Answer:
x = x = 9 ±[tex]\sqrt{13}[/tex] or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex] Solve
x - 9 = ±[tex]\sqrt{13}[/tex] Solve for x
x = 9 ±[tex]\sqrt{13}[/tex]
x = 9 + [tex]\sqrt{13}[/tex] or x = 9 - [tex]\sqrt{13}[/tex]
x ≈ 12.61 or x ≈ x 5.39
Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2
Find the iterative rule for
a1=4; an=1/3·an−1
A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1
Answer:
D.) a(n) = 4 * (1/3)^(n-1)
Step-by-step explanation:
a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that
1/3 * a(0) = 4
a(0) = 12.
Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.
Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
Answer:
7.5m
Step-by-step explanation:
Set up a proportion and cross multiply to find the unknown
Hope this helps
The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given question,
Elongation of spring in 180 newtons = 5 cm
The ratio of elongation to force applied = 5/180
The force the second time is 270 newtons.
Let's say the elongation at this time is x cm.
The ratio of elongation to force applied = x/270
Both ratios must be the same.
Therefore, x/270 = 5/180
x = 270/36 = 7.5 cm
Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %
Answer:
20% decrease
Step-by-step explanation:
2516/3270 = 0.8 or 80%
This means 80% percent of people showed up again from last year
100-80 = 20
So 20% decrease
-9 + ( -16) =
( -4) – (-6) + (-5) – (8) =
( 3) – (-9) + (-3) – (-2) =
- ( 5) – (-7) + (-8) =
- ( -8) – (-9) + (-4) – (-1) =
( -5) – (-11) + (10) – (8) =
( -1) – (-2) + (-3) – (-6) =
( -4) – ( 4) – (6) + (-5) – (-8) =
(-6) + (-5) – (-8) =
Answer:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) =-11
( 3) – (-9) + (-3) – (-2) =11
- ( 5) – (-7) + (-8) =-6
- ( -8) – (-9) + (-4) – (-1) =14
( -5) – (-11) + (10) – (8) =8
( -1) – (-2) + (-3) – (-6) =4
( -4) – ( 4) – (6) + (-5) – (-8) =-11
(-6) + (-5) – (-8) =-3
Step-by-step explanation:
Hope it helps
Answers:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) = -11
( 3) – (-9) + (-3) – (-2) = 11
- ( 5) – (-7) + (-8) = -6
- ( -8) – (-9) + (-4) – (-1) = 14
( -5) – (-11) + (10) – (8) = 8
( -1) – (-2) + (-3) – (-6) = 4
( -4) – ( 4) – (6) + (-5) – (-8) = -11
(-6) + (-5) – (-8) = -3
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
Simplify.
15 20 24+20
Answer:
-5 divide by 28
Step-by-step explanation:
so the question supposed be " 15-20 divided by 2(4) + 20
15-20 which is also 15 + (-20)= -5
2(4)=8, 8+20=28
so it can simplify into -5 / 28
(hope it helps :)
3х – 8y = — 16
=
M
So yeah I kinda need help
Answer:
3x-8y-16 = 0
Step-by-step explanation:
need help pleaseㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
the domain is all the real numbers, or (-infinite <x<infinite)
the range is y>=-4
axis of symetry is x= -1
vertex is (-1,-4)
the parabola opens upwards
x intercepts (-3,0) and (1,0)
y intercepts (0,-3)
3x(6x + 5)
4x(2x-3y)
Step-by-step explanation:
1) 3x(6x+5)
= 18x+15x
= 33x Answer
2) 4x(2x-3y)
= 8x-12xy Answer
Cannot be solved because it has unlike terms
Hi plz answer this I'll give u more points if u do
Answer:
6 feet in the distance
Step-by-step explanation:
Find the domain and range of the function
Step-by-step explanation:
using set notation
domain [-3,3]
range[-1,3]
Which is the correct label of the parallel lines?
the answer is a || b, or the first option
HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2
1. Determine the lowest common multiple of 4, 9 and 12
A. 30
B. 36
C. 48
D. 54
2. Simplify 80g : 16kg
A. 4 : 5
B. 3 : 4
C. 2 : 7
D. 1 : 20
3. How many square-shaped tiles with sides of y cm that are required to cover 15y × 4y floor?
A. 60
B. 64
C. 72
D. 86
4. Puan Anis bought 8kg of beef which cost RMx per kilogram. She paid with 2 pieces of RM50 note and received a balance of RM4. Find the value of x
A. 12
B. 14
C. 16
D. 18
5. Find the circumference of a circle with radius of 21 cm
A. 66
B. 44
C. 63
D. 132
6. Anita has RMb. She spent RM(2a + 1) per day for a week. Given the balance of her money is RM45, find a formula for b
A. 2a + 46
B. 14a - 38
C. 14a + 45
D. 14a + 52
7. Given 9x²/y² - 3x = 5w, express y in terms of w and x
A. y = x/5w+x
B. y = 3x/5w+3x
C. y = 3x²/5w+3x
D. y = 3x/5w+x
I NEED ANSWERS FOR THESE QUESTIONS TQ :)
Answer:
a,b,d,d,c,a,a
Step-by-step explanation:
Please help me if can, tysm
Answer:
70.4
Step-by-step explanation:
the aquare root of 40.96 is 6.4
so,64+6.4=70.4
When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.
Answer: its c In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the 50th term of the linear sequence below? 27 , 25 , 23 , 21 , 19
Answer:
-73 sorry if im wrong
Step-by-step explanation:
find nth term but replace n with 50 equation is -2n+27
The product of four and a number C is decreased by five?
i need the answer!!! help
Answer:
30517578125
Step-by-step explanation:
5-7/8 reduced to its lowest from
Answer:
4 1/8
Step-by-step explanation:
subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.
meaning I should change the whole number 5 to a fraction.
I will use the bottom number to figure out what the fraction in the whole number should look like.
5 = 5/1
I want the bottom number to be 8 like the other fraction 7/8
I multiply the top and bottom number of 5/1 by 8, giving me
40/8
now I subtract 40/8-7/8 = 33/8 or 4 and 1/8
5%x52?524526235+36285
Answer:
The answer is 7,878,684,378
LOL
Step-by-step explanation:
Help I will mark brainliest
Answer:
350
Step-by-step explanation:
Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:
A = 7 * 10 * 10
A= 7 * 5 * 10.
(You divide the ten on the bottom)
7*5 = 35
35*10 = 350
Answer:
240
Step-by-step explanation:
The surface is the sum of the sides (all 4 equal) plus the base.
A = 4(1/2B * H) + B**2
A = 4((1/2 * 10) * 7) + 10 * 10
A = 4(5 * 7) + 100
A = 4 * 35 + 100
A = 140 + 100
A = 240
The price of a technology stock has dropped to $9.63 today. Yesterday's price was $9.74. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
I belive the answer is 10
Step-by-step explanation:
$9.74
$9.63
_____
$0.11 rounded to the nearest thenth of a percent is 10
Answer:= ( -$0.09 / $9.63 )*100%
≅ -0.9 % (note: -0.9% means 0.9% decrease)
Step-by-step explanation:
Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.
Answer:
9x
Step-by-step explanation:
You start at (9, 5). You move left 3 units and up 1 unit. Where do you end?
Hello!
(9,5)
3 units left: (6, 5) (we subtract 3 from the x-coordinate)
1 unit up: (6, 6) (we add 1 to the y-coordinate)
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
hey uhm can someone answer this for 12 points
[tex] \frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}[/tex]
please help me i dont know what i am doing
Answer:
answer is 1.2590Step-by-step explanation:i hope its help you
If f(x)= 3x-2 find x if f(x)= 19
Answer:
19= 3x-2
3x= 21
X= 7
Step-by-step explanation:
Hope it helps!!
Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake Jenna decides to buy a birthday cake and an ice cream cone for each of her friends. Jenna needs to determine the total cost for her birthday party.
Answer:
multiply the cost of the ice cream cones by the amount of friends then add the cost of the birthday cake.
example: (2.49 × n) + 24.99 = a
I would give you an answer but I dont have enough information, I'm sorry for the inconvenience.