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

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

Answer:

AS = 46

Step-by-step explanation:

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

AS = BS = 46

Answer:

yes it is a function         A

Step-by-step explanation:

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

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

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

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..

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.

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!

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

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

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

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.

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

Answer:

f(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -1x - 4

Step 2: Evaluate

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

Answer:

A

Step-by-step explanation:

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

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

Answer:

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

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:

Answer:

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

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

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

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]                                                                                                              

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].

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

Answer:

Si

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

Respuesta: Si

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 :)

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.

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

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.