Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.




-17 + 2(1 + 3x) = x - 5(3 - x)

Step-by-step explanation:

so, it is a quadratic equation :

-3x² + 30x - 90 = 0

the first thing we can do is divide by 3

-x² + 10x - 30 = 0

remember, the formula to solve and find the 2 solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = -1

b = 10

c = -30

x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =

= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =

= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =

= 5 ± -sqrt(5)i

x1 = 5 - sqrt(5)i

x2 = 5 + sqrt(5)i

remember, i = sqrt(-1), a complex number.

Answer 2nd one

Step-by-step explanation:

Answer:

13.1

Step-by-step explanation:

Answer:

$2016

Step-by-step explanation:

Simple Interest equation: I = Prt

So,

P = $4800

r = [tex]\frac{7}{100}[/tex] = 0.07

t = 6

I = (4800) · (0.07) · (6)

Thus,

The simple interest is $2016.

Answer:

Answer:

60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Answer:

w+w+5w = 7w

Step-by-step explanation:

Answer:

7w

Step-by-step explanation:

Answer:

[tex]a_n=-1+(n-1)(-2)[/tex]

Step-by-step explanation:

The arithmetic sequence formula looks like this:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

[tex]a_n=-1+(n-1)(-2)[/tex]

Just to confirm:

[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]

And it works, -5 is the 3rd term in the sequence.

Answer:

[tex]a_{n}[/tex] = 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

Answer

If you are trying to find the area the answer would be 1,256cm

Step-by-step explanation:

1. A≈π r^2

2. A≈(3.14) (20)^2

3. A≈(3.14) (400)

4. A≈ 1,256^2

Answer:

4000

Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4  so u do the same in the equation and it gives you 4000. Pls give brainly if i was right

Answer:

Step-by-step explanation:

(1.2•10^9) divided by (3•10^5)

(1.2 * 10^9) : (3 * 10^5) =

(1.2 * 1000000000) : (3 * 100000) =

1200000000 : 300000 =

4000

Answer:

[tex]2[/tex]

Step-by-step explanation:

Let [tex][n][/tex] denote the area of some polygon [tex]n[/tex].

The sum of the area of quadrilaterals BCDE and MNDE is equal to [tex][ABC]-([MBE]+[NDC]+AMN])[/tex] (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).

Let the area of triangle ABC be [tex]\alpha[/tex].

Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is [tex]1:2^2=1:4[/tex].

Therefore, [tex]\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha[/tex].

Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is [tex]1:2[/tex] because the D is the midpoint of MC, so it follows the ratio of their areas must be [tex]1:4[/tex], respectively.

Therefore, [tex]\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha[/tex].

We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also [tex]1:2[/tex], since E is the midpoint of BN. Their areas are in the ratio [tex]1:2^2=1:4[/tex] and we have [tex]\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha[/tex].

Thus,

[tex]\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}[/tex]

Answer:

25π or 78.5

Step-by-step explanation:

Area of circle = π[tex]r^{2}[/tex]

r = 5

A = π * 5^2

= 25π

= 78.5

Answer:

x = 0

Step-by-step explanation:

Slope = change in y/change in x

Slope = 5-3/1-x

2 = 2/1-x

2(1 - x) = 2

2 - 2x = 2

2 = 2 - 2x

0 = -2x

x = 0

-Chetan K

Answer:

y² + y - 6

Step-by-step explanation:

(y - 2)(+ 1)(y + 3) simplifies to

(y - 2)(y + 3)

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

y(y + 3) - 2(y + 3) ← distribute parenthesis

= y² + 3y - 2y - 6 ← collect like terms

= y² + y - 6

Answer:

10) x=9

11) x=25

Step-by-step explanation:

a triangle is 180º total

10)   2x+8x+90=180

10x=90

x=9

11) 3x+1+2x+2+2x+2=180

7x+5=180

7x=175

x=25

Answer:

If ΔPQR ≅ ΔTSR

Angles:

P and T

Q and S

R and R

Lines:

PQ and TS

QR and SR

PR and TR

Answer:

a+y≤1000 and 25a+12.50y>15000

Step-by-step explanation:

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2x - 5 \quad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}\implies \cfrac{[2(5)-5]~~ - ~~[2(2)-5]}{3} \\\\\\ \cfrac{5-(-1)}{3}\implies \cfrac{5+1}{3}\implies 2[/tex]

Answer:

Step-by-step explanation:

t = tackle score

s = sack score

t = s + 10

t + s = 36

s + 10 + s = 36

2s = 26

s = 13 points

t = 13 + 10 = 23 points

Answer:

5.45 then 6.454 then 5425 then 12825

Step-by-step explanation:

The magnitude of a vector a is the length of the vector.

We write it ||a||

We can draw a right triangle and apply the pythagoras theorem. The magnitude of a will be the hypotenuse :

||a||² = 3² + 3²

||a||² = 9 + 9

||a||² = 18

||a|| = √18 = √(9*2) = 3√2 ≈ 4.24

So the answeer is 4.24

Good Luck

Answer:

(-4,3)

Step-by-step explanation:

nejsjsjssjsususheheueueyeehejebebe

Answer: y = (5/3)x + -1

Step-by-step explanation:

The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.

Answer:

$86.80

Step-by-step explanation:

Answer:

Parallel lines: Line B and C

Perpendicular lines: Line A and B; Line A and C

Step-by-step explanation:

To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.

LINE A

Substituting the first line into the formula, we will get...

(2 - 5)/(0 -(-4))

-3/4

LINE B

Substituting the second line's points into the formula we will get...

(2 - 6)/(3 - 6)

-4/-3

4/3

LINE C

Substituting the third line's points into the formula we will get...

(3 -(-1)/(0 -(-3))

4/3

So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.

And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.

Therefore...

Parallel lines: Line B and C

Perpendicular lines: Line A and B; Line A and C

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line

m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L

Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.

For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that at least one household has a television set is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]

0.99999984 = 99.999984% probability that at least one household has a television set.

A similar problem is given at https://brainly.com/question/24863377

Answer:

The slope is 6, but the equation is below.

Step-by-step explanation:

Y2 - Y1/X2 - X1

36-12/4-0

Or

12-36/0-4

=6

You'll get the same answer either way.

Answer: I can't find the answer :(

B. (−2, −1)

Step-by-step explanation: I don't know :(

From when I am looking at the graph it looks like the answer would be

P= (-2, -1)

Q= (1, -2)

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

Read more about mappings, functions and relations at:

https://brainly.com/question/8892191