Step-by-step explanation:
Here are the steps required for Solving Quadratics by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: x2 + 16 = 10x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the
Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?
Answer:
8.4
Step-by-step explanation:
+82
-5x+2>44
-2
-5x>42
divde by +5
x=8.4
If marked price = $1700, selling price = $1540 Then find the discount?
Answer:
1700-1540=160
Answer:
1700-1540=160
mp=160/1540*1700
17'1630
subtract the value of 3 from the value of the 1 in the number 2103
Answer:
97
Step-by-step explanation:
100 - 3 = 97
PLEASE, MARK ME BRAINLIESTWrite an algebraic expression into words 9m-3
Answer:
subtract 3 from the product of 9 and m
What is the result when (-12) is subtracted from (- 8) ? *
Answer:
-20
Step-by-step explanation:
All that you have to do for this question is just form the equation:
-12-8=x
And solve, which is:
-20
I WILL MARK BRAINLIEST! NO FAKE ANSWERS
A jug contains 3.2 L of water. If a glass has a capacity of 220 ml, how many such glasses can the jug fill?
Answer:
68.75
Step-by-step explanation:
220 / 3.2 = 68.75
(Not sure if this helps, but I hope it does!)
which table represents a function
Answer:
The first one.
Step-by-step explanation:
Functions do not have repeating x values.
Please help me solve this ASAP
Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The values of :
[tex]x = 2[/tex][tex]y = 3[/tex]The given equations are :
[tex]0.4x + 0.3y = 1.7[/tex][tex]0.7x - 0.2y = 0.8[/tex]now, let's multiply both the equations with 10 on both sides.
so, now our equations will be :
[tex]4x + 3y = 17[/tex][tex]7x - 2y = 8[/tex]from Equation second :
[tex]7x - 2y = 8[/tex][tex]2y = 7x - 8[/tex][tex]y = \dfrac{7x - 8}{2} [/tex]now, let's substitute the value of y from here into Equation first.
[tex]4x + 3y = 17[/tex][tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex][tex]4x + \dfrac{21x - 24}{2} = 17[/tex][tex] \dfrac{8x + 21x - 24}{2} = 17[/tex][tex] \dfrac{ 29x - 24 }{2} = 17[/tex][tex]29x - 24 = 34[/tex][tex]29x = 34 + 24[/tex][tex]29x = 58[/tex][tex]x = \dfrac{58}{29} [/tex][tex]x = 2[/tex]here, we got the value of x = 2, let's plug it in equation second to find value of y :
[tex]7x - 2y = 8[/tex][tex]7(2) - 2y = 8[/tex][tex]14 - 2y = 8[/tex][tex]2y = 14 - 8[/tex][tex]2y = 6[/tex][tex]y = \dfrac{6}{2} [/tex][tex]y = 3[/tex]And value of y = 3
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
2x+65=4x−3
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.
what is the answer for this 30≤x≤60.
Step-by-step explanation:
if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.
denzel has $13.50 and saves an additional $7.50 each week
Answer:
y = $7.50x + $13.50
Step-by-step explanation:
I need the whole question, but I am guessing you need the equation above
Have a nice day! :-)
Answer:
$21.00
Step-by-step explanation:
$13.50+$7.50=$21.00
what is the remainder of this polynomial function?
Answer: C
Step-by-step explanation:
please screenshot and graph for me this makes no sense
Answer:
The x-axis
Step-by-step explanation:
This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.
So, the line is [tex]y=0[/tex], i.e. the x-axis.
So, graph the x-axis and we're done!
Which graph represents the solution to the inequality? 4v - 2 < 10
Answer:
Option C.
Step-by-step explanation:
First, simplify the inequality. Add 2 to both sides:
4v - 2 < 10
4v - 2 + 2 < 10 + 2
4x < 12
Divide both sides by 4:
4x ÷ 4 < 12 ÷ 4
x < 3
As 3 will not satisfy the inequality, it is not a solution. The option that shows x being less than 3 but not including is option C.
Hope this helps!
PLEASE HELP NOW! NO FAKE ANSWERS!!!!!!!!!!!!!!
Answer:
D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound
Step-by-step explanation:
Have a good day, keep learning
Answer:
[tex]4x + $2.00[/tex]
Step-by-step explanation:
This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00
addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum distance between the runners at any given time
The maximum distance between them is the diameter of the circle, which is of 44 units.
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The diameter is twice the radius, and is the maximum distance between two points on the same circle.
They are running on a circular path, modeled by:
[tex]x^2 + y^2 - 10x - 18y = 378[/tex]
Completing the squares, the equation is:
[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]
Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.
A similar problem is given at https://brainly.com/question/25008198
Trey rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 96 cents for each mile driven. Trey had to pay $246.43
when he returned the truck. For how many miles did he drive the truck?
miles
Answer:
238 miles
Step-by-step explanation:
Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles
Hope this helps :)
(2a-1)(2a-1)-(2a+3)(2a+3)
Answer:
-16a-8
Step-by-step explanation:
(
2
−
1
)
(
2
−
1
)
−
(
2
+
3
)
(
2
+
3
)
{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)
(2a−1)(2a−1)−(2a+3)(2a+3)
2
(
2
−
1
)
−
1
(
2
−
1
)
−
(
2
+
3
)
(
2
+
3
)
Answer:
− 1 6 − 8
Step-by-step explanation:
Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?
8x2 – 24 = ?
Choose 1 answer:
A 8(22 – 3)
B.
8x (x2 – 3)
8(x – 3)
8x(x – 3)
8x² - 24 = 8 (x² - 3)
Given m||n, find the value of x.
(7x+6)° (9x-24)°
Answer:
X=15
I hope this helps also I would appricate brainliest if possible :)
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
I need help please help
Answer:
Im not sure
Step-by-step explanation:
2/3÷(-14) show your work.
what is (-1/8c+16)-(3/8+3c) simplified
Answer:
Step-by-step explanation:
you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).
check the things in brackets that how the site its called.
Your friend incorrectly factors the expression
15x - 20xy as 5x(3 – 4xy).
-
Factor the expression correctly.
Answer:
5x(3 - 4y)
Step-by-step explanation:
Answer:
5x(3-4y)
Step-by-step explanation:
The area of the rectangle shown is 73 sq. Feet. Which equation can be used to find “x”.
A) 6x + 9 = 73
B) 2x + 18 = 73
C) 6x + 3 = 73
D) 6x + 18 = 73
Answer:
6x+18=73
Step-by-step explanation:
Rectangle area w*l
(x+3)*6=73
6x+18=73
George practises his guitar for 1 1/5 hours per day on school days. On Saturday he increases to 2 1/2 times his normal time. How many hours does he practice on Saturdays.
Answer: 231/10
Step-by-step explanation: 11/5 x 21/2
= (11 x 21) = 231
= 231/5 x 2
= 231/10
Answer:
3 hours
Step-by-step explanation
It would be easier to convert your fractions into decimals.
1/5 is the same as 2/10. Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.
2/10 in decimal form is 0.2
He would practice 1.2 hours per day on school days
On Saturday his practice is 2 1/2 times longer than 1.2 hours.
Convert 1/2 into decimal form. 1/2 is the same as 0.5.
So 2 1/2 is the same as 2.5
If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.
1.2 x 2.5 = 3 hours.
1.2
x 2.5
-------
60
24
------------
300
since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer. Instead of 300, your answer becomes 3.00