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.
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:
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
I guess these are easy ish... i need a bit of help
1.On Halloween 3 friends each received 0.7 of a pound of candy. How much candy did they receive total?
2. An old road was 3.9 miles long. After a renovation it was 3.7 times as long. How long was the road after the renovation?
3. Jonathan and Anna must share $20.64 evenly for Fall Festival. How much money will each child receive?
4.The five fifth grade teachers and six fourth grade teachers ordered 2 large pizzas all together for lunch. Each pizza costs $13.75. If we are going to split the cost evenly, how much will each person need to pay?
Answer:
1) 3*0.7 = 2.1 pounds
2) 3.7*3.9 = 14.43 miles long
3) 20.64/2 = $10.32 each
4) (2*13.75)/(5+6) = $2.50 each
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! 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
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
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:
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
-5 times what = 25....
pleeeaaaaasssseeee help me
Answer:
3- 2 4/7
4- 10/21
5- 4
6- 40
Step-by-step explanation:
hope this helps!!! :D
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?
Picture is attached, plz help
put 3.07 lbs., 3.1 lbs., 3 1/8 lbs., 3 3/10 lbs. in order from least to greatest.
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.
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.
need help ASAP PLEASEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!
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:
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
#SPJ2
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.
There are 15 girls in the class and 8 boys. Lauren says that the ratio of girls to boys is equivalent to 30 : 18. Is Lauren correct?
Answer:
No
Step-by-step explanation:
If 15 x 2=30 and 8x2=16 not 18 it’s incorrect
Answer:
No, Lauren is not correct because the ratio is actually 15:8 this is because the ratio represents the number of boys to girls. The only way to show this equation in ratio notation would to say 15:8. Therefore Lauren is incorrect.
Step-by-step explanation:
Hope this helps.
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
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 ()?
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
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!
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
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:
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.
Please help me with this
Answer for1 is y=2/3x-2