What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.

Answers

Answer 1

Answer:

(1;1) and (0;4)

Step-by-step explanation:

1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then

[tex]x_0=\frac{-b}{2a}; \ = > \ x_0=1;[/tex]

[tex]y_0=3*1-6*1+4=1;[/tex]

it means, the vertex has coordinates (1;1).

2) if according to the condition x=0, then

f(0)=0-0+4=4;

it means the Y-intercept is 4.


Related Questions

also may i have help with this one

Answers

The answer should be 11 since adding all the x’s up before 13 equals 11

PLEASE HELP howard has 3 times money as ronald if howard gives ronald $50, Ronald will then have 3 times as much as howard how much money in dollars will the two of them have together. Brainliest for answer​

Answers

Answer:

$100

Step-by-step explanation:

What we know,

Howard has 3 times more money than RonaldIf Howard gives Ronald $50, Ronald will then have 3 times more money than Howard

Let us assume that Ronald has $25, so Howard must have $75,

Now Howard gives $50 to Ronald, Now Ronald has $75,

Therefore our assumption is correct,

Therefore Ronald and Howard together will have $100.

The sum of the first 10 terms of an arithmetic series is 100 and the sum of next 10 300 .Find the series.​

Answers

Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then

a₁ = a

a₂ = a₁ + d = a + d

a₃ = a₂ + d = a + 2d

a₄ = a₃ + d = a + 3d

and so on, up to the n-th term

aₙ = a + (n - 1) d

The sum of the first 10 terms is 100, and so

[tex]\displaystyle \sum_{n=1}^{10} a_n = 100 \\ \sum_{n=1}^{10} (a + (n-1)d) = 100 \\ (a-d) \sum_{n=1}^{10} 1 + d \sum_{n=1}^{10} n = 100 \\ 10a+45d = 100[/tex]

where we use the well-known sum formulas,

[tex]\displaystyle \sum_{n=1}^N 1 = 1 + 1 + 1 + \cdots + 1 = N[/tex]

[tex]\displaystyle \sum_{n=1}^N n = 1 + 2 + 3 + \cdots + N = \frac{N(N+1)}2[/tex]

The sum of the next 10 terms is 300, so

[tex]\displaystyle \sum_{n=11}^{20} a_n = 300 \\ (a-d) \sum_{n=11}^{20} 1 + d \sum_{n=11}^{20} n = 300 \\ (a-d) \left(\sum_{n=1}^{20} 1 - \sum_{n=1}^{10} 1\right) 1 + d \left(\sum_{n=1}^{20} n - \sum_{n=1}^{10} n\right) = 300 \\ 10a+145d = 300[/tex]

Solve for a and d. Eliminating a gives

(10a + 145d) - (10a + 45d) = 300 - 100

100d = 200

d = 2

and solving for a gives

10a + 145×2 = 300

10a = 10

a = 1

So, the given sequence is simply the sequence of positive odd integers,

{1, 3, 5, 7, 9, …}

given recursively by the relation

[tex]\begin{cases}a_1 = 1 \\ a_n = a_{n-1} + 2 & \text{for }n>1\end{cases}[/tex]

and explicitly by

[tex]a_n = 1 + 2(n-1) = 2n - 1[/tex]

for n ≥ 1.

Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).

Answers

Answer:

1/2 i think using a app brjejfj

Find the slope of the line containing the pair of points.
(5,1) and (-5, -9)
I really need this

Answers

Answer:

1

Step-by-step explanation:

[tex]my \: dear \: \\ to \: find \: the \: slope \: of \: a \: line \: use \: the \: formular \\ slope = \frac{y2 - y1}{x2 - x1} \\ from \: the \: question \: x1 = 5 \: \: y1 = 1\: \: x2 = - 5 \: \: y2 =- 9 \\ slope = \frac{ - 9 - 1}{ - 5 - 5} = \frac{ - 10}{ - 10} = 1 \\ therefore \: slope = 1 \\ hope \: this \: helps \\ stay \: focused \: with \: your \: studies[/tex]

What is the area of a circular cardboard piece needed for the base of a model of a volcano that is 20 centimeters tall and has a volume of 960 cubic centimeters?

Answers

Closer to 960 because of the 10 and 20

Answer:

144

Step-by-step explanation:

im right:D have  a good day or night

URGENT PLEASE HELP 50 POINTS AND WILL NAME BRAINLIEST An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream. single is $3.50, double is $4.50, and triple is $5.50 Create a table showing the total cost of each size, the total volume of ice cream for each size, and the unit cost (per unit volume) of each size. Include units with your table entries. you dont have to create the table, but i really need the values!

Answers

u take x then multiply it by b, the add 9 to x then we will get the answer xb9x, hope u understand;>

Please help this mad hard

Answers

Answer:

First Net

Step-by-step explanation:

The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.

Hope this helps :)

What does "Y" equal? Answer ASAP and whoever gets it right can have brainliest

Answers

Answer:

Y = 21

To solve this, do the inverse of division, multiplication. Multiply 3 by the result, 7, and you get 21 as your answer to the missing digit.


Help please!! MY LIFE DEPENDS ON THIS

Answers

Answer:

D

Step-by-step explanation:

A total of 18 teams made 26 or more feild goals.

The answer is D
I took the test

Fred is baking cookies for a school
bake sale. It takes
2/3 of a cup of
sugar to
make one batch of
cookies. How many cups
of sugar
does he need to double the
recipe?

Answers

Answer: Fred needs 4/3 a cup of sugar, which can be simplified into 1 1/3.

Step-by-step explanation:

If you do 2/3 times 2/1 (because double means twice the amount) you will get 4/3, which again, can be simplified into 1 1/3.

Two of the angles in a triangle measure 17° and 153° What is the measure of the third angle?

Answers

Answer:

10

Step-by-step explanation:

153+17=170
180-170=10

Alguien podra ayudarme en pregunta numero 8

Answers

Answer:

jb

Step-by-step explanation:

9

Please help me thank you!

Answers

Add up all scores and divide .

525/ 7= 75 Mean score

What is 10,000 written as a power with a base of 10?

Enter your answer in the boxes.

Answers

Answer:

10 to the power of 4

Step-by-step explanation:

3. Subtract
x)--5x2 + x-2
g(x) = -3x2 + 3x + 9 9

Answers

Step-by-step explanation:

For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.

Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.

Step 2: Place them horizontally.

(4x - 10y + 15z) - (5x + 8y - 20z)

Step 3: Change the sign of the second polynomial through the parentheses.

4x - 10y + 15z - 5x - 8y + 20z

Step 4: Arrange the like terms together.

4x - 5x - 10y - 8y + 15z + 20z

Step 5: Solve the equation

-x - 18y + 35z

Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.

Jim is 8 ft 9 in tall. Jane is 23.5 in tall. How many times taller than Jane is​ Jim?

Answers

because 23.5 inches is 1.9 feet, Jim is 8 times taller than Jane :)

which is bigger 25 fl oz or 1 pint

if you help it would be appreciated

#learning with brainly

Answers

Answer:

25 fl oz

Step-by-step explanation:

1 pint is equivalent to 16 fl oz, so we're left with 25 fl oz and 16 fl oz. As you can see, 25 is greater than 16, making 25 fl oz the correct answer.

25 fl oz is equal to 1.5625 pints. so 25 fl oz is bigger

PLSSSSSSSSSSSSS HELPPPPPPPPPPPPPPP

Answers

number one is c
number two is a
number three is d

What is the solution to this inequality? -m > 5
[A] m < -5
[B] m > -5
[C] m > 5

Answers

Answer:

the answer is A

Step-by-step explanation:

trust me yw <33

There are 114 cans of soup in a grocery store. The ratio of large cans of soup to small cans of soup is 12:7. A customer buys 2 large cans of soup. What is the new ratio of large cans of soup to small cans of soup in the grocery store? Choose all the correct answers. A. 3:5 B. 5:3 C. 8:5 D. 10:7 E. 35:21 F. 37:21

Answers

The ratio of the large cans to small cans shows the distribution of both cans

The new ratio of large cans of soup to small cans of soup in the grocery store is (b) 5 : 3 and (e) 35: 21

How to determine the ratio?

The given parameters are:

Ratio = 12 : 7

Rewrite as:

Large : Small= 12 : 7

The number of cans is given as:

Can = 114

So, the distribution of the cans are:

Large = 12/(12 + 7) * 114

Large = 72

Small = 7/(12 + 7) * 114

Small = 42

When 2 large cans are purchased, the remaining number of cans are:

Small = 42

Large = 70

Express as ratio

Large : Small = 70 : 42

Simplify

Large : Small = 35 : 21

Large : Small = 5 : 3

Hence, the new ratio  is (b) 5 : 3 and (e) 35: 21

Read more about ratio at:

https://brainly.com/question/16981404

Andrew wants to lay new turf in his garage.Andrews garden is a rectangle measuring 3m by 4m,New turf cost 12.50pr m2.
How much will it cost Andrew to get enough new turf for his garden?
I WOULD REALLY APPRECIATE YOUR HELP

Answers

Answer:

$150

Step-by-step explanation:

The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150

If P is the incenter of triangle JKL, find PJ

Answers

If P is the incenter of ΔJKL, then we have,
PN = PM = PO


To find PJ first we need to calculate the value of x
Since,

PN = 22
So,
PM = 22

Now, in ΔPJM we have,

PJ^2 = PM^2 + MJ^2
PJ^2= (22)^2 +(2x+3)^2...(1)

Also, In ΔPJO we have,

PJ^2 = PO^2 + OJ^2
PJ^2 = (22)^2 (5x - 45)^2...(2)

From equation (1) and (2) we obtain,

(5x - 45)^2+(22)^2=(2x+3)^2 +(22)^2
25x^2 — 450x + 2025 = 4x^2 + 12x + 9
25x^2 — 4x^2— 450x — 12x + 2025 — 9 = 0
21x^2 — 462x + 2016 = 0
x^2 - 22x+96 = 0
x^2 — 16x — 6x + 96 = 0
x(x - 16) -6(x - 16) = 0
(x - 6)(x - 16) = 0
Either x=6 or x=16

At x = 6
JO = 5 x 6 - 45
= 30 - 45
= -15

Which cannot be possible because edge length cannot be negative
So the value of x = 16

Hence, the length of PJ is

PJ^2 = 484 + (80 - 45)^2
PJ^2 = 484 + 1225
PJ^2 = 1709
PJ = √1709
PJ = 41.33

Therefore, the length of PJ is 41.3 units



whai is numarates what is ​

Answers

Answer:

Not a proper question. But I think it's a 5

[tex] \huge \pink{ \underline{ \overline{ \: 5 \: i \: think}}}[/tex]

Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES

Answers

Answer: D: Square Root Of 5

Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)

graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted 4 units to the right. What is its equation?F(x) = _____

Answers

Answer:

G(x) = (x-4)⁴

Step-by-step explanation:

The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function G(x).

G(x) = x⁴

A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.

A function h(x) when shifted to the right by k units becomes h(x - c).

So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).

G(x - 4) = (x - 4)⁴

So, F(x) = (x - 4)⁴

Hence the function is F(x) = (x - 4)⁴.

Learn more about Translation of Functions here :

https://brainly.com/question/29198392

#SPJ7

Find center and radius of this circle:
[tex](x-9)^2+(y+4)^2=25[/tex]

Answers

Answer:

Center: (9,-4)

Radius: 5

Step-by-step explanation:

Equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

h=9

k=-4

r=5

center is (h,k)

to find the radius, get square root of 25

Answer:

Center is (9,-4)

Radius: 5

Step-by-step explanation:

h=9

k=-4

r=5


55. Find the inverse function of [tex]g(x)=\log _{4}\left(x^{3}+2\right)[/tex] .

Answers

[tex]y= g(x) = \log_4 (x^3 +2)\\\\\text{Replace x with y and solve for y:}\\\\~~~~x=\log_4 (y^3 +2)\\\\\implies y^3 +2 = 4^x\\\\\implies y^3 =4^x-2\\ \\\implies y = \sqrt[3]{4^x -2}\\\\\implies f^{-1} (x) = \sqrt[3]{4^x -2}[/tex]

Choose the inequality represented in the graph.

A. y ≥ -4/5x - 3
B. y > -5/4x - 4
C. y > -4/5x - 3
D. y < -5/4x - 3

Answers

Answer:

C

Step-by-step explanation:

The line is dotted, so the sign is non-inclusive.

The dotted line is y = -(4/5)x - 3.

The section of the graph above the line is shaded so this inequality is "greater than".

So, putting these together, you get:

C. y > -(4/5)x - 3

Find the area (image attached) this is literally my 3 time asking

Answers

I'll help you!

Answer:

EXACT: 2.7√1.71 + 4.05 units²

APPROX: 3.5307 + 4.05 = 7.58 units²

Step-by-step explanation:

See the attached help image

Total A = 2 triangles + 1 trapezoid

Triangles

Find missing side:

2.7² + b² = 3²

b² = 3² - 2.7²

b = √1.71

Find area of triangles:

A = bh/2

A = b(2.7)/2

A = √1.71(2.7)/2
A = 1.35√1.71 units²

Trapezoid

A = (a + b)(h)/2

A = ((3-√1.71) + √1.71)(2.7)/2

A = (3)(2.7)/2

A = 4.05 units²

Total

2(1.35√1.71) + 1(4.05)

EXACT: 2.7√1.71 + 4.05 units²

APPROX: 3.5307 + 4.05 = 7.58 units²

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