Which number line represents the solution set for the inequality 2x24?
+
-10
-8
-6
4
- 2
0
2
4
6
8
10
+
+
+
+
+
-4
-10
-8
-6
-2
0
+
6
+
10
2
4
8
+
+
-10
-8
--6
-4
O
-2
2
4
6
8
10
-10
-8
--6
-4
-2
0
2
4
6
8
10
Answers
Answer:
the answer is what I think 46
The solution of the inequality - 1/2x ≥ 4 is shown in Option 2.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ - 1/2x ≥ 4
Now, We can simplify as;
⇒ - 1/2x ≥ 4
⇒ 1/2x ≤ - 4
⇒ x ≤ - 8
When we plot this inequality on a number line,
An arrow starting with a solid point from x = -8 and arrow directing towards negative numbers will represent the given inequality.
Hence, Option (2) will be the answer.
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Related Questions
a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?
Answers
Answer: 32
Step-by-step explanation:
All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)
Answer:
The answer is 32 and the next one is C, 24x+32.
Step-by-step explanation:
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much
Answers
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
There are 3 feet in 1 yardConverting yards to feet, wee need to multiply the number of yards by 3
7 yards = 21 feetSince the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
Temperature (x) 65 70 75 80 85 90 95 100 105
Number of ice cream cones sold per hour (y) 8 10 11 13 12 16 19 22 23
Note: Critical Value for n = 9 is 0.666
Calculate the linear correlation coefficient r, for temperature (x) and the number of ice cream cones sold per hour (y). (round to 3 decimal place)
Is there a linear relation between the two variables x, and y? Why? If yes, indicate if the relationship is positive or negative. (Hint: Compare the absolute value of r and critical value)
Construct the least-squares regression line for temperature (x) and the number of ice cream cones sold per hour (y) and interpret its slope. (round to 3 decimal place)
Predict the number of ice cream cones sold per hour when the temperature is 80 and calculate the residual for x = 80º. (round to nearest whole number)
Would it be reasonable to use the least-squares regression line to predict the number of ice cream cones sold when it is 50 degrees? Explain your answer.
Answers
Answer:
Step-by-step explanation:
Hello!
You have to calculate the linear correlation coefficient (r) between the variables
X₁: temperature
X₂: Number of ice cream cones sold per hour.
The formula to calculate the coefficient of linear correlation between the two variables is the following:
[tex]r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2\frac{(sumX_2)^2}{n} ]} }[/tex]
∑X₁= 765; ∑X₁²= 66525 ∑X₂= 134 ∑X₂²= 2228 ∑X₁X₂= 11965 n=9
[tex]r= \frac{11965-\frac{765*134}{9} }{\sqrt{[66525-\frac{(765)^2}{9} ][2228-\frac{(134)^2}{9} ]} }[/tex]
r= 0.97
To test if there is a positive linear association between both variables the statistical hypotheses are:
H₀: ρ ≤ 0
H₁: ρ > 0
critical value 0.666
r= 0.97
The decision is to reject the null hypothesis, there is a positive linear correlation between the temperature and the number of ice cream cones sold per hour.
The regression line is
^Y= a + bX
where
a: represents the estimation of the y-intercept
b: represents the estimation of the slope
[tex]b= \frac{sumXY-\frac{sumXsumY}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]
b= 0.38
a= Y[bar]-bX[bar]
a= -17.69
The estimated regression line for the number of ice cream cones and the temperature is ^Y= -17.69 + 0.38Xi
To estimate the number of ice cream cones sold when the temperature is 80º you have to replace the value of X in the estimated regression line:
^Y= -17.69 + 0.38*80= 12.71
It is expected that they will sell 12.71 ≅ 13 ice cream cones when the temperature is 80º
You can use the estimation of the regression line to predict values within the range of definition of the independent variable, in this case from 65º to 105º of temperature, because it is within those values that you can be sure they have a linear association. Below or above you are not certain that their association is linear, it may be, for example exponential, or there may be no association between them.
Example: If the temperature is comfortable or cold, it is more likely that people won't buy ice creams, so for those values it will be no linear association between them.
I hope this helps!
The function Fx) = log5 xis increasing.
Answers
Answer:
Yes
Step-by-step explanation:
If F(x)= log base 5 of x, then yes, it is increasing.
Answer: True
Step-by-step explanation: Got it correct on a-p-e-x
CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A and E are correct
Step-by-step explanation:
lines DE and FG are congruent and so is angle DQE and GQF
Consider this quadratic equation
X^2+2x+7=21
Answers
Answer:
x = sqrt(15) - 1 or x = -1 - sqrt(15)
Step-by-step explanation:
Solve for x:
x^2 + 2 x + 7 = 21
Subtract 7 from both sides:
x^2 + 2 x = 14
Add 1 to both sides:
x^2 + 2 x + 1 = 15
Write the left hand side as a square:
(x + 1)^2 = 15
Take the square root of both sides:
x + 1 = sqrt(15) or x + 1 = -sqrt(15)
Subtract 1 from both sides:
x = sqrt(15) - 1 or x + 1 = -sqrt(15)
Subtract 1 from both sides:
Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)
Write the following number in standard decimal form.
six thousand five hundred thirty-four ten-thousandths
Answers
Answer: 6.534 x 10^(-1)
Step-by-step explanation:
Six thousand five hundred and thirty four ten thousandth
6534/10000
Convert to decimal
6534/10000=0.6534
Then convert to standard form
0.6534=6.534 x 10^(-1)
given that the quadratic equation (k^2-1)x^2-2kx+3k+1=0 has equal roots show that 3K^3-3K-1=0
Answers
Step-by-step explanation:
The roots are equal, so the discriminant equals 0.
b² − 4ac = 0
(2k)² − 4 (k²−1) (3k+1) = 0
4k² − 4 (3k³ + k² − 3k − 1) = 0
k² − (3k³ + k² − 3k − 1) = 0
k² = 3k³ + k² − 3k − 1
0 = 3k³ − 3k − 1
A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot
Answers
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
The fifth term of the sequence will be 11.
(-1,2,5,8,...)
True
False
Answers
Answer:
True
Step-by-step explanation:
You are adding 3 each time:
Term 1: - 1
Term 2: -1 + 3 = 2
Term 3: 2 + 3 = 5
Term 4: 5 + 3 = 8
Term 5: 8 + 3 = 11
~
Answer:
True
Step-by-step explanation:
if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A
if you count 1,2,3,4,5... a(1) being the first term (in this case how do you call a(0) the zeroth term?)
Find the sum of the first 70 terms of the sequence -6, -3,0,3,6,
Answers
Answer:
The sum of the first 70 terms of the sequence [tex]-6, -3,0,3,6, ...[/tex] is 6825.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an Arithmetic Sequence the difference between one term and the next is a constant.
[tex]-6, -3,0,3,6, ...[/tex] This sequence has a difference of 3 between each number.
The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms.
[tex]S_n=\frac{n}{2}(2a_1+(n-1)d)[/tex]
where [tex]n[/tex] = the number of terms, [tex]a_1[/tex] = the first term, and [tex]d[/tex] = the common difference.
For our arithmetic sequence, the values of a, d and n are:
[tex]a_1 =-6[/tex][tex]d=3[/tex][tex]n = 70[/tex]So:
[tex]S_{70}=\frac{70}{2}(2(-6)+(70-1)3)\\\\S_{70}=35\left(3\left(70-1\right)-2\cdot \:6\right)=35\left(207-12\right)=35\cdot \:195)=6825[/tex]
Is a temperature of 0.67 degrees a positive number or a negative number.
Answers
Answer:
It is a positive number.
Step-by-step explanation:
Numbers that are above 0 are considered positive and numbers below 0 are considered negative.
~Anna
The area of a circle is 286 cm2. Use the π button on your calculator for π in your calculations.
8a
If its radius is r cm, find r, correct to 2 decimal places.
Be careful not to round your answer until the very end.
Answers
Answer:
9.54 cm
Explanation:
area = πr^2
286 cm^2= πr^2
=>πr^2= 286 cm^2
=>r^2= 286÷π
=>r= √286÷π
: 9.54. m
circumference=2πr
=> circumference=2×π×9.54
=60 cm
I need help on this one
Answers
Answer:
the fourth answer is prime.
Step-by-step explanation:
in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime
The quarterback Tom Brady completes 60% of his passes. To simulate the outcome of a single pass we use the digits 0, 1, 2, 3, 4, and 5 to represent the outcome "the pass is completed" and the digits 6, 7, 8, and 9 to represent the outcome "the pass is not completed." To be confident that our simulation is accurate, one needs to :
A. Repeat the simulation several more times
B. Assign new digits to represent outcomes
C. Take the average of the results of Line 134 and Line 101
Answers
Answer:
A. Repeat the simulation several more times
Step-by-step explanation:
The purpose of the simulation model is to represent the effectivity of the passes.
The proportion of successful passes is 60%.
As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.
But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.
A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?
Answers
Answer:
$2.1 per pound
Step-by-step explanation:
price/pounds
52.92 / 25 = 2.1
Multiply (2m+3)(m^2-2m+2)
A) 2m^3-m^2-8m+3
B) 2m^3-m^2-10m+3
C)2m^3-m^2-4m+3
D)2m^37m^2-4m+2
Answers
Answer:
Step-by-step explanation:
The first step is to distribute the 2m and 3 to ([tex]m^2-2m+2[/tex]), like so:
[tex](2m+3)(m^2-2m+2)[/tex]
[tex]2m^3-4m^2+4m+3m^2-6m+6[/tex]
Then, add like terms:
[tex]2m^3 -m^2 -2m + 6[/tex]
BRAINLIEST for anyone who gets this correct! Factor the expression below.
16x^2 + 40x+ 25
A. (2x+5)(8x+5)
В. (4х+5)(8х+3)
C. (4x - 5)(4x-5)
D. (2x - 5)(8x-5)
Answers
(4x+5)2
Expand the polynomial using the FOIL method.
16x^2−40x+25
c(4x - 5)(4x-5)
Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he chose
Answers
Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.
Step-by-step explanation:
Which statement describes a cause of screwed data
Answers
a sample that excludes subjects that are not part of the population being measured.
write an equation of a line that is parellel to x=8 and that passes through the point -3,-2
Answers
Since the line is parallel to x = 8, the slope doesn't change.
In this case, the slope is undefined so nothing changes.
All we need to do is find the x-coordinate in (-3, -2). The x-coordinate is -3.
So, the equation will be x = -3
Best of Luck!
A computer company produced this graph to show how many computers it expects to sell based on
how much the company spends on Internet advertising. The company expects to sell 40 million
computers, spending $5 million on Internet advertising. Which set of units and scales are appropriate
for the two axes?
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in millions)
Horizontal axis: Advertising Dollars (in millions):
Vertical axis: Number of Computers (in tens of
millions)
Horizontal axis: Advertising Dollars (in millions);
Vertical axis: Number of Computers (in millions)
1 2
3
4
5
6
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in tens of millions)
Answers
Answer:
The first one
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
Step-by-step explanation:
Since we have given that
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
According to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
so, Horizontal axis - y- axis is the "Number of computers".
Vertical axis - x- axis is the "Advertising cost "
The set of units and scales are appropriate for the two axes
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
From to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
So, Horizontal axis - y- axis shows the "Number of computers".
and, Vertical axis - x- axis shows the "Advertising cost ".
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the sum of three consecutive even numbers is 114 what's the smallest of these numbers
Answers
Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓
Which description matches finding the volume of the solid ?
Answers
Square prism + Triangular prism. Hope it helps.
Drag the item from the item bank to its corresponding match.
Match the prism or cylinder with its volume.
Answers
Answer:
i cant help you because i cant see the things on the picture if u get a better picture i can help
Step-by-step explanation:
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over
Answers
Answer:
I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)
Step-by-step explanation:
Expenses for August= 878.65 + 52.50 + 266.67 + 94.52 + 45.03 + 42.65
= $1380.02
Income-Expenses= 3750-1380.02= 2369.98
Help !!! I got -15 & it’s wrong !
Answers
Answer:
-11
Step-by-step explanation:
I substitute x in ( put parenthesis around x so it makes it clear)
-9-6-18+9+4+9
simplify
-33+22
-11
Answer: -11
Step-by-step explanation:
That polynomial simplifies to -2x^2-x+4
If we plug in -3 for x, we get -2(-3)^2-(-3)+4 and thats -11
Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.
She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
Answers
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.
Can someone help me with this
Answers
Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
h(t)= -20 + 11t
h(11) =
Answers
Answer:
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
Step-by-step explanation:
replace t by 11
do multiplication
add them together
Answer:
h(t) =−20+11t h(11)= 101
Step-by-step explanation:
