One factor of equation x³ + 6x² + 12x + 8 is (x + 2).
Describe equation.
Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
According to the given question:
Here,
The Expression is
=> x³ + 6x² + 12x + 8
=> (x³ +8) + 6x (x+2)
= > (x + 2) ( − 2x + 4) + 6x(x + 2)
= >(x + 2) { − 2x + 4 + 6x}
= > (x + 2) ( + 4x + 4)
=> (x + 2) { x² + 2(2)(x) +2²}
=> (x+2) is a factor
Therefore, one factor of equation x³ + 6x² + 12x + 8 is (x + 2).
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What is the total number of outcomes in each situation?
rolling two number cubes
A. 8
B. 18
C. 36
D. 12
Answer:
36
Step-by-step explanation:
question 8 thank youuu
Step-by-step explanation:
hope this help have a great day
Find the measure of angle MNQ
Answer:
∠MNO = 158°
Step-by-step explanation:
∠MNO = 1/2(91° + 225°) = 158°
What is the equation of the line shown in the graph?
what's 1 + 1 i already know this but i’m just looking out for yall
Answer
2
Step-by-step explanation:
1+1=2
Answer: Window
Step-by-step explanation:
1+1 the the = on top :D
Which of the following is a valid conclusion about the data?
Answer: D
Step-by-step explanation:
1/4a + (-6) - 3/4a + 2.8, what is equivalent to this expression?
The equivalent for the expression 1/4a + (-6) - 3/4a + 2.8 is -(2+12.8a)
How do we find the equivalent of an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
For example 2x+ y+5y+6x is an example of expression and it's equivalent is 8x+6y
simplifying the expression 1/4a + (-6) - 3/4a + 2.8,
multiply through by 4a
1-24a-3+11.2a
collect like terms
1-3-24a+11.2a
= -2-12.8a
= -(2+12.8a)
therefore 1/4a + (-6) - 3/4a + 2.8 = -(2+12.8a)
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Please help! The question is on the photo
Answer:
(0, 3) (0, -4) (-5, 4) (1, 1)
find the slope-intercept equation of the line that passes through (0,1) and has a slope of -2/3
Answer:
y = -2/3x + 1
Step-by-step explanation:
We already know the slope, so all we need to do is find the y-intercept. To find that, we need to plug the coordinates into the equation so far, which is,
y = -2/3x + b
1 = -2/3(0) + b
1 = 0 +b
1 = b
So the equation is y = -2/3x + 1
neeed help with this thanks
100-(8x2)+15/3 and pls explain
Answer:
89
Step-by-step explanation:
Firstly u need to calculate the numbers in the bracket .
So,
8×2 = 16
15/3 = 5
100 - 16 + 5 = 89
Solve the system
x+2y=-11
3y=x+1
Answer:
x=-13, y=-4
Step-by-step explanation:
Answer: x=-7 y=-2
Step-by-step explanation:
x+2y=-11
3y=x+1
x=-2y-11 (1)
3y=x+1 (2)
Substitute the value of x of equation (1) into equation (2):
3y=-2y-11+1
3y=-2y-10
3y+2y=-2y-10+2y
5y=-10
Divide both parts of the equation by 5:
y=-2
Substitute the value of y=-2 into equation (1):
x=-2(-2)-11
x=4-11
x=-7
Thus, (-7,-2)
a number has three distinct digits, the sum of the digits equals the products of the digits. how many three digit numbers satisfy this condition?
Only one three digits number 111 would satisfy this condition.
Let the three digits be x, y and z. Since the sum of the digits is equal to the product of the digits, we can write x + y + z = xyz
Simplifying the equation, we get x + y + z - xyz = 0
This is a quadratic equation in the form ax2 + bx + c = 0 where a = 1, b = 1 and c = -xyz
To solve this equation, we use the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a
In this case, x = [-1 ± √(1 - (-4 * 1 * (-xyz))]/2
Since xyz must be a positive integer, the only solution is when the square root of 1 - (-4 * -xyz) is 0
This means xyz must be 1, so x + y + z = 1 + y + z = 3
Since x, y and z are all distinct digits, the only possible solution is when x = 1, y = 1 and z = 1, giving the solution 111.
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Review Exercise 14b
Find the truth set of the following equations
i) 3(2x+1)=8
Answer:
5/6
Step-by-step explanation:
x = 5/6.
5. Find the length of the side denoted b "y" to the nearest tenth.
Answer:
y = 24√3, or approximately 41.6
Step-by-step explanation: √3 36
Here the ratio 36/y = cosine of 30 degrees = ------- = ------
2 y
Cross-multiplying yields (√3)y = 72, so y = 72/√3, or 72√3/3, or y = 24√3
Find the range of the following numbers: 10 78 22 354 75 81 8 6 A 8 C 27 B 81 D 78
Answer:
348
Step-by-step explanation:
6 8 10 22 75 78 81 354
subtract the highest number to the lowest number
there are 549 coins in a bottle
one third of the coins are £1 coins
164 of the coins are 50p coins
the rest of the coins are 20p coins
work out the value of the 549 coins in pounds (£)
The value of the 549 coins in pounds (£) is 305.4 .
What is fraction multiply?
Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. The procedure to multiply the fractions are: Multiply the numerator with numerator. Multiply the denominator with the denominator. Simplify the fractions, if required.
Given:
Total coins : 549 coins
one third(1/3) of the coins are £1 coins
164 of the coins are 50p coins
rest of the coins are 20p coins
one third of 549 = 549/3 = 183
Thus ,
£1 coins = 183
50p coins = 164
20p coins = 549 - (183 + 164) = 202
value of the 549 coins in pounds (£) is given by
[tex]= 549 * \frac{1}{3} * 1 + 164* 0.5 + (549 *\frac{2}{3} - 164)*0.2\\\\= 183 + 82 +40.4\\\\= 305.4[/tex]
Hence , the value of the 549 coins in pounds (£) is 305.4 .
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What triangle congruence postulate would you use to prove these triangles are congruent.
Answer:
I don't know
Step-by-step explanation:
sorry
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
D. 6x2 + 3x - 7
Step-by-step explanation:
HELP ASAPPPPP PLZZZZ Question in pic!!!!!
Step-by-step explanation:
Given
5y + 68 = 3y + 96 (vertically opposite angles) and
3x + 18 = 5x + 2 (vertically opposite angles)
Now solve for x.
[tex]3x + 18 = 5x + 2 \\ 3x + 18 - 5x = 2 \\ - 2x + 18 = 2 \\ - 2x = 2 - 18 \\ - 2x = - 16 \\ x = - 16 \div - 2 \\ = 8[/tex]
Now Solve for y.
[tex]5y + 68 = 3y + 96 \\ 5y + 68 - 3y = 96 \\ 2y + 68 = 96 \\ 2y = 96 - 68 \\ 2y = 28 \\ y = 14[/tex]
170% of what number is 40?
Provide and exact fraction answer
Answer: 23.53
Step-by-step explanation:
We have, 170% × x = 40
or,
170
100
× x = 40
Multiplying both sides by 100 and dividing both sides by 170,
we have x = 40 ×
100
170
x = 23.53
If you are using a calculator, simply enter 40×100÷170, which will give you the answer.
Solve for x, then find the m HED. Please helppp
Answer:
x=3, HED =39
Step-by-step explanation:
Solution :
[tex]10x + 21 + 13x = 90[/tex]
[tex]23x = 90 - 21[/tex]
[tex]23x = 69 = > x = 3[/tex]
Angle HED = 13 × 3 = 39°
Hope this helps!
For what values of x is the expression below defined?
A. 4> xs-1
B. 45xs1
C. 4 >x>1
D. -4sx< 1
Answer:
D.
Step-by-step explanation:
D.-4sx<1!I think is d
What is x-2.3y=0.6 -x+5.1y=-6.2
what equals 7x+19 pls help
Answer:
it’s unknown
Step-by-step explanation:
the variable is unknown so it would stay 7x + 19 until you know the variable unless you’re able to do 26x
how many 3 digit whole numbers are there between 99 and 1000
Answer:
901
Step-by-step explanation:
1000 - 99 = 901
thats how you find the answer
Answer:
910
Step-by-step explanation:
How many more people in the world speak Chinese than speak English?
Answer:
The answer is 912 million
Step-by-step explanation:
912 million people speak Chinese in the world than they do English.
Wanda's dog eat 35 pounds of dog food each week. At this rate, how many pounds of dog food they eat in 12 days what is the answer?
Answer:
420
Step-by-step explanation:
35 x 12 = 420
Answer:
420
Step-by-step explanation:
If$2500was invested 6 years ago, andtheinterestwascompoundedquar-terly,whatwastheinterestrateifthecurrentvalueis$3425?
Answer:
The interest rate was 5.24%.
Step-by-step explanation:
You can use the following formula to calculate the interest rate:
i=n*((A/P)^1/nt-1), where:
i= interest rate
n= number of times interest is compounded= 4
A=value of investment= 3425
P= principal= 2500
t=time= 6
Now, you can replace the values on the formula:
i=4*((3425/2500)^1/4*6-1)
i=4*(1.37^1/24-1)
i=4*0.0131
i=0.0524
According to this, the answer is that the interest rate was 5.24%.
Find x: a - bx = cx + d
Answer:
x= -(d-a)/(b+c)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero