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
My teacher likes to give me stuff I haven’t learned
Answers
Answer:
haha same
Step-by-step explanation:
i think the answer is B
Answer:
hmm not so difficult
Step-by-step explanation:
I think it's B
PLEASEEEEEEE HELPPPPPPPPPPppp
Answers
Answer:
gstmhsiskgs sg sgw5ket5 l d
lines a and b are parallel If the slope of the line a is 1/4 . what is the slope of line b ?
Answers
The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.
Please help I'm in the test.
Answers
Answer:
d(t)=8cos((pi/12)t)
Step-by-step explanation:
I think this is correct...
A=8 b/c 40-24=16, 16/2 = 8
B=2pi/per, 2pi/24, B = pi/12
simplify(x^5^2/ x^2)
Answers
Answer:
x^23
Step-by-step explanation:
Cancel the common factor of x^5^2 and x^2
Factor x^2 out of x^5^2
(x^2) (x^5^2-2) / (x^2)
cancel common factors
x^25-2 = x^23
2x-3y=3
find the slope and y intercept
Answers
what is the value of 18-3 k ÷9 when k=4
Answers
Answer:
16.6666666667
Step-by-step explanation:
Answer: 50/3 or 16 2/3 or 16.67
Step-by-step explanation:
Given
18-3k÷9
Substitute [k] value into the given expression
18-3k÷9
=18-3(4)÷9 ⇒ Substitute the value
=18-12÷9 ⇒ Expand the parenthesis
=18-4/3 ⇒ First do division
=54/3-4/3 ⇒ Convert an integer into a fraction
=50/3=16 2/3=16.67
Hope this helps!! :)
Please let me know if you have any questions
1. To determine the most common injury cared for in an emergency room, a reporter goes to the same hospital every
afternoon for one month during the summer and observes people entering the emergency room. She concludes that
second degree sunburn is the most common injury.
Unbiased and Biased Samples
Answers
Answer:
Unbiased
Step-by-step explanation:
Your answer would be unbiased because the reporter is going in the same hospital every afternoon for one month which means that the reporter is using the Systematic sample and systematic is an unbiased sample
Select all the ratios that are equivalent to 8 : 6. *
4:3
6 to 8
16:12
10:8
7 to 5
Answers
Answer:
4:3 and 16:12
Step-by-step explanation:
for every 5 coins Carmen gets, she gives her brother Frankis 2 coins. If Carmen gets 9 coins, how many do her brother have?
Answers
Answer:
6 coins
Step-by-step explanation:
For every 5 coins Carmen recieves, she gives off 2 to her brother, leaving her with 3 coins, 3x3=9, 2x3=6
The 2 coins that Frankis get multiply by 3
I need help anyone plss :)
Answers
Answer:
Step-by-step explanation:
the following are true
1) yes
2)No
3)yes
4)yes
5)yes
6)no
Solve for
x
4
x
+
6
<
2
x
+
1
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
[tex] \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:inequalityequationPEMDASgiven:[tex] \text{4x + 6 < 2x + 1}[/tex]to find:[tex] \text{x}[/tex]tips and formulas:the direction of inequality does not change
when you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality does change
when you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sideslet's solve:
[tex]step - 1 : define[/tex]
[tex]4x + 6 < 2x + 1[/tex]
[tex]step - 2 : solve \: for \: x[/tex]
[tex] \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5[/tex][tex] \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5[/tex][tex] \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} [/tex]HELP
Erick spent $ 21.91, including sales tax, on 2 T-shirts and 3 pairs of socks. The t-shirts cost $ 6.75 each and the total sales tax was $ 1.03. Complete the table with the correct prices.
Answers
Answer:
t shirts were $6.75 each.
socks were $4.71 each
sales tax was $1.03
brainliest??... i took my time out to help u
Answer: So Im basicaly just replying to get points sorry
Look i sure someone will answer it soon good luck buddy I have faith in you
Step-by-step explanation:
आकत हा
(क) समीकरणों 2x+3y = 18 तथा. X-2y=2 का हल है।
Answers
Answer:
Y=-2/3x+6
y= 1/2x+ -1
No
Step-by-step explanation:
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
Answers
Simplify:
4y + (2y – 4)
Answers
hope that helps
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answers
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24Sixty-four teams entered a citywide soccer tournament. Half of the teams are eliminated after each round. Write a function for the number of teams left after x rounds.
Answers
Answer:
x = (64 ÷ 2) ÷ r
Step-by-step explanation:
x = teams
r = rounds
hope this helps :)
Answer:
f(x)=-1/2x+64
Step-by-step explanation:
a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64
Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level
Answers
marking brainliest!!
Answers
Answer:
A
Step-by-step explanation:
A is your answer because
the exponent is 2 for the two equations first u have to multiply your exponents and then you multiply your 4 and 3 from that u get your answer ,but answer is A
Hope this helps:)
Pls mark brainlist
Answer:
A) [tex]\sqrt{4^{2} +3^{2} }[/tex]
Step-by-step explanation:
One side is 4 cm, the other side of the triangle is 3 cm because you subtract 4 from the 7 length. To find hypotenuse, you do side 1 squared + side 2 squared.
Hope it helps!
One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F
Answers
Answer:
A.
Step-by-step explanation:
If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.
-3 - 15 = -18
Correct me if I end up being wrong.
Is 4 5/12 a rational number
Answers
Answer:
Nope! It's irrational.
it would be if it was 53/12 tho!
Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have
Answers
Answer:
2
Step-by-step explanation:
1/4= .25
1/8= .125
so 1/4÷ 1/8=2
[8-(-12)]÷(2x-2)-(-8)
Answers
Answer:
3
Step-by-step explanation:
you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.
Answers
Answer:
46 ft
Step-by-step explanation:
A = π×d²/4
d² = √4×A /π
= √4×1611.06 / 3.14
=√ 2116
= 46 ft
Answer:
46 feet squared
Step-by-step explanation:
A = π×d²/4
d² = √(4×A /π)
= √(4×1611.06 / 3.14)
= 2116
= 46 ft squared
9 and 7 find the length of the third side
Answers
Answer:
x = √130
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = 9
Leg b = 7
Hypotenuse c = x
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: 9² + 7² = x²[Hypotenuse] Rearrange: x² = 9² + 7²[Hypotenuse] Evaluate exponents: x² = 81 + 49[Hypotenuse] Add: x² = 130[Hypotenuse] [Equality Property] Square root both sides: x = √130Find the exact value of csc 5pi/6
Answers
Answer:
csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)
Step-by-step explanation:
csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.
csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]
but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]
Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305
bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony
when he returns 24 hours later?
Answers
Answer:
After next 24 hours, bacterial population would be [tex]1433[/tex]
Step-by-step explanation:
The initial bacterial count at time = 0 was [tex]100[/tex]
At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]
At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]
As we know that
[tex]P = P_0 * e^{rt}[/tex]
The growth rate of bacterial population is equal to
[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]
Substituting the above values we get -
[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]
Count of bacteria after next 24 hours
[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]
What is the area of the composite shape?
20 points and a brainlest
Answers
Answer:
257.
Step-by-step explanation:
seperate the shapes. we know that the side on the left upper corner is 7 because 29 - 22. The we find the other missing side, which is 26 - 21, 5. then we multiplt the first "box" to find the area, 21 x 7 = 147. Then the second box 5 x 21 = 110. Add the two, and you find your answer. 257
How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3
Answers
Answer:
it is one to the right and 5 up compared to its parent function.
Step-by-step explanation:
the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.
