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Please help me
Use (x − 4)^2 − 28 = 8 for the following:
a. Explain why (x − 4)^2 − 28 = 8 has two solutions. (5 pts)
b. Solve the equation to find the solutions. Show your work. (5 pts)
Answers
Answer:
a) Because both sides are perfect squares b) (x-4)² – 28 = 8
(x–4)² = 36
Square root both sides
√(x–4)² = √36
x–4 = 6
x= 10
Step-by-step explanation:
(x–4)(x–4) = 36
x² – 8x+ 16 = 36
x² – 8x – 20 = 0
(x² + 2x)( –10x – 20) = 0
x(x+2) – 10(x+2) = 0
(x+2)(x–10) = 0
x = 10 or –2
x = 10
a. If the power of x is 2 then the value of x will be 2.
b. The values of the x are 6 and -2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
a. If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.
b. The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
On simplifying
Add 28 both the sides, we have
[tex]\rm (x- 4)^2 = 36[/tex]
Taking square root both the sides, then we have
[tex]\rm x- 4 = \pm 6[/tex]
Add 4 both the sides,
[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]
Thus, the values of x are 6 and -2.
More about the simplification link is given below.
https://brainly.com/question/12616840
Brandon needs to order some new supplies for the restaurant where he works. The restaurant needs at least 549 spoons. There are currently 273 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Brandon could buy for the restaurant to have enough spoons.
Answers
Answer:
28 sets
Step-by-step explanation:
Because 10x3=30+73=103 then 103+200=303 keep that in mind then you
^
3 sets
Do 549-303=246=25 sets then 25 sets+3sets=28 sets
Answer:
Inequality: 10s + 273 ≥ 549
Answer: s ≥ 27.6
Step-by-step explanation:
Have a good day :)
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
Answers
Answer:
$24,992
Step-by-step explanation:
The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.
I = (17,600)(0.084)(5)
I = 7,392
The total amount that must be repaid is the interest + the principal:
7,392 + 17,600 = 24,992
Please let me know if you have questions
What is the distance between (2,8) and (8, 16)?
Answers
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
(6, 8)
Step-by-step explanation:
please mark this answer as brainliest
Answer:
10
Step-by-step explanation:
please help no links please.
Answers
Answer:
I think it's A, if you just subtract 25 from each top # you should get the right one
edit; yah it's A
Answer:
B is the correct answer
Step-by-step explanation:
Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.
Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.
225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650
Only B matches the description of 1650 total containers. So, B is your answer.
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
Answers
Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answers
Answer: 1324 in^2
Step-by-step explanation:
Write the equation that results from transmitting the absolute value equation down 4. Y=|x|
Answers
Answer:
y = |x| - 4
Step-by-step explanation:
this translates the function y down by 4 as is required
Please help me FAST (no links!)
Answers
Answer:
A.
Step-by-step explanation:
42/48=7/8
40/48=5/6
(お役に立てれば！)
Find the interest earned on $5,750 deposited into a savings account for 3 1/2 years at an annual interest rate of 4.5%
Answers
interest = (5750)(0.045)(3.5)
interest = $905.63
The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.
Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
= 2587.75*3.5
= 905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.
Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Learn more about interest here:
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A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answers
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
someone help me answer this
Answers
Answer:
a = 65 yd is the answer.
Step-by-step explanation:
a = ?
b = 72 yd
c = 97 yd
According to the Pythagoras theorem,
a² + b² = c²
a² + 72² = 97²
a² + 5184 = 9409
a² = 9409 - 5184
a² = 4225
a = 65 yd
∴ a = 65 yd is the length of the missing leg.
which of the following is equal to the rational expression?
Answers
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answers
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,
(x-6)² = x² - 12x + 36
Hence, the correct option is C.
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Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.
Answers
9514 1404 393
Answer:
11.1
Step-by-step explanation:
The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.
x^2 + 14.2^2 = 18^2
x^2 = 122.36
x = √122.36 ≈ 11.1
The length of the tangent is about 11.1 units.
Write the ratio as a fraction in the simplest form:
36 months to 3 years
Answers
Answer:
1
Step-by-step explanation:
36 months is equal to 3 years.
There are 12 months in a year.
36/12=3
3/3=1
PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!
Answers
Answer:
11
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle with sides 9 and 6
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]
Use c and the height 2 to find the hypotenuse of the triangle with the dotted line
[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]
the dotted line is 11
Help please thanks!!!
Answers
Answer:
Four tenths
Step-by-step explanation:
You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answers
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23
Compare the costs of bike trips from the two companies
shown. For both, the cost is a linear function of the
number of days.
Which statement is true?
Backcountry Tours
Scenic Pathways
Number of Days
on Trip (d)
Cost of trip (5)
1
45
charges $25 to sign up
and $35 per day
2
90
3
135
4
180
5
225
Scenic Pathways has no sign-up fee
and a greater cost per day.
Backcountry Tours has a lower
sign-up fee and a greater cost per
day.
Scenic Pathways has a higher
sign-up fee and a greater cost per
day.
Backcountry Tours has a higher
sign-up fee and a greater cost per
day.
Answers
Answer:
Step-by-step explanation:
The answers is Scenic pathway has no sign up fee and a greater cost per day
can someone plz help no links plz
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Then we move to the parenthesis and do 4^2 second
That gives us 16 and since we are still in the parenthesis we subtract 16-13 next
Now we work from left to right so we do
8(3) next
Then 24 divided by three
Then 4(3)
Then last we add 33+12
At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
Answers
Find the lateral area of the prism.
4cm
3cm
6cm
5cm
Lateral Area = [?]cm2
Answers
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Freddy swims at the community center each week. He wonders about the area of
the pool. He thinks he cannot figure it out because the pool is not rectangular. Can
you figure out the area of the swimming pool at Freddy's community center?
Answers
Answer:
Yes you can.
Step-by-step explanation:
Multiply length x width.
Other:
If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.
Can someone please help me?
Answers
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
Could you please answer? I'm on a big test
Answers
Answer:
it is option C
Step-by-step explanation:
download to help your work
1/ a cube and b to the power 4
John is moving from Portland to Sacramento, which is 600 miles away. He is traveling at an average speed of 55 miles per hour. Jon stops for gas after a couple of hours and wonders how much further he needs to go. If y represents distance from Sacramento and x represents time, which linear equation would indicate the amount of miles Jon still has to travel to Sacramento?
Answers
600-55x=y
Are you supposed to solve? Couple=2
If you plug in 2 to x you can solve
Are there any answer choices?
Answer:
Y=-55x + 600
Step-by-step explanation:
HELP MEEEE !!!
Plsssss
Answers
This is because you have to work out the range of both periods
The range is the highest number - the lowest number
Range for period 1: 92-81=11
Range for period 3:92-74=18
As you can see the range for period 3 is 7 points greater than period 1 therefore the answer is the second option ( option B)
Hope this helped
What do you need to do first to solve this equation? -62 +4= -20
Answers
Answer:
Add -62 and 4
Step-by-step explanation:
Step-by-step explanation:
-62+4=-20
-58=-20
58=20