Answer:
Step-by-step explanation:
you can find where the first derivative is 0 to find the critical points
g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x
g'(x) =0, make y =0 to find find where g'(x) is 0
4x³-10x =0 , factor 2x
2x(2x²-5)= 0 , each factor must be 0
2x= 0, so x= 0
2x²-5 =0, so x = ±√5/2
we now have 3 critical points -√5/2, 0, and √5/2
make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)
pick a point to test on each interval: -2, -1, 1 and 2 for example, and
calculate g'(x) = 4x³-10x at those points
for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease
for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase
for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease
for x= 2 we have 4(2)³-10(2) = 12, positive number, increase
we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum
we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so
x= √5/2 ≈ 1.58 is a minimum as well
Triangle ABC is similar to triangle EFD. What scale factor is required to dilate triangle ABC so that it's image, A'B'C' , is congruent to triangle EFD
Could really use some help! i meed it bad
Answer:
b= 10
Step-by-step explanation:
h=2b, (bh/2)=100, bh=100, b^2=100, b=10
Tracey paid $374.25 for a new iPad. What was the original cost if the iPad was on sale for 25% off
Answer:
$467.8125
Step-by-step explanation:
Percentage increase = 25% × 374.25
New value = 374.25 + Percentage increase
New value =
374.25 + Percentage increase =
374.25 + (25% × 374.25) =
374.25 + 25% × 374.25 =
(1 + 25%) × 374.25 =
(100% + 25%) × 374.25 =
125% × 374.25 =
125 ÷ 100 × 374.25 =
125 × 374.25 ÷ 100 =
46,781.25 ÷ 100 =
467.8125 ≈
467.81
Please help! (slopes and grafts) (multiple choice)
Answer:
slope = 2
Step-by-step explanation:
PLEASE PROVIDE ANSWER AS SOON AS POSSIBLE
What is the quotient?
t+3/t+4
Answer:
[tex] \frac{t + 3}{t + 4} = 1 - \frac{1}{t + 4} [/tex]
HELPP WILL GIVE BRAINLEST !!!!!!!!
Answer:
8.06
Step-by-step explanation:
f(x) = 3x² + 7x; g(x) = 6x +3; f(x) - g(x) =
Answer:
[tex] = 3x {}^{2} + x - 3[/tex]
The members of a golf team contributed a total of $14.30 for a party to be held after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.
Answer:
each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts
PLEASE HELPPPPPPPPPPPPPPPPPPPp
Answer:
I think its 30 meters. The bottom rectangle is 21 Meters and the top square is 9 Meters
Find (from (3)
f(x) = x^2 - x
Answer:
I think the answer is 6.......
Evaluate the expression when x = 4.
6(x + 8)
Answer:
6x+48
Step-by-step explanation:
6(x+8)
=(6)(x+8)
=(6)(x)+(6)(8)
=6x+48
Answer:
72
Step-by-step explanation:
6(4+8)
6(12)
the answer is 72
Emma says the length of her favorite movie is 120120120 minutes, but she has rounded the time to the nearest ten.
Which could be the number of minutes of Emma's favorite movie before she rounded it?
Answer:
17
Step-by-step explanation:
write an equation for a line passing through (-4, 3) and (0, 6)
Answer:
y = 3/4x + 6
Step-by-step explanation:
6-3 3
------- = ------
0--4 4
y = mx + b
take coordinates for y and x out of (-4, 3) or (0,6)
6= 3/4 * 0 + b
6 = 0 + b
b = 6
Which expression is equivalent to
Answer:
[tex] x {4}[/tex]
Step-by-step explanation:
easy math
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2
⊹˚ʚ ❑Answer︰The slope is 3!
⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Answer:
y = 3x - 2.
Step-by-step explanation:
The slope of the line (m) = (10-4)/(4-2)
= 3.
y - y1 = m(x - x1)
y - 10 = 3(x - 4)
y = 3x - 12 + 10
y = 3x - 2.
Someone help me please!
Answer:
y < -3x + 2
Step-by-step explanation:
The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.
Therefore, the inequality is y < -3x + 2.
The wheely fast co. Makes custom skateboards for professional riders. They model their profit with the relation P=-2b^2 + 14b - 20, where b is the number of skateboards they produce(in thousands) and P is the company's profit in hundred thousands of dollars. When does wheely fast break even?
Answer:
The answer is below
Step-by-step explanation:
Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.
Given the profit function:
P=-2b² + 14b - 20
At breakeven P = 0, hence:
0 = -2b² + 14b - 20
-2b² + 14b - 20 = 0
-2b² + 10b + 4b - 20 = 0
-2b (b - 5) + 4(b - 5) = 0
(b - 5)(-2b + 4) = 0
b - 5 = 0; or -2b + 4 = 0
b = 5; or b = 2
Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000
f (x) =x^2-6x+4 how do i find the vertex ?
Answer:
(3, -5)
Step-by-step explanation:
So, there are three steps in finding the vertex.
We need to first find a, b and c. a is the x^2 coefficent, b is the x cofficent, and c is the number value. In this case:
a=1, b=-6, and c=4
To find the x value of the vertex, plug in a and b into the formula:
-b/2a = x coord of vertex:
-*-6/2*1
=
6/2
=
3
So the x coordinates of the vertex is 3.
To find the y cooridnates, plug in 3 into the orginal equation:
[tex](3^2)-(6*3)+4[/tex]
=
[tex]9-18+4[/tex]
=
[tex]-5[/tex]
So -5 is the y coordinates of the vertex.
Answer:
(3, -5)
Hope this helps!
Going over steps:
Step 1 - Find values a b and c: a=x^2 coefficent. b=x coefficent. c=number
Step 2 - Plug in a and b into -b/2a
Step 3 - Plug in x into equation
PLS HELP! 20 POINTS!
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
The answer would be D
Step-by-step explanation:
Got it right on Edge 2021
5x+7=4 What is the first step in solving this equation
Answer:
The first step would be subtract 7 from both sides.
If correct, mark me brainliest!
[tex]Hope this helps[/tex]
Answer:
Your first step would be to subtract 7 from both sides of the equation
Step-by-step explanation:
5x+7=4
5x=-3
Who answered the most questions correctly
Can someone help me with this? Will Mark brainliest.
The answer should be diameter.
Answer:
diameter
Step-by-step explanation:
Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89. How much money does Benjamin have now? The equation that correctly models the problem is To undo what has been done to the variable on both sides of the equation. The solution of the equation is
✔ b + 0.75 = 1.89
✔ subtract 0.75
✔ b = $1.14
the person above me doesn't make since so here the answers
Benjamin presently have $1.14.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89.
let Benjamin have the amount $b.
So, the Expression to represent the situation is:
b + 0.75 = 1.89
Now, subtract 0.75 from both side
b + 0.75 - 0.75 = 1.89 - 0.75
b = 1.14
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
please help asap!!!! will mark brainliest
Answer:
A 9x--12 i hope this helps
Answer:
a. 9x-12
Step-by-step explanation:
Perimeter means total length of sides.
So, add (2x-7)+(5x-3)+(2x-2)
9x-12
If 5x – 3y = 1 and
x - 2y = - 4, then xy = ? .
A 5
B 4
© 6
D 8
E 9
Answer:
[tex]6[/tex]
The answer is C:6
System of equations, please help.
Answer:
3.75*A + 2.50*D = 35
A + D = 12
A = 12 - D
3.75*(12-D) +2.5*D= 35
45 - 3.75D + 2.5D = 35
45 - 1.25D = 35 |-35
10 - 1.25D = 0 |+1.25D
10 = 1.25D | /1.25
8 = D
A+D=12
A+8=12 |-8
A=4
If you like it, brainliest would be cool
help me please really need it
Answer:
it's just a sussy baka and it cannot be that bad im feeling like imposter i might just be a monster
Step-by-step explanation:
Amongus in real life
sus caught in 4k camera
find the missing number in the factor tree
for 20 points
i hope you will help
Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5