1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepan [7]
3 years ago
6

Please help

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Step-by-step explanation:

PART A

x-intercept happens when the graph pass through x-axis or when the coordinate y is equal to zero.

5x² + 2x - 3 = f(x)

5x² + 2x - 3 = y

5x² + 2x - 3 = 0

factorize

5x² + 2x - 3 = 0

(5x - 3)(x + 1) = 0

x = 3/5 or x = -1

There are two x-intercepts, those are 3/5 and -1

PART B

When the coefficient of x² is positive, the parabola has minimum vertex.

When the coefficient of x² is negative, the parabola has maximum vertex.

The coefficient of x² is 5, so the parabola has minimum vertex.

x of vertex =

x = -b/(2a)

x = -2/(2 × 5)

x = -2/10

x = -0.2

y of vertex

y = 5x² + 2x - 3

y = 5(-0.2)² + 2(-0.2) - 3

y = 0.2 - 0.4 - 3

y = -3.2

The vertex is (-0.2, -3.2)

PART C

First, define the x-intercept.

x = 3/5 = 0.6and

x = -1

Second, define the axis of symmetry

x = -b/(2a)

x = -2/(2 × 5)

x = -2/10

x = -0.2

Third, determine the vertex

The vertex is (-0.2, -3.2)

Put the x-intercept, axis of symmetry, and the vertex on cartesian plane. After that, draw the parabola.

You might be interested in
A hot air balloon holds 74,000 cubic meters of helium, a very noble gas with the density of 0.1785 kilograms per cubic meter. Ho
mel-nik [20]
P=m/V
Where p is density,m is mass,v is volume
m=PV
m=74000×0.1785
m=13209kg
5 0
3 years ago
Please answer correctly thank you!
Nina [5.8K]

If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%20%7D"
Kryger [21]

Answer:

x^2/3

Step-by-step explanation:

(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6

simplify 4/6, you get 2/3.

4 0
3 years ago
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
vladimir2022 [97]

Answer:

1) 6+4x and 5+3x. 2) 3+6x and 10+2x. 3) 15+4x and 2+3x

Step-by-step explanation:

finding area is just multiplying the sides so find numbers that multiply to make 30 and 12

6 0
3 years ago
If x represents the probability of an event happening, then which of the following represents the probability that the event wil
Bad White [126]
If the turn out of an event is to take place or not to take place only then, the sum of the probability of it taking place and not taking place is 1. If we represent the probability of it taking place by x then, the probability of it not taking place is equal to 1 - x. 
6 0
3 years ago
Other questions:
  • Express 45 = x as a logarithmic equation.
    14·2 answers
  • AAHHHHH PLS HELP MEEEEEEE AS SOOON AS POSSIBLE!!!!
    7·2 answers
  • How many ways can the letters in the word D-I-N-O-S-A-U-R be arranged?
    9·1 answer
  • Please answer this question ONLY IF YOU KNOW THE ANSWER!! 50 points and brainliest!
    8·2 answers
  • Emeline can type at a constant rate of 1/4 mpages/minute. How many pages can she type in 1 hour (60 minutes)?
    6·2 answers
  • Simplify the expression:<br> 3y2 + 15 – 2y2
    13·2 answers
  • Help me pls and dont guess
    6·2 answers
  • Karen will divide her garden into equal parts. She will plant corn in 8/12 of the garden. What is the fewest number of parts she
    7·1 answer
  • Pwease help me
    9·2 answers
  • Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!