Answers
Step-by-step explanation:
check it.. i have solved this for you
Answer:
18
Step-by-step explanation:
Using the product rule
Given
y = f(x). g(x) , then
[tex]\frac{dy}{dx}[/tex] = f(x). g'(x) + g(x). f'(x)
Here
f(x) = [tex](2x+3)^{5}[/tex] ⇒ f'(x) = 5[tex](2x+3)^{4}[/tex] × [tex]\frac{d}{dx}[/tex] (2x + 3) , then
f'(x) = 10[tex](2x+3)^{4}[/tex]
g(x) = [tex](x+2)^{8}[/tex] ⇒ g'(x) = 8[tex](x+2)^{7}[/tex] × [tex]\frac{d}{dx}[/tex] (x + 2) , then
g'(x) = 8[tex](x+2)^{7}[/tex]
Thus
[tex]\frac{dy}{dx}[/tex] = [tex](2x+3)^{5}[/tex] . 8[tex](x+2)^{7}[/tex] + [tex](x+2)^{8}[/tex] . 10[tex](2x+3)^{4}[/tex] ← factor expression
= [tex](2x+3)^{4}[/tex] [tex](x+2)^{7}[/tex] [ 8(2x + 3) + 10(x + 2)
= [tex](2x+3)^{4}[/tex] [tex](x+2)^{7}[/tex] (16x + 24 + 10x + 20)
= [tex](2x+3)^{4}[/tex] [tex](x+2)^{7}[/tex] (26x + 44)
Thus
[tex]\frac{dy}{dx}[/tex] ( x = - 1)
= [tex]1^{4}[/tex] × [tex]1^{7}[/tex] × 18
= 1 × 1 × 18
= 18
Related Questions
i need help knowing if this is true or false
Answers
Answer:
True
Step-by-step explanation:
2 sides that are the same and one isn't.
Answer: True
Step-by-step explanation:
hope this helps pls mark brainliest
Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.
Answers
Answer:
x=-3,x1/2
Step-by-step explanation:
f(x)=(2x-1)(x+3)
TI find x intercept/zero substitute
f(x)=0
0=(2x-1)x(x+3)
swap the sides of the equation
(2x-1)x(x+3)=0
when the product of factors equals 0,at least one factor is zero
2x-1=0
x+3=0
solve the equation for x
x=1/2
x+3=0
solve the equation of x
x=-3
The equation has two solution
x=-3
x=1/2
PLEASE HELP ME!!!!!!
2j<8, if j=8
Answers
Answer:
[tex]\\ \boxed{ \huge \boxed{\tt{} False}}[/tex]
the statement is always false because
[tex]\tt{2j=64\:and\:j=8}[/tex]
⊱┈──────────────────────┈⊰
[tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex]
HELP NOW PLEASE. Solve the system of linear equations by using substitution:
x = 2
y = -x + 3
Answers
Answer:
y=1
Step-by-step explanation:
Since we know that [tex]x=2[/tex], we just need to subsititute into the x value. So that will be:
[tex]y=-(2)+3\\y=-2+3\\y=1[/tex]
Hope this helps and answers your question! Have a great day/night!
Can you please mark this as brainliest because I need to level up to expert
2.5( 2 + 2) x (2^2 + 2^2)
plz help me i am in six grade
Answers
Answer:
~Re-write the equation~
2.5(2+2)x(2^2+2^2)
~Solve the first part~
2.5(2+2)
2.5x2=5
2.5x2=5
5+5
=10
~Solve the second part of the equation~
(2^2+2^2)
2^2=4
2^2=4
4+4=8
10+8=18
Answer: 18
Step-by-step explanation:
Hope that helped :)
Answer:
80
Step-by-step explanation:
2.5(2+2) x (2x2+2x2)
2.5 (4) x (4+4)
2.5x4x8
4x8= 32
32x2.5=80
EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.
Answers
Answer:
no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12
Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.
Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.
cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area
Answers
Please help me need it desperately
Answers
Answer:
Slope = -1/4
Step-by-step explanation:
y= (-1/4x) + 3
The graph is negative so the slope will be negative. if you go down one and over to the right 4 using (rise/run) you will get (1/4) but because the graph is negative the slope will be (-1/4)
If you help, you get cookie
Answers
Answer:
97°
It would be 97° because anything higher than 90 is obtuse and it couldnt be 180 because 180 would be a straight angle
hope this helps
What is x-35>15? plz help
Answers
Answer: x > 50
Step-by-step explanation:
Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Susan says multiply by three. Ted says to add 4 to both sides. Nicole says subtract 4 from both sides. Brooke says to subtract 16 from both sides. Who is correct?
Answers
Answer:
Nicole is correct
Step-by-step explanation:
They need to get the 3y on one side of the equal sign and the known numbers on the other side. To do this, they must subtract the 4 from both sides.
ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?
Answers
Answer:
1. 200
2. 78
3. 50%
4. 20%
5. 14.52
6. 72
7. 30
8. 27
9. 50%
10. 20%
I hope this helps:D
Which list orders –3.216, 5.34, –3.62, –1.8, and 5.4 from greatest to least?
5.4, 5.34, –1.8, –3.216, –3.62
–3.62, –3.216, –1.8, 5.34, 5.8
–1.8, –3.216, –3.62, 5.34, 5.4
5.34, 5.4, –1.8, –3.62, –3.216
Answers
Answer:
A
Step-by-step explanation:
Ur welcome
Evaluate : 2X+ 9 when x = -5
А
-10
00
10
C
-1
D
2
E
1
Answers
2x + 9
=2(-5) + 9
= -10 +9
= -1
Answer:
That would be C. -1
In a chess club, 75% of the members are boys. Of these boys, 8% have hazel eyes. If 6 boys have hazel eyes, how many people are in the chess club
Answers
Answer:
100
Step-by-step explanation:
let 'n' = # chess club members
6 = 3/4 · 8/100 · n
6 = 3/50n
3n = 300
n = 100
A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?
Answers
Answer:
Step-by-step explanation:
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A candy store makes strawberry cream chocolates every 8 days and white chocolate truffles every 12 days. The candy store made both kinds of chocolates today. How many days from now will the candy store make both types of chocolates on the same day?
Answers
Answer:
on the 24th day they both will make chocolate the LCM of 8 and 12 is 24
Answer:
24 days
Step-by-step explanation:
You need to find the least common factor of 8 and 12
8x1=8 12x1 =12
8x2=16 12x2 =24
8x3=24
The candy store made both kinds of chocolates today
From now, every 24 days the candy store will make both types of chocolates on the same day
point G is rotated 90°. the coordinate of the pre-image G was (7,-5), and it’s image G’ is at the coordinate (5,7). What is the direction of the rotation
Answers
Answer:
The Direction of the rotation is counterclockwise around the origin.
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.
Step-by-step explanation:
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answers
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
I need help finding the area to the trapezoid for geometry class :)
Answers
Answer:
313.5 feet cubed
Step-by-step explanation:
A = a+b /2 (h)
14+24/2(16.5)
38/2 (16.5)
= 313.5
Find AE.
1.) B is the midpoint of AC, D is the midpoint of CE, and BD=7. Find AE
A) 7
B) 14
C) 49
D)21
Answers
Answer: B) 14
Step-by-step explanation:
AE = 2BD
AE = 2(7)
AE = 14
Hope this helps!
2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table above.
1. Find his earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by % = $
5. Added Lines 2 and 4 = $
Answers
Answer:
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
Step-by-step explanation:
NEED HELP ASAP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWERS ONLY!!!!!!
Convert the equation 4x - y = -3 into slope-intercept form
Answers
Answer:
y= mx + b
y = 4x +3
Step-by-step explanation:
0) Craig buys a ring for $500. He sells it for $750.
Write the selling price as a fraction of the cost
price in its simplest form.
Answers
Answer:
The selling price is 3/2 of the original price
Step-by-step explanation:
3/2
Step-by-step explanation:
buying price=$500 and he sells for $750 so you say 750/500 then you simplify then you'll get the answer
A group of 2 adults and 4 children pay $95 for admission to a water park. A
different
group
of 3 adults and 7 children pay $155 for admission to the same
water park. write a system of equation that could represent this situation
Answers
Answer:
2a + 4c = 95
3a +7c =155
Step-by-step explanation:
2a + 4c = 95
3a +7c =155
I’ll give the Brainliest to who answers this question with a reasonable explanation.
The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?
A) y = 2x + 1
B) y = 3x + 1
C) y = 2x
D) y = 3x
Thank you.
Answers
Answer:
D y=2x
Step-by-step explanation:
Using slope formula change in y over change in x
[tex] \frac{2}{1} [/tex]
the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D
HELP PLEASE!!
What is M BCD
Answers
Answer:
m(BCD)=180°-m(BCA). In the triangle ABC m(BCA)=m(ABC)=(180-52)/2=64°. Finally, m(BCD)=180-64=116°
Step-by-step explanation:
Which ordered pair is the solution to the system
equations?
5 -5x – 3y = 12
1 = 0
y = X – 12
Which ordered pair is the solution to the system of equations?
Answers
Answer:
2 ordered pairs are solutions:
(1, -11) and (3, -9)
Step-by-step explanation:
The pairs (1, -11) and (3,-9) are the solution to the system of equations.
What are the roots of an equation?Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
If any coordinate or point is satisfy an equation then it will be solution of that equation.
Taking y = x - 12
If we keep all points one by one then we get to know that,
Point (1,11) and (3,-9) are satisfying;
(1, -11) ⇒ -11 = 1 - 12 = -11
(3,-9) ⇒ -9 = 3 - 12 = -9
Hence "The pairs (1, -11) and (3,-9) are the solution to the system of equations".
To learn more about the roots of an equation,
https://brainly.com/question/12029673
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Del Taco sells 4 Tacos for $5.00. Taco Bell sells 5 tacos for $7.50. is a better deal, because it costs less per taco.
Answers
Answer:
Tacos costs 12.50
Step-by-step explanation:
Answer:
The taco will cost aproxapilly 12.51 or 12.50
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answers
B=8+8=16
H=8
16*8=128in