9514 1404 393
Answer:
a) x = {-1, 3, 4}
b) (0.472, 13.128)
c) (3.528, -1.128)
d) x < 0.472 U x > 3.528
e) 0.472 < x < 3.528
Step-by-step explanation:
This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.
a) A graph shows the zeros to be x = -1, x = 3, x = 4.
b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).
c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).
d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).
e) The decreasing interval is (0.428, 3.528).
_____
Additional comments
The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.
The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).
I find a graphing calculator can show me the roots and turning points easily.
Write each polynomial in standard form.
Then, give the leading coefficient.
I
7. 12 + 3x2 - X
HELP!
If the radius of the large pizza is 8 inches, what is its area in square inches?
Answer:
about 200 square inches
Will give brainliest for answer
Part 1: Determine the most precise name for each quadrilateral.
Part 2:List all of the quadrilaterals that have the given property (Use parallelogram, rhombus, rectangle and square)
Posted for 4th time.
Answer:
Part 1:
1. Rhombus (4 equal sides)
2. Parallelogram (opposite sides are equal)
3. Rectangle (opposite sides are equal, 4 right angles)
Part 2:
1. Square, rhombus (4 equal side)
2. Rectangle, parallelogram, square, rhombus (opposite sides are equal)
3. Rectangle, square (opposite sides are equal, 4 right angles)
A scale on a blue print drawing of a house shows that 10 centimetres represents 22 meters.
What number of actual meters are represented by 18 centimetres on the blue print?
Answer:
39.6
Step-by-step explanation:
if
10=22
18=x
18x22=396/10= 39.6
Pls answer this question for ill give brainliest
Quadrilateral ABCD is a rectangle. BE=2x+1 and AC=6x−12 . What is BE ?
Answer:
BE=15
Step-by-step explanation:
Since E is the center, BE=2x+1
And AC is 6x-12 with E being a midpoint.
Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that
you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE
6x-12=4x+2
BD=AC
6x-4x-12=2
2x=2+12
2x=14
x=7
BE= 2x+1
2(7)=14+1=15
PLEASE HELP WILL GIVE BRAIN Which could be the function of the following graph?
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2 f(x)=(x+5)3(x+1)2(x−2)2
f(x) = (x + 5)^2(x + 1)(x - 2)^3 f(x)=(x+5)2(x+1)(x−2)3
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5) f(x)=(x+5)3(x+1)2(x−2)2(x−5)
f(x) = (x + 5)(x + 1)^3(x - 2)^2
Answer:
Close options are B and D but no matching functionStep-by-step explanation:
The graphed function has:
Even degree because overall U-shapedThree x-intercepts (-5, -1, 2) There is one y-intercept (-5)The answer options:
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2
Has degree of (3 + 2 + 2) = 7 - incorrectf(x) = (x + 5)^2(x + 1)(x - 2)^3
Has degree of (2 + 1 + 3) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (-200) - incorrectf(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5)
Has degree of (3 + 2 + 2 + 1) = 8 - correctx- intercepts are (-5, -1, 2, 5) - incorrectf(x) = (x + 5)(x + 1)^3(x - 2)^2
Has degree of (1 + 3 + 2) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (24) - incorrectAnswer:
C
Step-by-step explanation:
Which expression is equivalent to 9.7d+4.1+5.1d-9.2
A) 13.8d−4.1
B) 14.8d+13.3
C) 4.6d−5.1
D −5.1+14.8d
Answer:
9.7d+4.1+5.1d-9.2
9.7d +5.1d+4.1-9.2 (take same element near)
d(9.7d +5.1) + 4.1-9.2
d(14.8) - 5.1
answer :
D −5.1+14.8d
Step-by-step explanation:
More than one-sixth of the dogs from the shelter were adopted at the event today. If there are 90 dogs at the shelter, how many dogs were adopted? Let d represent the number of dogs adopted.
Write an inequality to show how many dogs were adopted.
What is the possible amount of dogs adopted?
a) 20
b) 15
c)10
d) 5
Help bestiess
7x=5x÷67
Answer:
7x=5x/67
Step-by-step explanation:
Pls Help Me With This Question! It's 8th Grade Math!
Answer:
y= 4/3x
Step-by-step explanation:
Answer:
y= 4/3x
Step-by-step explanation:
You earn 4$ in bonus bucks for each 50$ you spend. Complete the graph to model this situation.
Answer:
The domain or x-values are on the horizontal axis, this is what you spend.
The range or y-values are on the vertical axis, this is your bonus.
The points to be indicated:
(0, 0), (50, 4), (100, 8), (150, 12), (200, 16), (250, 20)Plot the points and connect to make a line.
The graph is attached
plEASE HELP ME plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
24 people were in the sample !
I need help ASAP !!!!!!!!!!
Answer:
the first one
Step-by-step explanation:
-.8x + 4.8y + 16
hope this helps
Find the sum. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar.
3+2
6+6
Answer:
5/12
Step-by-step explanation:
add: 3+2=5, 6+6=12. put 5 on the top 12 on the bottom
find the volume of the cylinder
Answer:
hope help you stay happy and safe
i give brainly to answer
Answer:
x = 50º
Step-by-step explanation:
All angles in a triangle have to add up to 180º
Using the information below, write a variable expression for the following:
Brian is x years old.
Brandon is twice as old as Brian.
Billy is 2 years older than Brandon.
Answer:
Step-by-step explanation:
b₁ = x
b₂ = 2b₁
b₃ = b₂+2
please help!! whoever gets right i’ll mark brainlist
Answer:
It's B
Step-by-step explanation:
Because 10 less than 20 mean 20 is not greater so B. ) is correct
Find the area of the shaded region. Round your answer to the nearest tenth if needed.
Solve and graph y−5<7
Answer:
y < 12
Step-by-step explanation:
Add 5 on both sides since the opposite of subtraction is addition. Then cross it out where you will be left with y and 7 + 5 equals 12 so the answer is: y < 12
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of
10 centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
F 603.19 cm?
G 245.04 cm?
H 376.99 cm?
188.50 cm?
Answer:
I don't know the answer please
3x 2+ 4x - 20
using grouping or an area model.
Answer:
Is the 3x a power of 2, once I get that info I'll edit my answer
Step-by-step explanation:
i need to factor 5n^2-16
Answer:
([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
Step-by-step explanation:
Using the factorising method, difference of 2 squares
a² - b² = (a - b)(a + b) , then
5n² - 16
= ([tex]\sqrt{5}[/tex] n )² - 4²
= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
Complete the table for the given rule.
Step-by-step explanation:
0.75
3.75
9.75
please mark me brainliest
Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest
Answer:
smallest -3,-2,2,9 biggest
Answer:
-3, -2, 2, 9
Step-by-step explanation:
-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9
Apply the distributive property to factor out the greatest common factor. 35+14=35+14=35, plus, 14, equals
Answer:
The greatest common factor is 7
[tex]35 + 14 = 49[/tex]
Step-by-step explanation:
Given
[tex]35 + 14 =[/tex]
Required
Apply distributive property
Express 35 as 7 * 5 and 14 as 7 * 2
[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]
Apply distributive property
[tex]35 + 14 = 7 ( 5 + 2)[/tex]
The greatest common factor is 7
Solving further to get the solution
[tex]35 + 14 = 7 * 7[/tex]
[tex]35 + 14 = 49[/tex]
Answer:
7(5+2)
hope this helps <3
I need help on this plz thx
Answer:q=3
Step-by-step explanation:
14 multiplied by 3 equals 42
Answer: q = 3
Step-by-step explanation:
14q/14 = 1q
42/14 = 3
1q = 3
q = 3
Carol has a collection of 100 stamps the graph below shows the percentage of stamps she has from each country. How many more of Carol's stamps are from Norway than from France?
Yo 10 or 22 points I rlly need help pls pls pls help :(
Answer:
Step-by-step explanation:
Solve for x, 3x < -17 - 4 so 3x < -21 so x < -7
Since the x you are looking for is less than -7, draw an open circle on -7 (don't color it in, leave it like a donut) then darken the number line to the left of -7 and draw an arrow at the end
Find the area of the shape. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. (ANSWER ASAP PLEASEE)