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
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink f
xxMikexx [17]

Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = \frac{18}{60}

The probability of person preferred coffee = \frac{29}{60}

The probability of person preferred juice = \frac{13}{60}

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = \mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}

    =   \frac{18}{60}  =  0.3

3 0
3 years ago
If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?
lozanna [386]

Answer:

34

Step-by-step explanation:

in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups

8 0
3 years ago
Read 2 more answers
A survey determined that 5/19 of the seventh grade students at Mills Middle School preferred round chocolate candies to hard can
Kaylis [27]

Answer:3/19

Step-by-step explanation:

5/19 - 2/19 = 3/19

5 0
3 years ago
70 + x + 55 + 30 = 180
sergiy2304 [10]

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

3 0
2 years ago
Read 2 more answers
Each day the gumball machine in the mall sells 919 gum balls. How many gum balls would it have sold after 160 day?
NikAS [45]
It would have sold 147,040 after 160 days
7 0
3 years ago
Read 2 more answers
Other questions:
  • A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
    6·1 answer
  • Explain you can use the whole number expression 248 divided by 4 to check that your answer to exercise 2 is reasonable
    10·1 answer
  • Hit or miss<br><br> (giving away all points for this one)
    5·2 answers
  • Find the domain of y=\sqrt{3x-8}
    10·1 answer
  • Ciara brought $240.00 to spend on gigts for her family. She found 8 identical statures at a gift shop. She had $72 leftover. how
    7·1 answer
  • The equation of a circle is x^2+(y+4)^2=1<br> What are it’s center and it’s radius?
    5·1 answer
  • Plzzz help me with and i will give u a brainliest
    6·1 answer
  • 342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion
    7·1 answer
  • PLEASE HELP MEEEE READ AND ANSWER
    7·1 answer
  • 10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!