Answer:
-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.
Step-by-step explanation:
When you distribute -3 with 2x+3 you multiply both values by -3.
-3*2x = -6x
-3*3 = -9 <- This is where the error is. It's -9, not +9.
What is the upper bound of the function f(x)=4x4−2x3+x−5?
Answer:
(no global maxima found)
Step-by-step explanation:
Find and classify the global extrema of the following function:
f(x) = 4 x^4 - 2 x^3 + x - 5
Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.
Find the critical points of f(x):
Compute the critical points of 4 x^4 - 2 x^3 + x - 5
Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.
To find all critical points, first compute f'(x):
d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:
f'(x) = 16 x^3 - 6 x^2 + 1
Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.
Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:
x = -0.303504
Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.
f'(x) exists everywhere:
16 x^3 - 6 x^2 + 1 exists everywhere
Hint: | Collect results.
The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:
x = -0.303504
Hint: | Determine the endpoints of the domain of f(x).
The domain of 4 x^4 - 2 x^3 + x - 5 is R:
The endpoints of R are x = -∞ and ∞
Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.
Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:
The open endpoints of the domain are marked in gray
x | f(x)
-∞ | ∞
-0.303504 | -5.21365
∞ | ∞
Hint: | Determine the largest and smallest values that f achieves at these points.
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:
The open endpoints of the domain are marked in gray
x | f(x) | extrema type
-∞ | ∞ | global max
-0.303504 | -5.21365 | global min
∞ | ∞ | global max
Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.
Remove the points x = -∞ and ∞ from the table
These cannot be global extrema, as the value of f(x) here is never achieved:
x | f(x) | extrema type
-0.303504 | -5.21365 | global min
Hint: | Summarize the results.
f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:
Answer: f(x) has a global minimum at x = -0.303504
A 4-cup bottle of shampoo costs $18.36. What is the price per pint?
Answer:
$9.18
Step-by-step explanation:
4 cups = 2 pints. 18.36/2 = 9.18
In the quadratic formula,
−b±√b^2−4αc/2a, What is
6^2-4ac called? (1 point)
A.Numerator
B.Solution
C.Discriminant
D.Radical
Answer:
C
Step-by-step explanation:
Discriminant : tell us whether there are two solution,one solution, or no solution for the quadratic equation
If 5y + 2 = 8/3, what is the value of 5y - 6?
look at image. reflection across the x-axis
Answer:
H stays G -2,-4 F -5,-3 are the new points
Step-by-step explanation:
A car travels 420 miles in 6 hours. What is the unit rate?
Answer:
70
Step-by-step explanation:
because 70 times 6 equals 420
Given that f(x) = 3x + 1 and g(x) = the quantity of 4x plus 2 divided by 3 , solve for g(f(0)). (5 points) 2 6 8 9
[tex]f(0)=3(0)+1[/tex]
[tex]f(0)=1[/tex]
[tex]g(1)=\frac{4(1)+2}{3}[/tex]
[tex]g(1)=\frac{4+2}{3}[/tex]
[tex]g(1)=\frac{6}{3}[/tex]
[tex]g(1)=2[/tex]
Hope this helps.
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What is the solution to this equation? 6x+4=4x−2 Enter your answer in the box.
Answer:
-3
Step-by-step explanation:
6x take 4x equals 2x
So it'll be 2x+4=-2
Then you do - 2 take 4 which is - 6
So then it is 2x=-6
-6÷2=-3
Hope this helps you :)
Answer:
x=-3
Step-by-step explanation:
6x+4=4x-2
Subract the x on the right side on both sides
Equation should now be:
2x+4=-2
Now subtract the 4 from both sides
The equation is now:
2x=-6
Now all you have to do is divide the x on both sides
Your answer is now x=-3
The 100 residents are asked if they like to watch basketball and or football. The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both. How many like to watch football?
Answer:
12 people like to watch football
Step-by-step explanation:
The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both.
Total number of residents = 100
Basketball (B) = 98
Football(F) = 12
Number of residents that like basketball and football = ( B ∩ F)
2 dislike both
n ( B ∪ F) - People that dislike it = n(B) + n ( F ) - n ( B ∩ F)
100 - 2 = 98 + 12 - n ( B ∩ F)
98 = 110 - n ( B ∩ F)
n ( B ∩ F) = 110 - 98
= 12
Therefore, 12 people like both Football and Basketball
How many like to watch football?
From the above question, we can see that the total number of people that like to watch football = 12 people
Represent the following expression using an exponent. 11 × 11 × 11 × 11 A.4 11 B.11 4 C.11 11 D.1 4 Btw these are exponents
Answer:
B. 11 4 (11 with the exponent of 4) because 11 was multiplied 4 times.
Step-by-step explanation:
Which equation shows the inverse property of multiplication? 4 + (-4) = 0 -8 + (-3) = -3 + (-8) 2 times one-half = 1 Eight-fifths + 0 = Eight-fifths
Answer:
2 times one-half = 1
Step-by-step explanation:
In order to show a property of multiplication, the equation must involve multiplication. There is only one choice that does.
2 times one-half = 1
__
The multiplicative inverse of a number, multiplied by the number, results in 1, the multiplicative identity element.
Equation C,2 times one-half = 1 shows the inverse property of multiplication. Option C is correct.
What is multiplicative inverse?A multiplicative inverse is a number whose value is equal to 1 when multiplied by the original number.
The left-hand side of the equation is;
LHS = 2 times one-half
LHS = 2×(1/2)
LHS = 2
The right-hand side of the equation is;
RHS =1
If both LHS and RHS are equal and the RHS value is equal to 1 the RHS is the multiplicative inverse of LHS.
Equation C,2 times one-half = 1 shows the inverse property of multiplication.
Hence, option C is correct.
To learn more about the multiplicative inverse, refer to https://brainly.com/question/13715269.
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1) x² 2(x+y) - y^2
2) x^4+ x^2y^2+ y^4
Answer: 1) Let's simplify step-by-step.
x22(x+y)−y2
Distribute:
=(x22)(x)+(x22)(y)+−y2
=x23+x22y+−y2
Answer:
=x23+x22y−y2
2)Let's simplify step-by-step.
x4+x2y2+y4
There are no like terms.
Answer:
=x4+x2y2+y4
What term describes the monomial 14xyz?
A. constant
B. linear
C. quadratic
D. cubic
Answer:
c
Step-by-step explanation:
just because sorry, I'm new but please don't rate this bad but I do know the awnser
Factor 20x2 + 35x plz help
Answer:
Step-by-step explanation:
5x(4x + 7)
What are the next three numbers in the sequence? 80, 90, 85, 95, 90, 100, 95, 105, _____, _____, _____
Answer:
100, 110, 105
Step-by-step explanation:
Answer:
100,105,110
Step-by-step explanation:
3. What is the volume of the triangular
prism?
Answer:
C. 51,84
Step-by-step explanation:
the volume of the triangular prism is 1/2*3.2*5.4*6
Answer:
C
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end, l is the length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base, h the perpendicular height )
Here b = 5.4 and h = 3.2 , thus
A = 0.5 × 5.4 × 3.2 = 8.64 cm² , then
V = 8.64 × 6 = 51.84 cm³ → C
I’m really confused on how to do this
Answer:
Substitute x with six in the equation and solve as normal.
Step-by-step explanation:
The format here is a bit weird, but it basically means x is six.
A whale swims down 300 feet to feed what is the whales elevation now?
Answer:
-300
Step-by-step explanation:
if the whale is at the serface 0 and it goes 300ft down its -300
Jasmin, Quinn, and Maddy are rock climbing. Jasmin is 42 ½ feet below Quinn. Maddy is 67 ¾ feet above Jasmin. What is Maddy's position compared to Quinn?
Answer:
[tex]25\frac{1}{4}[/tex] feet
Step-by-step explanation:
Given
[tex]Maddy = 67\frac{3}{4}[/tex] above Jasmin
[tex]Jasmin = 42\frac{1}{2}[/tex] below Quinn
Required
Determine Maddy's position relative to Quinn's
From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)
Using the attachment as a point of reference;
[tex]z = 67\frac{3}{4}[/tex]
[tex]x = 42\frac{1}{2}[/tex]
The relationship between x, y and z is
[tex]z = y + x[/tex]
Make y the subject of formula
[tex]y = z - x[/tex]
Substitute the values of z and x
[tex]y = 67\frac{3}{4} - 42\frac{1}{2}[/tex]
Convert to improper fractions
[tex]y = \frac{271}{4} - \frac{85}{2}[/tex]
Take LCM
[tex]y = \frac{271 - 170}{4}[/tex]
[tex]y = \frac{101}{4}[/tex]
[tex]y = 25\frac{1}{4}[/tex]
Hence; Maddy's position relative to Quinn's is [tex]25\frac{1}{4}[/tex] feet
A commercial jetliner hits an air pocket and drops 264 feet. After climbing 151 feet, it drops another 103 feet. What is its overall vertical change?
Answer:
If we take the drops as negatives, and the climbs as positives (the answer will be the absolute value of these) we get:
-221 +174 -156.
When you add these together, you get -203. So the overall vertical change is the absolute value of this, or 203 ft.
After school activities activity number student Spanish club 19 baseball 24 drama 15 homework help 17 soccer 20 which ratio compares the numbers of students to Spanish clubs in the the total number of students
Answer:
19:95
Step-by-step explanation:
Spanish club have 19 students
Baseball have 24 students
Drama have 15 students
Home work help have 17 students
Soccer have 20 students
The first step is to calculate the total number of students
= 19 + 24 + 15 + 17 + 20
= 95 students
Since the Spanish club have 19 students and the total number of students is 95 then, the ratio which compares the number of students in Spanish club to the total number of students is 19:95
Answer: 19:95, 19 to 95, or 19/95. They all equal the same so it depends which one is your option. ORDER OF RATIO MATTERS!!
Explanation: The students in the Spanish club are 19 and to find the total number of students, you add 19 + 24 + 15 + 17 + 20 which equals 95. Then you put 19 first then 95. This is because it asked to compare the number of students in the Spanish clubs (so this is first) to the the total number of students (so this is second).
The earth experiences 50.000 earthquakes per year. Assuming it is a year with 365 days,find the number of earthquakes per hour
Answer:
0.00570776255
Step-by-step explanation:
there are 8760 hours in a year
divide 50 by 8760
0.00570776255
The number of earth quakes per hour is 5.7077.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
In one year = 50,000 occurs
In one year = 365 days
In 1 day = 24 hour
In 365 days= 8760 hours
So, number of earthquakes occurred in one hour
=50000/8760
=5.7077
Learn more about unitary method here:
https://brainly.com/question/22056199
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what is 2/4 as a % plz hurry important
Answer: 50%
To convert fractions into a percentage you Divide the Numerator and Denominator.
2÷4=0.5
Since the result came out as a decimal we convert it to a percentage.
As you can see 5 is in the tenth place so that means 0.5 as a percent is 50%
2.
[tex] \sqrt{9} [/tex]
find each square root
Answer:
√3x3
The answer is 3......
When a car's brakes are applied, it travels 7 feet less in each second than the previous second until it comes to a complete stop. A car goes 28 feet in the first second after the brakes are applied. How many feet does the car travel from the time the brakes are applied to the time the car stops?
Answer:
70feet
Step-by-step explanation:
during the
1st sec it travels 28 ft
2nd sec =28-7=21ft
3rd sec= 21-7=14ft
4th sec= 14-7= 7ft
last sec=7-7=0ft, at this point the car stops.
so altogether it travels 28+21+14+7+0= 70 feet
PLEASE HELP TIMED SO PLEASE HURRY
Answer:
U got this
Step-by-step explanation:
THIS IS CHEATING
the side length of a square measures 2 x+1 and the side lengths of a triangle are 2x, 2x, and 3x+10.The square and triangle have the same perimeter. Find the perimeter
Answer:
perimeter = 52
Step-by-step explanation:
side of square = 2x + 1
so first lets find the perimeter of squarep = 4 × s (side)
p = 4(2x +1)............. from the given
p = 8x + 4...... we will come back for this equation
side of trianles = 2x,2x,3x + 10
second lets find the perimeter of trianglep = s + s + s ( all the three sides)
p = 2x + 2x + 3x + 10
p = 7x + 10........we got another equation we will use it later
The question says the perimeter of square and the perimeter of triangle are equal so8x + 4(the perimeter of square we solved before) = 7x + 10(the perimeter of triangle we solved before)8x + 4 = 7x + 10
8x - 7x = 10 - 4
x = 6 ... now lets substitute x
8x + 4
8 × 6 +4
48 + 4
52
the same thing will happen if we substitute for the perimeter of triangle too.
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What is the measure of each angle?
HELP What is the sum of 1000x and 2000x
Answer:
[tex]\huge\boxed{\sf 3000x}[/tex]
Step-by-step explanation:
Sum is Addition
[tex]\sf 1000x + 2000 x \\\\x ( 1000 + 2000) \\\\x ( 3000) \\\\3000 x[/tex]
Steps to solve:
1000x + 2000x
~Combine like terms
3000x
Best of Luck!
A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the rotation
Answer: 86.6ft closer to the ground.
Step-by-step explanation:
The diameter of the wheel is 200ft
Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.
Initially, the seat is at the same level that the center of the wheel.
And the distance between the center of the wheel and the bottom is the radius.
Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=
Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)
And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:
y = sin(-60°)*R
y = sin(-60°)*100ft = -86.6ft
So the seat is 86.6ft closer to the ground.
The seat is [tex]86.6feet[/tex] closer to the ground
The seat will be closer by the height it drops when the Ferris wheel turns downwards by [tex]60^{\circ}[/tex].
The height, and the radius of the Ferris wheel form the opposite and the hypotenuse of a [tex]60^{\circ}[/tex] right-angled triangle. Since the diameter of the Ferris wheel is 200feet, the radius will be 100feet. So we have
[tex]sin60^{\circ}=\frac{opp}{hyp}=\frac{h}{100}\\\\h=100\times sin60^{\circ}\\=100\times 0.8660\\=86.6[/tex]
So the seat is [tex]86.6feet[/tex] closer to the ground
Learn more here: https://brainly.com/question/95152