Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answers
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
3(x^2-2x-1)-2
3x^2-6x-3-2
F(x) = 3x^2-6x-5
Related Questions
A ladder is leaned against a wall that is six feet tall, so that the top of the ladder is resting on the top
of the wall. The ladder is inclined at an angle of thirty degrees. Find the distance from the bottom of
the ladder to the base of the wall. Round your answer to the nearest tenth of a foot. Do not include
units in your answer.
Answers
Answer:
[tex]10.4[/tex]
Step-by-step explanation:
The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.
In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:
[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].
Make s the subject of the formula
Answers
Answer:
choose option E.
Step-by-step explanation:
Given
t² = 2p + as
.Making s as the subject
as = t² - 2p
s = ( t² - 2p) / a
t² = 2p + as
t² - 2p = as
(t² - 2p)/a = s
s = (t² - 2p)/a , answer = E
Hiiiooo! Can someone please help out❤️❤️❤️❤️:D
Answers
Answer:
x = 14.6
Step-by-step explanation:
hopes this helps
What is the remainder when p(x) is divided by (x+1)
Answers
Step-by-step explanation:
WHEN A POLYNOMIAL P(X) IS DIVIDED BY (X+1), THEN THE REMAINDER WILL BE 3.Answer:
3
Step-by-step explanation:
5.solve for x 6. solve for x
Answers
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
15.00 + 1.75x > 7.50 + 2.25
Answers
Answer:
Step-by-step explanation:
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answers
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Find the side length of a square with
area 16/49 square inches.
Answers
This is where we get the term "square root".
s2 = 49
take the square root of each side
s = 7
The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]
Given the following data:
Area of a square = [tex]\frac{16}{49}[/tex] square inches.To determine the side length of this square:
In this exercise, you're required to solve for the length of the sides of a square that has an area of [tex]\frac{16}{49}[/tex] square inches.
Formula for the area of a square.Mathematically, the area of a square is calculated by using the formula;
[tex]A=S^2[/tex]
Where;
S is the length of each sides of a square.Substituting the value into the formula, we have;
[tex]\frac{16}{49}=S^2[/tex]
Taking the square root of both sides, we have;
[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]
Read more on area of a square here: https://brainly.com/question/16758129
The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.
Answers
Solve the system of linear equations by substitution.
6x - 9 = y
y=-3x
Answers
Point Form: ( 1 , − 3 )
Equation Form: x = 1 , y = − 3
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Brainliest or a thank you please! have a great day/night
Equation form: x = 1 , y=-3
Please help me please I’m begging you , no wrong answers
Answers
Jack learned four appetizer recipes over the course of 2 weeks of culinary school. After 5 weeks of culinary school, how many total appetizer recipes will Jack know? Assume the relationship is directly proportional.
Answers
Answer:
10 appetizers
Step-by-step explanation:
4/2 = x/5
20 = 2x
x = 10
Find the missing length.
Answers
9514 1404 393
Answer:
c = √73
Step-by-step explanation:
The Pythagorean theorem tells you that ...
c² = a² + b²
The sides you choose to call 'a' and 'b' don't matter. We can let 'a' be the left side and 'b' be the top side. Then we have ...
c² = 3² +8² = 9 + 64 = 73
Taking the square root gives ...
c = √73
Answer:
c = [tex]\sqrt{73}[/tex]
Step-by-step explanation:
c is the hypotenuse ( side opposite to the right angle )
So,
[tex]c^{2}[/tex] = [tex]8^{2}[/tex] + [tex]3^{2}[/tex] (Pythagoras theorem)
c = [tex]\sqrt{64 + 9}[/tex]
c = [tex]\sqrt{73}[/tex]
Please help me ASAP
Answers
Answer:
b
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
help asap
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answers
Answer:
just multiply all the sides
Step-by-step explanation:
Answer:
i just need the point thank you
Step-by-step explanation:
what is 15% of a circlee in degrees
Answers
Explanation: 360*.15=54
find the value of a,b,y, and z
Answers
Answer:
^ACD= 90+60+x=180
^ACD=150+x=180
^ACD=x=30.
^DCB=60.
^CDB=90
tan 60 = 8/a
a = 8/tan 60
a = 4.61880....
a = 4.6 cm (nearest tenth)
sin = opposite/ hypotenuse
sin 60 = 8/y
y = 8/sin 60
y = 9.2376.....
y = 9.2 cm (nearest tenth)
tan 30 = 8/b
b = 8/tan 30
b = 13.8564......
b = 13.9 cm (nearest tenth)
sin 30 = 8/x
x = 8/sin 30
x = 16 cm
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answers
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
Make t the subject of the formula.
Please help.
Answers
Answer:
[tex]t = \frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
[tex]q = \frac{2-4t}{t+3}\\\\[/tex]
Cross multiply,
q(t+3) = 2 - 4t
Use distributive property: a*(b + c) =(a*b) + (a*c)
qt + 3q = 2- 4t
qt + 4t + 3q = 2
qt + 4t = 2 - 3q
t(q + 4) = 2 -3q
[tex]t = \frac{2-3q}{q+4}[/tex]
Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?
Answers
Answer: $20.59
Step-by-step explanation:
0.13 * 6 = 0.78
25 - 0.78 = 24.22
85% * 24.22 = 20.59
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
Answers
PLS NEED HELP DON'T UNDERSTAND ONE PART
Answers
Answer:
Step-by-step explanation:
Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees
Answer = 1800 degrees
Hope that helps!
Answer: .
Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.
graph the solution to this inequality on the number line. -4x+7>x-13
Answers
Answer:
the solution is x<4 (color green)
Step-by-step explanation:
hello :
draw the graph for the line : y= x-13 ( color bleu)
draw the graph for the line : y= -4x+7 ( color red)
the solution is x<4 (color green)
'Five times a number minus eight is 17.5.
Answers
Answer:
5.1
Step-by-step explanation:
you need to work backwards.
so do 17.5 + 8 then divide by 5 to get 5.1
i hope this helps :)
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answers
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
Find the 11th term of the geometric sequence 6, -18,54, ...
Answers
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294
Answer:
354294
Step-by-step explanation:
a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!
Answers
Answer:
No, no, yes, yesStep-by-step explanation:
–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5
no as variable has positive coefficientb/6 ≤ 7 ⇒ b ≤ 42
no as variable has positive coefficient–4.5c > 9 ⇒ c < - 2
yes as variable has negative coefficient–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25
yes as variable has negative coefficient4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
Answers
Answer:
x= 5
Step-by-step explanation:
You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.
Solve: 6 divided by 1/6
Answers
Answer:
0.1 I think
Step-by-step explanation:
I only need b par plz ฅ^•ﻌ•^ฅ
Answers
Line 2 slope = -4
Line 3 slope = -1/3
Line 1 and 2 are perpendicular, the rest are neither