MATHEMATICS HIGH SCHOOL

Y=1/3x2+2x-3
Please sketch graph of the equation or inequality and show work

Answers

Answer 1
Answer: y= (1)/(3)x^2+2x-3\n \nx=-9 \Rightarrow y=(1)/(3) \cdot (-9)^2+2 \cdot (-9)-3=(1)/(3) \cdot 81-18-3=27-21=6 \n \nx=-6 \Rightarrow y=(1)/(3) \cdot (-6)^2+2 \cdot (-6)-3=(1)/(3) \cdot 36-12-3=12-15=-3\n \nx=-3 \Rightarrow y=(1)/(3) \cdot (-3)^2+2 \cdot (-3)-3=(1)/(3) \cdot 9-6-3=9-9=0

x=0\Rightarrow y=(1)/(3) \cdot (0)^2+2 \cdot (0)-3=(1)/(3) \cdot 0-0-3=0-3=-3\n\nx=3\Rightarrow y=(1)/(3) \cdot 3 ^2+2 \cdot 3-3=(1)/(3) \cdot 9+6-3=3+3=6

Related Questions

What is artificial intelligence
The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid. a. ( 48 + 48 ) b. ( 48 + 15 ) c. ( 48 + 30 ) d. ( 24 + 15 )
Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
Melissa compares the numbers 0.058 and 0.21. She thinks that 0.058 > 0.21 because 58 > 21 , but the reasoning that Melissa used is incorrect
A cube-shaped box has a volume of 125 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one face of the box?

Write an equation
Eight times the sum of m and 7 is 21

Answers

Answer:

the equation would be 8(m+7)=21
8 ( m + 7 ) = 2 1
your welcome ! <3

The expression -6a - 4a + 7a in simplified form is 5a.
a. True
b. False

Answers

Answer:

It would be -3a

Step-by-step explanation:

(-6-4+7)a
-6a - 4a + 7a = -10a + 7a = -3a, that isn't 5a;
b. False

The curve produced by the water coming from a hose is sketched onto a graph with zeros at 0 and 5. The point (4, 1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and x represents the horizontal distance, which statements are true? Check all that apply.A.The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
B.The scenario can be represented by the function h(x) = (x)(x + 5).
C.The vertex is on the line x = 2.5.
D.The greatest height that the water reaches is 1.5 units.
E.The scenario can be represented by the function h(x) = –1(x – 5).

Answers

The statements that are true are:

A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).

E. The scenario can be represented by the function h(x) = –1(x – 5).

which statements are true?

Given that the curve produced by the water from the hose has zeros at 0 and 5 and passes through the point (4, 1), determine which statements are true.

A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).

To check if this statement is true,  substitute the given point (4, 1) into the equation:

h(4) = –0.25(4)(4 – 5) = –0.25(4)(-1) = 0.25(4)(1) = 1

Since h(4) evaluates to 1, which matches the y-coordinate of the given point, this statement is true.

B. The scenario can be represented by the function h(x) = (x)(x + 5).

This statement does not match the given information since the function does not account for the zeros at 0 and 5. Therefore, this statement is false.

C. The vertex is on the line x = 2.5.

Since the vertex is not mentioned or indicated by the given information, we cannot determine its exact location. Therefore, this statement is undetermined.

D. The greatest height that the water reaches is 1.5 units.

Since the given point (4, 1) lies on the curve, and no other information suggests a greater height, we cannot conclude that the greatest height reached is 1.5 units. Therefore, this statement is false.

E. The scenario can be represented by the function h(x) = –1(x – 5).

To check if this statement is true, let's substitute the given point (4, 1) into the equation:

h(4) = –1(4 – 5) = –1(-1) = 1

Since h(4) evaluates to 1, which matches the y-coordinate of the given point, this statement is true.

In summary, the statements that are true are:

A. The scenario can be represented by the function h(x) = –0.25(x)(x – 5).

E. The scenario can be represented by the function h(x) = –1(x – 5).

Read on curve on brainly.com/question/29364263

#SPJ3

Answer:A and C

Step-by-step explanation:

I got it right

Emily wants to make a regtangular model with a height of one connecting cube. she wants to make the model in exactly 2 different ways. how many connecting cubes could Emily use to make the model in only 2 ways. A6, B12, C16, D18

Answers

A 6, because it can be 6x1x1 or 3x2x1

jordan has been offered two summer jobs. One job is at the mall and pays $7 per hour. The other job is with your neighbor, who will pay $50 per week plus $5 per hour. How many hours per week would jordan have to week for both jobs to pay the same amount?

Answers

so, let's let P be his profit (wage) and h be total hours he is deciding to work for.

P = 7h
P = 5h + 50

These are the equations we have. Imagine they are lines on graph paper, and we have to find their intersection point (a point where an xy point is on both lines). To do this, we have to find the h and P. I'll use some algebra:

P - P = 5h + 50 - 7h
0 = -2h + 50
2h = 50
h = 25

So, after 25 hours in a week, he should have gotten the same amount of money from both jobs.

Brainly for correct answer!!The diagram shows two parallel lines cut by a transversal. One angle measure is shown.


Find the values of A B C D E F and G

Answers

The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

The diagram shows two parallel lines cut by a transversal.

As we know from the definition of the vertically opposite angles:

b = 54 degrees

a + c = 54 + b  (a = c)

2a = 54x2

a = 54 degrees

Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.

Similarly:

b = 54

c = 126

d = 54

e = 126

f = 54

g = 126

Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ2

Answer:

a= 126

b= 54

c= 126

d= 54

e= 126

f= 54

g= 126

Step-by-step explanation:

To find a you would subtract 54 from 180 which would give you 126

Since a and b are another linear pair they would also add up to 180.

Then you move to c which is a linear pair with 54 so it is 126.

Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
Other Questions
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.x + y = 3,500 x – y = 2,342 Solve the system of equations. How many contemporary titles does Jarred have? 1,158 1,737 2,342 2,921
What is the tenth term of the geometric sequence 3, 6, 12, 24, 48, … ?
Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomas garden?
62+25=25+___ what's the answer? I'm only 2 grade