The graph of y = 4x2 - 4x – 1 is show
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x – 1 = 0
Answers
Answer:
Here we have the equation:
y = 4*x^2 - 4*x - 1
And we should have the graph (you can see it below this answer)
Now we want to find the solutions of:
4*x^2 - 4*x - 1 = 0
These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.
Then we need to find the two values of x at which our graph intersects the x-axis.
In the graph, we can estimate the solutions as:
x = -0.2
x = 1.2
To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:
[tex]x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*4*(-1)} }{2*4} = \frac{4+ -\sqrt{32} }{8} = \frac{4 +-5.66}{8}[/tex]
Then the two solutions are:
x = (4 + 5.66)/8 = 11.2075
x = (4 - 5.66)/8 = -0.2075
Related Questions
Help please im new to this 6th grade math explain good pls
Answers
Answer:
0.6
Step-by-step explanation:
Given the trapezoid formula:
1/2(b1+b2/2)xH
We are given the numbers for the trapezoid:
0.3,0.9,1
To solve this here is what we are going to do.
1/2(0.9+0.3)x1
So add 0.9+0.3=1.2
Then Divide 1.2/2=0.6
So multiply 0.6 x 1=0.6
0.6 is your answer
A package of 5 pairs of insulated socks costs $.43.45 What is the unit price of the pairs of socks?
Answers
Answer:
i think the answer should be $8.69 but those socks r dang expensive
Step-by-step explanation:
What is the measure of x? 4 16 Z y х X= V? Enter the number that belongs in the green box. Enter
Answers
Answer:
√20
Step-by-step explanation:
16+4
=20
so√20
(i am not shour 100%)
Answer:<3
Step-by-step explanation:
x=8
I need help is this complementary supplementary or nither
Answers
Answer:
The answer is supplementary angles.
Step-by-step explanation:
Identify the angle pair as complementary or supplementary.
If one angle is 60 degrees and the other angle is 120 degrees.
First, add the two angles together to find the sum.
60 + 120 = 180
Then, identify which angle pair adds up to 180 degrees.
Supplementary angles
May I please have brainliest
PLEASE ANSWER
WILL ALSO MAKR BRAINLYEST
Please help, this is an easy question. Ive asked the same things a few times with very high point numbers but havent gotten a correct answer.
Seven friends accept the invitation to the twin’s birthday party. At the last minute, Tomas and Emilio learn that their neighbor also wants to attend. The twins realize that they can stay with their budget by buying different amounts of popcorn. ( small popcorn (serves 1) $4.50, medium popcorn ( serves 2) $5.75, and large popcorn ( serves 2-3 $6.50). Describe a different popcorn scenario that will allow the twins bring 8 friends, including their neighbor and stay within their budget ($200).
Answers
Answer:
You can by 8 of each item and you will still have money left over
Step-by-step explanation:
small=36
medium=52
large=52
that makes 134
The total cost of this scenario is $18 + $13 = $31.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
One possible popcorn scenario that will allow the twins to bring 8 friends and stay within their budget is:
Buy 2 small popcorns for $4.50 each. This will serve 2 people and cost $9.
Buy 3 medium popcorns for $5.75 each. This will serve 6 people and cost $17.25.
Buy 1 large popcorn for $6.50. This will serve 2 or 3 people and cost $6.50.
Now,
The total cost of this scenario is:
$9 +$17.25 + $6.50 = $32.75
This is less than their budget of $200 and will serve all 8 friends plus the twins themselves.
Another possible popcorn scenario that will work is:
Buy 4 small popcorns for $4.50 each. This will serve 4 people and cost $18.
Buy 2 large popcorns for $6.50 each. This will serve 4 to 6 people and cost $13.
$18 + $13 = $31
This is also less than their budget of $200 and will serve all 8 friends plus the twins themselves.
Therefore, by algebra the answer will be $31.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
A company makes two models of television.
Model A has a rectangular screen that measures 44 cm by 32 cm.
Model B has a larger screen with these measurements increased in the ratio 5:4.
Work out the measurements of the larger screen.
Answers
Answer:
16/25
Step-by-step explanation:
length of screen B=44*(5/4)=55cm
and its width=32*(5/4)=40cm
so, screen B had dimensions 55cm by 40 cm
screen A area=44*32 cm sqr
screen B area=55*40 cm sqr
so, model A screen area/model B screen area
=(44*32)/(55*40)
=16/25
Can someone please help me thank you
Answers
Answer:
whats the letter x number
Step-by-step explanation:
the graph of a system of linear equation is shown below
Answers
Answer:
B
Step-by-step explanation:
The scale on a map is 1 inch = 14 miles. The measurement between two cities on the map is 7 inches. What is the
distance between the two cities?
Answers
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
454
645
Answers
Answer:
312
Step-by-step explanation:
25+.15x=71.80
-25 -25
.15x=46.8
46.8/.15
x=312
Answer:
312 miles
Step-by-step explanation:
you have to subtract 25 from 71.80 which equals 46.80
then you have to divide 0.15 from 71.80 which equals 312
Do you like this masterpiece? ⭐️
Answers
A cone with a height of 8 inches and a radius of 6 inches was dilated using a scale factor of 2. Which
of the following statement is true?
Answers
Answer:
true yes sir
Step-by-step explanation:
Estimate the difference
5/9 - 3/8
Answers
Answer:
Este es el resultado de la preguntas 0.181555556
Answer:
13/72 i hope thats what your looking for
Step-by-step explanation:
What is 5/9 - 3/8?
What is 5/9 - 3/8?
Here's how to subtract 3/8 from 5/9:
5
9
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 5 by 8, and get 40.
Then we multiply 3 by 9, and get 27.
Next we give both terms new denominators -- 9 × 8 = 72.
So now our fractions look like this:
40
72
−
27
72
Step 2
Since our denominators match, we can subtract the numerators.
40 − 27 = 13
So the answer is:
13
72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
Video Player is loading.
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
No good. 17 is larger than 13. So we're done reducing.
There you have it! The final answer is:
13/72
whether you are writing a radio, TV, movie, or add script, it is a good idea to follow the correct _____.
a) format
b) theme
c) narration
d) imagined
e) visual
Answers
Answer:
a) format
Step-by-step explanation:
whether you are writing a radio, TV, movie, or add script, it is a good idea to follow the correct Format.
PLEASE HELP MEEEE! Don’t mind the highlighter haha
Answers
Answer:
c words words words words
Find the Surface Area of the figures below:
1)
2)
3)
10 cm
3
11 in
4 mm
4 in
11 mm
5 am
5 cm
17
Answers
There are two numbers which sum to 16. If one number is eight less than three times the other, find the numbers.
Answers
Answer:
The two numbers are 10 and 6.
Step-by-step explanation:
Let the two numbers be a and b respectively.
Translating the word problem into an algebraic equation, we have;
a + b = 16 .........equation 1
a = 3b - 8 .......equation 2
Substituting eqn 1 into eqn 2, we have
3b - 8 + b = 16
4b = 16 + 8
4b = 24
b = 24/4
b = 6
To find the value of a;
a = 3b - 8
a = 3(6) - 8
a = 18 - 8
a = 10
Therefore, the two numbers are 10 and 6.
Combine Like Terms 18f + 30fx Will Give Brainliest to correct answer
Answers
Answer: 6f (3+5x)
Step-by-step explanation:
18f + 30fx by its gcf
Answer:
6f(5x+3)
Step-by-step explanation:
18f+30fx
Factor out 6.
6(3f+5fx)
Consider 3f+5fx. Factor out f.
f(3+5x)
Rewrite the complete factored expression.
6f(5x+3)
how many whole numbers are between 39/7 and 44/3
Answers
Answer:
6
Step-by-step explanation:
6
Which expression is equivalent 2(a+4b)+5+7b+6
Answers
Answer:
2a+15b+11
Step-by-step explanation:
Simplify
Graph the following inequality?
Answers
Answer: that pic is the answer
Step-by-step explanation: the pic is the answer
4=∣11+3x∣
first to answer correctly gets brainliest
Answers
Answer:
x=-7/3
Step-by-step explanation:
im sorry idek how to explain
hope this helps :9
Answer:
Step-by-step explanation:
x=either -7/3
x=-5
Annie and lily share some money in the ratio of 2:3
Answers
Answer:
it would be 4:6
Step-by-step explanation:
It would be 4:6 because it is the same thing bu times 2
PLEASE HELP ME
6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b
Answers
I took the test
1. Allen had 12 goals on the season. If he
played in 8 games, how many goals did
he average per game? Round your answer
to the nearest hundredth.
A. 0.67
B. 1.5
C. 2.3
D. 3.2
WILL MARK Brainlyest
Answers
Answer:
B. 1.5
Step-by-step explanation:
12/8 = 1.5
Does anyone wanna help me?
Answers
Answer:
The correct answer is Lorenzo
If you only have a 1/4 cup measuring cup and a recipe calls for 2 3/4 cups of flour, how many 1/4 cups would you need to use?
Answers
Answer:
ANSWER FAILUREANSWER FAILUREM
#CarryOnLearning.
HURRY UP!!!
-100 = -t/5 - 4
please find t! (Explain aswell)
Answers
Answer:
[tex]t=480[/tex]
Step-by-step explanation:
Given
[tex]-100 = -\frac{t}{5} - 4[/tex]
Required
Solve for t
[tex]-100 = -\frac{t}{5} - 4[/tex]
Add 4 to both sides
[tex]4-100 = -\frac{t}{5} - 4+4[/tex]
[tex]4-100 = -\frac{t}{5}[/tex]
[tex]-96 = -\frac{t}{5}[/tex]
Multiply both sides by -5
[tex]-5*-96 = -\frac{t}{5} *-5[/tex]
[tex]-5*-96 = t[/tex]
[tex]480 = t[/tex]
[tex]t=480[/tex]
Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts
Answers
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
n+(n+1)+(n+2)+(n+3)+(n+4) = 5n+10 = 5(n+2)
Need help with this Geometry
Answers
Answer:
A vertical is an alignment in which the top is always above the bottom. It is a property of two or more points in which if a point is directly below the second point, and they are vertical to each other.
Step-by-step explanation:
pls brain list
Answer:
a) SAS
b) Not enough information
c) Not enough Information
d) SSS
Step-by-step explanation:
a) Its SAS because there are 2 angles on each side of an angle
b) Not enough information or SSA which the theorem doesn't exist
c) Not enough information, same as b
d) The tic marks represent sides and they are all side so SSS