Answers
9514 1404 393
Answer:
f(x) = 3x³ +6x² -3x -6
Step-by-step explanation:
Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...
f(x) = a(x -(-2))(x -(-1))(x -1)
The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...
f(0) = -6 = a(2)(1)(-1)
-6 = -2a
a = 3 . . . . . divide by -2
So, the function in factored form is ...
f(x) = 3(x +2)(x +1)(x -1)
Expanded, this is ...
f(x) = 3x³ +6x² -3x -6
Related Questions
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
Answers
Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
if i helped 255 people and i only answered 38 questions whats my average number of people that i help per question?
Answers
Answer:
About 7 users per question
Step-by-step explanation:
Just divide the number of users helped by the number of questions answered.
Which has more volume: an eight-inch cube or a cone with a diameter of eight inches and a height of eight inches? Please explain.
Answers
Answer: Cube has more volume
Step-by-step explanation:
Volume of a cube = length³
= 8³ inch
= 512 inch³
Volume of cone = 1/3πr²h
= 1/3 × 3.14 × 4² × 8
= 133.97 inch³
Therefore, the cube has more volune
Cant figure it out, Help?
Answers
d=14 we are looking for the radius divided it to half so it should be 7
the height is 10
A=2πrh+2πr2=2·π·7·10+2·π·72≈747.69905
Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)
Answers
Answer:
3. A. ten thousandths
4. C. tenths
5. D. hundredths
6. C. ten thousandths
hope you have a blessed day
Step-by-step explanation:
Answer:Question 3 answer is A.
Question 4 answer is C
Question 5 answer is D
Question 6 answer is C
YOUR WELCOME
Write the expression as a simplified rational expression. Show your work.
5/(1/6+1/(x+1))
Answers
Answer:
30(x+1)/x+7
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST
Answers
Answer:
1,4,5,7,9
Step-by-step explanation:
1
Answer:
Step-by-step explanation:
11, 13, 15, 17, & 19.
I had to do that problem a few years ago. :3
-Hope that helps!
In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
Answers
Answer:
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
Step-by-step explanation:
happy april fools day you nerds now take my points
Answers
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
Can I please get with the last math question??
Answers
Elww Mate..........
.........
PLEASE GIVE ME BRAINLESS BEEN DOING FOR 3 HOURS WILL GIVE BRAINLESS
Answers
Answer:x=24
Step-by-step explanation:
por favor alquien me ayuda
1.Expresa como una potencia el área del cuadrado 4/5
2.Expresa como una potencia el volumen del cubo 5/7
3.Una fábrica de pasteles de hojaldre, los empaca en forma individual en cajas cúbicas de lado 9,5 cm.
10. ¿Cuál es el volumen de las cajas para empacar pasteles individualmente?
11. Si se empaca lo pasteles en grupos de 25 cajas como muestra la figura, ¿Cuál será el volumen de
cada grupo de cajas?
22. El área de un cuadrado es 1,44 cm2
. ¿Cuál es la medida de cada lado del cuadrado?
23. Un tanque de agua de forma cúbica puede almacenar 0,729 cm2de agua. ¿Cuál es la medida de
cada lado del cubo
Answers
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
Answers
Answer:
profit as a percentage= 21.74%
Step-by-step explanation:
Giving the following information:
Purchase price= $180,000
Selling price= $230,000
To calculate the profit as a percentage, we need to use the following formula:
profit as a percentage= (profit/selling price)*100
profit as a percentage= 50,000/230,000*100
profit as a percentage= 21.74%
\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) =∣x∣ =∣x∣+1 We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.
Answers
Answer:
To get the function g, shift f by 1 unit.
Step-by-step explanation:
Given
[tex]\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}[/tex]
Required
How do f(x) translates to g(x)
In terms of f(x), g(x) can be represented as:
[tex]g(x) = f(x) + k[/tex]
Where
[tex]f(x)= |x|[/tex]
and
[tex]k = 1[/tex]
This implies that f(x) is vertically shifted 1 unit up to get g(x)
Answer:
To get the function g, shift f up by 4 units and to the left by 2 units.
Step-by-step explanation:
To get the function g, shift f up by 4 units and to the left by 2 units.
that's the answer to the khan academy one
7/10-1/6 answer in fraction
Answers
Answer:
8/15
Step-by-step explanation:
7/10 = 21/30
1/6 = 5/30
21/30-5/30 = 16/30=8/15
Answer:
32/60
Step-by-step explanation:
7/10-1/6
6 and 10 can both go into 60 so you do
10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract
42-10= 32
32/60
35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3
Answers
Answer:
can you give us a link
Step-by-step explanation:
5) A manufacturer produces paperweights composed of two congruent triangles as shown.
The length of the hypotenuse is
A. 6
B. 8
C. 10
The total length of the base of the paperweight is
A. 6
B. 8
C. 10
Answers
Answer:
Step-by-step explanation:
Since, both the triangles of the paperweight are congruent,
Their corresponding sides will be congruent.
3x + 2.5 = 4
3x = 4 - 2.5
x = 0.5
Similarly, 2y - 5 = 3x + y
2y - y = 3x + 5
y = 3x + 5
y = 3(0.5) + 5
y = 1.5 + 5
y = 6.5
Total length of the hypotenuse = 2y - 5
= 2(6.5) - 5
= 13 - 5
= 8
Option B is the answer.
Total length of the base = (3x + 2.5) + 4
= 3x + 6.5
= 3(0.5) + 6.5
= 8
Option B is the answer.
Help you plz would really appreciate it
Answers
Answer:
Oh period sis mama gwourrll
Step-by-step explanation:
round 3.26×5.15 yo significant figure
Answers
Answer:
16.789
Step-by-step explanation:
The end of the number doesnt end in a 0 and all of the numbers after the decimal are significant
Answer:
16.789
Step-by-step explanation:
The end of the number doesn't end in a 0 and all of the numbers after the decimal are significant
The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B
Answers
Answer:
its a acute 120 degree angle
(8 x 104) (4.5x 10-1) =
Answers
[tex] \tt{}(8 \times 104)(4.5 \times 10 - 1)[/tex]
[tex]\tt{}(832)(45 - 1)[/tex]
[tex]\tt{}(832)(44)[/tex]
[tex]\tt{}832 \times 44[/tex]
[tex]\tt{}36608[/tex]
plz help me with this its hard :(
Answers
Answer: 50 degrees
Step-by-step explanation:
Since the angle is 80 degrees, you need to subtract 80 from 30 to get f.
80-30= 50
This my last one help
Answers
Answer:
A2 = 120
A3 = 60
A5 = 60
A6 = 120
Step-by-step explanation:
Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.
Angle 1 and 3 are vertical angles, which are always the same measure.
Angle 5 is alternate interior angles with 3, which means it is also 60.
Angle 6 is alternate interior angles with 4, which means it is 120.
How would I solve it? I know the formula but not sure how to apply it.
Answers
If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.
Answers
Answer:
77.44%
49.87%
Step-by-step explanation:
If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air
on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056
Air left on the second day = 88% - 10.56% = 77.44%
After a week = (100 - 12%)^7 = 49.87%
WILL GIVE BRAINLIEST
(Photo is recommended)
What is the value of the expression 4 4? ____
Answers
EXPLANATION:
When you are using exponents, you are basically just doing repeated multiplication.
Whatever the exponent (smaller number is) is how many times you multiply the base number by itself.
So 4 ^4 is 4 x 4 x 4 x 4. (4 fours.)
So 4 x 4 x 4 x 4 is 256.
HAVE A GUD DAY
Can someone help me... 2(X - 12) = 10
Answers
Answer:
It's super duper easy
Step-by-step explanation:
2(X - 12) = 10
2x-24=10
2x=34
x=17
....
Answer:
distribute
2X-24=10
2x= 34
X= 17
Step-by-step explanation:
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answers
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form
Answers
We want to write the equation in the form
y = mx + b.
We need to solve for y.
4x + 2y = -6
Subtract 4x from both sides.
4x - 4x + 2y = -4x - 6
2y = -4x - 6
Divide both sides by 2.
2y/2 = (-4x - 6)/2
y = (-4x - 6)/2
y = -2x - 3
Done.
Which expressions are equivalent to the given expression?
y^-8y^3x^0x^-2
1.) x^-2y^-5
2.) 1/y^24
3.) x^2y^-11
4.) x^2/y^11
5.) y^-24
6.) 1/x^2y^5
I hope this makes sense but I don’t understand it
Answers
Answer:
can u in some way better write down the expression so i can solve..? :)