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
REY [17]
2 years ago
9

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS

Mathematics
2 answers:
goldfiish [28.3K]2 years ago
8 0

Answer:

Step-by-step explanation:

<u>Part A: the x-intercepts are -3/2 and 5/2 </u>

  • 4x^{2} - 7x - 15 -----> (2x + 3) (2x - 5)

2x + 3 = 0 --------> 2x = -3 ----------> x = \frac{-3}{2}

2x - 5 = 0 ---------> 2x = 5 -----------> x = \frac{5}{2}

<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>

f(x)=ax^2+bx+c

if a>0, then the parabola opens up and the vertex is a minimum

a<0 then the parabola opens down and the vertex is a max

  • a = 4, it is a minimum

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)

the y value of the vertex is f(-b/(2a))  

f(x) = 4x^{2} - 7x - 15

a = 4

b = -7

-b/2a=-(7)/(2*4)=7/8

f(7/8) = 4(7/8)^{2} - 7(7/8) - 15

f(7/8) = 49/16 - 49/8 - 15

f(7/8) = -289/16

  • the vertex is (7/8,-289/16)

<u>Part C: </u>

  1. the vertex is minimum and the graph goes through the x intercepts
  2. plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )

ANTONII [103]2 years ago
4 0

Answer: I can Confirm that the guy above me is correct!!

Step-by-step explanation:

You might be interested in
Which of the following is a nonlinear function?
Troyanec [42]

i think its C im half of one hundered % sure its that


7 0
3 years ago
Read 2 more answers
I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.
lina2011 [118]

Answer:

I usually explain even in the answer.

So we use som\sqrt{x}ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

<u>√26</u>

8 0
3 years ago
I need help please help me :(
Studentka2010 [4]

Answer:

IM SUCH AN INFLUENCER :D

Step-by-step explanation:

5 0
2 years ago
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Gnoma [55]

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

5 0
2 years ago
Read 2 more answers
Please answer asap!!!! will mark brainiest
Inga [223]

Answer:

x=2

Step-by-step explanation:

We know the only number that gets us back to 0 after subtracting 4 is 4, because 4-4=0. The square root of 4 is 2. Hope my explanation wasn't too confusing!

2²=4

4-4=0

3 0
3 years ago
Read 2 more answers
Other questions:
  • James has 24 shirts, 18 pairs of pants , and 16 pairs of shoes in his closet, but one oc the shirts is his favorite. How many co
    15·2 answers
  • GOOD AT GEOMETRY??? NEED BRAINLIEST AND POINTS?? YOU NEED MY HELP AND I NEED YOURS! ALL YOUR HELP IS APPRECIATED!!!
    12·2 answers
  • I have no clue what I’m doing can someone help me with number 5
    7·1 answer
  • Does this graph represent a function? Why or why not?
    7·1 answer
  • This tells you that the unknown number is multiplied by 3.
    7·1 answer
  • The width of a rectangular tank is x cm . It's height is 2/3 it's width and it's length is four times it's height .The volume of
    9·1 answer
  • Help on this question please
    13·1 answer
  • Draw an angle and then draw the opposite ray to one of its sides to form a linear pair. Find the measure of the angle formed by
    13·1 answer
  • EASY QUESTION??? HELP
    6·2 answers
  • Find the missing fraction __ -3/4=2/3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!