Solve.
(12b^2 - 5)(4b^2 + 4)

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

Answer:

25>t

Step-by-step explanation:

25 is more than t

if it is more than that means 25 is greater so "Pacman"would would eat the bigger number

Answer:

lol

riajgeripaeohnpoaetnhaethaehte

Step-by-step explanation:

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

Work Shown:

The scalar (2/5a+6) multiplies with the matrix on the left side to get the matrix on the right side

So this is what your steps could look like

[tex](\frac{2}{5}a+6)\begin{bmatrix}3 \\ -2 \\ 7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}(\frac{2}{5}a+6)*3 \\ (\frac{2}{5}a+6)*(-2) \\ (\frac{2}{5}a+6)*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

[tex]\begin{bmatrix}\frac{2}{5}a*3+6*3 \\ \frac{2}{5}a*(-2)+6*(-2) \\ \frac{2}{5}a*7+6*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}\frac{6}{5}a+18 \\ -\frac{4}{5}a-12 \\ \frac{14}{5}a+42\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

The last matrix equation leads to this system of equations

[tex]\begin{cases}\frac{6}{5}a+18=15 \\ -\frac{4}{5}a-12=-10 \\ \frac{14}{5}a+42=35\end{cases}\\\\\\[/tex]

If we pick any of those equations, and solve for 'a', then we'll get our answer.

---------------------

Let's say we pick the first equation

(6/5)a+18 = 15

(6/5)a = 15-18

(6/5)a = -3

a = -3(5/6)

a = -15/6

a = -5/2

--------------------

If we pick on the second equation, then,

(-4/5)a-12 = -10

(-4/5)a = -10+12

(-4/5)a = 2

a = 2(-5/4)

a = -10/4

a = -5/2

--------------------

Or we could solve the third equation for 'a'

(14/5)a+42 = 35

(14/5)a = 35-42

(14/5)a = -7

a = -7*(5/14)

a = -35/14

a = -5/2

-------------------

You only need to solve one equation to find 'a', though it's good practice to solve all three to see all three rows agreeing with one another.

The multiplication of the matrix by a constant will multiply for each term in the matrix value of the "a" given system of the matrix will be -2.5.

A matrix is a collection of numbers lined up in rows and columns to produce a rectangular array.

In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.

As per the given system of the matrix.

When we multiply anything in a matrix then it will multiply to each and every term of the matrix.

Therefore the (2/5)a + 6 will be multiplied by 3,-2, and 7 each.

So the first term of the left-hand side matrix becomes,[(2/5)a + 6]3

If we compare two matrices then each corresponding term will be the same.

Therefore, the first term of the left-hand matrix = first term of the right-hand matrix

[(2/5)a + 6]3 = 15

6a/5 + 18 = 15

6a/5 = -3

6a = -15

a = -15/6 = -2.5

Hence "The value of the "a" given system of the matrix will be -2.5".

For more about matrices,

brainly.com/question/11367104

#SPJ5

Answer:

B

y = -4x

Step-by-step explanation:

PLZ mark brainliest

Answer:

2.37 ; 1.6731

Step-by-step explanation:

Given the data:

X:___0____1____2____3____4____5

P(x):_0.10_0.15_0.26__0.30_0.15__0.04

the expected frequency of floods per town per summer

Σ(flood per Town per summer) * probability

Σ(X)*p(x)

Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)

= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)

= 2.37

Variance (s²) :

Σ[x². P(x)] - u²

Using an online variance calculator to save computation time :

s² = 16731 / 10000

s² = 1.6731

1/4+2/3

LCM=12

3+8/12

11/12

Answer:

$69

Step-by-step explanation:

23 + 23+23 = $69

Answer:

y= -3/4x-1

Step-by-step explanation:

y-(-4)= -3/4(x-4)

y+4= -3/4x+3

y= -3/4x-1

Answer:

12 bouquets

Step-by-step explanation:

Determine what the greatest common factor is in this case...

72/12 = 6 red roses

60/12 = 5 pink roses

48/12 = 4 yellow roses

As you can see the greatest common factor is 12. Therefore the greatest number of bouquets that the florist can make if no roses are left over should be 12 bouquets.

Answer:

  does not exist

Step-by-step explanation:

The inverse relation is found by swapping x and y, then solving for y.

  x = y^2 +4

  x -4 = y^2

  y = ±√(x -4)

This is the inverse relation. Since it is double-valued, it is not a function.

__

The function given does not pass the horizontal line test, so there is no inverse function.

Answer:

1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%

2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%

3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%

4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%

Answer:

The answer is 0.

Step-by-step explanation:

Step-by-step explanation:

[tex]f(g(x) = 4(2x + 2) - 1 \\ 4(2(5) + 2) - 1 \\ 4(12) - 1 \\ 48 - 1 = 47[/tex]

Answer:

1/3

Step-by-step explanation:

2/3 - 1/3

Since the denominators are the same, we subtract the numerators

1/3

Answer:

1/3

Step-by-step explanation:

Answer:   2.5t + 350 = 3t + 225

t = 250 btw

Answer:

b

Step-by-step explanation:

b

Answer:1/2 a candy bar

Step-by-step explanation:6 / 12 = 1/2

Answer: 1,200.65+ 985.43+ 1,200.23= 3,386.31

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

Because 0.1 is equivalent to 1/10 and 10%

Answer:%80 or 0.8

Step-by-step explanation:

Total = 7.50

Part of 7.50 is 6

The percentage of 6 in 7.50 is  6*100/7.50

0.8* 100

80%

Or you could do it this way:

6/7.5

x10 on both

60/75

by 5 times

12/15

4/5

=0.8

Answer: 1

Step-by-step explanation: 6/2=3      3/3= 1

Answer:

9

Step-by-step explanation:

6 divided by [tex]\frac{2}{3}[/tex] 2 over 3

6/(2/3) = 9

Check- [tex]\frac{2}{3}[/tex]*9 = 6

Answer:

49.09 miles per day

Step-by-step explanation:

There are 5,280 feet in one mile.

There are 60 seconds in one minute.

3 * 60 = 180 feet per minute

There are 60 minutes in one hour.

180 * 60 = 10,800 feet in one hour.

There are 24 hours in one day.

10,800 * 24 = 259,200 feet per day.

Divide to find how many miles she can walk.

259,200 / 5,280 = 49.09 miles

Best of Luck!

Answer:

 |J| = -40

Step-by-step explanation:

The determinant of a 2×2 matrix is the difference between the product along the down diagonal and the product along the up diagonal:

  |J| (-2)(8) -(4)(6) = -16 -24

 |J| = -40

Answer:

|J| = -40

Step-by-step explanation:

Answer:G=1/4 or the same as g=0.25

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

So first, you subtract the g-9g. You get -2 = -8g, correct?

Next, you divide -2 by -8, you then get -2/-8

This simplifies to 1/4.

Hope this helped. :)

Answer:  Possibly, 105 cm³ if it is a triangular prism,  or

Possibly 210 cm³ if it is a rectangular prism

Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.

If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is

(6×5)/2 × 7

30/2 ×7

15 × 7 = 105 cm³ for a triangular prism

If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is

6×5×7 = 210 cm³ for a rectangular prism

Answer:

1.6cm

Step-by-step explanation:

80/50=1.6 cm

Good Luck!

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

Step-by-step explanation:

The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.

The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.

The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.

2x + 3 = 3x + 1 - 2

2x + 3 = 3x - 1

-x = -4

x = 4

Home to school through mall:

2x + 3 = 2(4) + 3 = 11

Home to school through theater:

3x + 1 = 3(4) + 1 = 13

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

Answer:

1.3 more miles i think

Step-by-step e

3.5 hours equal 210 and i divided it by 163 and thats what came up

Answer:

46

Step-by-step explanation:

C:

Its correct dont worry!

By the way I have no idea why I am doing this but have some free emojis :D