Answer:
to get x you need to divide
210/42= 5
x=5
210 = 42x
210/42=5
42*5=210
so remove the x it'd be 210 = 42(5)
x = 5
solve the inequality |x + 4| < |2x|
Answer:
Below in bold.
Step-by-step explanation:
One way to do these is to square both sides:
(x + 4)^2 < 4x^2
x^2 + 8x + 16 < 4x^2
3x^2 - 8x - 16 > 0
Let this = 0:
3x^2 - 8x - 16 = 0
(3x + 4)(x - 4) = 0
x = -4/3, 4.
So the critical points are -4/3 and 4.
Make a table:
x < - 4/3 -4/3 +< x <= 4 x > 4
3x + 4 <0 > 0 > 0
x - 4 <0 < 0 > 0
(3x+4)(x-4) >0 <0 > 0
So the solution is x < -4/3 or x > 4
or in interval notation:
(-∞, -4/3) U (4, ∞)
Answer:
See image below for answer:)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Which system of linear inequalities is represented by
the graph?
+
oyz_x+3 and 3x – y> 2
o ye}x+3 and 3x –y> 2
o y }x+3 and 3x + y> 2
O ya 4x+3 and 2x-y> 2
Answer:
o ye}x+3 and 3x –y> 2 system of linear inequalities is represented by the graph.
PLEASE LET ME KNOW IF ¡ AM WRONG!
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =≤
Greater than and equal = ≥
We have,
We see that,
When we graph,
y ≥ (1/3)x + 3 and 3x - y > 2 we get the graph shown.
y ≥ (1/3)x + 3
This inequality is positive on the y-axis.
3x - y > 2
3x > 2 + y
This inequality is positive on the x-axis.
Thus,
The system of linear inequalities represented by the graph is
y ≥ (1/3)x + 3 and 3x - y > 2
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solve: In(x-2)-In(x+2)=4: explain how you got to your answer.
Answer:
No real solutions.
Step-by-step explanation:
We want to solve the equation:
[tex]\ln(x-2)+\ln (x+2)=4[/tex]
Recall that:
[tex]\displaystyle \ln a-\ln b=\ln\left(\frac{a}{b}\right)[/tex]
Therefore:
[tex]\displaystyle \ln\left(\frac{x-2}{x+2}\right)=4[/tex]
By Definition:
[tex]\displaystyle e^4=\frac{x-2}{x+2}[/tex]
Cross-multiply:
[tex]e^4(x+2)=x-2[/tex]
Distribute:
[tex]xe^4+2e^4=x-2[/tex]
Isolate the x:
[tex]xe^4-x=-2-2e^4[/tex]
Factor:
[tex]\displaystyle x(e^4-1)=-2-2e^4[/tex]
Divide. Therefore:
[tex]\displaystyle x=\frac{-2-2e^4}{e^4-1}=\frac{2+2e^4}{1-e^4}\approx-2.07[/tex]
However, note that logs cannot be negative and must be nonzero. According to the first logarithm, x > 2 and according to the second, x > -2. Since the answer is not greater than two, there are no real solutions.
Your friend was supposed to repay a loan with a loan payment of $1,000 due in 6 months and another loan payment of $1,500 due in 4 years. However, your friend agrees to make two payments that replace the originally scheduled payments. The first replacement payment of $1,250 is due in 2 years and the second replacement payment of $X is due in 3 years. Suppose the interest is 7% p.a. compounded quarterly and the focal date is 3 years from now (Year 3), your friend asks for your help to determine the size of the second replacement payment, $X. Answer the following question:
Your answer for $X at the focal date is ($BLANK)
. (Express in 2 decimals) Hint: Based on your answer in Q3 and the replacement payment in Q5, you will need to determine $X.
Note: to receive the full mark, you will use all the decimal places when performing calculations, round to 2 decimal places in your final answer, and there is no need to include other symbols such as $ and comma in your final answer.
To paint interior walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent job, the paint cost $100 and the total bill was $475.
The person must have painted ____ ft^2.
Answer:
750 ft²
Step-by-step explanation:
.Given :
Charge per ft² = 50¢ = $0.5
Total cost = ((charge per ft² * number of ft²) + cost of paint)
Given that :
Paint cost = $100
Total cost = $475
Number of ft² = x
Plugging values into the equation :
475 = (( 0.5 * x) + 100)
475 = 0.5x + 100
475 - 100 = 0.5x
375 = 0.5x
x = 375 / 0.5
x = 750 ft²
Find the value of x and show work
Answer:
20
Step-by-step explanation:
Select the correct answer.
The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Which equation could represent function g
the result of this transformation?
Answer:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Step-by-step explanation:
Tangent function:
The tangent function is:
[tex]f(x) = \tan{x}[/tex]
Horizontally compressed by a factor of 1/2
Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So
[tex]g(x) = \frac{1}{2}\tan{x}[/tex]
Reflected over the x-axis.
Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Find y.
Round to the nearest tenth:
28°
х
350 ft
y
y = [? ]ft
Answer:
y = 658.3 ft
Step-by-step explanation:
Alternate angles are equal. Therefore,
Reference angle (θ) = 28°
Length of side Opposite to reference angle = 350 ft
Adjacent side = y
Apply TOA, which is:
Tan θ = Opp,/Adj
Substitute
Tan 28 = 350/y
y*tan 28 = 350
y = 350/tan 28
y = 658.3 ft (nearest tenth)
reduce 5/10 to it's smallest fraction
Answer:
1/2
If you divide both numbers by 5, you would get 1/2
Why is android sound louder then iPhone???
Answer ASAP
How do I do this and what’s the answers?
Answer:
a.5years=300 rabbits
b. 50 years(multiply 50 by 300)
Step-by-step explanation:
hope this is helpful
Which of the suggestions do NOT rely on the support of a parent or guardian?
what are the suggestions?
Answer:
what are the options
Step-by-step explanation:
Which expression is equivalent to
3V64k^12
Answer:
I think the answer is C
Step-by-step explanation:
A. 3.9
B. 1.0
C. 1.7
D 3.3
Answer:
its for sure C
Step-by-step explanation:
help!
Is there alternative way in solving a arithmetic sequence?
Answer:
[tex] { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Ana vende productos de limpieza .Por cada $100 que venda le dan de comisión $30 .¿Cuánto ganará si vende $600?
Answer:
$180
Step-by-step explanation:
$600/$100 = 6
$600 es 6 veces $100.
Por vender $600 gana 6 veces mas que por vender $100.
6 * $30 = $180
Respuesta: $180
the high temperature is forecast to be 5.4 F . What is this temperature in degrees Celsius ()?
Answer:
-14c
Step-by-step explanation:
I’m using the actual values 1F = -17C so just times that by 5.4
równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma postać v(t)=25-5t. Korzystając z rachunku całkowego wyznacz drogę hamowania autokaru.
Answer:
s = 22.5 m
Step-by-step explanation:
the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.
v (t) = 25 - 5 t
at t = 0 , v = 20 m/s
Let the distance is s.
[tex]s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\[/tex]
Let at t = t, the v = 20
So,
20 = 25 - 5 t
t = 1 s
So, s = 25 x 1 - 2.5 x 1 = 22.5 m
the probabilities that Kojo and Adwoa will pass an examination are 3/4 and 3/5 respectively. Find the probability that both will fail the examination
A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.
Answer:
$325.50, mentioned methods below.
Step-by-step explanation:
55% means it increases by 55%. an increase of 50% is basically taking half of the original amount . So a 50% increase of 4 would be 4 + .5*4 = 4+2 = 6
So for 210 that's 210 + .55*210 = 325.50
You could also factor to make it a little simpler.
210 + .55*210 = 325.50
210(1 + .55) = 325.50
210*1.55 = 325.50
.55 = 55/100 = 11/20
Debra bought 16 pounds of sugar for $7.
How many dollars did she pay per pound of sugar
Given that x = 4, b=6 and c = 3. Then 3a + bc = 16.
true or false?
Answer:
False
Step-by-step explanation:
3a + bc = 16.
Let a=4 b=6 c=3
3(4) + 6*3 = 16
Multiply
12+18 =16
30 = 16
False
Answer:
False!
Step-by-step explanation:
There is no a variable that is given, though I'm going to assume you mean that x=4 is supposed to be a=4. If I'm mistaken, there isn't much to say about whether the statement is true or false, because there's no false statement as it'd give you a=? and you can't prove or disprove this information without more information.
If my assumption is correct, we'll first start solving this problem by substituting in the variables, which would give us: 3(4)+(6)(3)=16
Then, we'll evaluate 3(4) first, because of order of operations, which gives us 12. To reiterate the problem, we now have: 12+(6)(3)=16 From here, we can already tell this is going to be a false statement, as there is no way 6 times anything but zero will give a sum less than 6, but if you didn't catch that, we can continue with our next step.
Evaluate (6)(3) in order to get 18, in order to get: 12+18=16
And finally, we'll add. 12+18 is 30, which as we know, is not equal to 16, so that makes this statement false. 30≠16
Solve the inequality –8 < x – 14.
Answer:
x=6
Step-by-step explanation:
Answer:
Interval Notation:
(6,∞)
Inequality Form:
x>6
there ya go
in circle T with m angle STU=50 and ST=3 units, find the length of arc SU. Round to the nearest hundredth.
9514 1404 393
Answer:
arc SU ≈ 2.62 . . . units
Step-by-step explanation:
The arc length is given by ...
s = rθ
where r is the radius, and θ is the central angle in radians.
arc SU = ST·STU = 3·(50°·π/180°) = 5π/6
arc SU ≈ 2.62 . . . units
Perform the indicated operation.
(7 - 11) + (-3+51
Step-by-step explanation:
(7-11)+(-3+51)
(-4)+(48)
44 ans
Answer:
44
Step-by-step explanation:
7-11= -4
-3+51=48
-4+48=44
I'll give brainliest if you answer 11 and 12
Answer:
tanx=30/27
tanx=10/9
x=48
Express the terms of the following sequence by giving an explicit formula. 5 , 2 , -1 , -4, -7 , .
Answer:
Step-by-step explanation:
a1=5
d=2-5=-3
[tex]a_{n}=5+(n-1)(3)\\a_{n}=5+3n-3\\a_{n}=3n+2[/tex]
Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is as shown below: What is the length of side EF in inches?
a 45
b 25
c 15
d 30
Answer:
25
Step-by-step explanation:
The length of side EF in Cory's project is 25 inches. Thus, the correct answer is option b.
To determine the length of side EF in Cory's project, we can use the concept of proportionality between corresponding lengths in Cory's design and project.
We are given that the length ML in Cory's design corresponds to the length DC in Cory's project, and ML is 8 inches while DC is 40 inches. Using this information, we can set up the proportion:
ML / DC = NH / EF
Plugging in the known values, we have:
8 / 40 = 5 / EF
To solve for EF, we can cross-multiply:
8 * EF = 40 * 5
8EF = 200
Dividing both sides by 8:
EF = 200 / 8
EF = 25
Therefore, the length of side EF in Cory's project is 25 inches.
Thus, the correct answer is option b: 25 inches.
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1. If f(x)=4*, then which of the following is the value of f(-2)?
Answer:
what is the following
Step-by-step explanation:
Find the population variance and standard deviation.
8, 17, 29, 35, 41
Answer:
53
Step-by-step explanation:
By taking the number "41" and minus it with "35" and you'll get 12. Take the number "12" and plus with "41" and you'll get the answer.
the population variance is 144 and the population standard deviation is 12.
To find the population variance and standard deviation for the given data set, follow these steps:
Step 1: Find the mean (average) of the data set.
Step 2: Subtract the mean from each data point to find the differences.
Step 3: Square each difference.
Step 4: Calculate the sum of the squared differences.
Step 5: Divide the sum of squared differences by the total number of data points to find the variance.
Step 6: Take the square root of the variance to find the standard deviation.
Given data set: 8, 17, 29, 35, 41
Step 1: Find the mean (average):
Mean = (8 + 17 + 29 + 35 + 41) / 5
Mean = 130 / 5
Mean = 26
Step 2: Find the differences from the mean:
Differences: (8 - 26) = -18, (17 - 26) = -9, (29 - 26) = 3, (35 - 26) = 9, (41 - 26) = 15
Step 3: Square each difference:
Squared differences: [tex](-18)^2 = 324, (-9)^2 = 81, 3^2 = 9, 9^2 = 81, 15^2 = 225[/tex]
Step 4: Calculate the sum of squared differences:
Sum of squared differences = 324 + 81 + 9 + 81 + 225 = 720
Step 5: Calculate the variance:
Variance = Sum of squared differences / Number of data points
Variance = 720 / 5
Variance = 144
Step 6: Calculate the standard deviation:
Standard deviation = √Variance
Standard deviation = √144
Standard deviation = 12
So, the population variance is 144 and the population standard deviation is 12.
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