Help please within the next hour
Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
a. –9
b. 8
c. 9
d. 36

the answer of ur question is 0.25

Answer:

Step-by-step explanation:

9989898989

The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

To find the reflection of vector v in the line l, we need to decompose vector v into two components: one component parallel to the line l and the other component perpendicular to the line l. The component parallel to the line l is obtained by projecting v onto w, which gives us:

proj_w(v) = ((v dot w)/||w||^2) * w = (68/5) * [22,-1] = [149.6, -6.8]

The component perpendicular to the line l is obtained by subtracting the parallel component from v, which gives us:

perp_w(v) = v - proj_w(v) = [293,0,0] - [149.6, -6.8, 0] = [143.4, 6.8, 0]

The reflection of v in the line l is obtained by reversing the direction of the perpendicular component and adding it to the parallel component, which gives us:

refl_l(v) = proj_w(v) - perp_w(v) = [149.6, -6.8, 0] - [-143.4, -6.8, 0] = [-17, 192, 73]

Therefore, the reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

Learn more about reflection here

https://brainly.com/question/29788343

#SPJ11

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

B and C

Step-by-step explanation:

IT is found that B. 56 mph and C. 48 mph car speed measurements represent the same level of accuracy compared to the speed limit sign.

Speed can be calculated as the ratio of distance traveled to the time taken

We can see that As the speed limit on the highway is 60 miles per hour and the speeds mentioned above are below the speed limit.

The legal top speed at which a vehicle may travel on a specific section of road is determined by speed limits for road traffic, since they are utilized in the most of countries.

On a traffic sign, it is known that the maximum allowed speed is typically displayed and expressed in kilometers per hour (km/h) or miles per hour (mph).

Learn more about speed limit here:

brainly.com/question/10492698

#SPJ2

The area occupied by the ship is 10 inches².

The area of a parallelogram is -

A{||gm} = base x height

Given is that Ships in a first generation video game were modeled like the one shown in the image.

We can write the area occupied by the ship as -

Area = A{||gm} + A{triangle}

Area = {b x h} + {L x B}

Area = \($(3\frac{2}{5}\times 2)\;+\; (3\frac{2}{5}-1)\times1\frac{1}{3}\)

Area = (17/5 x 2) + (17/5 - 1) x (4/3)

Area = 34/5 + 12/5 x 4/3

Area = 34/5 + 16/5

Area = 50/5

Area = 10 inches²

Therefore, the area occupied by the ship is 10 inches².

To solve more questions on areas, visit the link -

brainly.com/question/30098550

#SPJ1

Answer:

132.6

ajahahajajjajaajiaiajdjrue

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

Read more on   discrete random variable here

https://brainly.com/question/17217746

#SPJ4

The partial fractions technique is a method for expressing a rational function as a sum of simpler fractions. In this case, we want to write the function f(x) = x^3/(x^4 + 125x^2 + 2500) as a sum of partial fractions.

To do this, we first factor the denominator: x^4 + 125x^2 + 2500 = (x^2 + 25)^2. This suggests that we use the following form for the partial fractions:
f(x) = A/(x^2 + 25) + B/(x^2 + 25)^2
where A and B are constants that we need to solve for. To find A and B, we multiply both sides of this equation by the common denominator (x^4 + 125x^2 + 2500) and then substitute in x = 0 and x = ±5i (since these are the roots of x^2 + 25)

x = 0: A/(0^2 + 25) + B/(0^2 + 25)^2 = 0^3/(0^4 + 125(0)^2 + 2500) = 0
=> A/25 = 0 => A = 0
x = 5i: A/(5i^2 + 25) + B/(5i^2 + 25)^2 = (5i)^3/[(5i)^4 + 125(5i)^2 + 2500]
=> -Ai/25 + Bi/(25)^2 = -125i/5000 => -Ai + Bi/625 = -5i/400 => A = -5/4, B = -125/8
x = -5i: A/(-5i^2 + 25) + B/(-5i^2 + 25)^2 = (-5i)^3/[(-5i)^4 + 125(-5i)^2 + 2500]
=> Ai/25 + Bi/(25)^2 = 125i/5000 => Ai + Bi/625 = 5i/400 => A = 5/4, B = -125/8
Thus, we have:

f(x) = 0 + (-5/4)/(x^2 + 25) + (-125/8)/(x^2 + 25)^2
This is the partial fraction decomposition of f(x).
Hi! Using the partial fractions technique, the function f(x) = x^3 / (x^4 + 125x^2 + 2500) can be decomposed into a sum of simpler partial fractions, which will make it easier to integrate or analyze the function. To do this, you need to factor the denominator and then rewrite the given function as a sum of simpler fractions with those factors in the denominators. Unfortunately, in this case, the denominator is not easily factorable, which makes it difficult to apply the partial fractions technique directly. You may need to further analyze or simplify the problem before attempting partial fractions.

To know more about Method  click here .

brainly.com/question/14560322

#SPJ11

Answer:

4 liters

Step-by-step explanation:

Answer:

4 liters is a little more than a gallon

Step-by-step explanation:

hope this helps :)

Answer:

$139.84

Step-by-step explanation:

if you do 18.75 × 3 it equals 56.25

add up 56.25 + 23.60 + 59.99 and it equals 139.84

Hope this helps!

Answer:

less than or equal to the test statistic.

Step-by-step explanation:

Answer:

The remainder is -1

The binomial is not a factor of the polynomial

Step-by-step explanation:

In the algebraic division, there are 4 terms

The remainder theorem:

Let us use it to solve the question

∵ The dividend is x² - 2

∴ f(x) = x² - 2

∵ The divisor is x - 1

∴ (x - h) = (x - 1)

∴ h = 1

Let us find f(1)

∵ f(1) = (1)² - 2 = 1 - 2 = -1

∴ f(1) = -1

∴ The remainder is -1

∵ f(1) ≠ 0

∴ x - 1 is not a factor of x² - 2

∴ The binomial is not a factor of the polynomial

The probability that a basketball player with a 71% free throw shooting accuracy does not make his next free throw shot is 29%.

The probability that a basketball player with a 71% free throw shooting accuracy does not make his next free throw shot.
To calculate the probability of missing a free throw shot, we need to subtract the shooting accuracy percentage from 100%.

In this case, the probability of making a free throw is 71%, which means the probability of missing the free throw is 29%.

Therefore, the probability that the basketball player does not make his next free throw shot is 29%.
It is important to note that free throw shooting accuracy can vary depending on the player's physical and mental condition, as well as external factors such as the audience's noise, the game's pressure, and the distance from the basket.

Thus, it is crucial for basketball players to train and practice regularly to improve their shooting skills and increase their chances of making free throw shots.
To answer this, we need to consider the complement of the success probability.

Since the player has a 71% chance of making the free throw, it means there is a 29% chance that he will not make it (100% - 71% = 29%).

The probability can also be expressed as a decimal, which is 0.29 (29/100 = 0.29).

Therefore, the probability that your favorite basketball player does not make his next free throw shot is 29% or 0.29.
For similar question on probability:

https://brainly.com/question/30034780

#SPJ11

Answer:

\(b > \dfrac{77}{15}\)

Step-by-step explanation:

We have the inequality

\(\dfrac{23}{5} < b-\dfrac{8}{15}\)

Switch sides:
\(b-\dfrac{8}{15} > \dfrac{23}{5}\\\\\\\mathrm{Add\:}\dfrac{8}{15}\mathrm{\:to\:both\:sides}:\\\\b-\dfrac{8}{15}+\dfrac{8}{15} > \dfrac{23}{5}+\dfrac{8}{15}\\\\\)

Left side is b

Right side is evaluated as follows

\(\dfrac{23}{5} = \dfrac{69}{15} \quad\quad\text{(multiply numerator and denominator by 3)}\)

\(\dfrac{23}{5}+\dfrac{8}{15} = \dfrac{69}{15}+\dfrac{8}{15} \\\\= \dfrac{77}{15}\)

So the inequality becomes
\(b > \dfrac{77}{15}\)

Answer:

b > 77/15

Step-by-step explanation:

\( \frac{23}{5} < b - \frac{8}{15} \\ - b < - \frac{8}{15} - \frac{23}{5} \\ - b \: < - \frac{ 8}{15} - \frac{69}{15} \\ - b < - \frac{77}{15} \\ - b < - 5 \frac{2}{15} \\ b > 5 \frac{2}{15} \)

Or

23/5 < b - 8/15

69/15 < b - 8/15

77/15 < b

B > 77/15

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23\)

The coordinates of equation y is (0, 3), (1, 4) and (3,5).

The graph is attached below.

The graph's x-axis (horizontal line) should contain the independent variable, and the y-axis should contain the dependent variable (vertical line). At the origin, where the coordinates are, the x and y axes intersect (0,0).

Given:

y= x+ 3.

Now, put x= 0

y= 0+3

y=3

and, x= 1

y= 1+3

y= 4

and, x= 2

y= 2+ 3

y= 5

Thus, the coordinates of equation y is (0, 3), (1, 4) and (3,5).

Learn more about equation here:

https://brainly.com/question/14198209

#SPJ9

The Questions attached here is seems to incomplete, the options for the graph is attached below.

Answer: it is 1,3,4

Step-by-step explanation:

Answer: A, C, B

Step-by-step explanation:

Because "a" has 8 across

And "c" has 10 across

and "b" has 13 across

Offering a new product to an established or new market, offering an established product to a new market, or creating a new organization is the entrepreneurial act of new entry.

A new firm, product, or service entering the market is referred to as an entrepreneurial act of new entrance. Finding a market opportunity and creating a special offering that differentiates the company from rivals already in the market are both necessary steps.

A fresh entry can take many different forms, such as the launch of an entirely new good or service that fills a need in the market, the entry into an established market using a unique strategy or business model, or the entry into a new geographic market with an already well-known good or service.

Learn more about entrepreneurship:

brainly.com/question/14398519

#SPJ4

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

For more information about equation, visit:

https://brainly.com/question/22688504

#SPJ11

Answer:

straight diagonal line, it passes through (0, 10) and (5, 0)

Answer:

10

Step-by-step explanation:

it is Pythagoras theorem

6*6=36

8*8=64

64+36=100

square root of 100 is 10

Answer:

54 feet of yarn

Step-by-step explanation:

We have a conversion rate of

1 yard = 3 feet

Sarah has 4 pieces of yarn that are 6 yards each.

Hence,

1 yard = 3 feet

6 yards = x

Cross Multiply

x = 6 × 3 feet

x = 18 feet

Therefore, 4 pieces of yarn are 18 feet each

Hence, total feet of yarn above = 4 × 18 feet = 72 feet

She uses 9 pieces of yarn that are each 2 feet long.

Total feet of yarn here is:

9 × 2 feet = 18 feet of yarn

Therefore, the amount of yarn Sarah have left is calculated as:

72 feet - 18 feet

= 54 feet of yarn

Answer:

372

Step-by-step explanation:

Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:

714 - 342 = 372

The chance of finding a defective headset is 2.5%

The given parameters are:

Total = 280

No defects = 273

The number of defective headsets is:

Defective = 280 - 273

Evaluate

Defective = 7

The probability that a defective headset is selected is:

P(Defective) = 7/280

Express as percentage

P(Defective) = 2.5%

Hence, the chance of finding a defective headset is 2.5%

Read more about probability at:

https://brainly.com/question/251701

#SPJ4

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

Learn more about rounding numbers here:

https://brainly.com/question/13391706

#SPJ4

Answer:

\(\boxed{\sf x=-4}\)

Step-by-step explanation:

\(\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6\)

\(\boxed {\sf Expand: \: Use \: the \:distributive \:property}\)

\(\sf 6\left(x+2\right)+6\)

→ \(\sf 6x+12\)

\(\sf -3\left(x+4\right)-6\)

→ \(\sf -3x-18\)

____________________

\(\sf 6x+18=-3x-18\)

\(\boxed{\sf Subtract\: 18 \: from \: both\: sides:}\)

\(\sf 6x+18-18=-3x-18-18\)

\(\sf 6x=-3x-36\)

\(\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}\)

\(\sf 6x+3x=-3x-36+3x\)

\(\sf 9x=-36\)

\(\boxed{\sf{Divide\:both\:sides\:by\:}9}\)

\(\sf \cfrac{9x}{9}=\cfrac{-36}{9}\)

\(\sf x=-4\)

_________________________

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

To know more about measure, visit:

https://brainly.com/question/28913275

#SPJ11