Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?
Answer:
x²+x+12 = 0
Step-by-step explanation:
Area if the wooden frame = ,Length ×Width
A = LW
If the length of wooden frame is 1foot longer than it's width, then;
L = W+1
Given
A = 12ft²
Substitute the derived and given parameters into the formula to have;
P = (W+1)W
12 = (W+1)W
Open the parentheses
12 = W²+W
Subtract 12 from both sides
12-12 = W²+W -12
0 = W²+W-12
Rearrange
W²+W-12 = 0
If W = x
The quadratic equation becomes:
x²+x+12 = 0
1. Find the Least Common Multiple of these two monomials:
See picture
Answer:
The last choice is correct
[tex]LCM=120a^4b^7c^5[/tex]
Step-by-step explanation:
Least Common Multiple (LCM)
To find the LCM we can follow this procedure:
List the prime factors of each monomial.
Multiply each factor the greatest number of times it occurs in either factor.
We have two monomials:
[tex]12a^4b^2c^5[/tex]
[tex]40a^3b^7c^1[/tex]
The prime factors of the first monomial are:
[tex]2^2,3,a^4,b^2,c^5[/tex]
The prime factors of the second monomial are:
[tex]2^3,5,a^3b^7c^1[/tex]
LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]
These are all the factors the greatest number of times they occur.
Operating:
[tex]LCM=8*15*a^4*b^7*c^5[/tex]
[tex]\boxed{LCM=120a^4b^7c^5}[/tex]
The last choice is correct
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
Please consider Brainliest :)
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)
how do you convert fractions to decimals?
Answer: division :3
Step-by-step explanation:
The line in a fraction that separates the numerator and the denominator represents division.
To convert a fraction to a decimal, divide the numerator by the denominator.
15x minus 8 is less than 32
Answer:
If you want this in an equation, it would be [tex]15x <32[/tex]
If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]
Step-by-step explanation:
Hope this helps:)
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
Which statement is best represented by the inequality d greater-than 11?
Mo worked more than 11 hours this week.
Mo worked 11 more hours than Quinn worked this week.
Mo worked less than 11 hours this week.
Mo worked 11 less hours than Quinn worked this week.
answer:
mo worked more than 11 hours this week.
Answer:
A
Step-by-step explanation:
Luke can purchase a 10-pound item from several different stores. Which of the following is the best buy?
Answer:
What are the stores & the data?
5(x – 10) = 30 – 15x
Solve
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
help i need to pass:/
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
Does this table represent a linear function? Why or why not?
x y
2 5
4 8
6 12
8 17
10 23
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
PLease help thanks legit only!!!!!!!!!!!!!
The slope is 0, or answer choice c.
What is -9 over 22 divided by -3 over 4 in fractions?
Answer: 6/11
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4
A 20 gallon tank is 3/4 full. How many gallons are in the tank?
Answer:
15 gallons
Step-by-step explanation:
(3 / 4) * (20 US gallons)
= 15 gallons
Answer:
15 gallons are in the tank
Step-by-step explanation:
3/4(20)
The diameter of a circle is 3 1/2m, what is the radius?
Answer:
1,75 m
Step-by-step explanation:
The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m
Answer:
1.75m
Step-by-step explanation:
d=3 ½
r=d÷2
so 3 ½ ÷ 2= 1.75
solve for x: 1/2(x-10)=3/4(x+20)
Answer:
x = -80
Step-by-step explanation:
[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
Express x in terms of y:
3(x + 2y) = 2x = 5y
Answer:
-6y=x
Step-by-step explanation:
3x+6y=2x=5y
Subtract 5y from all
3x+y=2x-5y
subtract y and 2x from both sides
x=-6y
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does this situation represent additive inverses explain
х+5y = 3
3х - 2y = -8
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
what is −58+34 any one know?
Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
Which one?
A. B. C. Or D.
Answer:
D
Step-by-step explanation:
Given
a² - 1 = 0 ( add 1 to both sides )
a² = 1 ( take the square root of both sides )
a = ± [tex]\sqrt{1}[/tex] = ± 1
solution is { 1, - 1 } → D
Answer:
D) {1, -1}
Step-by-step explanation:
Please share the instructions for this problem: Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.
Answer D is correct. Try substituting 1 for a, and then -1 for a. In both cases the given equation is true.
graph y = -3/2x - 3 .
Answer:
hope this helps
Step-by-step explanation:
Answer:
you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)
Step-by-step explanation:
What am I supposed to do?
Answer:
28
Step-by-step explanation:
ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28
can any one help me plz