Answer:
x=11
x=−5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6*x+55-(x^2)=0
-x2+6x+55 =0
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = -1
B = 6
C = 55
Accordingly, B2 - 4AC =
36 - (-220) =
256
Applying the quadratic formula :
-6 ± √ 256
x = ——————
-2
Can √ 256 be simplified ?
Yes! The prime factorization of 256 is
2•2•2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 256 = √ 2•2•2•2•2•2•2•2 =2•2•2•2•√ 1 =
± 16 • √ 1 =
± 16
So now we are looking at:
x = ( -6 ± 16) / -2
Two real solutions:
x =(-6+√256)/-2=3-8= -5.000
or:
x =(-6-√256)/-2=3+8= 11.000
Answer:
(x-3)^2 =64
x=3 plus or minus 8
Step-by-step explanation:
I got it right on khan
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think it is C.2920
Answer:
I think it is E 3000
because area of a triangle is
1\2 base * height
base = BC = 120
height = AH = 100
120\2 = 60
60 * 100 = 6000
6000\2 = 3000
Please Help!! 100 POINTS, Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y= 6/5x-10
Step-by-step explanation:
store A: 12$ for 3 pies or store B: $10 for 2 pies which is a better buy
If $20,000 is invested in an account that compounds interest at 3.5% CONTINUOUSLY, how much money is in the account after 10 years?
Answer:
The final balance is $28,366.91.
So a gain of 8366.91
Step-by-step explanation:
Angle A=3x-10 Angle C=45 Angle D=2x+10
Please solve for x
Answer:
27°
Step-by-step explanation:
Step 1:
∠A + ∠C + ∠D = 180° Sum of a Δ
Step 2:
3x - 10 + 45 + 2x + 10 = 180 Input all values
Step 3:
5x + 45° = 180° Combine Like Terms
Step 4:
5x = 135° Subtract 45° on both sides
Step 5:
x = 135° ÷ 5 Divide
Answer:
x = 27°
Hope This Helps :)
What is the multiplicative rate of change of the function? One-third Two-thirds 2 9.
The multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].
What is the multiplicative rate?It is an arithmetical operation that calculates the product of two values, first described in terms of repeated addition.
When the value of x is changed from 1 to 2, the value of y is changed from 6 to 4.
The multiplicative rate of change of the function will be
[tex]\frac{4}{6} = \frac{2}{3}[/tex]
When the value of x is changed from 2 to 3, the value of y is changed from 4 to [tex]\frac{8}{3}[/tex].
The multiplicative rate of change
[tex]\frac{\frac{8}{4} }{4} = \frac{2}{3}[/tex]
When the value of x is changed from 3 to 4, the value of y is changed from [tex]\frac{8}{13}[/tex] to [tex]\frac{16}{9}[/tex].
Hence the multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].
To learn more about the multiplicative rate refer to the link;
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Answer:
2/3
Step-by-step explanation:
edge
-Which equation is shown by the information in the table?
nouncements
х
2
2
4
6
8
10
dules
labus
y
59
13
17
21
ades
A y = 2x + 1
B y = x + 2
C y = 3x - 1
Dy = 2x + 2
Your answer will be The letter (A) because 2x+1 is 4 and all you have to do is minus 2 to get your answer.
Therefore 4-2 is bascalliy is 2 so there is your answer.
What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1
A. 1
B. 2
C. N
D. 2n
We are given that the arithmetic progression is defined by :
➝ 2n + 1
Therefore,
For first term➙ n = 1
➝ 2 × 1 + 1
➝ 2 + 1
➝ 3
For second term➙ n = 2
➝ 2 × 2 + 1
➝ 4 + 1
➝ 5
Common difference➙ 2nd term - 1st term
➝ 5 - 3
➝ 2
More information:The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.HELP PLEASEEEEE ASAP!!!!!!!! PLEASE LIKE PLEASE I NEED HELP
An elephant has a mass of 4,900 kg. A dog has a mass of 35 kg. What is the difference in their mass?
If you spin the spinner 6 times, what is the best prediction possible for the number of times it will land on green or yellow?
Answer:
2:6
Step-by-step explanation:
You spin it 6 times, you have a chance of getting two options
^^ this is a guess but it seems pretty reasonable
The best prediction possible for the number of times the spinner will land on yellow if it is spun 6 times is 1.
How to solve probability?If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.
To find the best prediction for the number of times the spinner will land on yellow if it is spun 6 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.
Expected value = Probability of yellow x Number of spins
Expected value = (1/6) x 6
Expected value = 1
This means that out of 6 spins, we can expect the spinner to land on yellow approximately 1 times on average.
To know more about probability visit :-
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Which of these is a simplified form of the equation 7z 2 = 8 2z 1z? 10z = 6 10z = 10 4z = 6 4z = 10.
Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,
[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]
Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
Learn more about Like Terms:
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What effect does a deposit have on a checking account?
Charges a fee to the bank account? A.Charges a fee to the bank account
B. No effect on the bank account
C. Increase the account balance
D. Decrease the account balance
Answer:
C. Increases the account balance
Step-by-step explanation:
Deposit means put into
A rectangle has an area of 18cm
the lengths of the sides are whole numbers.
how long could the sides of the rectangle be?
give all the examples you can think of.
Answer:
1cm long, 18cm wide
2cm long, 9cm wide
3cm long, 6cm wide
6cm long, 3cm wide
9cm long, 2cm wide
18cm long, 1cm wide
Step-by-step explanation:
All examples given will equal to 18cm2
Kathleen jarred 12 liters of jam after 4 days. How much jam did Kathleen jar if she spent 6 days making jam? Assume the relationship is directly proportional.
Given parameters:
Number of liters of jam = 12 liters
Number of days = 4 days
Unknown:
Number of jams jarred in 6 days = ?
Solution:
Let us first find the rate of Kathleen in this jarring work;
Rate = [tex]\frac{Number of jams}{Number of days}[/tex]
Rate = [tex]\frac{12}{4}[/tex] = 3liters/day
Now, the number of jams in 6days;
Number of jams = Rate x number of days
Number of jams = 3 x 6 = 18jams
The number of jams jarred in 6 days is 18
What is the relationship between the value of the 4 in the square and the value of the 4 in the circle in the number above?
Answer:
Find the radius of the circle which passes through the origin, (0,4) and (4,0) . (1) 2(2) [tex]4\sqrt{2}[/tex] (3) [tex]\sqrt{8}[/tex](4) [tex]3\sqrt{2}[/tex]
State if the three numbers can be measures of the sides of a triangle.
A website is selling sets of golf clubs for $63, but mentions that they originally cost $105. What percentage is the discount?
Subtract to find the amount of discount then divide by original price
105 - 63 = 42
42/105 = 0.40 = 40%
Answer: 40%
Need help on this question ASAP PLEASE and thank you (:
Answer:
Step-by-step explanation:
Help mw with tis qustion
Answer:
Step-by-step explanation:
You already have the awnser there.
15.3+1.1+1.7 =18.1
Example:
a+b+c= a+c+b= b+c+a= b+a+c
You can Sum the numbers in which way you’d like,the awnser will be same if there is only pluses (+)
A groundhog is 4 feet below the ground. A hawk is perched on a tree 5 feet above the ground what is the distance between the groundhog and hawk?
Answer:
i think its 20 or 9. depending what is on your paper or screen.
10) Choose the graph that represents the statement.
The high temperature today will be under 85°
what is the value of x
Answer:
x is 90 degrees.
Whenever you see a straight line or a square where the missing number is, that usually indicates a right angle. Otherwise, that is a special function. That should not be the case, however.
will give brainliest
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
A(2, 2 ) → A'(2, 2 )
B(5, 7 ) → B'(7, 5 )
C(8, 5 ) → C'(5, 8 )
I need help on the question in the photo!
Answer:
i)20 ii)5 iii)55 iv)80 this is the answer
What is the value of q/ 6+(12−r), when q = 4 and r = 38?
A 7/ 12
B 14/ 19
C 19/ 24
D 21/ 25
Answer:
the answer to the value of the question is 21/25
MARK ME BRAINLIST please
I need help
Answer:
i am a holy angel here to help lol.
Step-by-step explanation:
i a m a h o l y a n g e l h e r e t o h e l p
f(x)=-2x+3 f(3)-f(4)
Answer:
wregwgrwgrwgr t etretg rgregreg 5
Step-by-step explanation:
At the baseball game last weekend, the Smith, Jones, and Garcia families each bought snacks from the concession stand. The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50. The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel. The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.
What is the cost of a drink?
Answer:
The cost of a drink is $1.5
Step-by-step explanation:
Let x be the cost of 1 hot dog , y be the cost of 1 drink and z be the cost of 1 pretzel
We are given that The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50.
So, 3x+y+4z=19.50 ---1
We are also given that The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.
So, 3x+2y+2z=15 ---2
We are also given that The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel.
2x+2y+z=10 ---3
Substitute the value of y from 1 in 2 and 3
3x+2(19.50-3x-4z)+2z=15 and 2x+2(19.50-3x-4z)+z=10
-3x-6z+24=0----4 and -4x-7z+29=0 ---- 5
Substitute the value z from 4 in 5
[tex]-4x-7(\frac{-24+3x}{-6})+29=0[/tex]
x=2
Substitute the value of x in 4
-3(2)-6z+24=0
z=3
Substitute the value of x and z in 1
3(2)+y+4(3)=19.50
y=1.5
Hence the cost of a drink is $1.5
HOW DO I DO THIS HELP ME PLEASE.
Answer:
100
Step-by-step explanation
so 57 and x and 23 are single numbers, so add 57+23=80
180-80=100
meaning x = 100