Answer:
a = -3/2 = -1.5
Step-by-step explanation:
(1+ax) (2+3x)³
Formula
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(1 + ax) [ 2^3 + 3*2^2*3x + 3*2*(3x)^2 + (3x)^3]
(1 + ax) [ 8 + 12*3x + 6*9x^2 + 27x^3]
8 + 12*3x + 6*9x^2 + 27x^3 + 8ax + 36ax^2 + 54ax^3 + 27ax^4
coefficient of x^2 is zero
54x^2 + 36ax^2
54 + 36a = 0
36a = -54
a = -3/2
how many sixteenths are there in 1\4
Answer:
There are 4 sixteenths in one-fourth
Step-by-step explanation:
how many sixteenths are there in 1\4?
There are 4 sixteenths in one-fourth
1/4 : 1/16 =
1/4 * 16 =
4
find the inverse of -3y+5x=18
Answer:
-3x +5y = 18
Step-by-step explanation:
The inverse relation is found by swapping x and y.
HELP ASAP I WILL GIVE BRAINLIEST!!
Consider the function F(x)= x³ +½x² −2x +3. Use calc and algebra to find any and all stationary points on the graph of the function.Precalc need help ASAP
Solution:
the above function has more than one root or more than one solution. The derivative of the function represents the slope of the tangent line to the curve
F(x)= x³ +½x² −2x +3, F'(x) = 3(x3-1)+(1/2)(2)(x2-1)-2(x1-1)+0
F'(x)=3x2+x-2 is the slope of the tangent line
setting the slope =0 and solving the quadratic equations, you find all the
critical points of interest
3x2+x-2=0, solve by factoring (3x-2)(x+1)=0, then 3x-2=0, x= 2/3
and x+1=0, x=-1 substituting these values of x in the original equation
you get the corresponding values of F(x) such that;
F(x)= x³ +½x² −2x +3, F(x)=(2/3)3+1/2(2/3)2-2(2/3)+3
= 8/27+4/18-4/3+3 = 8/27+2/9-4/3+3/1 = 59/27 and the first point is
(2/3, 59/27)
F(x)= x³ +½x² −2x +3, F(x)=(-1)3+1/2(-1)2-2(-1)+3
= -1+1/2+2+3 = 9/2 and the 2nd point is ( -1, 9/2)
these two points represents points where the slope of the tangent line to the curve is 0 and could be either maximum or minimum points
You can also find the y intercepts where x = 0 F(x)= x³ +½x² −2x +3, setting x = 0, y= F(x)=3 and the point ( 0,3) is a y intercept setting y = 0, then x intercepts can be found upon solving the equation x³ +½x² −2x +3 =0
Let y=r(x) be continuous and differentiable. Assume r'(x)=0 r′(x)=0 at x=ax=a.
If r'(x)<0 before x=a and r'(x)>0 after x=a
what must be true about r(a)?r(a)?
Choice 1: r(a) is a maximum value
Choice 2: r(a) is a minimum value
Choice 3: cannot determine based on this information
Answer:
am in callege i need points really much
Step-by-step explanation:
I need help with my questions
Answer:
1) (-A+B)=(B-A) is true
Step-by-step explanation:
I am guessing you are looking for which statement is true. The answer is 1, (-A+B)=(B-A), as the others are incorrect.
2) A x 0 = 0, not 1
3) - (-A) = A, not - A
4) A/B will not be the same as B/A unless the values of A and B are 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
5a + 7b - 12a + 6c - 13b - 22a + 53c
Answer:
-29a-6b+59c
Step-by-step explanation:
ABCD is a parallelogram.Find angle CBD.
9514 1404 393
Answer:
81°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent. The sum of the two angles at B is the same as the value marked at D.
∠CBD = 139° -58° = 81°
_____
Additional comment
The angles at A and C are both 41°, the supplement of the one marked 139°.
A truck and carry a load of 5000 pounds assuming that it can be cut to fit how many feet of steel beam in Winx 32.6 pounds can the truck carry
About 153 Winx. Because 5000 divided by 32.6 is 153.374233129.
URGENT I REALLY NEED THIS DONE, IM GIVING OUT 30 POINTS!
Determine if XY is tangent to circle Z.
A.) Yes
B.) No
5) How many turkeys will be eaten on Thanksgiving Day?
First Guess = __________
Average Turkey Weight = 27 pounds
Number of Americans = 328 million
Amount needed per person = 1.5 pounds
Percent of Americans that eat turkey on Thanksgiving = 91%
Mathematical Estimate = __________ (Show your work)
Answer: mathmatical estimate 46 million
Step-by-step explanation:
456million first guess
Is Y=x-3 and x-y=8 parallel perpendicular or neither
2. A scuba diver dove 48 feet in 4 minutes.
What integer represents his change in depth
for each minute?
A. 52 feet per minute
B. 44 feet per minute
C. -12 feet
per
minute
D. -48 feet per minute
Answer:
C. -12 feet per minute
Step-by-step explanation:
This question is really just asking for the slope of this situation. So the best way to find the answer is to find the change in y over the change in x. In this case, y is the depth and x is the time. So, it would be -48/4 because the diver went down 48 feet when 4 minutes passed. Then, simply divide, -48/4, which equals -12 feet/1 minute.
Use approximations to 1 significant figure , check that your answer to part A ) makes sense
5/6 divided by 2 fhdhdgfgghhhhhggggu
Let 0 be an angle in quadrant 3 such that cos0=-5/13.
Find the exact values of csc0 and tan0
Answer:
see explanation
Step-by-step explanation:
Given
cosθ = - [tex]\frac{5}{13}[/tex]
This is a 5- 12- 13 right triangle
with adjacent = 5, opposite = 12 and hypotenuse = 13
In quadrant 3
sinθ < 0 and tanθ > 0 , then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{12}{13}[/tex] and
cscθ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{1}{-\frac{12}{13} }[/tex] = - [tex]\frac{13}{12}[/tex]
then
tanθ = [tex]\frac{sin0}{cos0}[/tex] = [tex]\frac{-\frac{12}{13} }{-\frac{5}{13} }[/tex] = - [tex]\frac{12}{13}[/tex] × - [tex]\frac{13}{5}[/tex] = [tex]\frac{12}{5}[/tex]
7. What is the value of the expression?
3/4 divided by 1/2
Answer:
3/4 / 1/2
3/4 * 2/1
6/4
1 2/4
1 1/2 or 1.5
why is 25/25 larger than 25/38
Answer:
Cause 25/25 is a whole number and 25/38 is not
Step-by-step explanation:
Location of point on number line after 1/10 before 2/10
Answer:
3/20
Step-by-step explanation:
1/10=2/20
2/10=4/20
Answer:
hddhbd b v c c GG ffdrgbmnkhu
Calculaţi c.m.m.d.c. și c.m.m.m.c. al numerelor: 18; 120; 30; 450.
anser is
Step-by-step explanation:
618 is the answer
2 ( -2 ) -8
3 ( -3 ) -18
5 ( -1 ) …
Ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa :(
Answer:
2 ( -2 ) -8 = -12
3 ( -3 ) -18 = -27
Step-by-step explanation:
help please. thank you very much
Answer: Offer B because it will cost less.
Step-by-step explanation: Hope this helps :)
what is 0.08 as a percent.
Answer:
8%
Step-by-step explanation:
u have to multiply the number with 100
0.08 * 100
8%
Translate: 20 more than a number is 55.
Answer:75
Step-by-step explanation:55+20=75
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find tanA, sinA, and cosA.
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Answer:
tan(A) = 7/24sin(A) = 7/25cos(A) = 24/25Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25
Setting 7/3 equal to which ratio would result in a valid proportion? 9/49 18/42 42/18 49/9
Angie has 12 3/4 yards of fabric to make Halloween costumes. Each fabric costume requires 7/8 yards of fabric. How many costumes can Auntie make?
Since Angie has 12 3/4 yards of fabric and all and each costume requires 7/8 yards, you can divide 12 3/4 by 7/8.
12 3/4 ÷ 7/8
= 51/4 ÷ 7/8
= 51/4 • 8/7 (remember that dividing by a fraction is the same thing as multiplying by it’s reciprocal)
= 51/1 • 2/7 (after simplifying)
= 102/7
= 14 4/7
Angie can make 14 costumes. She cannot make the 15th one because she’ll run short of fabric.
2. What is the probability that the third strike comes on the seventh well drilled?
Answer:
about a 5% chance
Step-by-step explanation:
That is, there is about a 5% chance that the third strike comes on the seventh well drilled.
read bot stop answering my question no link no bot fast but wrong
Answer:
Step-by-step explanation:
First Sheet, First Question
1) D
2) D
3) B
4) D
First Sheet, Second Question
a) SQR 16
b) 7/8, sqr -42
c) 3.692, 4 pie, sqr 1/4
The price of a watch was $115 when it was launched last year. When a new version of the watch was released this year, the price of the earlier version of the watch decreased by 15%. Find the price of the earlier version of the watch this year.
Answer:
$97.75
Step-by-step explanation:
115 times 0.85
Subtract.
6 2/3 − 4 4/9
2 4/9
2 2/9
2 6/9
2 10/9
Answer:
2 2/9
Step-by-step explanation:
