12. Write the following expression in the form ax? +bx+c, where a, b, and c are real number constants.
(x+6)(x+5)+(x+6)(x-2)
Answers
Answer: x=35
Step-by-step explanation: (x+6)(x+5)+(x+6)(x-2) = (x+6) X (2x+3)= 35
((x + 6) • (x + 5)) + (x + 6) • (x - 2)
Pull out x+6
After pulling out, we are left with :
(x+6) • ( 1 * (x+5) - (-1) * (x-2) ))
(x + 6) • (2x + 3)=35
This is 2x²+15x+18 expression in the form ax²+bx+c.
What is expression?
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
(x+6)(x+5)+(x+6)(x-2)
x²+5x+6x+30+x²-2x+6x-12
2x²+15x+18
Comparing expression to the form ax²+bx+c,
So a = 2, b = 15, and c = 18
Hence, this is 2x²+15x+18 expression in the form ax²+bx+c.
Learn more about Expressions
brainly.com/question/13947055
#SPJ2
Related Questions
Solve the literal equation |ax+b| = c for a
Answers
Answer:
Since we're dealing with absolute value we'll have two answers.
a= c/x-b/x
a= -c/x-b/x
Step-by-step explanation:
Since we can't combine any values inside the absolute value signs we get rid of the absolute value signs.
Now we have: ax+b=c
since we're trying to get a by itself, we subtract the b to get ax= c-b
Now we divide the x and since we can't directly put it with a single value on the right side, we have to put it with both the c and b. Now we have a=c/x-b/x.
For the second answer, you first put a negative with the c. ax+b= -c
Now you solve exactly the same way you did above.
Hope this helps! :)
Rewrite the following mixed number as an improper fraction: -8 2/3
Answers
Answer:
-22/3
Step-by-step explanation:
to convert a mixed number to an improper fraction:
whole number × denominator + numerator
keep the denominator
-8 × 3 + 2
-24 + 2
-22
keep denominator
-22/3
Try & Solve !
Use A Calculator! :)
Let cot(x) = 5/8, with 0 < x < 90. What is sin(x)?
Answers
Answer:
8 / √89
Step-by-step explanation:
1. cot (x) = 5/8
2. 8√89 / 89
3. simplify
4. 8 / √89
Value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
What are trigonometric functions?" Trigonometric functions are mathematical functions which relates angles and sides of a right angle triangle , where 0 < x < 90°."
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( Opposite side)
sin ( x) = ( Opposite side ) / ( Base )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (Opposite side)²
(AC)² = (AB)² + (BC)²
According to the question,
Given
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula we have,
Base = 5
Opposite side = 8
Substitute the value in the Pythagoras theorem we get,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
= 8√89 / 89 ( rationalize √89)
Hence, value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
Learn more about trigonometric function here
https://brainly.com/question/6904750
#SPJ2
Is the ratio 12:14 written in simplest form?
1 point
Yes
No
Practice Problems
Answers
Answer:
i believe so 12:14 is simplified as 6/7 i think
Step-by-step explanation:
0.3 of the 600 students in Morning Star participate in extracurricular activities. How many students participate?
Answers
Answer:
18 or 1.8
Step-by-step explanation:
Answer:
5 students
Step-by-step explanation:
divide 0.3/ 600
Find the value of a and b need help fast
Answers
Answer:
a=65 b=80 ..............
what would the answer be and please show your work
-4x=32
Answers
Answer:
X=-8
Step-by-step explanation:
-4(-8)=32
Answer:
X = -8
Step-by-step explanation:
First, you need to understand to "do the opposite" in both sides of your equation. In this problem, -4 is being multiplied by x. To get x by itself, we must do the opposite, which means dividing both sides by -4 in this problem.
Next, you need to understand how the negative in the -4 will affect your answer. When dividing a positive number by a negative number, the resulting answer will be negative.
Finally, just put all your steps together! Divide both sides by -4, giving you x = 8. Then, apply the negative from the 4 and you'll get a final answer of x = -8! Hope this helps!
I NEED HELP QUICKY PLEASE
NO NEED FOR EXPLAINATION JUST A SIMPLE ANSWER
For the function y = x2 + x + 2, which statements are true? Select all that apply.
A. The equation written in vertex form is y = (x+12)2.
B. The equation written in vertex form is y = (x+12)2+74.
C. The graph of the function opens upward, so it has a minimum of y = 74, at x = −12.
D. The graph of the function opens downward, so it has a maximum of y = 74, at x = −12.
Answers
Answer:
The answer is actually b and c
Step-by-step explanation:
A company has 500 employees and plans to increase the workforce by 10 employees per month until it has doubled in size. Which of the equations below could
be used to determine the number of months, m, it will take until the company has doubled in size?
O A. 2(500)=10m
OB. 500 +10m=2(500)
C. 500 + 10 = 2m
OD. (500+10)2=m
Answers
Answer:
B
Step-by-step explanation:
Because m = months, and they are adding 10 employees per month till they reach double, 2(500).
please help meeeeeeee
Answers
Answer:
923×10‐⁵
please mark brainlist
Answer:
9.23 x 10^-5
Step-by-step explanation:
To set up scientific notation you need to move the decimal point so there is a one digit other than zero in the first part (9.23). To do this you move the decimal point to the right 5 digits, accounting for the negative 5 (10^-5).
It's negative cause it's going right, if it was moving left it would be positive.
please help me fast am stuck
Answers
Answer:
m = 3/2, Option C
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = ( -3-(-6))/(0-(-2))
m = 3/2
Your baseball team is selling donuts to raise money for a trip for each dozen of donuts you sell $3.50 goes towards your trip you hope to earn at least $140 for the trip right and solve an inequality that represents the number X of dozen donuts you must sell to reach your goal
Answers
Winston has just received his monthly credit card statement. He placed 7 charges on his card in the last month with a mean of $34.00 per charge. He knows that 6 of the charges were as follows: $33.78,$34.24,$35.59,$29.88,$36.58,$26.78 Determine the amount of the 7th charge.
Answers
Answer:
$41.15
Step-by-step explanation:
Given That :
Data for 6 charges :
$33.78,$34.24,$35.59,$29.88,$36.58,$26.78
Total number of charges = 7
Mean value for the 7 charges = $34.00
Amount of the 7th charge :
Let amount = c
(33.78 + 34.24 + 35.59 + 29.88 + 36.58 + 26.78 + c) / 7 = 34.00
= (196.85 + c) / 7 = 34
196.85 + c = 34 * 7
196.85 + c = 238
c = 238 - 196.85
c = $41.15
The amount of the 7th charge is $41.15
Given That :
Data for 6 charges: $33.78, $34.24, $35.59, $29.88, $36.58, $26.78.
Total number of charges = 7
Mean value for the 7 charges = $34.00
Amount of the 7th charge :
Let amount = c
So,
[tex]\frac{\left(33.78+34.24+35.59+29.88+36.58+26.78+c\right)}{7}=34.00\\\frac{(196.85+c)}{7} = 34\\196.85 + c = 34 * 7\\196.85 + c = 238\\c = 238 - 196.85\\c = $41.15[/tex]
Find out more information about the Mean value here: https://brainly.com/question/19243813
Round 4,482,186 to the hundreds place
Answers
Answer:
4,482,186 becomes 4,482,190
Step-by-step explanation:
there are 600 seats in the jefferson middle school auditorium. the students are using 2/3 of the seats. There are 25 seats being used by teachers. how many seats are empty?
answer choices:
425
175
225
275
Please Help Meeeee!
Answers
How can a regular hexagon be folded to show that it has reflectional Symmetry?
> Fold the Hexagon a line from the vertex to the midpoint of an opposite side.
> Fold the hexagon along a line connecting the midpoints of adjacent sides.
>Fold the Hexagon along a line that bisects two vertex angles.
> Fold the Hexagon along a line that creates a right angle at a Vertex.
Sorry Please Help:)
Answers
Answer:
the answer is to fold the hexagon along a line that bisects two vertex angles.
Step-by-step explanation:
pls mark me as a brainllest
Correct way of reflectional symmetry of regular hexagon is given by
Fold the hexagon along a line that bisects two vertex angles.
What is reflectional symmetry?
" Reflection symmetry is a type of symmetry which shows its reflection of its one half plane same as other half."
According to the question,
As shown in diagram drawn of regular hexagon.
Fold the regular hexagon from the line drawn in the diagram to represent the reflectional symmetry.
Hence, we conclude that Option(C ) is the correct answer.
Learn more about reflectional symmetry here
https://brainly.com/question/1531736
#SPJ2
PLEASE HELP ASAP MARKING BRAINLIEST ⚠️⚠️
use the equation to complete the table
y=3/8x-5
**the last number of the table is 24
Answers
Answer:
minus 5 but make sure you change 3/6 to decimal form
Answer:
-8, -5, -2, 1, 4
Step-by-step explanation:
when adding and subtracting multi digit decimals you must line the decimal point up in both numbers true or false
Answers
Answer: true
Step-by-step explanation:
[tex]\boxed{Please\;answer\;the\;following...}[/tex]
[tex]What\;is\;the\;slope,\;y\;intercept\;and\;equation\;for\;the\;following?\\\\1...\;2x + y = 2\\2...4x + y = -5\\3...4x + 2y = 6\\4...-6x + 3y = -9\\5...x + 3y = 6\\\\-EQUATIONS\;IN\;SLOPE\;INTERCEPT-[/tex]
Answers
Answer: see below
Step-by-step explanation:
Slope-Intercept form is: y = mx + b where
m is the slopeb is the y-intercept1) 2x + y = 2
y = -2x + 2 Subtracted 2x from both sides
↓ ↓
m= -2 b= 2
Slope (m) = -2 y-intercept (b) = 2 Equation: y = -2x + 2
2) 4x + y = -5
y = -4x - 5 Subtracted 4x from both sides
↓ ↓
m= -4 b= -5
Slope (m) = -4 y-intercept (b) = -5 Equation: y = -4x - 5
3) 4x + 2y = 6
2y = -4x + 6 Subtracted 4x from both sides
y = -2x + 3 Divided 2 from both sides
↓ ↓
m= -2 b= 3
Slope (m) = -2 y-intercept (b) = 3 Equation: y = -2x + 3
4) -6x + 3y = -9
3y = 6x - 9 Added 6x to both sides
y = 2x - 3 Divided 3 from both sides
↓ ↓
m= 2 b= -3
Slope (m) = 2 y-intercept (b) = -3 Equation: y = 2x - 3
5) x + 3y = 6
3y = -x + 6 Subtracted x from both sides
y = (-1/3)x + 2 Divided 3 from both sides
↓ ↓
m= -1/3 b= 2
Slope (m) = -1/3 y-intercept (b) = 2 Equation: y = (-1/3)x + 2
Quiana made 5 equal monthly payments from her bank account which rational number shows something being removed 5 time
Answers
Answer:
The answer is -5
Answer:
the answer is -5
Step-by-step explanation:
I did this and it was right
What word is often used as a transition tag to show the progression of the time in a story?
A.since
B.then
C.when
D.only
Answers
Answer:
The answer is: C- then
Step-by-step explanation:
Answer:
B. then
Then is often used as a transition tag to show the progression of time in a story.
8. A jar holds twenty-seven coins which are either nickels or dimes. The coins are worth $1.95. How many dimes are in the jar?
Answers
Answer:19 dimes 1 necke
John works 30 hours a week at kmart
earning $8.25 an hour how much does
he earn Gross total pay for one week?
He also pays 6% towards taxes from
his Gross Pay How much does he
Pay in taxes? After taxes are deducted
from his paycheck,how much does
john take home
Answers
Answer:
WHO CREATED THIS
TELL ME PLEASE
Step-by-step explanation:
Jolene has 30 days to prepare for a
bicycle race. She will bicycle 15 miles
each day. How many miles will
Jolene have bicycled during her
training?
Answers
Answer:
450
Step-by-step explanation:
15*30
What do zero pairs not do?
Answers
Answer:
They do nothing
Step-by-step explanation:
Answer:
they do nothing it zero pairs
Step-by-step explanation:
Martine’s town is building a volleyball court based in a scale drawing that is 40centimeters by 80 centimeters and uses the scale 1 cm: 22.5cm
Part B
What are the length and the width in meters of the actual court? Show your work
Select all the correct answers,
Hint
Length: (2)(80) = 900 cm =9 m
Length: (22.5)(80) = 1,800 cm = 18 m
length: (40)(80) =3,200 cm = 32 m
Width: (2)(40) = 80 cm =3 m
width: (22.5)(40) = 900 cm = 9 m
width: (40)(80) = 3,200 cm = 32 m
Answers
Answer:
9m by 18mStep-by-step explanation:
Current drawing measurement is 40cm by 80cm using the scale 1cm:22.5cm. This scale means that the original dimension of the court has been reduced by 22.5 for every 1cm. To get the original dimension, we will multiply the given dimension by 22.5cm each as shown.
For 40cm length
Original length = 40 * 22.5
Original length = 900 cm
Convert to metres:
100cm = 1m
900cm = x
cross multiply:
100x = 900*1
x = 900/100
x = 9m
Hence 900cm = 9m
For the 80cm width:
Original width = 80 * 22.5
Original width = 1800 cm
Convert to metres:
100cm = 1m
1800cm = x
cross multiply:
100x = 1800*1
x = 1800/100
x = 18m
Hence 1800cm = 9m
Hence the length and the width of the actual court in metres is 9m by 18m
2(-4 -2x) +5=25 please answer i well give u 19 points
Answers
Answer:
x=-7
Step-by-step explanation:
-8 - 4x+5=25
-3 - 4x=25
-4x=25+3
-4x=28
x=-7
Omg bruhhhhhhhhhhhhhh
Answers
Answer:
I don't understand srry
Step-by-step explanation:
byshjssi
The domain of the following relation R {(6, -2), (1, 2), (-3, -4), (-3, 2)} is (1 point)
A. {-1, 1, 3}
B. {-5, -4, 2}
C. {-1, -1, 1, 3}
D. {-4, -5, 2, 2}
Answers
Answer:
B. {-5, -4, 2}
Step-by-step explanation:
brainliest
9/10 + -4/5 help please
Answers
Answer:
1/10
Step-by-step explanation:
First you've got to find common denominators. The common denominator would be 10 since 10 is divisible by 5 and 10. That means you've got the change the denominator of -4/5. Multiply both the numerator and denominator by 2 to grt -8/10.
Then all you have to do is:
9 + -8 1
——— = —
10 10
Khan academy also has some great videos on this if you're confused.