Answer:
x = ±i(√6 / 2)
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Solving quadraticsAlgebra II
Imaginary root i
√-1 = iStep-by-step explanation:
Step 1: Define
Identify
2x² + 3 = 0
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3[Division Property of Equality] Divide 2 on both sides: x² = -3/2[Equality Property] Square root both sides: x = ±√(-3/2)Simplify: x = ±i(√6 / 2)5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.
a) How long does it take to cover 1 km of road
b) How many metres of road does it cover in 8 hours?
Answer:
5 a) Total = 20.83 hrs = 20 hrs and 50 mins (1250mins total)
5 b) Total = 96 meters. = 0.096km in 8 hrs.
Step-by-step explanation:
1km = 1000 meters
5 mins = 4 meters
1000/4 = 250 multiplier
250 x 5mins = 1250 minutes
1250/60 = 20hrs + 50 minutes
50 / 60 = 0.83 = 20.83hrs
b) 8 hrs = 8 x 60 = 480 minutes
480/5 = 24 multiplier of 4 meters
24 x 4 = 96 meters
Convert 0.450 to a proper fraction
Answer:
9/20
Step-by-step explanation:
450/1000
this is not the answer, because it is not simplified
so here we have to find common factor and simplifying
________________________________________________
450/1000 is simplified to 9/20, and it can no longer be simplified.
Jean drove 67 miles per hour for a total of 469 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip.
469 = 67t
What is the constant of proportionality in the equation?
A.
7
B.
67
C.
469
D.
t
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Answer:
B. 67
Step-by-step explanation:
Miles are proportional to time at some speed. The constant of proportionality is the speed, 67 (miles per hour).
In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary. PLEASE HELP ASAP
Answer:
round answer is : 10 ft
Step-by-step explanation:
The explanation is in the picture!
[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .
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Answer:
0.02
Step-by-step explanation:
We assume your angle is in degrees:
3cot(30°)/230 = 3√3/230 ≈ 0.02259
≈ 0.02 . . . . . rounded to 2 decimal places
__
This is a straightforward calculator problem. You may have to use one or another of the identities ...
cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)
What is the volume of the cone
Answer:
The volume of this cone would be approximately equal to 2787.64 [tex]yd.^2[/tex].
Step-by-step explanation:
The formula used to calculate the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex] where [tex]r[/tex] represents the radius of the circle at the base of the cone, and [tex]h[/tex] represents the vertical height of the cone. In this case, [tex]r[/tex] equals the diameter of the base divided by two, which is [tex]\frac{22}{2}[/tex] or 11 yards; and [tex]h[/tex] is equivalent to 22 yards. Insert these values into the formula and you'll get that the volume of this cone is equal to [tex]11^2*\pi*\frac{22}{3} = 121\pi * \frac{22}{3}[/tex] ≈ 2787.64 [tex]yd.^2[/tex], so that is the correct answer.
Can someone do #4 and #5
Answer:
First, find two points on the graph:
(x₁, y₁) = (0, 2)(x₂, y₂) = (2, 8)Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3[/tex]
16 + (-3) = 16 - 3 = 13
Simplify: 6x^-2
a) 1/6x^2
b) 6/x^2
c) x^2/6
d) 1/36x^2
Answer:
The correct answer choice is option B. 6/x^2
Step-by-step explanation:
Answer:
6/x^2
Step-by-step explanation:
6 * x^-2
We know that a^ -b = 1/a^b
6 * 1/x^2
6/x^2
For spring break you and some friends plan a road trip to a sunny destination that is 2215 miles away. If you drive a car that gets 38 miles per gallon and gas costs $3.119/gal, about how much will it cost to get to your destination
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Answer:
$181.81
Step-by-step explanation:
(2215 mi)/(38 mi/gal)×($3.119/gal) = $181.8048
We round this up so that we have enough gas to get there. We don't want to have to walk the last 309 feet to the destination.
It will cost $181.81 to get to the destination.
alicia bought 205 pink and purple beads. she lost 3/5 of the pink beads and was given another 15 purple beads.
Answer: sorry
Step-by-step explanation:
767u6777
A car insurance company has determined that6% of all drivers were involved in a car accident last year. If14drivers are randomly selected, what is the probability of getting at most 3 who were involved in a car accidentlast year
Answer:
[tex]P(x \le 3) = 0.9920[/tex]
Step-by-step explanation:
Given
[tex]p = 6\%[/tex] --- proportion of drivers that had accident
[tex]n = 14[/tex] -- selected drivers
Required
[tex]P(x \le 3)[/tex]
The question is an illustration of binomial probability, and it is calculated using:
[tex]P(x ) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x \le 3) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3)[/tex]
[tex]P(x=0 ) = ^{14}C_0 * (6\%)^0 * (1 - 6\%)^{14-0} = 0.42052319017[/tex]
[tex]P(x=1 ) = ^{14}C_1 * (6\%)^1 * (1 - 6\%)^{14-1} = 0.37578668057[/tex]
[tex]P(x=2 ) = ^{14}C_2 * (6\%)^2 * (1 - 6\%)^{14-2} = 0.15591149513[/tex]
[tex]P(x=3 ) = ^{14}C_3 * (6\%)^3 * (1 - 6\%)^{14-3} = 0.03980719024[/tex]
So, we have:
[tex]P(x \le 3) = 0.42052319017+0.37578668057+0.15591149513+0.03980719024[/tex]
[tex]P(x \le 3) = 0.99202855611[/tex]
[tex]P(x \le 3) = 0.9920[/tex] -- approximated
Use the drop-down menu to create true statements,
If the graph of an inverse passes the
, you know that the inverse is
a function,
The composition of a function and its inverse is
always
DONE
DOWE
The range values of an inverse are the
values of the original function,
The graph of an inverse is the reflection of the
graph of the function over the line
DONE
DOWE
Answer:
A) Vertical test
B) y=x
C) x
D) domain
If the graph of an inverse passes the Vertical Line Test, you know that the inverse is a function.
What is Inverse Function?Inverse functions are functions which can be reversed in to another function.
Then the function is said to be the inverse of the second function.
The test which is used to know whether an inverse is a function or not is Vertical line Test.
So, if the graph of an inverse passes the Vertical Line Test, you know that the inverse is a function.
Composition of a function and it's inverse is always x.
Let y = f(x) be a function. Then x = f⁻¹ (y)
(f⁻¹of)(x) = f⁻¹ (f(x)) = f⁻¹ (y) = x
The graph of an inverse is the reflection of the graph of the function over the line y = x.
The range values of the inverse function are the domain values of the original function.
Hence the blank terms are found.
Learn more about Inverse of Functions here :
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Trish's punch recipe calls for 8 liters of lemon-lime soda and 4 liters of cranberry juice, Jenny's punch recipe requires 7
liters of lemon-lime soda and 6 liters of cranberry juice. Which recipe has a higher ratio of lemon-lime soda to cranberry
juice?
( A, neither, the ratios are equivalent
B. Trish's recipe
c. Jenny's recipe
D. not enough information
Pls if anyone knows the answer with work included/steps that will be greatly appreciated :) for 6 just want to know is it w y x or z
Answer:
Step-by-step explanation:
Let's begin calculating the MPH for Fran.: Joanne's MPH is 250 / 2.5 = 100 MPH.
Now I'm going to subtract the 100 MPH by Fran. going 10 MPH less: 100 - 10 = 90.
I can't see the bottom part of the graph, so based on the MPH, it might be X, if you could put a better picture it would be better!
PLEASE HELP AND BE CORRECT
(b⁷/4⁵)⁻³
= (4⁵/b⁷)³
= 4¹⁵/b²¹
Therefore answer is option b
Must click thanks and mark brainliest
Select all the correct answers.
Consider functions fand g.
f(x) = 4(x – 3)2 + 6
g(x) = -2(x + 1)2 + 4
Which statements are true about the relationship between the functions?
The vertex of function gis 4 units to the left of the vertex of function f.
The vertex of function gis 2 units below the vertex of function f.
Function gopens in the same direction as function f.
Function gopens in the opposite direction of function f.
The vertex of function gis 2 units above the vertex of function fi
vertex of function gis 4 units to the right of the vertex of function f.
Answer:
Step-by-step explanation:
f(x) = 4(x-3)² + 6
Up-opening parabola with vertex (3, 6)
g(x) = -2(x+1)² + 4
Down-opening parabola with vertex (-1,4)
A. True
B. True
C. False
D. True
E. False
F. False
The correct statements are:
"The vertex of function g is 4 units to the left of the vertex of function f.""The vertex of function g is 2 units below the vertex of function f.""Function gopens in the opposite direction of function f."Which statements are true about te functions?Here we have the two quadratic functions:
f(x) = 4*(x - 3)^2 + 6g(x) = -2*(x + 1)^2 + 4The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different sign. Meaning that f(x) opens upwards and g(x) opens downwards.
Now that we know the two vertices, we can see that the correct options are:
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function gis 2 units below the vertex of function f."
"Function gopens in the opposite direction of function f."
If you want to learn more about quadratic functions, you can read:
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Find the length of X
Answer:
[tex] x = 8\sqrt{2} [/tex]
Step-by-step explanation:
Leg = x
Hypotenuse = 16
[tex] x\sqrt{2} = 16 [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}} [/tex]
[tex] x = \dfrac{16\sqrt{2}}{2} [/tex]
[tex] x = 8\sqrt{2} [/tex]
find the sum of all multiples of 9 between 0 and 200
Answer:
I thick the answer is 2277
Jack’s backpack weighs 15 pounds. Fernando’s backpack weighs less than Jack’s. Which graph shows how much Fernando’s backpack can weigh?
Answer:
A
Step-by-step explanation:
c and d out of the question
b has its circle filled in meaning it could be 15lbs, which it's not
A correct answer by default
Answer:b
Step-by-step explanation: it has a filled in diamond which mean it's that...
please can anyone help me with this question what is the probability of the spinner landing on an even number.
how many pieces each 31/6 metres long can be cut fram a cloth 155/2 metres long ?
Answer:
?
Step-by-step explanation
my 4th person to ask a question
How to make my answer for 0.70 a fraction
Answer:
0.70 = 7/10
Step-by-step explanation:
Answer:
70/100 or 7/10 (Simplified)
Step-by-step explanation:
0.70 is basically .70 of 1. You can wrote this as a fraction, 70/100. If you divide 70 by 100, it gives you .70.
If you want to simplify it, it becomes 7/10, and if you divide 7 by 10, it also gives you 0.70.
Depends if you want your fraction simplified or not.
have a great day.
URGENT! WILL GIVE BRAINLIEST (PICTURE INCLUDED)
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Answer:
x > -1 and x ≠ 3
Step-by-step explanation:
The function value will be positive when there are an even number of negative factors. The factors change sign at x = -1, are zero at x = 3. The expression is positive for ...
x > -1 and x ≠ 3
Please I need the answer according to steps
Answer:
Factorise out x and y terms:
[tex]{ \tt{ = \frac{ {x}^{2} {y}^{4} (5x - 3y)}{45} }} \\ [/tex]
What is the domain of f(x) = 5^x - 7?
O {x|x>-7)
O {XIX<-7}
O {x|x>0}
O {x | x is a real number}
Step-by-step explanation:
{ x| x all real numbers}
The domain of f(x) = 5x – 7 will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
The domain of the function f(x) = 5ˣ - 7 is {x | x is a real number}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = 5ˣ - 7
The domain of the function is the set of all values of x such that the function is defined.
If we use any number for x, the function will be defined.
So the domain is the set of all real numbers.
So the correct option is last one {x | x is a real number}.
Hence the domain of the given function is {x | x is a real number}.
Learn more about Domain here :
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Can someone help me solve this problem ?
Answer:
B
Step-by-step explanation:
Since x= 3/4
To take the fraction on left hand side, inverse 4/3
Take π as denominator
Then cube root the entire equation on the left hand side.
Answer:
Step-by-step explanation:
According to this diagram, what is tan 62°?
62°
17
18
280
90°
15
O A.
8
17
OB.끝
O c. 1
8
15
D.
15
8
O
E.
17
15
F.
15
17
Answer:
15/8
Step-by-step explanation:
tan(62)=P/B
tan(62)=15/8
Which of the symbols correctly relates the two numbers below? Check all that
apply.
45 ? 45
A. >
B. 2
DC.s
D. =
DEZ
OF. <
Answer:
D. =
Step-by-step explanation:
Because 45 and 45 are the same number so they equal the same value
Answer:
Step-by-step explanation:
Answer B C D
A 90% confidence interval is (35 45). What is the margin of error?
A. 5
B.4.5
C.9
D.10
Answer:
option A 5
I hope it's correct
.....
Simplify the following expression
Answer:
[tex]\frac{98p^{6}}{q}[/tex]
Step-by-step explanation:
Distribute the exponents
[tex](\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}[/tex]
[tex](\frac{q}{98p^{6}} )^{-1}[/tex]
Distribute the -1
[tex]\frac{98p^{6}}{q}[/tex]
