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
blsea [12.9K]
3 years ago
11

The graph of y = 4x2 - 4x – 1 is shown.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

i) The approximate solutions are: x_{1} \approx -0.207, x_{2} \approx 1.207.

ii) The approximate solutions are: x_{1}\approx -0.5, x_{2} \approx 1.5.

Step-by-step explanation:

i) The best approach to estimate graphically the solution of 4\cdot x^{2} - 4\cdot x - 1 = 0 is graphing the following system of equations:

y = 4\cdot x^{2}-4\cdot x - 1 (1)

y = 0 (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: x_{1} \approx -0.207, x_{2} \approx 1.207.

ii) The best approach to estimate graphically the solution of 4\cdot x^{2} - 4\cdot x - 1 = 2 is graphing the following system of equations:

y = 4\cdot x^{2}-4\cdot x - 1 (1)

y = 2 (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: x_{1}\approx -0.5, x_{2} \approx 1.5.

You might be interested in
A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
irga5000 [103]
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
5 0
2 years ago
A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are
yKpoI14uk [10]
For every 5 cashews, there are 6 peanuts and 7 almonds.

Means:    Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews =    (5/18) * 270 = 75


Peanuts =    (6/18) * 270 = 90


Almonds =    (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts  -  90
5 0
3 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

Number of pineapples= 10

number of pears = 19

number of kiwis = 10 -2 = 8

Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

8 0
2 years ago
Read 2 more answers
Need help with 34-40
posledela

Answer:

This is the answer and I hope it helps. have a great time.

5 0
2 years ago
What are the measures of Angles d, e, and f? Show your work and explain your answers. (10 points)
Sholpan [36]

Answer:

Part A - Angle d is 29º

Part B - Angle e is 61º

Part C - Angle f is 95º

Part D - the box represents a 90º angle

Step-by-step explanation:

Angle d is 29º because of the vertical angles theorem

Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º

Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180

The box in the triangle is just a symbol indicating a 90º angle

6 0
2 years ago
Other questions:
  • The sum of 2 consecutive odd integers equals 12. What are they
    9·1 answer
  • What is the mass of a 3 cm cube of pine? (Reminder: The length, width, and height of a cube are all the same.)
    11·1 answer
  • Find (g*f)(3) <br> f(x)=|x+2|<br> g(x)=-x²<br> A -25<br> B 1<br> C 4<br> D -15
    5·1 answer
  • David drops a ball from the top of a building with a height of 64 feet.
    13·1 answer
  • What is the simplified form of i^13
    6·1 answer
  • Simplify (1+3i) + (2-5i)​
    6·1 answer
  • Is A mCA HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
    11·2 answers
  • Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
    14·1 answer
  • What does 3/8 + 7/8=
    6·2 answers
  • Mike is building a deck. the deck will be a rectangle with a longer side of 20 meters and a shorter side length of 6 meters. wha
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!