Answer:
x² - 6x + 9
General Formulas and Concepts:
Algebra I
FactoringExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
x² + 6x + 9
Step 2: Find Roots α and β
Factor quadratic: (x + 3)²Find roots: α = -3, β = -3Step 3: Solve
Apply negatives: -α = -(-3), -β = -(-3)Multiply: -α = 3, -β = 3Write binomial factor: (x - 3)²Expand [FOIL]: x² - 6x + 9Which is an equation of the line that passes through (0, -3) and is perpendicular to the graph of the line y=2x-3?
Answer:
D
Step-by-step explanation:
perpendicular to 2 =x is -1/2x, and (0,-3) just happens to be on the y intercept so its -1/2x - 3
Help me solve this equation and show work
11d + 17b = 95
d + b = 7
Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
B = 3
d = 4
Step-by-step explanation:
You can use elimination method. Multiply (d + b = 7) by -11.
11d + 17b = 95
-11d - 11b = -77
add together. D’s will cancel
6b = 18
divide by 6
b = 3
plug in 3 for b in the equation of your choice
d + (3) = 7
subtract 3
d = 4
Rachel is buying school supplies. She needs to buy a binder for $4.50, whiteboard markers for $7.00 and some mechanical pencils for $0.29 each. She can spend up to $13.00. Which inequality can be used to find m, the number of mechanical pencils she can buy?
Will give crown! Help
Answer: The slope is -5/7
Step-by-step explanation:
Slope is rise/run
The rise is -5, and the run is 7
This is why the slope is -5/7
Answer:
The rise is 6 and the run is 7 6/7
Bella makes bracelets. She uses 20 beads for each bracelet. How
many beads will she use to make 7 bracelets?
Answer:
140 beads.
Step-by-step explanation:
Hope this helps. :)
A bakery sells doughnuts in boxes. Each box has 9 doughnuts in it. If the bakery sold 54 doughnuts, how many boxes did it sell?
The answer is 6.
9 times 6 = 54.
An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer
Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest
SOMEONE PLEASE HELP ME CLICK ON THE PDF AND SCROLL DOWN AND ANSWER 7-12
Answer:
Is there a way u can show a picture instead of us having to download it?
A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
The y-intercept of the line is 1
Using the slope - intercept relation :
y = bx + cc = Intercept; b = slope point (2,7)Substituting the values into the relation :
7 = 3(2) + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the y-intercept of the line is 1.
Learn more on Intercept:https://brainly.com/question/25987747
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The cost of a car rental is $30 per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
2. 5 miles
Step-by-step explanation:
Given that:
Rental cost = $30
Cost per mile driven = 18 cent
Daily budget = $75
Greatest distance you can drive each day while staying within budget :
Rental cost + (cost per mile driven * distance) ≤ daily budget
$30 + 18d ≤ $75
18d ≤ 75 - 30
18d ≤ 45
d ≤ 45 / 18
d ≤ 2.5
Greatest distance you can drive each day while staying within budget is 2.5 miles.
Step-by-step explanation:
of her book on Tuesday, and of her book on Wednesday,
3
if Joyce reads - of her book on Monday,
6
what part of her book does she read?
point)
9
10
о
VINIATE
10
4
Answer: 9/10 of the book.
Step-by-step explanation:
1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.
1/6 = 5/30
2/5 = 12/30
1/3 = 10/30
2. Add the fractions together to find the whole amount of the book Joyce has read.
5/30 + 12/30 + 10/30 = 27/30
3. Simplify
27/30 -> 9/10
Step-by-step explanation:
1/6 + 2/5 +1/3=
nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =
1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30
17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90
now let's try to simplify it.
81/90 by 9=9/10
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
Gary drank
4
5
liter of water Monday before going jogging. He drank
2
3
liter of water after his jog. How much water did Gary drink altogether? Write your answer as a mixed number.
Answer:
1 7/15
Step-by-step explanation:
4/5 = 12/15
2/3 = 10/15
12/15 + 10/15 = 22/15 or 1 7/15
Ashley has $200 in a savings account that earns 4% interest per year. Which is closest to the amount that will be in her account after 5 years if no withdrawals or deposits
Answer:
Ashley will save $240.
Step-by-step explanation:
First we convert 4% into a decimal, 0.04.
The formula for solving for interest is A = P(1 + rt).
$200(1 + 0.04 × 5) = $240
This interest is $40, and our full amount is $240.
Answer:
Ashley will save $240.
Step-by-step explanation:
First we convert 4% into a decimal, 0.04.
The formula for solving for interest is A = P(1 + rt).
$200(1 + 0.04 × 5) = $240
This interest is $40, and our full amount is $240.
(19) Calculate $ 328.67 as a percentage of $ 150
O
219%
O
209%
199%
189%
Answer:
219%
Step-by-step explanation:
Answer:
219%
Step-by-step explanation:
Since $300 is double the price of $150, it is safe to say that it is over 200% which comes down to the first two answers 209% and 219%. Divide $328.67 by $150 to get to the number which is around 2.19113333, multiply by 100 to get the answer.
4x - 3y + 9x + (-2) - 10y + 12
what is it simplified or it says simplify *all* expressions
After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 new students joined? n A 32 Bn -4 = 32 C 4n = 32 Dn+ 4 = 32
Answer: D
Step-by-step explanation: if 4 students joined ur adding to the class hope this helps :)
Answer:
The answer is D.
What is the absolute value for 3.45?
Answer:
∣∣3.45∣∣=3.45
Step-by-step explanation:
Answer:
3.45 and -3.45
Step-by-step explanation:
Which graph represents the function below?
Answer:
It is A.
Step-by-step explanation:
Hope this helped have an amazing day!
Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?
if there are 250 fish in the lake and 50 more are added each year, write a linear equation
Help will give crown
Answer:
x = -4 y = -2(-4) - 4 = -12
x = -2 y = -2(-2) - 4 = 0
x = 0 y = -2(0) - 4 = -4
x = 2 y = -2(2) - 4 = -8
Hope this helps! ;)
Helppppppp pleaseeee
Answer:
-5
Step-by-step explanation:
a= -4 than 2 times-4. than be 8.and 4 square is -16. So it be 3+8-16 = -5
Answer:
27
Step-by-step explanation:
[tex]3-2a+a^2\\[/tex]
If a = -4 then just replace a with -4
[tex]3-2(-4)+(-4)^2\\3+8+16\\27[/tex]
Three vertices of parallelogram DEFG are
D(0, 2), E(-1, 5), and G (4, 0). Find
the coordinates of F.
Answer:
F(3,3)
Step-by-step explanation:
The coordinate of F is (3, 3).
GivenThree vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).
What is the formula to find the midpoints?Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}[/tex]
Let (x, y) = coordinates of vertex F.
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of EG
Then,
The midpoint of D(0, 2) and F(x, y) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}[/tex]
The midpoint of E(-1, 5) and G(4, 0) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}[/tex]
Comparing the equation;
[tex]\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3[/tex]
[tex]\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3[/tex]
Hence, the coordinate of F is (3, 3).
To know more about Midpoints click the link given below.
https://brainly.com/question/2994861
PLEASE HELP MEEEEE IM DESPRATE T^T
Answer:
Step-by-step explanation:
we need to know how much 1 sock costs so lets do it: 5.79 divided by 12 is 0.4575
One sock costs 0.479.
Hope this helps <3
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
JRJSOWNDNFNEOSLDNFBWKWLND
Answer:
Step-by-step explanation:
the 1 one is the right one
Answer:
A. The afternoon temperature was 5 degrees above the night temperature
Step-by-step explanation:
have a nice day
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
Answer:
It would be 16 men.
Step-by-step explanation:
Let the number of men dig a pond in 6 day be x. Then,
It is a case of inverse variation.
12 × 8 = 6x
=> 96 = 6x
=> x = 96/6
=> x = 16
Hence, 16 men can dig a pond in 6 days.
Answer:
Answer is 16…..
12 men take 8 days for digging a pond, so we use simple method to solve this problem.
We multiple the both things that is 12 and 8 then get 96 is the result which is equal to multiple of 6 days and ?Men then get 16 men
Step-by-step explanation:
I literally put it on the comments lol
write the factored form of the polynomial.
P(x) = x4 – 7x3 + 13x2 + 3x – 18
Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
I need this ASAP!!! Please