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:
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].
Related Questions
What value of x will make the equation below true?
4.5x=18
Answers
Divide both sides by 4.5 to isolate x.
x=4
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.
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 :/
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.
help with this ASAP please
Answers
Answer:
A'(3, 0)
B'(6, -1)
C'(2, -3)
. 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
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.
PLLLLLZZZZZ HHHELLP MEEEEEE
Answers
Answer:
from what i remember it should be b≤24
Step-by-step explanation:
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
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.
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.
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
PLS HELPPPPP!!!!!!!!
Answers
Answer:
7) 7500m
8) 4cm
..........
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:
........................
Can someone please help me with math
Answers
Rewrite the number in standard notation.1 times 10^8 power
Answers
Answer: 1*10^8 is 100000000 or 10 followed by 8 zeros
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
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
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…
Solve the proportion 10/p+2 =4/3
Answers
Answer:
p=11/2
Step-by-step explanation:
there are algebra calculators
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:
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:
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
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
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:
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%
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
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
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
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