All categories

3 years ago

What is (1-7x)(1+9x)

Mathematics

2 answers:

Vikentia [17]3 years ago

7 0

Answer:

1+2x-63x^2

Step-by-step explanation:

factor 1(1+9x)=1+9X

-7x(1+9x)=-7x-63x^2

add 1+9x-7x-63x2

Sveta_85 [38]3 years ago

5 0

ANSWER

$(1-7x)(1+9x) =- 63 {x}^{2} + 2x + 1$

EXPLANATION

The given product is (1-7x)(1+9x).

Expand using the distributive property.

$(1-7x)(1+9x) = 1(1 + 9x) - 7x(1 + 9x)$

$(1-7x)(1+9x) = 1 + 9x - 7x - 63 {x}^{2}$

Simplify to obtain:

$(1-7x)(1+9x) = 1 + 2x - 63 {x}^{2}$

You can rewrite in standard form to get,

$(1-7x)(1+9x) =- 63 {x}^{2} + 2x + 1$

You might be interested in

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

Kaylis [27]

Answer:

Option D.

Step-by-step explanation:

The given parent function is

$f(x)=\dfrac{1}{x}$

The given function is

$g(x)=\dfrac{1}{x+4}-6$

Using the parent function, the given function can be written as

$g(x)=f(x+4)-6$ ...(1)

The translation is defined as

$g(x)=f(x+a)+b$ .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=4>0$ , it means the graph shifts 4 units left.

$b=-6$ , it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

7 0

3 years ago

Read 2 more answers

Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have

serg [7]

Answer:

On average, customer spends approximately 98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately 98 min at Little’s Law Firm

3 0

3 years ago

Will Give Brainliest, Answer ASAP m∠O = <br> m∠N =

irina1246 [14]

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

6 0

3 years ago

Need help on number 2 plz I appreciate it thank you so much

vladimir1956 [14]

Answer:

$\angle PQR$ , $\angle SQR$ , and $\angle PQS$

angle PQR, angle SQR and angle PQS

Step-by-step explanation:

The three different angles in the diagram are angle PQR, angle SQR and angle PQS.

Another way of writing this is using an angle sign before the alphabets follows. Thus:

$\angle PQR$ , $\angle SQR$ , and $\angle PQS$

6 0

3 years ago

Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over?

MatroZZZ [7]

Answer: she would have 6 bottles left, (18/2)/6

Step-by-step explanation:

she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.

8 0

2 years ago