9514 1404 393
Answer:
x ≤ 4x > 10x ≤ -7Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
__
2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
__
3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
_____
Additional comment
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are multiplication and division by a negative number: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
ANSWER
1. 3x + 2 < 14
= 3x + 2 - 2 < 14- 2
= 3x < 12
= 3x/3 < 12/3
= x < 4
2. -5 + 2x > 15
= -5 + -5 + 2x > 15 - 5
= 2x > 10
= 2x/2 > 10/2
= x > 5
3. -2x + 4 > 18
= -2x + 4 - 4 > 18 - 4
= -2x > 14
= -2x/-2 > 14/-2
= x > -7
who is the best in the movie encanto
Answer:
My opinion Camilo Madrigal
Step-by-step explanation:
Because his gift is shapeshifting.
Answer: Isabela and dolores yes yes:)
12.5g of a medicine cost 1075 naira. what is the cost of 1g medicine
6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answer:
4 units right, 2 units up
Step-by-step explanation:
For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).
I need it done very quick pls help
Ellie, Mrs. Trost's youngest daughter, gained 0.6 pounds in 0.25 months.
What was Ellie's growth rate in pounds (lb) per month?
Ellie's growth rate is 2.4 pounds per month.
To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:
Determine the change in weight:
Change in weight = 0.6 pounds
Determine the time period:
Time period = 0.25 months
Calculate the growth rate:
Growth rate = Change in weight / Time period
Substituting the values:
Growth rate = 0.6 pounds / 0.25 months
To divide by a fraction, we multiply by its reciprocal:
Growth rate = 0.6 pounds * (1 / 0.25 months)
Simplifying the fraction:
Growth rate = 0.6 pounds * 4 months
Multiplying:
Growth rate = 2.4 pounds per month
Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.
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-21 < f (x) < 0 , where f (x) = - 2x- 5
We can solve this using the next property:
If a
Replace f (x) = - 2x- 5 , then:
-21 < f (x) < 0
-21 < -2x-5 < 0
Solve -21 < -2x-5 and -2x-5 < 0
Therefore:
-21 < -2x-5
Add both sides 5
-21+5 < -2x-5 +5
-16 < -2x
(-1)-16 < (-1)(-2x)
16>2x
x<16/2
x<8
and
-2x-5 < 0
Add both sides 5
-2x-5 +5 < 0+5
-2x<5
(-1)-2x < (-1)5
2x > -5
x > -5/2
Hence, the resulting interval is:
-5/2 < x < 8
which equation could be used to solve the graph below
A. x^2+x-2=0
B.x^2+2x+1=0
C.x^2-1=0
D.x^2-2x+1=0
Answer:
y=ax²+q
q= -1 turning point of the graph
(-1,0)(1,0)
0=a(1)²-1
0=a-1
a= -1
*
Which of these actions has a greater reduction
in the total interest paid on a motgage?
● A reduction of the interest rate from 7% to 6%
on a 30-year term
• An increase in the term from 20 years to 30 years
on a 7% loan
A decrease in the amount financed from
$200,000 to $150,000 on any term and rate
• A decrease in the term from 30 years to 20 years
on any rate
Show all work that leads to your answer
A decrease in the term from 30 years to 20 years on any rate will give the greater reduction in total interest paid .
Given,
Circumstances on which interest will be lower .
Now,
Consider decrease in the term from 30 years to 20 years on any rate of interest .
Let us assume the principal to be $100.
Let us assume the rate of interest to be 1% .
Now for simple interest,
Firstly let time period be 30 years .
SI = P*R*T/100
SI = $100 *1*30/100
SI = $30
Secondly the time period will be 20 years
SI = P*R*T/100
SI = $100 *1*20/100
SI = $20
Hence,
The reduction in interest is 33. 33% which is highest among all the other given options .
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7+2x/3=5 im stuck on this question pls hhelp my homework is due soon pls help
The value of X is 4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
what is the measure of angle LKJ? Round to nearest whole degree.
The angle LKJ in the triangle is 49 degrees.
How to find angles in a triangle?The sum of angles in a triangle is 180 degrees. The measure of the angle LKJ can be found as follows:
Therefore, the angle LKJ can be found using trigonometric ratios as
follows:
Not the triangle is a right angle triangle. Therefore, one of its angles is 90 degrees.
Hence,
tan x = opposite / adjacent
tan x = 8.9 / 7.7
tan x = 1.15584415584
x = tan ⁻¹ 1.15584415584
x = 49.1346675513
Therefore,
angle LKJ = 49 degrees
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The mean weight of an American newborn baby is 119.54 oz (about 7 pounds 8 ounces) with a population standarddeviation of 0.62 oz.In a random sample of 14 newborn babies, the mean weight was calculated to be 119.18 oz.
The probability of 14 newborn babies, the mean weight is utmost 119.54 oz is 604.
Describe probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given,
The mean weight of an American newborn baby is 119.54 oz (about 7 pounds 8 ounces) with a population standard deviation of 0.62 oz.
Mean = 119.54
SD = 0.62
Let x be the mean weight
n = 14
Mean = \(\frac{0.62}{\sqrt{14} }\)
Mean = 0.165
The probability of 14 newborn babies, the mean weight is utmost 119.54 oz
P (X ≤ 119.18)
P ( Z ≤ \(\frac{119.18-119.54}{0.165}\) )
P (Z ≤ -605)
The probability of 14 newborn babies, the mean weight is utmost 119.54 oz is 604.
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QUICK I’LL MARK YOU BRAINLIEST!!
5-142. Use the similar figures at right to answer the questions.
1. What is the scale factor?______
2. Find the lengths of the missing sides on the similar shapes below.
X=______ Y=_______ Z=_____
Answer:
Z = 22.5, Y = 81, X = 26.7
Step-by-step explanation:
Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.
\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)
The angle, in degrees, at which a batter hits a baseball can affect the distance the ball
travels, in feet. The function B(x) = -0.2x² + 14x - 21 models the distance the baseball
travels in ft. depending on the angle, in degrees, at which the ball is hit.
What does the Variable x represent? Include the units.
What does the variable y represent? Include the units.
Interpret the y-intercept. Include units.
The variable x represents the angle at which the baseball is hit in degrees.
The variable y represents the baseball's distance traveled in feet.
The y-intercept of the function B(x) reflects the distance traveled by the baseball when it is struck at a 0 degree angle, i.e. directly horizontally.
How to explain the functionThe distance traveled in this situation is given by:
B(0) = -0.2(0)² + 14(0) - 21 = -21
As a result, the y-intercept is -21 feet, indicating that if the baseball is hit horizontally, it will travel 21 feet backwards. However, because a baseball cannot be hit horizontally, the y-intercept is not a useful value.
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please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
Suppose that A ∩ C = B ∩ C. Is it true that A=B? Justify your answer.
Answer:
No
Step-by-step explanation:
If these two individual statements are true, it means they share the same elements of set C. In addition to this, sets A and B could have additional elements, hence this cannot be true.
Plsss somone help me plsssszzz
Answer:
creating shapes,angles and lines
Answer:
hello! :)
Three ways math is in math is that everything in dancing has to do with patterns, dancers memorize patterns in the steps in their dances. The larger number of dancer, the more possible relations of lines, shapes and patterns arise from their interacting bodies
A jar has 465 M & Ms. There are twice as many blues as reds. There are 8 more green as red. The
number of brown M & M's is two more than three times the number of reds.
Answer:
Step-by-step explanation:
What is the length of segment SR?
____ units
The value of the length of the segment SR is; 12 units.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
According to the diagram at point it makes the angle of 90° with both triangles, thus;
SR = SQ
2x + 8 = 8x - 4
And to find the value of x, we will find the value of line segment SR
8x -2x = 8+4
6x = 12
x = 12/6
x = 2
Then we will put the value of x in SR ;
SR = 2x + 8 = 2(2) + 8 = 4 + 8 = 12
SR = 12
Hence, The value of the length of the segment SR is; 12 units.
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(p) =
p − 4 /
p^2 + 5
The critical points of the given function are p = 2 ± √13.
What are functions?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
Critical function:
The key points are locations inside the function's domain where the function's nature changes.
The function stops increasing or decreasing at these places.
The function is: \(h(p)=\frac{p-2}{p^2+9}\)
The derivative test will be applied here:
\(\begin{aligned}& \therefore h^{\prime}(p)=0 \\& \Rightarrow \frac{d}{d p}\left(\frac{p-2}{p^2+9}\right)=0 \\& \Rightarrow \frac{\frac{d}{d p}(p-2)\left(p^2+9\right)-\frac{d}{d p}\left(p^2+9\right)(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{1 \cdot\left(p^2+9\right)-2 p(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{-p^2+4 p+9}{\left(p^2+9\right)^2}=0 \\& \Rightarrow-p^2+4 p+9=0\end{aligned}\)
Then,
\(\begin{aligned}& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{4^2-4(-1) 9}}{2(-1)} \\& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{52}}{-2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm \sqrt{52}}{2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm 2 \sqrt{13}}{2} \\& \Rightarrow p_{1,2}=2 \pm \sqrt{13}\end{aligned}\)
Therefore, the critical points of the given function are p = 2 ± √13.
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plase help 50 points
Which function is graphed?
Answer:B
Step-by-step explanation:
This is the only possible answer trust me
The mean absolute deviation of Mr. Zimmerman's class is 0.46. What does this mean?
Answer:
is a measure of the average absolute distance between each data value and the mean of a data set.
How many degrees is the measure of ∠4
?
Answer:
Below
Step-by-step explanation:
Angle 4 + 60 + 61 = straight line = 180 °
angle 4 = 180 - 60 - 61 = 59°
3x the sum of 3 and some number is 24 what is the number
Answer:
×=8
Step-by-step explanation:
24 divide by 3 is 8
8 x 3 is 24
Which expressions are equivalent to 2[3/4x+7]-3(1/2x-5)? Check all that apply
Answer:
B, C, E
Step-by-step explanation:
This is correct. Trust me.
Answer:B, C, E
Step-by-step explanation:
can u plz tell me hurry
Which sequences are geometric? Select three options.
O-2.7, -9, -30, -100, ...
0-1, 2.5, -6.25, 15.625,...
9.1, 9.2, 9.3, 9.4, ...
8, 0.8, 0.08, 0.008, ...
4,-4, -12, -20, ...
Answer:
A. -2.7, -9, -30, -100, ...
B. -1, 2.5, -6.25, 15.625, ...
C. 9.1, 9.2, 9.3, 9.4, ...✔️
D. 8, 0.8, 0.08, 0.008, ...✔️
E. 4, -4, -12, -20, ... ✔️
Hope you understand
Let me know if you need further explaination
NO LINKS!! URGENT HELP PLEASE!!!
Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, and the explicit formula.
34. -11, -7, -3, 1, . . .
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
35. a_n = -30 - 4n
Answer:
#34. aₙ = 4n - 15; a₅₂ = 193#35. a₅₂ = -238; d = - 4-----------------
Question 34Find the differences in the sequence -11, -7, -3, 1, ...
1 - (-3) = 4,-3 - (-7) = 4,-7 - (-11) = 4The difference is common, so the sequence is an AP.
The nth term is:
\(a_n=a_1+(n-1)d\)\(a_n=-11+(n-1)*4=-11+4n-4=4n-15\)Find the 52nd term:
\(a_{52}=4*52-15=208-15=193\)Question 35Find the 52nd term using the given formula:
\(a_{52}=-30-4*52=-30-208=-238\)Find the previous term:
\(a_{51}=-30-4*51=-30-204=-234\)Find the common difference:
\(d=a_{52}-a_{51}=-238-(-234)=-4\)Answer:
\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)
\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)
Step-by-step explanation:
Question 34An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Given sequence:
-11, -7, -3, 1, ...To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.
\(a_4-a_3=1-(-3)=4\)
\(a_3-a_2=-3-(-7)=4\)
\(a_2-a_1=-7-(-11)=4\)
As the differences are constant, the sequence is arithmetic, with common difference, d = 4.
The explicit formula for an arithmetic sequence is:
\(\boxed{a_n=a+(n-1)d}\)
where:
a is the first term of the sequence.n is the position of the termd is the common difference between consecutive terms.To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:
\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)
Therefore, the 52nd term is a₅₂ = 193.
\(\hrulefill\)
Question 35Given explicit formula for an arithmetic sequence:
\(a_n=-30-4n\)
To find the common difference, we need to compare it with the explicit formula for the nth term:
\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)
The coefficient of the n-term is -4, therefore, the common difference is d = -4.
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)
Therefore, the 52nd term is a₅₂ = -238.
My math teacher randomly assigned this but it’s something far outta my range, I need some help!!!!!
If d=26 then r = d/2 = 13
...........................................