Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation
Answer:
x = 17, -3
Step-by-step explanation:
I'm not sure why this is the answer I only know because I've had it before
pretty sure you have to use (b/2) ^2
The complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Rearranging the equation x² - 51 = 14
x²- 14x -51 = 0
x² - 14x + 49 - 49 - 51 = 0
(x - 7)² = 100
x - 7 = √100
x - 7 = ± 10
Taking RHS positive,
x - 7 = 10
x = 17
Taking RHS negative
x - 7 = -10
x = 7 - 10
x = -3
Thus, the complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.
Learn more about polynomial function here:
https://brainly.com/question/12976257
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A dozen eggs cost $2.49. What is the cost per egg?
Answer:
i think its $0.20
Step-by-step explanation:
12 1
------ = ---------
2.49 0.20
1 egg = $0.20
Hi! Need help with 5(c).
Given the quadratic equation rx? + (r - 1)x + 2r + 3 = 0, where r is a non-zero integer, find the
value of r such that
(a) one root is negative of the other root,
(b) one root is the reciprocal of the other root,
(c) one root is twice the other root.
b one root is negative of the other root
Write an algebraic expression to represent the situation.
Gabriella ran 4.7 more miles than Aaron.
(Thanks!)
Answer:
4.7>a
i think that's correct??
I NEED HELP ASAPPPPP 6
Directions - Create a Pythagorean Theorem equation for the diagram, then solve for
the unknown side. If necessary, round to two decimal places.
X
9
Equation:
X =
Answer:
9²=6²+?²
81-36=?²
?=√45=3√5
I will give brainliest if you will be the first to be my friend on Nitro Type!!
The bottom says that I have $1,269,530. If I added $15,000,000 to that and then divided by 81, How much money will I have then?
Answer:
$200858.40
Step-by-step explanation:
1,269,530 + 15,000,000 = 16,269,530
16,269,530/81
= 200858.40
I'll be your friend on there sorry I probably won't be your first
Hope I helped!!
btw I LOVE Vampire Diaries
how does the decimal piont move whenever you rewrite a percent as a decimal and when you rewrite the decimal as a percent?
I need help with the question below.
Please show workings.
Question : Given
[tex]6 < x < 7[/tex], which of the following could be values of x :
1.
[tex] + \sqrt{36} [/tex]
2.
[tex]2\pi \: r[/tex]
3.
[tex] \frac{14}{2} [/tex]
4.
[tex] \frac{1}{0.15} [/tex]
5.
[tex] \frac{ {( - 5)}^{2} }{4} [/tex]
6.
[tex] \tan(81) \: degree[/tex]
(tan 81°)
9514 1404 393
Answer:
4, 5, 6, maybe 2
Step-by-step explanation:
You're looking for values strictly between 6 and 7. In decimal, the number will have a leading digit of 6 and a non-zero decimal fraction.
1. √36 = 6 . . . out of range
2. 2πr ≈ 6.28r . . . value depends on r (presumed not in range)*
3. 14/2 = 7 . . . out of range
4. 1/0.15 ≈ 6.666...(repeating) . . . in range
5. 25/4 = 6.25 . . . in range
6. tan(81°) ≈ 6.31... . . . in range
____
* of course, 2π will be in range.
The runner covers a 100 meters in 9.7 seconds. What is her speed?
sentence answers only please?
Answer:
10.3 m/s
Step-by-step explanation:
Speed = Distance / Time
100 metres travelled in 9.7 seconds means that her speed was 100/9.7 metres per second, which is 10.30927... rounded to 10.3 metres per second.
Evaluate the algebraic expression by using the distributive property: 7(7x+y)
Answer:
Step-by-step explanation:
14x + 7y is the correct answer
Answer:
yo mama
Step-by-step explanation:
A movie theater sells out 7 times per month. Chloe counted 168 sellouts at the theater. How long was Chloe recording sales?
A. 7 years
B. 2 years
C. 1 year
D. 24 years
More questions will be asked in the comments
Answer:
B. 2 years
Step-by-step explanation:
use y = mx + b
y = total number of sell outs = 168
m = sell outs per month = 7
x = months
b is not needed for this
168 = 7x
divide both sides by 7
x = 24
divide 24 by 12 to get the number of years
years = 2
Answer:
the answer to this question is B. 2 years
9 to the second power multiply by 3 to the 6 power =3 to the ? power
Answer:
Step-by-step explanation:
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]
[tex](a^{m})^{n}[/tex] = [tex]a^{mn}[/tex]
~~~~~~~~~~~~~
[tex]9^{2}[/tex] × [tex]3^{6}[/tex] = (3²)² × [tex]3^{6}[/tex] = [tex]3^{2*2+6}[/tex] = [tex]3^{10}[/tex]
Solve for the value of d.
62°(6d + 4) ^ o
If n is a term of the sequence 2, 5, 8, 11, ..., which expression would give the value of n?
Answer:
3n-1
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Is(3, 2) a solution to the system on inequalities ?Explain.
Answer:
No
Step-by-step explanation:
The solution of the system of inequalities is the intersection region of all the solutions in the system. Example 1: Solve the system of inequalities by graphing: y≤x−2y>−3x+5. First, graph the inequality y≤x−2 .
Someone please help mad make sure it’s right please!!!!
Answer:
yes
Step-by-step explanation:
GIVING BRAINLIEST TO WHOEVER HELPS ME STEP BY STEP
Molly is training for a marathon. She runs almost everyday and keeps track of the number of miles she has run. This year, she has run 2,500 miles. On average, how many miles did she run each week?
Answer:
about 48 miles a week
Step-by-step explanation:
2500 divided by 52 (number of weeks in a year)=
625 divided by 13= 48.076923
about 48 miles
Answer:
The answer is is 48.1 miles Every week
Step-by-step explanation:
We know that there are 52 weeks in the year and beyond 2500 mpt now we can calculate the number of miles that are conducted every week through
[tex] \frac{2500}{52} = 48.1 \:[/tex]
What is the distance from P to Q?
Answer:
B) 5 units
Step-by-step explanation:
3-(-1)²+-1-(-4)²=c²
4²+3²=c²
16+9=c²
25=c²
√25=c
5=c
✓ 10
11
12
13
14
Last year, Justin opened an investment account with $7400. At the end of the year, the amount in the account had decreased by 7.5% How much is this
decrease in dollars? How much money was in his account at the end of last year?
Answer:
Decrease in dollars is $555.00, $6845.00 was in his account at the end of last year.
Step-by-step explanation:
7400 times 7.5/100
=74 times 7.5
=$555.00
7400-555=$6845.00
Which of the following numbers are less than -0.625
A) -8/5
B) -5/8
C)-0.5
*Choose all that apply*
Answer:
A) -8/5
Step-by-step explanation:
First, convert -8/5 and -5/8 to decimals
-8/5 = -1.6
-5/8 = -0.625
-0.5 is greater than -0.625 because it is closer to 0.
So, the only number less than -0.625 is -8/5, which is equivalent to -1.6
So, the correct answer is A) -8/5
which word describes the unit price
Answer:
$5.00 for 1 day
Step-by-step explanation:
1 day is a unit, so its $5.00 for 1 day.
Plz help me on my last question
Answer:
C
Step-by-step explanation:
x = 3
y = -4
(3, -4)
Answer:
The answer is C
Step-by-step explanation:
(3,-4)
.................dhdhdgdhdusjshshshs
PLease help I'll give brainliest if correct
Answer:
It would be a quadratic function
Step-by-step explanation:
If you plot all the points, you will see that it forms a parabola, since quadratic equations will form a parabola on a coordinate plane, that would be the correct answer.
Answer:
quadratic
Step-by-step explanation:
I had this question as well it's right for plato
Simplify the expression using the distributive property:
18x+20
————- =
2
Answer:
18x+20=2
18(-1)+20=2
Step-by-step explanation:
18(-1)=-18
-18+20=2
what is $7.20 after
tax of 4.5%?
Answer: $6.88
Step-by-step explanation:
Answer:
$7.52
Step-by-step explanation:
7.20×4.5%=32
7.20+32=$7.52
Which expression is equivalent to [(14) (-1/4.89)] [_2]
Answer: (14)(-2/4.89)
i’m currently doing a test with the same expression as yours, i tried googling the answer which was no help. i eventually decided to work it out on my own and i came up with this answer
Please help!!!! The roots of x^2-2x-2=0 are A.1+square root of 3 B.1+square root of 12 or C.No real roots
Answer:
A
Step-by-step explanation:
We have the equation:
[tex]x^2-2x-2=0[/tex]
We can use the quadratic formula. In this case, a = 1, b = -2, and c = -2. Hence:
[tex]\displaystyle x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-2)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{2\pm\sqrt{12}}{2}[/tex]
Simplify:
[tex]\sqrt{12}=\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}[/tex]
Hence:
[tex]\displaystyle x=\frac{2\pm2\sqrt{3}}{2}[/tex]
Divide:
[tex]x=1\pm\sqrt3[/tex]
The correct answer is A.
Factor by GCF
2n2-8n3
Please help me. I would really appreciate it
Solve the problem by making up an equation. A man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. How far from his house was his appointment?
And if the appointment is x miles away from man's house the equation is
Answer:
40 miles
Step-by-step explanation:
Since we are dealing in mph, change the minutes to hr
15 min: 15/60 = .25 hrs
3 min: 3/60 = .05 hrs
:
Let t = his normal drive time to work in hrs
then
40t = the distance to work
Write a distance equation; dist = speed * time
50(t-.25 + .05) = 40t
50(t - .20) = 40t
50t - 10 = 40t
50t - 40t = 10
10t = 10
t = 1 hr normal time to work
therefore
40(1) = 40 mi to work
:
:
Confirm this by finding the dist when he went 50 mph for 48 min (.8hrs)
50(1-.25+.05) = 50(.8) = 40 mi also