  BC = BE +EC = 6.9 +6.9 = 13.8

The length of BC is 13.8 units.

Answer:

If 4 flower pots cost 4.08 dollars, then 1 flower pot costs 4.08/4 dollars.

4.08/4 = 1.02.

So the unit price is $1.02.

Let me know if this helps!

Answer:

opt. B

Step-by-step explanation:

g=60 because equilateral triangle ang=60

<KMN=120 because of linear pair

<h= 180-(120+29)= 31

g+h= 60+31= 91

Step-by-step explanation:

CP of 50 glasses is given 1500 so,

CP of one glass is 1550÷50 it mean the cost price of one glass is 30

now it have your question has said 4 glasses with broken so ,

1500-120

1380

he sold each glasses at the cp of 35 so,

46×35

1610

now,

profit =SP-CP

1610-1500

=110

Actual profit is 110 and profit percent =actual profit/CP ×100

110/1500×100

=7.3333%

Answer:

-2 <= x <= 1/3

Step-by-step explanation:

it is the same as for equations.

the solution for a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

our parameters here are

a = 3

b = 5

c = -2

so,

x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6

x1 = (-5 + 7)/6 = 2/6 = 1/3

x2 = (-5 - 7)/6 = -12/6 = -2

since we are looking for smaller or equal, points of 0 will be part of the solution.

now we need to check each side of these points on the x-axis, if they are true or not to the inequality.

left of -2 : let's pick -3

3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10

this is NOT <= 0, so this interval does not fit.

similar, right of 1/3 : let's pick 1

3×1² + 5×1 - 2 = 3 + 5 - 2 = 6

this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).

lastly, in the middle between -2 and 1/3 : let's pick 0

3×0² + 5×0 - 2 = -2

this IS <= 0, so the interval between -2 and 1/3 fits.

Answer:

Problem: 5.24 - 4.93

Step-by-step explanation:

You subtract just like a normal Addition problem however you MUST make sure the decimal point line up,...

[tex]5.24\\4.93\\[/tex]

1st: subtract the 3 from the 4 [0.01]

2nd: subtract the 9 from the 2 (make the 2 a 12 (by carrying a one from the 5 (which then becomes a 4))) [0.30]

3rd: Finally subtract the 4 from the 4,... 0

Answer = 0.31,...

A more summed up answer: Subtracting (and adding for that matter) decimals happens exactly like normal. However you MUST MAKE SURE that your decimal points are lined up,... if you are subtracting a 0.09 from a 4.5 and the 4.5 doesn't have a hundredths place just remember that you can add a 0 on the end (4.50) without chancing it's value. (and then just subtract like normal)

Answer:

see explanation

Step-by-step explanation:

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Answer:

(a+b) is squared which means (a+b)(a+b)

Lets prove it

= (a+b)(a+b)

= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)

= a²+ab + ab + b²

= a²+ 2ab + b²

Hence proved (a+b)² = a²+ 2ab + b²

please click thanks and mark brainliest if you like :)

Answer:

A.

Step-by-step explanation:

Here's how to determine if a ordered pair is a solution to an inequality

Step 1. Take the ordered pair and substitute their x and y values to the inequality

Inequality: [tex]y=7x-3[/tex]

Ordered pair: [tex](-2,-17)[/tex]

Answer: [tex]y=7x-3[/tex]

              [tex]-17=7(-2)-3[/tex]

Step 2. Solve

[tex]-17=7(-2)-3[/tex]

[tex]-17=-14-3[/tex]

[tex]-17=-17[/tex]

Therefore, [tex](-2,-17)[/tex] is a solution to the inequality

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{We do not know the unknown number just yet so we will label it}\\\large\text{as the variable of \boxed{\bf n}}\large\text{ until we find the result of the unknown}\\\large\text{number}[/tex]

[tex]\large\text{So, your equation is now: \underline{\underline{n + 4.289 = 11}} or \underline{\underline{4.289 + n = 11}}}[/tex]

[tex]\large\textsf{n + 4.289 = 11}\\\large\text{SUBTRACT \underline{4.289} to BOTH SIDES}\\\large\text{n + 4.289 - 4.289 = 11 - 4.289}\\\large\text{CANCEL out: 4.289 - 4.289 because that gives you 0}\\\large\text{KEEP: 11 - 4.289 because that helps you get the n-value}\\\large\text{SIMPLIFY ABOVE AND YOU HAVE YOUR RESULT}\\\large\text{n = \bf 6.711}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf 6.711}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Let the number which should be added is x

ATQ

[tex]\\ \sf\longmapsto x+4.289=11[/tex]

[tex]\\ \sf\longmapsto x=11-4.289[/tex]

[tex]\\ \sf\longmapsto x=6.711[/tex]

6.711 should be added to 4.289 to get 11

[tex]\\ \sf \longmapsto 39+4+q=-14[/tex]

[tex]\\ \sf \longmapsto q+43=-14[/tex]

[tex]\\ \sf \longmapsto q=-14-43[/tex]

[tex]\\ \sf \longmapsto q=-57[/tex]

Answer:

Step-by-step explanation:

The answer is C.

That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.

C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.

let the speed of Gabby be S and the speed of violet be S+18

they drove the same distance(d) so d is constant

S*5=(S+18)*3

5s=3S+54

2S=54

S=27mph

Answer:

14000Kilolitres

Step-by-step explanation:

[tex] 1megalitre = 1000kilolitres \\ [/tex]

[tex]14megalitres = xkilolitres[/tex]

Cross multiply

[tex]14 \times 1000 = xkilolitres[/tex]

[tex]14megaitres = 14000kilolitres[/tex]

Answer:

Geometric mean of a and b: Square root of axb.

16x64 = 1024

Square root of 1024: 32.

So, the geometric mean is 32.

Hope this helps!

Answer:

w = 4.66

Step-by-step explanation:

A . 4 =  18 - 3w

Transpose to find w

3w = 18 -4

3w = 14

w = 14 / 3

w = 4.66

Answer:

Exact form:

w= 14/3

Decimal Form:

w= 4.6

Mixed Number Form:

w= 4 2/3

Step-by-step explanation:

Answer:

I am so lost but if it's how many honk out of how many you saw I would assume 7/7