Which of the number line graphs shows the solution set of |x – 2| > 3? Question 6 options: A) image B) image C) image D) image
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x+2y > 4x+2y>4
we know that
The solution of the inequality is the shaded area above the dashed line
The equation of the line is
x+2y = 4x+2y=4
Find the x-intercept
For y=0y=0
x+2*0 = 4x+2∗0=4
x=4x=4
The x-intercept is the point (4,0)(4,0)
Find the y-intercept
For x=0x=0
0+2y = 40+2y=4
2y=42y=4
y=2y=2
The y-intercept is the point (0,2)(0,2)
therefore
The graph in the attached figure
Related Questions
HELP!! what is 10x+18<−2
Answers
Answer:
The answer is x<-2 :)
Step-by-step explanation:
The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following.
\(p(t) = 4096 - 1269cos(\frac{2\pi }{11} t)\)
In this equation, p(t) represents the total population size and t is the time (in years). Suppose we start at t = 0 years.
During the first 11 years, when will the population size be 4700?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a year. (If there is more than one answer, enter additional answers with the "or" button.)
There are two answers
Answers
Solving the trigonometric equation, it is found that during the first 11 years, the population size will be of 4700 in 3.62 and 7.24 years.
What is the trigonometric equation for the population?It is given by:
\(p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}\)
It will be of 4700 when p(t) = 4700, hence:
\(p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}\)
\(4700 = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}\)
\(604 = - 1269\cos{\left(\frac{2\pi}{11}t\right)}\)
\(\cos{\left(\frac{2\pi}{11}t\right)} = -\frac{604}{1269}\)
\(\cos{\left(\frac{2\pi}{11}t\right)} = -0.47596532702\)
\(\cos^{-1}{\cos{\left(\frac{2\pi}{11}t\right)}} = cos^{-1}{-0.47596532702}\)
Then:
\(\frac{2\pi}{11}t = 2.06685766\)
\(t = \frac{11 \times 2.06685766}{2\pi}\)
\(t = 3.62k, k = 1, 2, ...\)
Thus:
t = 3.62 x 1 = 3.62
t = 3.62 x 2 = 7.24.
The population size will be of 4700 in 3.62 and 7.24 years.
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Identify the steps followed to solve the equation 5 - 3 (x+3) = 11 - 8x
Answers
Answer:
Everything looks right except the first one which is Distributive Property.
Step-by-step explanation:
multiplying out - 3(x - 3) is considered distributive property as you are distributing the -3 to the x and the 3.
-3 * x = -3x and -3 * 3 = -9
Calculate the infant mortality rate (per 1,000 live births) from the following data:________.
Number of infant deaths under 1 year in the United States during 1991 = 36,766
Number of live births during 1991 = 4,111,000
How did the infant mortality rate in 2013 compare with the infant mortality in 1991?
Answers
Answer:
Between 1991 and 2013, the infant mortality rate in the United States declined from 8.943% to 5.708 %
Step-by-step explanation:
From the information given:
The number of infant deaths under 1 year in the United States during 1991 = 36,766
The number of live births during 1991 = 4,111,000
\(Infant \ mortality \ rate \ in \ 1991 = \dfrac{Number \ of \ deaths \ under \ 1 \ year}{Total \ number \ of \ live \ births \ in \ 1991} * 1000\)
\(Infant \ mortality \ rate \ in \ 1991 = \dfrac{36766}{4111000} * 1000\)
Infant mortality rate in 1991 = 8.943%
From the data of year 2013 in the United States Record, 23,446 infants died under one year
\(Infant \ mortality \ rate \ in \ 1993= \dfrac{23,466}{4111000} * 1000\)
Infant mortality rate in 1993 = 5.708 %
Between 1991 and 2013, the infant mortality rate in the United States declined from 8.943% to 5.708 % which is approximately 3%
Answer:
8.94 (mortality per 1,000 live births)
Step-by-step explanation:
Given;
Number of infant deaths in 1991 = 36,766
Number of live births during 1991 = 4,111,000
The infant mortality rate = Number of infant deaths ÷ Number of live births
The infant mortality rate (per 1,000 live births)
R = Number of infant deaths/Number of live births × 1000
Substituting the given values;
R = 36,766/4,111,000 × 1000
R = 0.00894 × 1000
R = 8.94 (mortality per 1,000 live births)
For 2013;
There's no data given for 2013.
It will follow the same procedure;
The infant mortality rate (per 1,000 live births) in 2013;
R2 = Number of infant deaths in 2013 Nd/Number of live births in 2013 Nb × 1000
R2 = Nd/Nb × 1000
Peter Pan works at the Stay Young Factory mixing the “Don’t Grow Up” formula. He is combining chemical A which costs $5.10 an ounce and chemical Z that has a price of $2.10 an ounce. The formula weighs 5 ounces and costs $3.60 per ounce. Peter Pan made the table below to help determine the amount of each chemical for the mix. What is the missing number in the table?
Answers
18
Explanation
Step 1
let
x represents the amount of chemical A ( in ounces)
y represents the amount of chemical B ( in ounces)
as the weigth of the formula is 5 ounces
\(x+y=5\rightarrow equation(1)\)so, if the cost of Chemical A is $5.1 per ounces, the total cost of the chemical A is
\(The\text{ cost of the chemical A=5.1x}\)and if the cost of Chemical Z is $2.1 per ounces, the total cost of the chemical Z is
\(The\text{ cost of the chemical Z=2.1y}\)now, the cost of the formula will be
\(\begin{gathered} Cost\text{ of chemical A+cost of chemical Z= cost of the formula} \\ 5.1x+2.1y=Cost\text{ of the formula} \end{gathered}\)Step 2
we are told the weigh of the formula is 5 ounces and it cost $3.6 per ounces, so the total cost of the formula is
\(\begin{gathered} \cos t\text{ of the formula= rate}\cdot amount\text{ of ounces} \\ \text{Total cost of the formula=3.6 }\frac{dollars}{\text{ounces}}\cdot5\text{ ounces} \\ \text{Total cost of the formula=}18\text{ dollars} \end{gathered}\)now, replace.
\(\begin{gathered} 5.1x+2.1y=Cost\text{ of the formula} \\ 5.1x+2.1y=18 \end{gathered}\)so, the missing value in the table is 18
I hope this helps you
(Will give brainlist ) please hurry
Question 3(Multiple Choice Worth 5 points)
(Experimental Probability MC)
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 purple socks from the bag with replacement is one fifth. If the experiment is repeated 225 times, what is a reasonable prediction of the number of times he will select 2 purple socks?
45
10
5
one fifth
Answers
Answer:
Step-by-step explanation:
one fifth
WILL MARK BRAINLIEST IF CORRECT
Answers
Answer:
answers below
Step-by-step explanation:
opposite angles are equal
angles can and mat are opposite
18x-1 = 15x+20
3x = 21
x=7
angle can = 53
angle mac = 180-53 = 127
angle mat = 65
angle tan = 180-65 = 115
Which expression is the factored form of x2-7x+10
Answers
Answer:
\(\boxed{ (x - 2)(x - 7)}\)
Step-by-step explanation:
Hey there!
To factor,
\(x^2-7x+10\)
We need 2 numbers that multiply to get 10 and add to get -7 which is,
-2 and -5.
-2*-5 = 10
-2x + -5x = -7x
x*x=x^2
Factored - (x - 2)(x - 7)
Hope this helps :)
A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?
Answers
Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
Hispanic female;A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."
The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:
1 / 750 = 0.001333
This means that for every 750 Hispanic females, one is expected to have the disease.
To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:
0.001333 * 26,000 = 34.658
So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
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Find the sum of 9x^2+5x+8 and 9x-7
Answers
Answer:
\(9x^2+14x+1\)
Step-by-step explanation:
Hey there!
In order to find the answer to this problem, we must first form an equation; then we can solve/simplify it further
Our Equation:
----------------------------------------------------------------------------------------------------------
\((9x^2+5x+8)+(9x-7)\)
1. Distribute the positive sign: positive and positive make positive, positive and negative make negative, negative and negative make positive
\(9x^2+5x+8+9x-7\)
2. Combine like terms in each parenthesis: This means combining the x values and the constants.
\(9x^2+14x+1\)
----------------------------------------------------------------------------------------------------------
This means that when you add the two given values, the answer you get is: \(9x^2+14x+1\)
What is the value of x?
Enter your answer in the box
Answers
Answer:
x = 80
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
70 + 30 + x = 180
100 + x = 180 ( subtract 100 from both sides )
x = 80
Please helppppp Math
Answers
Answer:
im pretty sure the top one
Step-by-step explanation:
A line passes through the point (6, -4) and has a slope of - 4/3
Write an equation in point-slope form for this line.
Answers
Answer:
y--4=-4/3(x-6)
Then, y+4=-4/3(x-6).
Please help by tomorrow
Answers
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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Is my answer correct or incorrect? True or false
Answers
Answer:
Youre correct
Step-by-step explanation:
Answer:
it is true
Step-by-step explanation:
The temperature at 5 a.m. was −7.4°C. By 9 a.m., the temperature was −4.7°C. How much warmer was the temperature at 9 a.m.?
Answers
Answer:
2.7°C.
Step-by-step explanation:
If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.
Proof:
-7.4
-4.7
--------
2.7
Find the solution to the system of equations represented by the matrix shownbelow.83-161E441371-63ХUse the operation buttons to start solving
Answers
The solution to the system of equations represented by the matrix is (x, y, z) = (6, 7, 6).
Maybe your matrix is ...
\($\left[\begin{array}{ccc|c}3 & -1 & 7 & 53 \\ 1 & 7 & 1 & 61 \\ 9 & 1 & 1 & 67\end{array}\right]$\)
A calculator can tell you the solution is ...
(x, y, z) = (6, 7, 6)
The third variable in systems of equations with more than two variables can be defined in terms of the other two (as for solution by substitution). This can be used to create two equations with two unknowns by substituting it into the remaining equations. The value of the third variable can then be determined using that answer. The use of this technology is demonstrated in the attached.
The last equation served as a definition, which was then applied to the first two equations. An algebraic solution can be solved using the same strategy.
The answer is (x, y, and z) = (6, 7, 6).
Complete question: Find the solution to the system of equations represented by the matrix shown below. 3 -1 7 53 1 7 1 61 9 1 1 67
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can i get help with these 6 questions
Answers
Answer:
Question 21
∠PQS = 22°∠PQR = 44°Question 22
∠ABC = 47°∠CBD = 47°Question 23
∠ABD = 35°∠DBC = 35°∠ABC = 70°Step-by-step explanation:
When the question says a line bisects an angle which means that this line is cut exactly at the centre of an angle so both angles will be the same :
Question 21,
\(∠PQR = ∠SQR\)
\(∠PQS = 22°\)
\(∠PQR = ∠PQS + ∠SQR\)
\(∠PQR = 22 + 22 = 44°\)
Question 22,
\(∠ABD = 94°\)
\(∠ABC = ∠CBD = 94 \div 2 = 47°\)
Question 23,
\(∠ABD = ∠DBC\)
\(x + 15 = 4x - 45\)
\(4x - x = 15 + 45\)
\(3x = 60\)
\(x = 60 ÷ 3 = 20°\)
\(∠ABD = 20 + 15 = 35°\)
\(∠DBC = 4(20) - 45 = 35°\)
\(∠ABC = ∠ABD + ∠DBC = 35 + 35 = 70°\)
(4x-10) x (3x²)
Find the area of the rectangle
Answers
If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).
How to find the area of rectangle?The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.
A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.
Area of rectangle = length × breadth
= (3x +2) × (4x +10)
simplifying the above equation, we get
= (3x) × (4x +10) + 2(4x +10)
= 12x² + 30x +8x +20
12x² + 38x + 20 = 0
simplifying the above equation, we get
By using quadratic equation, then
\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)
simplifying the above equation, we get
\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)
Separate the solutions, we get
\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)
The solutions to the quadratic equation are:
\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)
The complete question is:
Find the area of rectangle with length (3x+2) units and width (4x+10)units.
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What is the volume of this figure
Answers
Answer:
875 cubic feet
Step-by-step explanation:
10x5x5=250
10x5x5=250
5x15x5=375
250+250+375=875
Hope this helps!
That’s wrong it’s 3x+8x+4
Answers
Answer: uhm okay-
Step-by-step explanation:
guys help what is 10/100 + 7/10
Answers
Answer:
4/5
Step-by-step explanation:
Answer: \(\frac{4}{5}\)
Step-by-step explanation: The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(\(\frac{10}{100}\), \(\frac{7}{10}\)) = 100
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(\(\frac{10}{100}\)×\(\frac{1}{1}\))+(\(\frac{7}{10}\)×\(\frac{10}{10}\))=?
Complete the multiplication and the equation becomes
\(\frac{10}{100}\)+\(\frac{7}{10}\)=?
The two fractions now have like denominators so you can add the numerators.
Then:
\(\frac{10+70}{100}\)=\(\frac{80}{100}\)
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 80 and 100 using
GCF(80,100) = 20
\(\frac{80÷20}{100÷20}\)=\(\frac{4}{5}\)
Therefore:
\(\frac{10}{100}\)+\(\frac{7}{10}\)=\(\frac{4}{5}\)
a study of the annual population of toads in a county park shows the population, S(t), can be represented by the function S(t) = 152(1.045)^t, where the t represents the number of years since the study started. based on the function, what is the growth rate?
Answers
Answer: 0.045 is the growth rate.
Step-by-step explanation:
A generic exponential growth function can be written as:
f(t) = A*(1 + r)^t
where A is the initial amount.
t is the unit of time.
r is the rate of growth.
For example if we have an increase of 10% per year, with an initial population of 100 we have that:
A = 100, r = 10%/100% = 0.10, t = number of years.
the equation will be:
f(t) = 100*(1 + 0.10)^t
Now, in this case the equation is:
S(t) = 152*(1.045)^t
We can write this as:
S(t) = 152*(1 + 0.045)^t
Then 152 is the initial amount and 0.045 is the growth rate.
Use Fermats Little theorem to find 23^1002 mod 41
Answers
Answer:
231002 = (2340)25 · 232 ≡ 125 · 529 = 529 ≡ 37 mod 41.
14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equation could be used to find the number of miles for which both companies cost the same for one ride? O A.2.25m = 3.15m
B. 2 + 0.15m = 3 + 0.25m
C.2m +0.25 = 3m +0.15
D.2 + 0.25m = 3 + 0.15m
Answers
Answer:
So i beiieve the answer is B
Step-by-step explanation:
Because if you thinl about the ride for A is $2 plus 25 cents so its 2 plus 25m thats per mile and b 3 dollars and 15 so u keep adding up until u get the same from both equations if u need further explanation let me know
What is the answer....................................................
Answers
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
MATH PLEASE HELP ME DO NOT ANSWER THEN DELETE.
Answers
Answer:
here ya go
Step-by-step explanation:
zeros at x = 1 and x = 5
Mr. Jacobs drove his car 25,634 miles in one year.
To the nearest thousand, about how many miles did Mr. Jacobs drive his car?
25,000 mi
25,600 mi
26,000 mi
30,000 mi
Answers
Answer:
26,000 mi
Step-by-step explanation:
All you really need to do is round the 5 in 25,634 mi to get your answer.
25,634 Rounds to 26,000 with thousandths
Have a Merry Christmas!
the table represents a function what is f(5)?
Answers
Answer:
U should delete the q btw
Use 5 as the value of x
Step-by-step explanation:
Answer: it’s A. -8
Step-by-step explanation: just took the test on edge
PLEASE HELP IM SO LOST
Answers
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'