Solve the Quadratic Equation: 2(x - 5)^2 = 18
Answer:
x=2 or x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x2−20x+50=18
Step 2: Subtract 18 from both sides.
2x2−20x+50−18=18−18
2x2−20x+32=0
Step 3: Factor left side of equation.
2(x−2)(x−8)=0
Step 4: Set factors equal to 0.
x−2=0 or x−8=0
x=2 or x=8
Answer:
1. x = 8
2. x = 2
Step-by-step explanation:
2 • (x - 5)2 - 18 = 0
2.1 Evaluate : (x-5)2 = x2-10x+25
3.1 Pull out like factors :
2x2 - 20x + 32 = 2 • (x2 - 10x + 16)
3.2 Factoring x2 - 10x + 16
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -10 .
-16 + -1 = -17
-8 + -2 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -2
x2 - 8x - 2x - 16
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-8)
Add up the last 2 terms, pulling out common factors :
2 • (x-8)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-8)
Which is the desired factorization
2 • (x - 2) • (x - 8) = 0
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Picture is attached, plz help
What does it mean if two things are negatively correlated?
If one thing increases by x, the other increases by x – 1.
The dependent variable is always moving in the negative direction.
As one thing decreases, the other increases.
As one thing decreases, the other also decreases.
Step-by-step explanation:
As one thing decreases, the other increases
Have a good day
Alani receives a collection of coins from her mother as a gift. She wants to start collecting coins. She
projects the total number of coins she believes she will own over the next 5 years and graphs the
results.
The graph shows the relationship between the number of
coins Alani believes she will own and the amount of time
she thinks it will take to acquire them.
Complete the table using the data from the graph.
Year
Number
of Coins
()
()
()
3 6
()
()
0 0
1 2
2 4
What is the recursive formula that represents the total number of coins for the nth year if Alani keeps
collecting coins at the same rate?
What is an explicit formula that represents the situation?
What is the domain of ()?
HELP ASAP IM SO CONFUSEDDD :((((
Sally has 5 cards. Max has 5 cards. The teacher, Mr. Mark, does not allow cards in his class. Mr. Mark took the cards and put them in his office. Now how many cards do Sally and Max have all together?
What is the answer to 4-4+4-5+5/1
Answer:
4
Step-by-step explanation:
5/1=5
4-4+4-5+5=4
4 - 4 + 4 - 5 + 5/1 = 4
4(3n+2)-2(9n-7)
can yall help me?
it is 14 points
Answer:
4(3n+2)-2(9n-7)
12n+8 -18n+14
-6n+22
Step-by-step explanation:
Find the area.
A. 48in^2
B. 84in^2
C. 90 in^2
D. 157,500in^2
Answer:
C) 90 in^2
Step-by-step explanation:
the other person above said exactly what i did too to get the answer above... and im doing the quiz too =w=
also if you need to know one answer that is obviously not the answer... the obvious wrong answer is D) 157,500 in^2... its way, WAY too big for it to be the answer
Hope this helps
∞ΩCreator WΩ∞
im very unsmart so i beg
Answer:
9x + 27 is = 9(x+3)9+9x is = 9(1 + x) 9(x-1) is = 9x - 9Step-by-step explanation:
I’m reposting this because people didn’t answer and wasted my points. If anyone answers something that is not an answer to the math problem, I will report you, and your answer will be deleted along with the points you stole.
PLEASE HELP! I ONLY NEED TO DO 3 MORE ASSIGMENTS AND I'M STUCKKK!
Answer:
40
Step-by-step explanation:
(11 + 4) / 3 * sqrt(64) =
= 15/3 * 8
= 5 * 8
= 40
Answer:
40 i think ?
Step-by-step explanation:
im not 100 percent sure this is correct but i just followed pemdas. i added 11 and 4 then divided that by 3, which was 5, then i figured out the square root of 64 which is 8 then multiplied 5 by 8 which is 40
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 24 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer: Emily will spend, 11.52 unit on wire
Andy will spend 18.72 unit on wire.
put 3.07 lbs., 3.1 lbs., 3 1/8 lbs., 3 3/10 lbs. in order from least to greatest.
Will give whoever answers correctly Brainliest
At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out of your account and pay the $3 convenience fee. What is the rate at which your balance is changing each time you visit the ATM?
Group of answer choices
-$1500
$3
-$63
-$60
$60
-$3
Answer:
-63
Step-by-step explanation:
Answer:
-63
Step-by-step explanation:
because you are taking out 60 dollars and have to pay 3
he art teacher has 1 gallon of paint, which is enough for \frac{2}{3} of the class to complete a project.
How many gallons does she need for the whole class?
Answer:
1 and 1/2
Step-by-step explanation:
type of brownie
eggs
water
oil
fudge-like
2 eggs
14cup
12cup
cake-like
3 eggs
14cup
12cup
What amounts of eggs, water, and oil would you need for 2 batches of fudge-like brownies?
What amounts of eggs, water, and oil would you need for 3 batches of cake-like brownies?
Which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how you know.
Answer:
for the fudge like you would need for 2 batches 2 eggs 28 cups of water and 24 cups of oil
for the cake like brownies you would need 9 eggs 42 cups of water and 36 cups of oil
hope this helps please give me brainliest:))
Step-by-step explanation:
pleeeaaaaasssseeee help me
Answer:
3- 2 4/7
4- 10/21
5- 4
6- 40
Step-by-step explanation:
hope this helps!!! :D
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5)
Answer:
(7,-5)
Step-by-step explanation:
you run 7 and go down 5
a4+b4+c4+d4+=
it might not be dat hard well its not hard at all
Answer: (a+b+c+d)4
Step-by-step explanation:
The four has to be an exponent to me multiplied to every letter.
A 6-pack of Sprite costs $7.70. How much would an 18-pack of Sprite cost if the costs are proportional?
A. 13.86
B. 14. 40
C. 11.55
D. 23.10
Answer:
6 pack = $7.70
18 pack=$23.10
Answer:
Step-by-step explanation:
d,
7.70 * 3 = 23.10
because 6 goes into 18 ,times.
or 7.70+7.70+7.70 = 23.10 so D
-5 times what = 25....
Shawntell is training for a relay race. She ran 2000 feet every day for 6 days.
How many yards did Shawntell run?
Answer:
12,000
Step-by-step explanation:
2000*6 is 12000
Hope this helps plz hit the crown :D
The table shows the total amount spent on each item in a dance team's order, There are 15 girts on the team. Complete the table to determine the individual cost Of each item.
Scenario:
A stack of n small cups has a height, h, in centimeters of h=1.5n+6.
A stack of n large cups has a height, h, in centimeters of h=1.5n+9.
Using G00gle Draw, or by hand, graph the equations for each cup on the same set of axes. Make sure to label the axes and decide on an appropriate scale.
For what number of cups will the two stacks have the same height?
Answer:
The lines will never intersect.
Step-by-step explanation:
The slope of the cups is the same, 1.5. The y-intercept of the small cups is 6
The y-intercept of the big cups is 9.
This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.
I hope this helps :) Please give brainliest! :)
This table of values represents a linear function.
Write the equation for the function.
Answer:
y = -2x + 2
Step-by-step explanation:
Slope = [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} } =\frac{-4-2}{3-0}=\frac{-6}{3}=-2 \\[/tex]
y-intercept = (0, 2)
Answer:
y = -2x + 2
Step-by-step explanation:
Hope this helps!
Please answer BOTH questions, they are both different. P.S please click the picture for it to zoom is people tend to take the points and say they can't see it and don't answer.
Answer:
Step-by-step explanation:
1) true
2) true
Answer:
1. True
2. True
Step-by-step explanation:
ratio is 1cm : 6g
need help and need a someone the answer how
Answer to #1 : C) 3x + 1
Answer to #2 :
I don't know the answer to #2
The difference of the equation is always 1 for me.
Please help me with this
Answer for1 is y=2/3x-2
PLEASE HELP!!!!
Translate this sentence into an equation:
The sum of 2 times a number and 7 equals 5
- Use the variable c for the unknown number.
Answer:
2 x c7 = 5
Step-by-step explanation:
Which of the following is equivalent to equivalent to –2(15 – 20d + 5c)?
A. –30 + 40d – 10c
B. –6 + 8d – 2c
C. –2c + 8d – 6
D. –2(3 – 4d + c)
After solving the given expression, the equivalent expression will be -30 +40c - 10c.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given information in the question,
-2(15 - 20d + 5c)
Now, multiply -2 by the values in the bracket,
Then, the equivalent expression will be,
-30 +40c - 10c
To know more about Expression:
https://brainly.com/question/14083225
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