The area of a rectangle is represented by 12n^2 - 19n – 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n + 4
C. 14n - 8
D. 14n + 8
pls help!!!

Answer:

Step-by-step explanation:

A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:

[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...

If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:

y - 0 = 4(x - 4) and

y = 4x - 16

Answer:

Answer above is correct!

First Box: 4

Second Box: -16

Step-by-step explanation:

Hope this helps :D

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Answer:

4. SAME SLOPE, SAME Y INTERCEPT.

When this happens... The system of Equations has an Infinite Number of solutions.

A IS YOUR ANSWER

5.

A system of Equations has no solution when the graph of the system are PARALLEL LINES.

OPTION D IS YOUR ANSWER.

Answer:

30

Step-by-step explanation:

10/100 = x/300

10x300=3000

3000/100 = 30

Answer:

-17/20

Step-by-step explanation:

7/12 + x = -4/15

Subtract 7/12 from both sides

x = -4/15 - 7/12

Use 60 as common denominator

x = -16/60 - 35/60

x = -51/60

Reduce

x = -17/20

Answer:

(x2+1)(x+1)(x−1)

Step-by-step explanation:

Thats the answer

Answer:

a^2+b^2=c^2 A and b need to add upp to c^2

Step-by-step explanation:

3^2+4^2=5^2

9+16=25

25=25

8^2+15^2=17^2

64+225=289

289=289

Uniform would most likely be characteristics of the histogram obtain.

A histogram is a rough representation of the distribution of numerical data. The term was first coined by Karl Pearson.

The histogram is the width of the area covered by the x-axis bars. These are approximate values ​​because the histograms show the bin values ​​instead of the original data values.

If a histogram is bell-shaped, it can be modestly described by its center and width. The center is the location of its axis of symmetry. The spread is the distance between the center and one of its inflection points.

To learn more about histogram, refer;

https://brainly.com/question/16819077

#SPJ2

Answer:

When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.

When the number of columns in A [tex]\neq[/tex] the number of rows in B.

The matrix-vector is not defined.

Step-by-step explanation:

For example:-

Step 1:

Let's assume

[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2                 &       [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1

Since matrix multiplication of matric A and matrix B is only possible,

When the number of columns in A = Number of rows in B.

Step 2:

Let's A as m x n; Here m = rows and n=columns

B as p x q; Here p = rows and q=columns.

When n [tex]\neq[/tex] p, the matrix-vector is not defined.

That is matrix multiplication Ax is not possible.

Hence the matrix is not defined.

Answer:

n= 2x-6y

Step-by-step explanation:

So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:

1.  This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]

2. Let's use the power to power rule on the left and multiply 1/2 by n:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

3. Next, lets take the log of both sides and use the properties of logarithms:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]

c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)

d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]

e. After we do this, we can use the same property of bringing down the exponent on the right side:

f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]

g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:

h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:

l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]

m. Lastly, let's cancel and distribute:

n. [tex]n =2(x-3y)[/tex]

o. [tex]n=2x-6y[/tex]

Answer:

multiply by 2

Swings to track

20in = 40 yards

Track to bb court

8 in = 16 yards

how much further is the track from the swings

than from the bb court

40 - 16 = 24 yards

Answer:

[tex](0,0)[/tex]   [tex](4000,0)[/tex] and [tex](500,79)[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

[tex]\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW[/tex]

[tex]\frac{dW}{dt} = -0.02W + 0.00004RW[/tex]

To solve this, we first equate [tex]\frac{dR}{dt}[/tex] and [tex]\frac{dW}{dt}[/tex] to 0.

So, we have:

[tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]

[tex]-0.02W + 0.00004RW = 0[/tex]

Factor out R in [tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]

[tex]R(0.09(1 - 0.00025R) - 0.001W) = 0[/tex]

Split

[tex]R = 0[/tex]   or [tex]0.09(1 - 0.00025R) - 0.001W = 0[/tex]

[tex]R = 0[/tex]   or  [tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

Factor out W in [tex]-0.02W + 0.00004RW = 0[/tex]

[tex]W(-0.02 + 0.00004R) = 0[/tex]

Split

[tex]W = 0[/tex] or [tex]-0.02 + 0.00004R = 0[/tex]

Solve for R

[tex]-0.02 + 0.00004R = 0[/tex]

[tex]0.00004R = 0.02[/tex]

Make R the subject

[tex]R = \frac{0.02}{0.00004}[/tex]

[tex]R = 500[/tex]

When [tex]R = 500[/tex], we have:

[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

[tex]0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0[/tex]

[tex]0.09 -0.01125 - 0.001W = 0[/tex]

[tex]0.07875 - 0.001W = 0[/tex]

Collect like terms

[tex]- 0.001W = -0.07875[/tex]

Solve for W

[tex]W = \frac{-0.07875}{ - 0.001}[/tex]

[tex]W = 78.75[/tex]

[tex]W \approx 79[/tex]

[tex](R,W) \to (500,79)[/tex]

When [tex]W = 0[/tex], we have:

[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

[tex]0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0[/tex]

[tex]0.09 - 2.25 * 10^{-5}R = 0[/tex]

Collect like terms

[tex]- 2.25 * 10^{-5}R = -0.09[/tex]

Solve for R

[tex]R = \frac{-0.09}{- 2.25 * 10^{-5}}[/tex]

[tex]R = 4000[/tex]

So, we have:

[tex](R,W) \to (4000,0)[/tex]

When [tex]R =0[/tex], we have:

[tex]-0.02W + 0.00004RW = 0[/tex]

[tex]-0.02W + 0.00004W*0 = 0[/tex]

[tex]-0.02W + 0 = 0[/tex]

[tex]-0.02W = 0[/tex]

[tex]W=0[/tex]

So, we have:

[tex](R,W) \to (0,0)[/tex]

Hence, the points of equilibrium are:

[tex](0,0)[/tex]   [tex](4000,0)[/tex] and [tex](500,79)[/tex]

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

Answer:  12.5

Step-by-step explanation:   Well 50 diviedby 4 = 12.5

Step-by-step explanation:

→ P = 2L + 2W

→ P = 2(L + W)

→ P ÷ 2 = L + W

→ (P ÷ 2) - W = L

We can use this formula to to calculate the length.

Answer:

36

Step-by-step explanation:

Least Common Multiple of 9 and 12

Factor each into prime factor

9 = 3  * 3

12 = 2 * 2 * 3

LCM is the greatest number of different prime factors from each

LCM = 3 * 3 * 2 * 2

LCM = 36

Answer:

36 hotdogs

Step-by-step explanation:

36 ÷ 9 = 4

36 ÷ 12 = 3

Hope this helps!

-kiniwih426

Answer:

1/(e - 1)  

Step-by-step explanation:

ln (1 + x) = 1 + ln (x)

ln (1 + x) - ln (x) = 1

ln ((1 + x)/x) = 1

(1 + x)/x = e = 1 + 1/x

x = 1/(e - 1)

Answer:180 u

Step-by-step explanation:

Answer:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

Step-by-step explanation:

Given

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

Required

The domain

Equate the denominator to 0

[tex]3x - 6 = 0[/tex]

Solve for x

[tex]3x = 6[/tex]

[tex]x = 2[/tex]

This means that the value of x cannot be 2 for the given function.

So, the domain is:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

Answer:

a=4, b=-3

Step-by-step explanation:

If it is vertical, then the y coefficient must be equal to zero, which means b = -3. When y is 0, a*3=2*3+6, which means a=4.

Answer:

a=4

b=-3

Step-by-step explanation:

ax+by=2x-3y+6 is vertical and passes through (3,0) which means the equation should be equivalent to x=3.

If we want the y's to cancel we need -3y on lefy since we have it on right so b=-3.

So now the equation is ax=2x+6

If ax=2x+6 and x=3, by substitution property we have a(3)=2(3)+6.

Let's solve for a.

3a=6+6.

3a=12

a=12/3

a=4.

a=4

b=-3

Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!

Answer:

??

Step-by-step explanation:

hope it helps you ♡♡

Answer:

x = 60

Step-by-step explanation:

The sum of the angles in a triangle is 180

40 + x+20 + x = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x+60-60 =180-60

2x =120

Divide by 2

2x/2 =120/2

x = 60

Step-by-step explanation:

option 2 is the answer....