Step-by-step explanation:
Equation at the end of step 1
(3x2 - 38x) + 24 = 0
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 3x2-38x+24
The first term is, 3x2 its coefficient is 3 .
The middle term is, -38x its coefficient is -38 .
The last term, "the constant", is +24
Step-1 : Multiply the coefficient of the first term by the constant 3 • 24 = 72
Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -38 .
-72 + -1 = -73 -36 + -2 = -38 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -36 and -2
3x2 - 36x - 2x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-12)
Add up the last 2 terms, pulling out common factors :
2 • (x-12)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (x-12)
Which is the desired factorization
Equation at the end of step2:
(x - 12) • (3x - 2) = 0
STEP3:Theory - Roots of a product
3.1 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.
Solving a Single Variable Equation:
3.2 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Solving a Single Variable Equation:
Step-by-step explanation:
[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]
A recycling center has 100 kilograms of shredded plastic yogurt containers. What volume in m3 is needed to hold this amount of shredded plastic? Assume the lowest density within the range.
AnswerI dont kow
Step-by-step explanation:
Can some one help? I need help asap.
Answer:
8x² - 27x + 20
Step-by-step explanation:
Given
4x(2x - 3) - 5(3x - 4) ← distribute both parenthesis
= 8x² - 12x - 15x + 20 ← collect like terms
= 8x² - 27x + 20 ← in standard form
Answer:
-19x+20
Step-by-step explanation:
So we need to simplify this the first step is
4x(2x-3) The first part of the equation
4x(2x) - 4x(3)
8x -12x
-4x
then the second part
-5 (3x-4)
-5(3x)+20
-15x+20
add togeter
-4x-15x
-19x
-19x+20
The sum of x and ten is equal to y times z.
Answer:
x+10=yz
Step-by-step explanation:
draw a hexagon of equal sides and unequal angles
Answer:
This is a picture of a hexagon of equal sides and unequal angles.
HURRYY I HAVE 2 MINS LEFTTTTTT
Before making invitations, katrina counted the supplies she bought for her party. She counted 36 water balloons and 81 beads to make bracelets. She then needed to decide how many invitations to make.
A. 6
B. 7
C. 9
D. 10
.Un baúl de 10,5 kg está apoyado en el suelo.Si se tira de él verticalmente hacia arriba con una fuerza de 52,9 N, determina el valor de lanormal.
Respuesta: 50N
Explicación paso a paso:
Dado lo siguiente:.
Tensión (T) = 52,9 N
Masa (m) = 10,5 kg
La normal se obtiene usando la relación:
N = mg - T; donde N = normal, g = aceleración debida a la gravedad (9,8 m / s²)
N = mg - T
N = (10,5 * 9,8) - 52,9
N = 102,9 - 52,9
N = 50 N
Answer:
hey ¿How are you?
Step-by-step explanation:
bye
ten subtructed from a number
10
Answer:
0
Step-by-step explanation:
10 - 10 = 0
Answer:
Step-by-step explanation:
Let the number be x
∴ x − 10
plz mark as brainliest
Write the equation in slope-intercept form of the line given that the slope of the line is 5 and the line passes
through the point (3, 4)
Answer:
let's go...
Step-by-step explanation:
We should use this function to find the standard form the line :
[tex]y - y(given \: point) = (gradient) \times ( \: x - x(g \: p) \: ) \\ y - 4 = 5 \times (x - 3) \\ y - 4 = 5x - 15[/tex]
subtract the sides of the equation plus 4
[tex]y = 5x - 15 + 4 \\ y = 5x - 11[/tex]
And we're done buddy.
good luck ♥️♥️♥️♥️♥️.
how do I solve this equation 5x+7=3x-5
Answer:
x = -6
Step-by-step explanation:
Simplifying
5x + 7 = 3x + -5
Reorder the terms:
7 + 5x = 3x + -5
Reorder the terms:
7 + 5x = -5 + 3x
Solving
7 + 5x = -5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
7 + 5x + -3x = -5 + 3x + -3x
Combine like terms: 5x + -3x = 2x
7 + 2x = -5 + 3x + -3x
Combine like terms: 3x + -3x = 0
7 + 2x = -5 + 0
7 + 2x = -5
Add '-7' to each side of the equation.
7 + -7 + 2x = -5 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = -5 + -7
2x = -5 + -7
Combine like terms: -5 + -7 = -12
2x = -12
Divide each side by '2'.
x = -6
Simplifying
x = -6
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
We have,
To solve the equation 5x + 7 = 3x - 5, we need to isolate the variable x on one side of the equation.
Here's how we can do that:
Start by subtracting 3x from both sides of the equation to move all the x terms to one side:
5x + 7 - 3x = 3x - 5 - 3x
Simplifying, we get:
2x + 7 = -5
Next, subtract 7 from both sides of the equation to isolate the term with x:
2x + 7 - 7 = -5 - 7
Simplifying, we get:
2x = -12
Now, to solve for x, we divide both sides of the equation by 2:
(2x)/2 = (-12)/2
Simplifying, we get:
x = -6
Thus,
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Joe walks 12 miles
every 4 trips to
school. How many
miles will Joe walk
after 6 trips?
Answer: 18 miles
12 ÷ 4 = 3. So, we must multiply 3 by 6 to find how much Joe walks for 6 trips to school.
-------------------------------------------------------------------------------------------------------------------------
Now, we must multiply the number 6 by 3.
6 x 3 = 18
-------------------------------------------------------------------------------------------------------------------------
Answer = 18
Answer:
18 miles
Step-by-step explanation:
We can write ratios to solve
12 miles x miles
---------- = ------------
4 trips 6 trips
Using cross products
12 *6 = 4x
72 = 4x
Divide by 4
72/4 = 4x/4
18 miles
distance between -6.5 and -9.1 show work pls
Answer:
2.6 is the distance
Step-by-step explanation:
9.1 - 6.5 = 2.6
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of
each prize she can buy.
Answer:
1.25x + 1.5y=25
Step-by-step explanation:
let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.
The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Let the number of lip balm that can be purchased be x, and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25
Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Learn more about equations here:
brainly.com/question/10413253
#SPJ5
You and three friends go to a restaurant for dinner.You share three appetizers that cost $6 each. You also share two desserts that cost $3 each.You split the total bill evenly. How much does each person pay.
TELL ME HOW TO SHOW MY WORK PLZ AND I WILL MRAK BRAINLEST P.s after 2 ppl answerd
Answer:
$6 Each
Step-by-step explanation:
First, add all the costs together:
3 $6 apps
3*6=18
2 $3 desserts:
2*3=6
Add the totals up to get a total of $24, then divide that by 4 since it's being split between 4 people.
I need HELLLPPPPP. A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be
found using the function below.
c(t) = 87.50t + 12.50
If the student spent a total of $800 on tickets, how many tickets did she buy?
+/-
Answer:
The answer is 9.
Step-by-step explanation: Things to know: c is total cost and t tickets. 800 is the total cost so plug it in to c. You want to get t (tickets) alone.
original: c(t)=87.50t+12.50
Now with the 800: 800=87.50t+12.50
Subtract 12.50 to both sides: 787.5=87.50t
Divide 87.50 to both sides: 9=t
Hopefully this helped. :]
what is this fraction as a decimal?
There are 133 students and 15 teachers going on a field trip. Each bus can hold a maximum
of 24 people. What is the fewest number of buses required for the field trip?
1. 7
2. 5
3. 4
4. 6
Answer:
7
Step-by-step explanation:
The area of a square room is 125 square feet. To the nearest foot, what is the length of one side of the room?
Answer:
Side = [tex]5\sqrt5\ \text{feet}[/tex]
Step-by-step explanation:
Given that,
Area of a square room is 125 square feet
We need to find the length of one side of the room.
The area of a square shaped room is given by :
[tex]A=x^2[/tex]
Where, x is side of the square room
[tex]x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}[/tex]
So, the side of the room is [tex]5\sqrt5\ \text{feet}[/tex].
Three consecutive odd integers sum to 15. What are the integers?
Set up a proportion and use cross multiplication to solve.
15 is____ % of 60
Answer:
4%
Step-by-step explanation:
Complete the statement.
(3a? - 5ab + b2) - (-3a2 + 2b2 + 8ab) =
Answer:
6a^2 - 13ab - b^2 (option 1)
Step-by-step explanation:
(3a^2 - 5ab + b^2) - (-3a^2 + 2b^2 + 8ab)
3a^2 - 5ab + b^2 + 3a^2 + -2b^2 + -8ab
6a^2 - 13ab - b^2
Answer: 6a^2 - 13ab - b^2
Step-by-step explanation:
3a^2 - 5ab + b^2
+3a^2 - 8ab - 2b^2
=
6a^2 - 13ab - b^2
PLS HELP! I'LL MAKE YOU BRAINLIEST!
Answer:
y = mx + b slope(m) = 1/2 (-2,1)...x = -2 and y = 1 now we sub and solve for b, the y int 1 = 1/2(-2) + b 1 = -1 + b 1 + 1 = b 2 = b so ur equation is : y = 1/2x + 2 <== here is one answer y - y1 = m(x - x1) (slope(m) = 1/2 (-2,1)...x1 = -2 and y1 = 1 now we sub y - 1 = 1/2(x - (-2) = y - 1 = 1/2(x + 2) <== here is another answer
Step-by-step explanation:
what is 4.13 multiplied by 10,000
Answer:
41,300
you can take the 4.13 and put it in the first three spaces hope this helps
Answer:
its 41300 just add your powers, its like 4.13 to the ten-thousanth power
Step-by-step explanation:
put the 4 infront of the decimal and 13 behind, and move it and add places markers till you get where u need to go
(sorry, im not THAT good at explaining things -ω-
What is the rate of change of the line through (-2,-2) and (-1,5)?
Answer:
The rate of change or the slope is 7. (If you were to graph this, you would use 7/1.
Step-by-step explanation:
To find the slope when you're given two sets of points, you must find the distance from the y values and the distance from the x values!
Y values: distance from -2 to 5 is +7
X values: distance from -2 to -1 is +1
7/1 or just 7.
Hope this helps! :)
((-2,3) and (4,7)
what is the distance of this
Answer:
Step-by-step explanation:
(-2, 3 ) ; (4 , 7)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]
Solve: −4d − 6 = −10
Answer:
hi
Step-by-step explanation:
[tex] - 4d - 6 = - 10 \\ - 4d = - 10 + 6 \\ - 4d = - 4 \\ d = 1[/tex]
i think so…
Answer:
_4d=_10+6
_4d=_4
_4/_4d=_4/_4
d=1
I've attached a screenshot of the question, please solve
Answer:
b
Step-by-step explanation:
when you multiply out using FOIL (First Inner Outer Last) you get b
There are 8 boys and 3 girls from sixth grade in the marching band write 2 different ratios to compare the number of boys and the number of girls
__ : __ and __ : __
Answer:
8:3 and 3:8
Step-by-step explanation:
Help me plz!!! I give brainliest
Answer:
i hope u accidentally hit the X and it doesn't save your work
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14)(7,−14) in the simplest form?
Answer:
1
Step-by-step explanation:
x2 minus x1 over y2 minus y1
Answer:
-3/2
Step-by-step explanation:
-15/10 = -3/2 when you simplify
How do u check your answer for 4x+12-2x=26
Answer:
7
Step-by-step explanation:
4x+12-2x=26
Or, 2x=26-12
Or, 2x=14
Or, x=7