The graph of y = 4x2 - 4x – 1 is shown.
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x – 1 = 0
ii) 4x2 - 4x - 1 = 2

Answers

Answer 1

Answer:

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

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

Step-by-step explanation:

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

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 0[/tex] (2)

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

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

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 2[/tex] (2)

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

The Graph Of Y = 4x2 - 4x 1 Is Shown.Use The Graph To Find Estimates Forthe Solutions Ofi) 4x2 - 4x 1
The Graph Of Y = 4x2 - 4x 1 Is Shown.Use The Graph To Find Estimates Forthe Solutions Ofi) 4x2 - 4x 1

Related Questions

Solve the proportion 10/p+2 =4/3

Answers

Answer:

p=11/2

Step-by-step explanation:

there are algebra calculators

Can someone give me the answer and explanation

Answers

Answer: A

Step-by-step explanation:

The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.

A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?

Answers

Answer: 0.25 pound of beef are needed to make 80 meals.

Step-by-step explanation:

Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.

Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20

= [tex]\dfrac{5}{20}[/tex] pound

[tex]=\dfrac{1}{4} [\text{Divide numerator and denominator}][/tex]

=0.25 pound

Hence, 0.25 pound of beef are needed to make 80 meals.

30 is 1/10 of please tell and help me​

Answers

Answer:

i think 1/300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

30 is 1/10 of 300

Think of it this way:

What number do you have if you have 10 30's?

30 × 10 = 300

Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?

Answers

9514 1404 393

Answer:

 25/24

Step-by-step explanation:

Annie has 1 - 5/8 = 3/8 of the first pie left.

Annie has 1 - 1/3 = 2/3 of the second pie left.

The total fraction of pie left is ...

  3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left

Answer:

25/4

Step-by-step explanation:

........................

6x + 2(7x – 4) = 92 I T​

Answers

Answer:

x = 5

Step-by-step explanation:

6x + 2(7x – 4) = 92

simplify:

6x + 14x - 8 = 92

20x = 100

x = 5

Answer:

6x+2(7x−4)=92

Step 1: Simplify both sides of the equation.

6x+2(7x−4)=92

6x+(2)(7x)+(2)(−4)=92(Distribute)

6x+14x+−8=92

(6x+14x)+(−8)=92(Combine Like Terms)

20x+−8=92

20x−8=92

Step 2: Add 8 to both sides.

20x−8+8=92+8

20x=100

Step 3: Divide both sides by 20.

100

20

x=5

x > -6 what is this answer

Answers

Answer:

x>-6

Step-by-step explanation:

you can't solve any further if you don't know what "x" is

how are below 0, -10 and -20 related?

It's an emergency! PLEASE HELP​

Answers

Answer:

-10 is subtracted from each one starting from 0

hope it helps

Which expression is equivalento = 92 +12) +41 +62
- - -
BT2 = 10
13
32=5
131 - IS
ASAP

Answers

Answer:

i dont understand

Step-by-step explanation:

Suppose a car gas tank holds 21 gallons of gas. On a trip it uses 2/3 of a tank of gas on a trip. Then it uses 1/3 of what is left in the tank. How many gallons of gas are left in the tank? If u can could u show the work?

Answers

9514 1404 393

Answer:

  2/9 tank

Step-by-step explanation:

After the first trip, 1 -2/3 = 1/3 of the tank remains.

After the second trip, 1 -1/3 = 2/3 of that remains.

After both trips, (1/3 tank)(2/3) = 2/9 tank remains.

A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?

Answers

Answer:

45 cents

Step-by-step explanation:

What value of x will make the equation below true?
4.5x=18

Answers

4.5x=18

Divide both sides by 4.5 to isolate x.

x=4

how do i get 60% out of 60/100?

Answers

Answer:

Calculator 1: Calculate the percentage of a number.

For example: 60% of 100 = 60

Calculator 2: Calculate a percentage based on 2 numbers.

For example: 60/100 = 60%

HELP ME PLZ DUE TODAY PICTURE IS ABOVE

Which property is being demonstrated?

quotient of powers property
power of a product property
product of powers property
power of a quotient property

Answers

Answer:

A.

Step-by-step explanation:

We see a fraction. A fraction means a division, and the result of a division is called a quotient. We know we have a quotient.

We have two choices with "quotient."

A. quotient of powers property

D. quotient of powers property

We need to choose A or D.

A. quotient of powers means a division of powers. That is what we see with the fraction. A power in the numerator, and a power in the denominator. We have a division of powers, so it is a quotient of powers.

D. power of a quotient. This is take a fraction which is a quotient, and raise the entire fraction to an exponent. This is not what we have.

Answer: A.

classify and degree 2x+7​

Answers

Answer:

Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Step-by-step explanation:

If a vector gets multiplied by a negative number then its direction
A. remain same
B. gets reversed
C. gets half
D. gets double

Answers

Answer:

I believe it is B

Step-by-step explanation:

Answer:

B. gets reversed

Step-by-step explanation:

except that multiplying by a negative number will reverse the direction of the vector's arrow. For example, multiplying a vector by 1/2 will result in a vector half as long in the same direction, while multiplying a vector by −2 will result in a vector twice as long but pointed…

Can someone please help me with math

Answers

Answer is nonlinear.

. Cost. A circular terrace has a radius of 6 ft. If it costs $1.50 per square foot to pave the terrace with brick, what will the total cost be?​

Answers

Answer:

$169.65 is the total cost

Step-by-step explanation:

A= πr2= π·6(2)≈ 113.1

113.1 * 1.50 = 169.65


Give the number of terms:
cd + 3d2 – 2d

Give the number of terms

Answers

Answer:

3

Step-by-step explanation:

Given the expression

cd + 3d2 – 2d

We are to determine the number of terms

From the equation, the term so of the expression are cd, 3d^2 and -2d. From the listed functions, we can see that we only have three of them. Hence the number of terms in the expression is 3

Rewrite the number in standard notation.1 times 10^8 power

Answers

Answer: 1*10^8 is 100000000 or 10 followed by 8 zeros

10•10•10•10•10•10•10•10

What are the angles called pls help!

Answers

Angles 1, 3, 5, and 7 are obtuse angles.

Angles 2, 4, 6, and 8 are acute angles.

1) 1 and 3 are called obtuse.

3) 1 and 7 are also obtuse.

4) 4 and 6 are acute.

5) 4 and 8 are also acute.

hopes this helps a little bit :/

PLS HELPPPPP!!!!!!!!

Answers

Answer:

7) 7500m

8) 4cm

..........

Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that matches the one shown below, what must the value of C be?

Answers

Answer: Option B, C = 3.

Step-by-step explanation:

Here we have the function:

f(x) = A*cos(x - C)

A is the amplitude, and we can easily see that the amplitude is 2.

Then:

f(x) = 2*cos(x - C)

We also can see that when x = 0, f(x) ≈ -2

This means that:

cos(0 - C) ≈ -1

Cos(C) ≈ -1

Now we can just evaluate in the different options and see which one is the correct option.

Cos(1) = 0.54

Cos(2) = -0.42

Cos(3) = -0.99

Cos(4) = -0.65

The closer option to -1 is when C = 3, then the correct option is option B.

Answer:

B

Step-by-step explanation:

Just took the quiz

Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24)?

Answers

No

Because they are parralel

Solve the equation 5.5(x-3)=17+10.5

Answers

Answer:

x= 8

Step-by-step explanation:

5.5(x-3)=17+10.5

5.5x - 16.5= 27.5

5.5x= 44

x= 8

Answer:

x=8

Step-by-step explanation:

this is answer hdhshshshshshuebbdjidusgwbendjdihshe

Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.

(a) For each account, write an expression for the amount of money in the account after x months.

Amount of money in Chau's account (In dollars) =

Amount of money in Yoko's account (in dollars) =

(b) Write an equation to show when the two accounts would have the same amount of money.

Answers

Answer:

A1-60x+460

A2-50x+530

B-60x7+460

50x7+530

Step-by-step explanation:

A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.

B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.

You are at a restaurant. You are ordering a drink. You can choose small or large. Then you can choose between sprite, diet coke, coke, and dr pepper. How many choices or combinations do you have in total? How did you get that answer? What if now you had to choose lid or no lid? And straw or no straw? How many in total?

Answers

Answer:

so in all it's 4.

Step-by-step explanation:

1: for the drink size.

1: for the kind of drink you want.

1: for the lid or no lid.

1: for the straw or no straw

PLLLLLZZZZZ HHHELLP MEEEEEE

Answers

The answer will be 24 cuz the inequality sign means equal or less than. And 1/4x24=6 meaning it’s equal

Answer:

from what i remember it should be b≤24

Step-by-step explanation:

Use substitution to solve the system of equations.
5x + y = -24
x + 3y = -2
• A X=-5. y = -1
• B. x = 5, y = 1
• C. x=-5, y = 1
• D. x = 5, y = -1
o
B
OA
ОО
D

Answers

the answer should be C.x=-5,y=1

help with this ASAP please

Answers

Answer:

A'(3, 0)

B'(6, -1)

C'(2, -3)

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