Answer:
Step-by-step explanation:
[tex]x=\frac{-(-9)\pm\sqrt{(-9)^2-4(2)(4)} }{2 \times 2} \\x=\frac{9\pm\sqrt{81-32} }{4} \\x=\frac{9\pm\sqrt{49} }{4} \\x=\frac{9 \pm 7}{4} \\either~x=\frac{9+7}{4} =\frac{16}{4} =4\\or\\x=\frac{9-7}{4} =\frac{2}{4} =\frac{1}{2}[/tex]
Which of the following is the graph of y = -2√x-3+2?
I presume you meant [tex]y=-2\sqrt{x-3}+2[/tex].
The graph is shown in the attached image.
A count of patients needing a blood transfusion in the emergency room at a city hospital would best be modelled by what
distribution?
A. geometric
B. continuous
C. normal
D. Poisson
The count of patients needing a blood transfusion can be modelled as a continuous distribution.
What is a continuous distribution?
A continuous distribution is a distribution that can take on an infinite number of possible values. A continuous distribution is not defined at specific values. The number of patients can be 1 or 10 or 50 or even 0.
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Please help
Follow the steps to find the area of the shaded region.
First use the formula below to find the area of the whole sector.
Sector Area= ( angle of sector/360). R2
Sector Area = ? Cm^2
Round to four decimal places.
14 cm
46°
14 cm
The area of the sector, to 4 decimal places, is: 78.6794 cm².
How to Find the Area of a Sector of a Circle?Area of sector = ∅/360 × πr².
Given the following:
∅ = 46°Radius (r) = 14 cmArea of sector = 46/360 × π(14²)
Area of sector ≈ 78.6794 cm²
The area of the sector is approximately 78.6794 cm².
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what are x and 8 in the linear equation? 8/x+5=50/25
A.One is variable and one is a coefficient
B.One is a constant and one is a coefficient?
C.Both are variables.
D.both are constants.
Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w). Kimberly starts one from seed but the package says it will grow 2 cm per week. How many weeks will it take for Kimberly’s plant to equal the height of Juliette’s?
A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width of the bedroom
Answer: Length = 13 ft. , Width = 9 ft.
Step-by-step explanation:
Rectangle area = Length x width
Area = 117 ft.
Length = x + 4
Width = x
To solve
(x)(x + 4) = 117
x^2 + 4x = 117
x^2 + 4x - 117 = 0
(x - 9)(x + 13)
x = 9, -13
x = 9 (measurement cannot be negative)
Length
x + 4
9 + 4 = 13
28.6% of city employees ride the bus to work.Last year,29.7% of city employees rode the bus to work.What is the relative change from last year to this year
The number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
28.6% of city employees ride the bus to work. Last year,29.7% of city employees rode the bus to work.
The relative change will be calculated as follows:-
Relative change = Present year data - Last year's data
Relative change = 28.6 - 29.7
Relative change = -1.1%
Therefore the number of employees taking the bus to an office is reduced by 1.1% from the last year. The relative change will be 1.1%.
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You invest $2100 in an account at 1.5% per year simple interest. The equation
that represents this scenario is:
A(n) = 2100 + (n-1)(0.0152100)
How much will you have in the account in year 6? Round your answer to the
nearest dollar.
OA. $2289
о C. $2258
D. $2132
B. $17,850
Answer:
My guess would be D
Step-by-step explanation:
urgent help algebra 2
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1
four big water bottles can hold 8 gallaons how much can 10 big water gallons hold
\frac{7}{4x}+\frac{5}{4x^2}
4x
7
+
4x
2
5
The expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
What is Expression ?Expression is a mathematical statement consisting of variables , constants and mathematical operators .
It is given in the question to solve the expression
[tex]\rm \dfrac{4x}{7} + \dfrac{5}{4x^2}[/tex]
Taking LCM , LCM = 28x²
[tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
Therefore the expression given can be written as [tex]\rm \dfrac{(16x^2 + 35 )}{28x^2}[/tex]
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supposed an individual has a body fat percentage of 17.5% and weighs 164 lbs. how many pounds of his weight is made up of fat? round your answer to the nearest tenth.
The amount of pounds of his weight is made up of fat is 28.7lbs
Percentages and valuesGiven the following parameters
Total weight of body = 164lbs
Percentage fat = 17.5%
Determine the amount made up of fat
Fat amount = 17.5% of 164
Fat amount = 0.175 * 164
Fat amount = 28.7lbs
Hence the amount of pounds of his weight is made up of fat is 28.7lbs
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1
Which equation is equivalent to 1/4 + x = -5/4? Select all that apply.
X= 6/4
X= -6/4
X=-1/4=-5/4
X=-3/2
X=-3/4
Answer:
1/4 + x = (-5)/4
x = -5/4 - 1/4
x = (-5)-1 /4
x = (-6)/4
which choices are equivalent to the expression 3 square root of 5
Answer:
6.708.
Step-by-step explanation:
hope this helps
Which of the following is the number if sides a polygon can have to form a regular tessallation?
A. 5
B. 9
C. 3
D. 7
None of the options is true.
Three Different, Regular tessellation is formed 1. if we join regular polygons of side 3, called equilateral triangle,2. Regular polygon of side 4, called Square, and 3. Regular polygon of side,6 called hexagon,
to form a pattern.
What is the polygon?A polygon is said to be regular if all interior angles and all sides are equal.
The regular polygon of side 3, when joined together can be named: 3.3.3.
The regular polygon of side 4, when joined together can be named 4.4.4.
The regular polygon of side 6, when joined together can be named 6.6.6.
So, a regular tessellation is formed, from a regular polygon having,3,4, and 6 Sides.
None of the sides of the polygon, which is given in the option, can be used to form a regular tessellation.
None of the options is true.
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e:f=3:7
f:g=2:3
Work out e:g in simplest form
The value of e:g is 2:7.
what is Ratio?A ratio indicates how many times one number contains another.
Given:
e:f=3:7
f:g=2:3
Now take LCM of 2 and 7 i.e., 14.
e/f= 3/7= 3*2/7*2= 6/14
and, f/g= 2/3= 2*7/3*7= 14/21
So,
e/g= e/f *f /g
= 6/14*14/21
= 6/21
e:g = 2:7
Hence, the value of e:g is 2:7.
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Steps for solving 5(2x-8)= 20 are shown.
5(2x-8)= 20
10x-40-20
10x-40+40-20 + 40
10x = 60
10x 60
10
10
X-6
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property
The one which is not part of the solution is option D. Using the commutative property.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
5(2x-8)= 20
By Using the distributive property
10x-40-20 = 0
Combining like terms
10x-40+40-20 + 40 = 0
Dividing both sides by 10 to isolate the variable
10x = 60
x = 6
Thus, we can see that all the options are included except option D.
So, the one which is not part of the solution is option D. Using the commutative property.
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The Pythagorean Identity states that: (sin x)^2 + (cos x)^2 = 1
Given cos 0 = 5/3, find sin 0
sin 0 = ?/?
Simplify the fraction.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:sin(\theta) = \cfrac{2}{3} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cos {}^{2} ( \theta) + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: {\bigg( \cfrac{ \sqrt{5}}{3} \bigg) }^{2} + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{5}{9} + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = 1 - \cfrac{5}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{9 - 5}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{4}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \sqrt \cfrac{4}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \pm \cfrac{2}{3} [/tex]
Generally, only positive value is taken :
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \cfrac{2}{3} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
For the data set 7, 5, 10, 11, 12, the mean, X, is 9. What is the standard
deviation?
Answer:
The standard deviation is about 2.915
Step-by-step explanation:
Answer:
= 2.9154759474227
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!
Answer:
option 4 and option 3 are the answers respectively
Answer:
[tex] \sqrt{ {2}^{3} } \\ \sqrt{3} \\ .............[/tex]
complete the pattern 2, 6, 21, 88, ...
Answer:
445
Step-by-step explanation:
I think it is 445 because each term is +1 and time is the number of terms you want to find.
So
(2+1) time 2 = 6
(6+1) time 3 = 7
(88+1) time 5 = 445
Simplify that a chemical is mxing two acid solutions one of 45% concentration and the other of 55% cencetration which of the following concentration could not be obtained
47 49 53 59
The concentration could not be 59.
What is concentration?
The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.
Given:
solutions one of 45% concentration
other of 55% concentration.
The concentration should lie between 45 % to 55 %.
This is because it is not possible to get a mixture concentration which is lower than the lower concentrated acid or higher than the higher concentration acid.
Hence, Mixture concentration must be between 45% and 55%.
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can u welp me?
tnx in advance
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer:
Figure Number 1.
Area of smaller square = [tex]\tt\underline{5cm}[/tex][tex]\tt{\times 5cm = }[/tex][tex]\tt\underline\green{25}[/tex] [tex]\tt{sq.cm}[/tex]
Area of bigger square = [tex]\tt{15cm \times}[/tex][tex]\tt\underline{ 15cm }[/tex][tex]\tt{=}[/tex] [tex]\tt\underline\green{225}[/tex] [tex]\tt{sq.cm}[/tex]
Total Area = [tex]\tt\underline\green{25sq.cm}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{225sq.cm}[/tex] [tex]\tt{=}[/tex] [tex]\normalsize \underline{\boxed{\tt \red{250}}}[/tex] [tex]\tt\underline{sq.cm}[/tex]
[tex]\\[/tex]
Figure Number 2.Area of square A = [tex]\tt\underline{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\underline\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{14m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{14m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{196}[/tex] [tex]\tt{sq.m}[/tex]
Total Area = [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{196}[/tex] [tex]\tt{=}[/tex][tex] \normalsize \underline{\boxed{\tt \red{294}}}[/tex][tex]\tt{sq.m}[/tex]
====================================
To find the area of square use this formula [tex]\large\tt{A = s \times s}[/tex]. Means side of the square multiply to the same side of the square
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
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૮₍´˶• . • ⑅ ₎ა
Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The parabola has roots at x=3 and x=-1, so its vertex is halfway between those points, at x=1, and so the y-coordinate of the vertex is -(1-3)(1+1)=4.
Another point that lies on the parabola is (-1, 0).
A
Choose the correct statement about best-fit lines.
a.
A best-fit line is close to most of the data points.
b. A best-fit line describes the exact coordinates of each point in the data set.
C.
A best-fit line always has a positive slope.
d. A best-fit line must go through at least two of the data points.
Please select the best answer from the choices provided
Α
B
C
D
Answer:
Your answer would be A.
Step-by-step explanation:
okay so, with a best fit line, it needs to match up with your points. unless your points go up evenly. its not going to connect to all your points.
Suppose that the total cost of flatiron TVs is given by the function TC(Q) = 500Q + 300 dollars, where Q is the number of TVs produced. Find TC(10).
The value of TC(10) is 5300 Dollars
Given function is TC(Q) = 500Q +300 dollars
We need to calculate the value for TC (10)
As we know that the equation given is TC(Q) = 500Q + 300 dollars
Q is the number of TVs produced
Therefore, The value of Q is 10 for TC(10)
Substituting the value of Q
in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,
TC(10) = 500(10)+300 dollars
∴ TC (10) = 5000+300 dollars
∴ TC (10) = 5300 dollars
Hence the value of TC(10) is 5300 Dollars
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y <2/3x + 3
y > 3/2x + 3
y > 2/3x + 3
y < 3/2x + 3
Answer:
The correct linear inequality is y<2/3x+3
Step-by-step explanation:
Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols
In the graph, the grey region corresponds to the region non-allowed by inequality. We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.
In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:
m=dy/dx
Choosing for example the points x=0 (which corresponds to y=3) and x=3 , we find
So, the equation of the line is y=2/3x+3
and so the correct inequality is
y<2/3x+3
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The inverse of the function f(x) = x + 10 is shown.
==
h(x) = 2x-0
What is the missing value?
01
05
O 10
O 20
Answer:
So, the answer is 20
Step-by-step explanation:
[tex]f(x) = \frac{1}{2} x + 10 = = = > \\ f(x) - 10 = \frac{1}{2} x = = = > \\ 2f(x) - 20 = x = = = > \\ {f}^{ - 1} (y) = 2y - 20 = = = > {f}^{ - 1} (x) = 2x - 20[/tex]
The missing value of the inverse function is 20.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of a function, we usually replace f(x) with y, then solve for x in terms of y, and finally replace y with the inverse function notation h(x).
So let's do that with the given function:
f(x) = (1/2)x + 10
y = (1/2)x + 10
2y = x + 20 (multiply both sides by 2 to isolate x)
x = 2y - 20 (subtract 20 from both sides)
Now we can replace x with h(x) and y with x to get the inverse function:
h(x) = 2x - 20
Thus,
The missing value is 20.
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Which statement is true?
A. The number 31 is prime, but 37 is composite.
B. The number 29 is prime, but 37 is composite.
C. The number 31 is prime, but 33 is composite.
D. The number 33 is prime, but 35 is composite.
Answer:
C
Step-by-step explanation:
A and B are wrong because 37 is prime. 31 is prime and 33 is divisible by 11 and 3 so C
James is paid $18 an hour at his new job. He wishes to graph his total pay T, as a function of the number of hours, h. James works between 25 and 40 hours each week. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least Choose... , and the h-axis of his graph should go from 0 to at least Choose... .
Answer
T-axis of his graph should go from 0 to at least 720, and the h-axis of his graph should go from 0 to at least 40.
Explanation
We know form our problem that is the total pay, is the number of hours, and $18 is the rate per hour, so putting it all into an equation we get:
We also know that James works between 25 and 40 hours each week, so we can replace the number of hours in our equation to get how much he can make per week:
- For
- For
Now we know that he can make between $450 and $720 working between 25 and 40 hours per week. So, to best show this information the T-axis should go from 0 to at least 720; otherwise, we won't be able to show values between $450 and $720. Similarly, the h-axis should go form 0 to at least 40; otherwise, we wont be able to show values between 25 and 40 hours.
