Answer: x=-1/4 and x=-1
Step-by-step explanation:
The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.
The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.
The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:
a=4
b=5
c=1
Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.
Solution 1: addition
[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex] [square root]
[tex]x_1=\frac{-5+3}{8}[/tex] [add]
[tex]x_1=\frac{-2}{8}[/tex] [divide top and bottom by 2]
[tex]x_1=-\frac{1}{4}[/tex]
Solution 2: subtraction
[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex] [square root]
[tex]x_2=\frac{-5-3}{8}[/tex] [subtract]
[tex]x_2=\frac{-8}{8}[/tex] [divide]
[tex]x_2=-1[/tex]
I am not able to find the answer choices, but we know that x=-1/4 and x=-1.
The vertices of a convex pentagon are $(-1, -1), (-3, 4), (1, 7), (6, 5)$ and $(3, -1)$. What is the area of the pentagon
On solving the provided question, we can say that vertices of pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1); Area = 30 sq unit
what is a pentagon?A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.
vertices of a convex pentagon are (-1, -1), (-3, 4), (1, 7), (6, 5) and (3, -1).
Area = 1/2 [ 24+3+15+0-3] - [3-30-3+9-0]
Area = 1/2| 60 |
Area of pentagon = 30 sq unit
To know more about pentagon visit:
https://brainly.com/question/17054992
#SPJ4
Find the volume of the given solid.
Bounded by the coordinate planes and the plane
6x + 7y + z = 42
The volume of the given solid is equal to the triple integral of 1 over the region bounded by the coordinate planes and the plane 6x + 7y + z = 42. This can be written as:
[tex]$\iiint 1\, dV = \iiint 1\, dx\, dy\, dz$[/tex]
The region of integration is bounded by the coordinate planes x = 0, y = 0, and z = 0, and the plane 6x + 7y + z = 42. This is a right triangular prism with vertices (0,0,0), (6,0,0), and (0,6,42). To calculate the volume, we will use the triple integral in cylindrical coordinates, which can be written as:
[tex]$\iiint 1\, dV = \int0^{2\pi}\int0^6\int_0^{42/7} r\, dz\, dr\, d\theta$[/tex]
The volume of the given solid is given by:
[tex]$\frac{504\pi}{7}$[/tex]
Learn more about Coordinate plane here:
https://brainly.com/question/27813174
#SPJ4
(PLEASE HELP)
what is the value of the x-coordinate of point p?
Answer:
x- coordinate of P is - 6
Step-by-step explanation:
The coordinates of any point in the form of an ordered pair (x, y )
Point P has coordinates P (- 6, 2 )
Answer:
- 6Step-by-step explanation:
Every point has two coordinates
the first is x-coordinate (we read it from X-axis)
the second is y-coordinate (we read it from Y-axis)
coordinates of poin P: (-6, 2)
so, the x-coordunate of point P is -6
I don’t know this question
help me
The number of groups of like terms is 3
What is an algebraic expression?An algebraic expression is defined as an expression made up of terms, variables, coefficients, constants, and factors.
These algebraic expressions are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketParenthesesMultiplication, etcA term can be described a single variable, number or numbers and variables that are multiplied together.
From the information given, we have the terms;
3x¹³, 9x¹⁰, -1x¹³, -16x¹³, 3x¹⁰, 3¹³, 10x¹⁰, 13x¹⁰
The similar terms are;
3x¹³, 3x¹⁰, 3¹³
Hence, the number is 3
Learn more about terms here:
https://brainly.com/question/7882626
#SPJ1
the perimeter of a right triangle is 24 ft, and one of its legs measures 6 ft. Find the length of the other leg and the hypotenuse.
a) 6 ft, 12ft
b) 5 ft, 13 ft
c) 8 ft, 10 ft
d) 7 ft, 11 ft
Answer:
Step-by-step explanation:
We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).
By pythagoras we know that
[tex]h^2= a^2+b^2.[/tex]
and the perimeter is [tex]P=h+a+b[/tex].
Since P=24 and a=6 we have these equations:
[tex]h^2=36+b^2\\24=h+6+b[/tex]
From the last equation we have [tex]h=18-b[/tex]. Replace h in the first equation we get that
[tex](18-b)^2=36+b^2[/tex]
[tex]18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8[/tex]
and h=18-8=10
A sequence begins with 2. Each term is calculated by multiplying the previous term by −1, then subtracting 3.
Which answer correctly represents the sequence described?
a) {2,−5,2,−5,…}
b) 2,−5,2,−5,…
c) 0,−3,0,−3,…
d) {0,−3,0,−3,…}
The sequence is going to be {2,−5,2,−5,…}. Since we can see that options A and B are one and the same, the correct answer is options A and B.
A sequence is a successive arrangement of two or more things that are constructed on the basis of a given formula.
Here, the first term is = 2
Each previous term has been multiplied by = -1
And then, it has been subtracted by = 3
So, following the formula given, we conclude that the second value will be = 2×(-1)-3 = -5
Similarly, the formula is going to be applied to the second term now which is -5, and then the third term is going to be = -5×(-1)-3 = 2
In this fashion, we can make the sequence. Options A and B is the correct answer.
Learn more about sequences on
https://brainly.com/question/21961097?referrer=searchResults
#SPJ4
PLEASE HELP ME WITH THIS QUESTION, ILL BRAINLIEST YOU
Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) 3x 8 (a) f(x+h) - (b) f(x+h)-f(x)= (c) ixth-fx). Submit Answer
Answer is 3h after simplification.
What is function?Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.
What is the value of function?
given, a function. f(x) = 3x -8
if we want to write x + h instead of x
then the function will be f(x + h) = 3(x + h) - 8
f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)
f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8
f(x + h) - f(x) = 3(x + h) - 3x
f(x + h) - f(x) = 3x + 3h - 3x
f(x +h) - f(x) = 3h
hence, the above is the result.
To know more about function visit:
https://brainly.com/question/23919020
#SPJ4
A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?
Answer: To write an equation
y= 7x+38
Answer:
A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?
would this be sin, cos, or tan?
Answer:
sin
Step-by-step explanation:
its opposite over hypotenuse
Answer:
it should be sin
hope this work
Question 17
Galle bought a purse for $22.50. Gale's thend Brenda saw the purse and said she would give Gale $35 if Gale would sell her the new purse right then.
mely how much profit as a percent did Gale make from selling the purse to Brenda?
A.35.7%
B.55.6%
C.64.3%
D.155.6%
So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%
What is profit and loss?Profit and Loss is a financial statement that shows a company's revenue, costs, and expenses over a certain period of time, such as a month or a year. The purpose of a P&L statement is to show the company's financial performance and to determine whether the company is making a profit or incurring a loss.
What is Profit Percentage?The proportion that the retailer makes after selling a good at a price greater than its cost is the product's profit margin. P% indicates it.
Profit Percentage P% = {(selling price – cost price) / cost price} x 100.
The selling price of the purse is $35 and the original cost of the purse is $22.50. So the profit is $35 - $22.50 = $12.50
Profit as a percent = (Profit / Original cost) * 100
Profit as a percent = ($12.50 / $22.50) * 100 = 55.6%
So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%
To learn more about Loss visit:
https://brainly.com/question/15060322
#SPJ1
5. Emmanuel makes 82,000 as a software designer. Use the follow tax chart to find what he will pay in taxes this year.
A. 4925
B. 5456
C. 1245
D. 3426
Find the nth term of the following sentence
-5,-2,3,10,19
On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
what is arithmetic sequence?Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
To know more about arithmetic sequence visit:
https://brainly.com/question/29616017
#SPJ1
What is 789+765-98-332-3
Find the area of a circle with a diameter of 16 meters. Round your answer to the nearest hundredth of a square meter.
Answer:
201.00
Step-by-step explanation:
how do i solve this problem 5.50h=44
Answer:
h = 8
Step-by-step explanation:
5.50h=44
Divided both sides by 5.50
h = 8
Let's check
5.50(8) = 44
44 = 44
So, h = 8 is the correct answer!
In a class of 50 students, 9 students play both soccer and basketball. A total of 21 students play basketball, and 15 students do not play soccer or basketball. How many students play only soccer?
Answer:
14 students
Step-by-step explanation:
15 do not play any.
50-15=35
21 students play basketball.
35-21=14
14 students play only soccer
8. What are the measures of angle a b and c?
Answer:
a = 45
b = 105
c = 30
Find the missing value indicated in the diagram
Answer:
80
Step-by-step explanation:
6 x/11 ➕1
What does x equal
X is 55 after rearranging the equation given
The ratio of the measures of three sides of a triangle is 1/4:1/3:1/6. its perimeter is 31.5 inches
Answer:
10.5 inches, 14 inches, 7 inches
Step-by-step explanation:
Let's say x is the multiplier of the ratio value and the actual length of the sides:
1/4 * x = side 1
1/3 * x = side 2
1/6 * x = side 3
Since the perimeter is the sum of all sides, the perimeter is equal to:
31.5 = 1/4 * x + 1/3 * x + 1/6 * x ==> 31.5 inches is the perimeter
(31.5 = x/4 + x/3 + x/6)*12 ==> multiply the equation by 12 since 12 is the
LCM (Least Common Multiple) of 4, 3, and 6
12 * 31.5 = 12 * x/4 + 12 * x/3 + 12 * x/6 ==> multiply each term by 12
378 = 12x/4 + 12x/3 + 12x/6 ==> simplify
378 = 3x + 4x + 2x
378 = 9x
x = 378/9 ==> divide both sides by 9
x = 42
Now find each side length [Refer to the first three equations] :
Side length 1: 1/4 * 42 = 42/4 = 10.5 inches
Side length 2: 1/3 * 42 = 42/3 = 14 inches
Side length 3: 1/6 * 42 = 42/6 = 7 inches
Answer: 10.5 inches, 14 inches, 7 inches
To learn more about LCM, click here:
https://brainly.com/question/19307065
A solid box with height 90cm, width 60cm and length 30cm needs to be painted.
The paint costs £0.03 per cm2.
How much will it cost to paint the box?
Step-by-step explanation:
Area = 2LH + 2LW + 2WH
= 2(LH + LW + WH)
=2(30*90+30*60+60*90)
=2(2700+1800+5400)
=2(9900)
=19800cmsquare
Therefore to paint the solid box it will cost
0.03 * 19800
= £594
Find the difference quotient of the exponential function, f(x) = e^x
Answer:
Step-by-step explanation:
The difference quotient in general looks like
[tex]\frac{f(x+h)-f(x)}{h}[/tex] Sometimes the symbol "delta x" [tex]\Delta x[/tex] is used instead of h.
For the exponential function, the difference quotient is
[tex]\frac{e^{x+h}-e^x}{h}[/tex]
Answer:
For those who dont want to read, its A.
Step-by-step explanation:
Edge 2021
Can someone please help me
Answer:
52m
Step-by-step explanation:
Seperate each place into its own section
Multiply each section
Add the product you get from each section
Is a square root of 10 closer to 9 or 16?
Answer:
9.
Step-by-step explanation:
The square root of 10 is approximately 3.16 so it would be closer to 9.
Simplify 1/6x+3/4(1/2x−4)
Answer:
13/24x - 3
Step-by-step explanation:
Hope this helps!
The simplified form of expression 1/6x+3/4(1/2x−4) is 7/24x-3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 1/6x+3/4(1/2x−4)
One by six times of x plus three by four times of one by to of x minus four.
Apply distributive property to remove the parenthesis
1/6x+3/4(1/2)x-3/4(4)
1/6x+3/8x-3
The LCM of 6 and 8 is 24.
4x+3x-72/24
Add the like terms in the above expression.
7x/24-72/24
7x/24-3
Hence, the simplified form of 1/6x+3/4(1/2x−4) is 7/24x-3.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42
Answer:
b is 256 c is 48
Step-by-step explanation:
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
WILL GIVE 100 POINTS!
A. g(-4) = -11
B. g(7) = -1
C. g(0) = 2
D. g(-13) = 20
Answer:
D. g(-13) = 20
Step-by-step explanation:
Given information:
Domain: -20 ≤ x ≤ 5Range: -5 ≤ g(x) ≤ 45g(0) = -2g(-9) = 6Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.
Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.
Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.
Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.
Heather deposits $500 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first years?
click the image for the question someone pls help i suck at algebra ill love u forever <3‼️
Answer:
$ 30,000
Step-by-step explanation:
c = 300 ³√n²
= 300× ³√1000²
= 300× 100
= 30,000
Answer: $30000
Step-by-step explanation:
[tex]300\sqrt[3]{n^2}[/tex]
[tex]300\sqrt[3]{1000^2}[/tex]
[tex]300\sqrt[3]{1000000}[/tex]
300 × 100 = 30000