Answer:
Part A
The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)
Part B
The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3
Step-by-step explanation:
Part A
The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;
6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6
The 13·x is split at - 4·x - 9·x
6·x² - 4·x - 9·x + 6
2·x·(3·x -2) - 3·(3·x - 2)
Bringing out the common factor (3·x - 2) gives;
(2·x - 3) × (3·x - 2)
Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)
Part B
Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;
6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0
Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3
From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.
What property should you use first to solve 14+c=39
Answer:
Subtraction
Step-by-step explanation:
what is the HL postulate
Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
complete the table for each equation.
Help plz
Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)
Step-by-step explanation:
You solve all of them by inputting the x value's into the x in the equation
Here:
y= -2(1) x=1 y= -2
y= -2(4) x=4 y= -8
y= -2( -5) x= -5 y= 10
y= -2(3) x= 3 y= -6
11 is what percent of 300?
Answer: 11 is 3.667% of 300.
Step-by-step explanation: The 3.667% of 300 is 11.001, this is the closest possible to 11.
P.D. Hope this helps!
Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77, and 0.81. To the nearest cent, what is the price of salmon steak per pound?
Answer:
$7.65
Step-by-step explanation:
Given that:
Money used for buying the four salmon steaks = $22.95
Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81
To find:
Price of salmon steak per pound, to the nearest cent = ?
Solution:
Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3
Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.
Price of salmon steak per pound = [tex]\frac{22.95}{3} = \$7.65[/tex]
Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
I give brainlist and 5 stars :))
Answer:
A, she read 3 book in the first 2 months
Step-by-step explanation:
I hope this helps :)
13) How do you know when to use the mean or median as the best measure of center?
Answer:
The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.
Step-by-step explanation:
hope this helps
7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions
Final Answer: [tex]b = -1[/tex]
Steps/Reasons/Explanation:
Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.
Step 1: Subtract [tex]6b[/tex] from both sides.
[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]
Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].
[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]
Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.
[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]
Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].
[tex]b = -1[/tex]
~I hope I helped you :)~
simplify the expression -3/8(-4y+z)
Answer:
3/2y-3/8z
Step-by-step explanation:
-3/8(-4y)-3/8z
quick!! using y= 5x + 12 find the slope of a parallel line
Answer:
y=5x-10
Step-by-step explanation:
What is the solution to the inequality
-−
5
(
2
x
−
4
)
+
8
>
4
+
4
(
x
+
6
)
Answer:
x>20/3
Step-by-step explanation:
THIS ONE TOOOO AND MORE COMING
Answer:
uh
Step-by-step explanation:
Answer:
[tex] \widehat {DC} [/tex]
Step-by-step explanation:
Since, DC is the diameter of the circle.
Therefore,
[tex]m\widehat{DC} = 180\degree [/tex]
(A) I (B) II (C) III (D) IV (E) V (F) VI (G) VII
Answer:
a and c
Step-by-step explanation:
What is the opposite of
V3?
HURRY!!!!!
Answer: V^3
V times V times V
Step-by-step explanation:
I think?
Congruent Triangles and Proofs
Given: JK bisects
Answer:
Step-by-step explanation:
1S. JM bisects ∠ KJL and ∠JMK ≅ ∠JML
1R. Given
2S. ∠KJM ≅ ∠LJM
2R. Angle bisectors form ≅ ∠s
3S. JM≅JM
3R. Reflexive Propriety ( segment is ≅ with itself)
4S. ΔJMK ≅ΔJML
4R. ASA theorem of congruency
5S. JK≅JL
5R. Coresponding parts of congruent Δs are congruent (CPCTC)
Rachael is a nurse she earns 12 vacation days after working 768 hours how many hours does rachael need to work to earn 1 vacation day
Answer:
the answer would be 64 hours
Step-by-step explanation:
You just had to divide 768 by 12
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
You work for 4 hours on Saturday and 8 hours on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per hour?
Answer:
Step-by-step explanation:
To find the hourly rate, we would first need to take the total earnings and subtract the bonus.
$164 - $50 = 114
This gives us the total money earned for hourly work.
Then we need to add the total hours worked: 4 + 8 = 12.
Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour.
The equation could look like:
4h + 8h + $50 = $165
there are 6 people at a party
Answer:
wait wut!!!?????????
PLEASEE HELP I WILL GIVE BRAINLIEST!
Answer:
It would be C, Y=x-7
Step-by-step explanation:
Each X in the left column is 7 more than Y in the right column.
Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
The cost of 5 scarves is $31.25. What is the unit price?
Answer:
Step-by-step explanation:
Unit price = 31.25 ÷ 5 = 6.25
So each scarf costs 6.25
Answer:
$8.75 per scarf
Step-by-step explanation:
5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.
43.75 / 5 = 8.75
One scarf costs $8.75
Step-by-step explanation:
$8.75 per scarf
Step-by-step explanation:
5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.
43.75 / 5 = 8.75
One scarf costs $8.75
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)? x2 + (y + 4)² = StartRoot 5 EndRoot (x – 1)² + (y + 2)² = 5 (x + 4)² + y² = 5 (x + 2)² + (y – 1)² = StartRoot 5 EndRoot
Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
Answer:
its C. (x + 4)² + y² = 5
Step-by-step explanation:
edge
Solve for x
9(x-1)=81
x=
Answer:
10
Step-by-step explanation:
9(10-1)=81
Match each expression to its simplified answer
9x-3y + 5y
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
9x - 3y + 5y
Step 2: Simplify
Combine like terms (y): 9x + 2yA 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.
In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced
Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed
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! ;)