Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )

Answers

Answer 1

Answer:

Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2

Step-by-step explanation:

x^2+5x-7

x^2+5x+(2.5)^2-(2.5)^2-7

(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)

Solution of the functions are x=(-5±sqrt(53))/2


Related Questions

*** SOMEBODY HELP ME**

Point p is the circumcenter ABC. Point p is the point of concurrency of the perpendicular bisector. Find AS

Answers

Answer:

AS = 46

Step-by-step explanation:

The circumcentre is equally distant from the triangle' s 3 vertices , then

AS = BS = 46

Analyzing Graphs of Functions
Which graph shows a function where f(2) = 4?

Answers

Answer:

the first one

Step-by-step explanation:

check which graph passes through the point (2,4)

Answer:

First graph

Step-by-step explanation:

Edge

Someone please help me!! I don’t know the answer!!

Answers

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

The answer would be R= 5

dididjdjdjdhjdjdh < so that i could answer

PLS HELP!
What effect will replacing x with (x + 7)have on the graph of the equation
y = x^2

Answers

Answer:

The answer would be C.

Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.

Step-by-step explanation:

Answer:

shift 7 units to the LEFT

Step-by-step explanation:

A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.

Answers

Answer:

The length of the kitchen is 2.23 meters.

Step-by-step explanation:

Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:

Width = 2 meters

Hypotenuse = 3 meters

2 ^ 2 + X ^ 2 = 3 ^ 3

4 + X ^ 2 = 9

X ^ 2 = 9 - 4

X = √ 5

X = 2.236

Therefore, the length of the kitchen is 2.23 meters.

An auto dealership sells minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, they sold 7 minivans and 14 sedans. During which month did the auto dealership sell a lower ratio of minivans to sedans?

Answers

Answer:

january = 10/20 = 1/2

februry = 7/14 = 1/2

so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.

hope it helps :)

The scatter plot shows the number of cars and trucks sold by 10 different employees at a car and truck dealership during a month.

How many employees sold more cars than trucks?



Enter your answer in the box.

Answers

Answer:

3 employees

Step-by-step explanation:

The best way to obtain a solution is to note the coordinate if each point on the scatter plot :

Where, the x - axis represents the number of cars sold and y - axis represents the number of trucks sold.

So, the number of employees that sold more cars than trucks exists where the x - axis value is greater than its corresponding y-axis value.

The scatter plot points : (2,4) (4,3) (3,7) (3,9) (4,8) (5,6) (5,7) (6,6) (9,0) and (10,1)

Points where x-axis > y-axis with each coordinate representing an employee :

(4,3) ; (9,0) and (10,1) = 3 employees.

Which answers are elements of the solution set of the inequality? Check all that apply. X-54 > - 76

A.-25
B.-32
C.42
D.24
E.-36
F.-22​

Answers

Answer:

C, D

Step-by-step explanation:

I assume your problem statement actually says

x - 54 > -76

x > -22

then the answers

C, D

are part of the solution set.

the others are not.

what is x(2)+y(6) if x=4 and y=(-4)


Also, can anyone just talk?

Answers

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..

Si gasto el 90% de mis ahorros, me queda la decima parte de los que habia ahorrado?

Answers

Answer:

Si

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

Respuesta: Si

At 11:30 a.m. the bottle is 1/4 of the way full. At what
time will the bottle be 1/2 full?
o 11:31 a.m.
11:35 a.m.
O 11:40 a.m.
1:00 p.m.
It’s B: 11:35 a.m.

Answers

Answer:

B. 11:35 am

Step-by-step explanation:

11:30 a.m. the bottle is 1/4 of the way full.

At what time will the bottle be 1/2 full?

Time required = 1/4 ÷ 1/2

= 0.25/0.5

= 0.5 minutes

Total time required for the bottle be 1/2 full

= 11:30 am + 0.5 minutes

= 11:35 am

B: 11:35 a.m

Answer:

A The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

B The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.

D Exponential growth involves a constant multiplicative rate of change.

Step-by-step explanation:

Edge 2021

3 + 2 not really a question but does anyone know the user who's name is playboy or something leave a comment below please

Answers

Answer:

your my friend your questions are cool

Answer:

5

Step-by-step explanation:

Well I not know which playboy you’r talking because there are lot of people name has that

Samuel played a video game. He gained some points, lost 87 points, and
finished with less than 320 points, Which of the following inequality
represents the given situation?
A.) n-87 < 320
B.) N + 87 < 320
C.) N-87 = 320
D.) n +87= 320

Answers

Answer:

A

Step-by-step explanation:

The correct inequality that represents the given situation is: A.) n - 87 < 320.

How to explain the equation

The situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.

Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.

Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.

This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.

Learn more about equations

https://brainly.com/question/2972832

#SPJ2

Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without remainder. Find the greatest possible length of the pieces.

Answer: _ feet

Answers

Answer:

The greatest possible length of the pieces is 5 feet

Step-by-step explanation:

Red = 415 feet

Green = 780 feet

Find the greatest possible length of the pieces.

Find the Highest common factor

415 = 1, 5, 83, 415

780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780

The Highest common factor of 415 and 780 is 5

The greatest possible length of the pieces is 5 feet

Red = 415/5

= 83 pieces

Green = 780/5

= 156 pieces

Asignen a cada situacion un numero entero A_la altura del monte everest es de 8848 m B_un buso descendio 25 m C_el auto esta estacionado en el 1° sub suelo D_se acreditador $500 en la caja de ahorro E_el deportista que obtuvo la medalla de oro en salto en alto alcanzo los 2,38 m F_la muralla china se construyo aproximadamente 200 años antes de cristo

Answers

Respuesta:

+8848 m;

- 25 metros

- 1

+ 500

+ 2,38

- 200

Explicación paso a paso:

Los signos se asignan en función del escenario descrito.

La altura del monte Everest representa la altitud y esto atrae un signo positivo.

Un descenso de 25 m representa una disminución y, por lo tanto, atrae un signo negativo.

El primer subsuelo se refiere al primer piso debajo, la posición hacia abajo atraerá un signo negativo.

Un crédito representa una adición, por lo tanto, atrae positivos

Un salto se clasificará como positivo

A la fecha o período pasado se le asignará un signo negativo

Express 34C21 as a sum of two terms from pascals triangle.

Answers

Given:

The combination is:

[tex]^{34}C_{21}[/tex]

To find:

The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.

Solution:

According to the pascals triangle:

[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]

We have,

[tex]^{34}C_{21}[/tex]

Using the pascals triangle formula, we get

[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]

Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].

Solve this quadratic equation using the quadratic formula. 2x 2 - 2x = 1

Answers

Answer:

( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Step-by-step explanation:

2x^2 - 2x = 1

2x^2 - 2x - 1 = 0

Here,

a = 2

b = - 2

c = - 1

D = b^2 - 4ac

D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )

= 4 + 8

D = 12

x = - b ± √D / 2a

= - ( - 2 ) ± √12 / 2 ( 2 )

= 4 ± 2√3 / 4

= 2 ( 2 ± √3 ) / 4

= 2 ± √3 / 2

x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Lucia gave Brenda half of the cash she had in the store counter at the end of the day. Brenda put the money in her purse and added one half of the amount she had from her own savings. Brenda had saved half of what Lucia earned in the store that day. Brenda took her purse and went to the dog shelter and brought food and treat packet for 5 dogs. Each packet cost her $15. How much money did Lucia earn at the store that day?

Answers

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

b) 5(2x - 4)
Expand the following

Answers

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

B.
f(x) = -1x - 4; Find f(-3)

Answers

Answer:

f(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -1x - 4

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                          f(-3) = -1(-3) - 4Multiply:                                                                                                             f(-3) = 3 - 4Subtract:                                                                                                            f(-3) = -1

hellppp meeeeeee pleaseeee​

Answers

Answer:

Step-by-step explanation:

abscissa = x coordinate

ordinate = y coordinate

table:

A( 2,-3)   / (2, -3) / 2/  -3

B(-1,-7)    / (-1, -7) / -1/  -7

C(2,0)    / (2,0)   / 2 / 0

D(-9, 6)  / (-9,6) / -9 / 6

E(2,4) .  / (2,4) .  / 2 / 4

F(0,-5)  /  (0,-5) / 0 / -5

F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?

Answers

Answer:

yes it is a function         A

Step-by-step explanation:

Plz answer will give brainliest

Answers

These triangles are congruent by SAS, therefore HI and IJ will be the same length.

3v = v + 60

2v = 60

v = 30

Hope this helps!

Help please i will give brainliest

Answers

Answer:

48

Step-by-step explanation:

To find how many 1/3 cm length cubes fill the prism, we first need to find the volume, which is equal to

length * width * height = 1 cm * (2 + 2/3) cm * (2/3) cm

= 1 cm * (6/3 + 2/3) cm * (2/3) cm

= 1 cm * (8/3) cm * (2/3) cm

= (8/3) cm ² * (2/3) cm

= (16/9) cm³

Therefore, the volume is 16/9 cm³.

Next, one cube with side lengths of 1/3 has a volume of ((1/3) cm)³ = (1/27)³

We thus need to find how many of 1/27 goes into 16/9

If we multiply 16/9 by 1=3/3 (as 9*3=27), we can equalize the bases, making 16/9 = 48/27

All that's left is to figure out how many times 1/27 goes into 48/27, which is equal to (48/27)/(1/27) = 48

Find AC, given that line AD is the perpendicular bisector of BC

Answers

Answer:

wouldn’t it just be 21? because both are the same but mirrored

how to solve (n^(3)+3n^(2)+3n+28)-:(n+4) in long polynomial division?

Answers

Answer:

Open the image. (Hope you don't mind about bad writing)

A ball is thrown vertically with a velocity of18 m/s. It’s height, h, in meters above the ground after t seconds is given by the equation: h= -5t2+10t+35. Algebraically, determine the following.
Find The maximum height of the ball and the time it takes to reach that height
The time it takes the ball to hit the ground.

PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.

To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!

To complete the square, set the quadratic equal to 0 and then move over the constant, like this:

[tex]-5t^2+10t=-35[/tex]  The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:

[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.

The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.

[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.

The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:

[tex]-5(t-1)^2=-40[/tex]

Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:

[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.

To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:

[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get

[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:

t - 1 = ±√8. Now add 1 to both sides to isolate the t:

t = 1 ± √8. In decimal form:

t = 1 + √8 is 3.828 seconds and

t = 1 - √8 is -1.828 seconds.

Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.

1 by 8 of the passenger of a train where children is there where 40 children traveling in the train on a Saturday how many Abbott were there in that that day?

Answers

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

2cm + 5cm + 6.4cm cuboid

Answers

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

Find f(-5) if f(x)=[x+1]

Answers

Answer: -5

Step-by-step explanation:

square brackets mean that you need to select an integer part from the number that does not exceed the original number, that is, if we have a number, that is, if [5,1]=5 or [-5,1]=-6    ;  curly brackets highlight the fractional part {}   [tex]\displaystyle\ \Large \ \boldsymbol{Rules: } \\\\\\\boldsymbol{ if \ x >0 => [x]=x-\{x\}} \\\\\\\boldsymbol{if \ x<0 => [x]=x-1+\{x\}} \\\\\\then \ \ f(-5)=[-5+1]= [-4]=-4-1+0=\boxed{-5}[/tex]                                                                                                              

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