Rewrite by completing the square f(x) = x2 - 6x +43

Answers

Answer 1

Answer:

f(x) = (x - 3)^2 + 34

Step-by-step explanation:


Related Questions

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?

Answers

Answer:

Step-by-step explanation:

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.

The distance covered by the snail in 4 days from Monday to Friday morning is,

Distance = 4 days × 18 inches = 72 inches

Distance covered on Friday = 30 inches

Total distance covered = 72 inches + 30 inches = 102 inches

The total distance covered before you leave on Friday is 102 inches.

Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.

Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

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4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter

Answers

Answer:12

Step-by-step explanation: I multiplied 3 times 4

The Lateral Surface Area of cone is 12  π  ft³

what is Lateral Surface area of Cone?

The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point

example:

Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)

Solution: Given that r = 21 units and h = 20 units

Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units

We know, the lateral area of the cone = πrL

Lateral area of a cone = (22/7) × 21 × 29

= 22 × 3 × 29

= 1914 units2

Answer: The lateral surface area of the given cone is 1914 units2

Given:

l= 4 ft

r= 3 ft

Lateral area = πrl

Lateral area = π * 3 * 4

Lateral area = 12 π  ft³

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Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?

Answers

Answer:

Ross's profit it 1,781.37

Step-by-step explanation:

$35 per person and 54 people= 35x54=1890

Profit= the amount of money he makes after his expenses.

1890-108.63=1781.37

Please!!!!! HELP!!!!!!!!!

Answers

for the first question
1. ( 5cm / 2km ) = ( xcm / 5km )
5*5 = 2x
25 = 2x
12,5cm = x
2. similar to (1) but having x as the km and 2 as the cm
5x = 2*2
x = 0,8 km
3. 192:2 to find the ratio of 1 cm to multiply by the length of the map
96*8.125=780cm
4. the are is (base*length)/2
use the same logic of (3) to find the real length of base
5*96=480cm
so for the the area (480*780)/2= 187200cm^2

Help please!!!!!!!!!! Need ASAP!! Thank you!

Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?

Answers

I thinks it's the last one

hope this helps

Answer:

B. 4.5/t + 4.5/(2t) = 1

Step-by-step explanation:

Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2t

Their rate when working together:

6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1

Correct choice is B

Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?

Answers

Answer:

it is 11 years

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest

Answers

Answer:

I. Simple interest = $19.753

II. Compound interest = $1007.6

Step-by-step explanation:

Given the following data;

Principal = $987.65

Interest rate, R = 0.4%

Time, T = 5 years

To find the simple interest;

S.I = PRT/100

S.I = (987.65*0.4*5)/100

S.I = 1975.3/100

S.I = $19.753

II. To find the compound interest;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Substituting into the formula, we have;

[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]

[tex] A = 987.65(1 + 0.004)^{5} [/tex]

[tex] A = 987.65(1.004)^{5} [/tex]

[tex] A = 987.65(1.0202)[/tex]

A = $1007.6

What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)

Answers

Answer:

the perimeter in unites of abc with 3, -3 is a

Answer:

18 Units

Step-by-step explanation:

According to the calculator

can someone help, please :)

Answers

good luck :))))))))))

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answers

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Can someone please help

Answers

Answer:

16.989

Step-by-step explanation:

Cosine angle = adjacent/ hypnosis

Cos 28 = 15/x  Multiply both sides by x

xCos 28 = 15x/x   x/x is 1

xCos 28 = 15(1)  Divide both sides by Cos 28

xCos 28/Cos 28 = 15 / Cos 28   Cos 28 / Cos 28 = 1

x = 15/Cos 28

x = 16.989

 

Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?

Answers

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

What is the ratio?

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

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Review the graph of function g(x).

On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).

Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?

Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence

Answers

Answer:

Kadence Only

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line

Answers

Answer:

plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )

Step-by-step explanation:

Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )

The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model

Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed

You toss a coin 15 times. P( heads) 2/5=

Answers

The answer is

2/5 = 0.4

Because

2/5 2 divide 5 = 0.4

what is the answer for is I need help please. 4/5 - 1/4

Answers

Answer:

11/ 20  

Step-by-step explanation:

it cannot be reduced any further

Answer: 11/20 or in decimal 0.55

Step-by-step explanation:

How can you Divide the number 30 into 4 equal parts? Or can you?

Answers

Answer:

7.5

Step-by-step explanation:

thirty divided by 4 is 7.5 or 7 1/2

Answer:

That might be possible though.

Step-by-step explanation:

If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.

Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you! ​

Answers

Answer:

the second and last one

....................

Complete the input-output table for log4X. How would I solve this?

Answers

Answer:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = log_4(x)[/tex]

[tex]x = 0.5[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(0.5) = log_4(0.5)[/tex]

Apply law of logarithm

[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(0.5) = -0.5[/tex]

[tex]x = 1[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(1) = log_4(1)[/tex]

Express 1 as 4^0

[tex]f(1) = log_4(4^0)[/tex]

Apply law of logarithm

[tex]f(1) = 0*log_4(4)[/tex]

[tex]f(1) = 0[/tex]

[tex]x = 2[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(2) = log_4(2)[/tex]

Apply law of logarithm

[tex]f(2) = \frac{log(2)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(2) = 0.5[/tex]

[tex]x = 4[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(4) = log_4(4)[/tex]

[tex]log_a(a) = 1[/tex]

So:

[tex]f(4) = 1[/tex]

[tex]x = 8[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(8) = log_4(8)[/tex]

Apply law of logarithm

[tex]f(8) = \frac{log(8)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(8) = 1.5[/tex]

So, the complete table is:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.

Answers

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

If M is the midpoint between A and C, given A(2,9) and M(0,7). Use desmos to help
The endpoint C is

Answers

Answer:

(1, 8)

Step-by-step explanation:

What is the value of x in the triangle?

Answers

Answer:

C) 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in an isosceles triangle, the hypotenuse equals a leg multiplied by [tex]\sqrt{2}[/tex]

Need help ASAP!!!
Solve for the missing angle.

Answers

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

SOLVE

270.6 is 16 1/2% OF WHAT NUMBER?

WILL GIVE BRAINLIST




X
X
X
X
X
X
X

Answers

Answer:

165 po ang answer promise po

Answer:1640

To find the % then we have too times the 16 /12% by something right?

After some guessing their is my answer

Hope this helps :)

If you are reading this hope you have a wonderful day!

HELP ME PLEASEEEEEEEEE

Answers

Answer:

is it 56 units²? if not sorry

solve the inequality y + 7/10 < 2

Answers

Answer:

y<13/10

Step-by-step explanation:

A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)​

Answers

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.

You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.

Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600

After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.


Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749

These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?

Answers

Answer:

η²

SSbetween / SStotal

η² = 0.0145757

Step-by-step explanation:

Effect size, η² = SSbetween / SStotal

SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.

The sum of square Total, SStotal measures the entire variability in these dataset.

SSbetween = 3,095.00 ; SStotal = 212,339.66

η² = SSbetween / SStotal

Effect size η²= 3,095.00 / 212,339.66

Effect size = 0.0145757

The reciprocal of 7 1/2 is

Answers

Answer:

2/15

Step-by-step explanation:

To find the reciprocal of a fraction switch the numerator and the denominator

7 1/2 = 15/2 = 2/15

Have a good day

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