We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab
Just add all these expressions and you will get your answer as ;
[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]
[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]
Collect like terms ;
[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]
Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.
f(x+h) =
f(x+h)-f(x) =
f(x+h)-f(x)/h =
f'(x) =
[tex]\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}[/tex]
[tex]\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill[/tex]
167
4
3
2
1
-6 -5 -4 -3 -2
4
2
3
6
- 2
-1
slope =
- 2
-3
--
What is the slope
Answer:
5/2
Step-by-step explanation:
I used coordinate (-4, -2) and (-2, 3)
Slope=change in y/change in x
-2-3=-5
-4-(-2)=-2
-5/-2=5/2
Answer:
[tex]\frac{-5}{-2}[/tex] or 2.5
Step-by-step explanation:
(-2,3) and (-4,-2)
[tex]\frac{-2-3}{-4-(-2)}[/tex] ==> [tex]\frac{-5}{-2}[/tex] ==> 2.5
Hope that helps!
PLS HELP ME!!!! Use the graph to find the relationship between the two variables. Select all that apply.
Answer:
The graph is not visible!
You could have positive or negative correlation.
Hope this helps!
can anyone please help me please, i will give free brainliest
Answer:
1/2
Step-by-step explanation:
Yes, I agree.
Make a graph [tex]y=-\frac{4}{5}x+\frac{2}{5}[/tex]
The point of intersection of the line with x-axis is the solution of [tex]-\frac{4}{5}x+\frac{2}{5}=0[/tex]
Multiply by 5 on both sides, get -4x + 2 = 0, x = 2/4 = 1/2
The solution is 1/2.
The expression (x3)(x-17) is equivalent to x". What is the value of n?
Answer:
Hello how are you
n equals -14
differentiate between factors and prime factors use relavant examples in your explanations?
Answer:
The factors of a number are all of the numbers that will divide into that number with no remainder. The prime factors of a number are the prime numbers that must be multiplied together to give the number. For example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The prime factors of 30 are 2, 3, and 5.
7(-4x - 1) = 49
Not sure of steps
Answer:
Step-by-step explanation:
7(-4x - 1) = 49
-28x - 7 =49
-28x = 49 + 7 = 56
x = 56/(-28) = -2
Answer:
7 x - 4x = - 28x
7 x - 1 = - 7
-28x - 7 = 49
+7 both sides
-28x = 56
÷ - 28
x = 56/-28
x = - 2
I substitute to double check my answer:
- 4x
-4x-2 =8
7(8- 1)
7x 8 = 56
7 x - 1 = - 7
56-7= 49
Hope this helps!
Help me find the equation of the line. Whoever answers will get Brainliest. (SERIOUS ANSWERS ONLY)
Answer:
Y= 9/10x - 1.2 (or 1.3)
Or - 1. 2 is 6/5
Thus, Y= 9/10x - 6/5
Hope this helps!
I really need help Really
Answer:
920cm^2
Step-by-step explanation:
look at the attachment below hope it helps pls mark brainliest :)
brainliest for best answer
Answer:
Slope = -5/8
Step-by-step explanation:
Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).
We are going to use the formula for finding the slope of a line now.
y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8
Slope = -5/8
True or false analysis only involves identifying meaning and subject and predicate terms
Answer:
i would say the answer is true but I'm not completely sure this is the answer.
Answer:
TRUE
Step-by-step explanation:
A shopkeeper sold a table for Rs 2400, he loses 6% of its cost price.find the cost price of the table.
Answer:
Table price is Rs 2544
Step-by-step explanation:
Table sold = Rs 2400
Losses = 6%
Now find 6% of 2400
( 2400 × 6 ) ÷ 100 = 144
Add this answer to table price sold
2400+ 144 = 2544
Mark brainliest if you understand
The total cost of an eraser, 2 similar pens and a ruler is $13. The total cost of 2 similar erasers, a pen and a ruler is $11. The cost of 3 erasers is the same as that of 2 rulers. Find the cost of a ruler.
Answer:
$3
Step-by-step explanation:
Let the cost of an eraser, a pen and a ruler be $e, $p, and $r respectively.
Given:
e +2p +r= 13 -----(1)
2e +p +r= 11 -----(2)
3e= 2r -----(3)
(1) ×3:
3e +6p +3r= 39 ----(4)
Substitute (3) into (4):
2r +6p +3r= 39
6p +5r= 39 -----(5)
(2) ×3:
6e +3p +3r= 33 -----(6)
Substitute (3) into (6):
2(2r) +3p +3r= 33
4r +3p +3r= 33
3p +7r= 33 -----(7)
Let's rewrite equations (5) &(7) so it's easier to compare them:
6p +5r= 39 -----(5)
3p +7r= 33 -----(7)
We can eliminate the term p to find the value of r. This can be done by making sure that the coefficient of p is equal in both equations.
(7) ×2:
6p +14r= 66 -----(8)
(8) -(6):
6p +14r -(6p +5r)= 66 -39
Expand:
6p +14r -6p -5r= 27
9r= 27
r= 27 ÷9
r= 3
Thus, the cost of a ruler is $3.
A $290 suit is marked down by 30%. Find the sale price.
Answer:
I believe the new price is 203.
Step-by-step explanation:
Consider the following expression and determine which statements are true.
\dfrac{7}{r}+2^3+\dfrac{s}{3}+11
r
7
+2
3
+
3
s
+11start fraction, 7, divided by, r, end fraction, plus, 2, cubed, plus, start fraction, s, divided by, 3, end fraction, plus, 11
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
The entire expression is a sum.
(Choice B)
B
The coefficient of sss is 333.
(Choice C)
C
The term \dfrac{7}{r}
r
7
start fraction, 7, divided by, r, end fraction is a quotient.
(Choice D)
D
The term 2^32
3
2, cubed has a variable.
Answer:
write the question properly-_-
Answer:
The answer is A&C
Step-by-step explana
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 90 miles per hour. The eastbound train travels at 80 miles per hour. How long will it take for the two trains to be 374 miles apart?
~Giving brainliest!~ (im really desperate right now and very overwhelmed so im asking ANYONE to help me answer this! thank u.
Answer:
15. 420 hours
16. not sure sorry
Step-by-step explanation:
15. there are 168 hours in a week, so 168 * 2 1/2 is 420
16. your gonna have to find the answer from someone else sorry
Evaluate 2( s + t )^3 - 6 when s = 3 and t = 2 The value of the expression is
Answer:
244
Step-by-step explanation:
Find the diameter and the radius of the circle 13yd
Answer:
52
Step-by-step explanation:
This is because the formula is dr
y-6≤=15+8y
pls dont report
Answer:
-4, -10, -2
Step-by-step explanation:
[tex]y-6\leq 15+8y\\-21\leq 7y\\y\geq -3\\[/tex]
so the answer is -4, -10, -2
Answer:
99.9% sure it's -4, -10, -2
Step-by-step explanation:
y−6≤15+8y
−21≤7y
y≥−3
so that be providing that you're gonna get
-4, -10, -2
Graph the following equation y+2=3/5(x+3)
Answer:
Step-by-step explanation:
It is given
2x−3y=5
we can write it as
3y=2x−5
So we get
y=32x−5
Substituting x=4 in the given equation
y=32(4)−5
So we get
Y=38−5
y=33
By division we get
y=1
Substituting x=−2 in the given equation
y=32(−2)−5
So we get
y=3−4−5
y=3−9
By division we get
y=−3
x 4 -2
y 1 -3
Now draw a graph using the points (4,1) and (−2,3)
Join the point through a line and find the value of y
(i) Based on the graph
consider x=4 on X-axis
Now the line joining the two points and a point on the Y-axis gives the value of y
Therefore,when x=4 the value of y=1
(ii) Based on the graph,
Consider y=3 on Y-axis
Now the line joining the two points and a point on the X-axis the value of x
Therefore, when y=3 the value of x=7
Will mark brainlist please help
Answer:
Step-by-step explanation:
Use the following equation.
2C2H6 + 7O2 --> 4CO2 + 6H2O
- How many moles of O2 will be needed to produce 26.14 moles of H2O?
Answer:
1 mole of Oxygen and two moles of Hydrogen
Step-by-step explanation:
The mass of oxygen equal to one mole of oxygen is 15.998 grams and the mass of one mole of hydrogen is 1.008 g.
Determine whether the triangles are similar by AA, SSS, SAS, or not similar
Answer:
Step-by-step explanation:
If Δ JKL ~ Δ JHG , then
[tex]\frac{LJ}{GJ}[/tex] = [tex]\frac{KJ}{HJ}[/tex]
[tex]\frac{95}{68}[/tex] ≠ [tex]\frac{87}{72}[/tex] ⇒ triangles are not similar
find the value of x and give reasoning in the following image
Answer: 80
Step-by-step explanation:
Angle FGB = 80 degrees b/c supplementary angles.
By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.
x is supplementary with this angle and is this 180 - 100 = 80.
5 x 4\9 can you tell me the way to get the answer
Answer:
[tex]\frac{20}{9}[/tex] as an improper fraction or [tex]1\frac{2}{9}[/tex] as a mixed number
Step-by-step explanation:
[tex]5*\frac{4}{9}\\ \\\frac{5}{1}*\frac{4}{9}\\ \\\frac{5*4}{1*9}\\\\\frac{20}{9}\\ \\1\frac{2}{9}[/tex]
Find the inverse of the matrix [7, -3] [-10, 7] if it exists
Answer:
A
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}\frac{7}{19} &\frac{3}{19}\\\frac{10}{19} &\frac{7}{19} \end{array}\right][/tex]
If you open a bank account with a $200 starting balance and it earns 2.5% interest, compounded annually, how much interest will you earn in 10 years?
Answer:
$56.02
Step-by-step explanation:
The account balance after 10 years is given by the future value formula:
FV = P(1 +r)^t . . . . . principal P invested at rate r compounded annually for t years
FV = $200(1 +0.025)^10 ≈ $256.02
The amount in excess of the original investment is the interest earned:
$256.02 -200.00 = $56.02 . . . . interest earned in 10 years
Answer:
$256.02
Step-by-step explanation:
Here is the formula: 200(1.025)^10.
The .025 is the percentage of the interest, and the 1 is the money you already have (which is 200). The ^10 is the 10 years.
If you take the (1.025)^10, you'll get an incredibly large number, 1.2800....
Take that large number and multiply it by the amount of money you originally have, $200. Then you'll get something like 256.0169... Round to the near hundredth, and you'll have 256.02
If a woman making $31,000 a year receives a cost-of-living increase of 2.6%, what will her new salary be?
HELPP 100 points
What is the value of the function y = 3x – 1 when x = 12
0 -8
0-4
O 2
o 6
Answer:
The answer is B -4
Step-by-step explanation:
Answer:
y=
Step-by-step explanation:
y = 3x - 1
y = 3(12) - 1
y = 36 - 1
y = 35