Answer:
[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]
Answer:
The result can be shown in multiple forms.
Inequality Form:
−12< x < 7
Interval Notation:
(−12,7)
Step-by-step explanation:
first write |2x+5|<19 as a piece wise
2x+5≥0
To find the interval for the first piece, find where the inside of the absolute value is non-negative.
[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide
x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2
x ≥ −5/2.
To find the interval for the second piece, find where the inside of the absolute value is negative.
2x+5 < 0
substract by 5
2x < −5
divide by 2x
2x/2< −5/2
simplify to left side
x < −5 / 2
Simplify the right side.
x < −5/2
In the piece where 2x+5 is negative, remove the absolute value and multiply by −1
− (2x+5) < 19
Write as a piecewise.
{2x+5 <19 x ≥ − 5/2
− (2x+5) < 19 x <− 5/2
Simplify −(2x+5)<19.
{2x+5<19 x≥−5/2
−2x−5<19 x<−5/2
Solve 2x+5 < 19 when x ≥ −5/2.
2x+5<19 for x.
Move all terms not containing x to the right side of the inequality.
2x < 14
divide by 2
x < 7
Find the intersection of x < 7 and x ≥−5/2.
−5/2 ≤x <7
Solve −2x−5 <19 when x <−5/2.
Move all terms not containing x to the right side of the inequality.
−2x<24
divide by -2
x>−12
Find the intersection of x > −12 and x <−5/2.
Find the union of the solutions.
−12 < x < 7
Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?
Answer:
$182.25
Step-by-step explanation:
You just times the per hour to the amount of hours. Hope this helps
Write an equivalent expression for 6( 4 + 2m) ?
Answer:
QUESTION:
Write an equivalent expression for 6( 4 + 2m) ?
ANSWER:
6(4+2m) = ?
6 X 4 = 24
6 X 2m = 12m
Final answer:
12m + 24
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE
Answer:
C
Step-by-step explanation:
The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.
The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.
The section that is both under the dotted line and above the solid line is C.
What is the answer no link I will report and banned you
A car was purchased for $34,000. The car depreciates by 27% of each year
a) What is the value of the car when it is 12 years old?
b) How long will it take for the car to be worth less than $100?
Answer: a) $778.67 b) 19 years
Step-by-step explanation:
The formula you would use is
[tex]a_{n}=P(1-r)^{n}[/tex]
where a is the amount
n is the length of time
P is the principle
and r is the rate in decimal form
a)
[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]
b)
put your initial equation into a graphing calculator and use the table function to find that after 18 years it is worth 117 and in 19 years 86-
A man purchased a used car for $5000 He decided to sell the car for 20% above his purchase price. He could not sell the car so he reduced his asking price by 20% of
he sells the car at the reduced price will he have a profit or a loss or will he break even?
Select the correct choice below and fill in any answer box to complete your answer
A. The man will have a profit of __
B. The man will break even
C. The man will have a loss of 5__
In a sequence of numbers, a4=3, a5=5, a6=7, a7=9, and a8=11.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=3; an=an−1+2
a1=−3; an=2an−1
a1=3; an=2an−1
a1=−3; an=an−1+2
Answer:
a1=−3; an=an−1+2
Step-by-step explanation:
I just took the quiz and this was what was correct
If the two spinners below are spun, what is the probability that the numbers will add to more than 4?
The image of the labeled spinner isn't attached
Answer:
Kindly check explanation
Step-by-step explanation:
Answering hypothetically ;
First create a sample space using the label of the two spinners ;
Each space will be the sum of the possible number that shows up on each turn of the spinner.
From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x
Then the total number of samples in the sole space = total possible outcomes = y
Hence,
P(obtaining a sum greater than 4) = required outcome / Total possible outcomes
= x / y
help! the measure of XY = 140 find the measure of angle 0
Answer:
it's 140 ÷ 2 = 70
bcz the XY is a Inscribed angle
In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
PLEASE HELP ME THANKS!
Answer:
i think it is B. x^ab, but i could be wrong
Step-by-step explanation:
pemdas so take
x^(a+b)
x^(ab)
x^ab
probably wrong
The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
A 18a^6b^2 units
B 136a^6b^2 units
C 152a^10b^6 units
D 1152a^10b^6 units
Answer:
A) 18a^6b^2
Step-by-step explanation:
area = width x length
length = area/width
144a^8b^4/8a²b^2 = 18a^6b^2
what is the diameter of a circle with a circumference of 27 centimeters?
Answer:
diameter = 8.6 cm
Step-by-step explanation:
diameter = 27/π = 8.6 cm
Which situation results in a final value of zero
Answer:
Step-by-step explanation:
the original selling price for a jacket was s dollars. the selling price was then changed on two occasion by the store owner. its price is now represents by 0.85(1.4s), which expression could explain what happened to the price of the jacket?
Answer:
D
Step-by-step explanation:
Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618
Answer:
C. 6(104)=624
Step-by-step explanation:
edge quiz
The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
How to evaluate the sigma notation?The sigma notation is given as:
[tex]\sum \limits^{104}_{n = 1} {6}[/tex]
The above means that we add 6 in 104 places.
i.e. 6₁ + 6₂ + ................ + 6₁₀₄
The expression can be expressed using the following product
[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]
Evaluate the product
[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]
Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
Read more about sigma notation at:
https://brainly.com/question/1799839
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Enjoy!
The dot plots show 20 scores on two different tests.
What is the difference of the ranges?
A) 20
B) 35
C) 5
D) 10
Answer:
A) 20
Step-by-step explanation:
Test 1:
90-50 = 40
Test 2:
100-40 = 60
Difference:
60-40 = 20
Paying my bills late will most likely cause my credit score to go down.
True or False
(GIVING BRAINLIEST)
Answer:
True
Step-by-step explanation:
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
231 dollars
Step-by-step explanation:
216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231
brainliest plz
I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answer:
7.5 min for each assignment
Step-by-step explanation:
1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:
15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60
Or we could multiply one hour, or 60 minutes, by 3 /4 .
60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45
Three fourths of an hour is 45 minutes.
to find time for each assignment =45/6
7.5 min
A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for
Answer:
The area decreased by 329.7 square meters.
Step-by-step explanation:
For a circle of diameter D, the area is:
A = pi*(D/2)^2
with pi = 3.14
In this case, we start with a circle of D = 106m
Then the initial area is:
A = 3.14*(106m/2)^2 = 8,820.26 m^2
After, the diameter is decreased by two meters, then the new diameter is:
D' = 106m - 2m = 104m
And the new area will be:
A' = 3.14*(104m/2)^2 = 8,490.56 m^2
The change in the area is A - A' = 8,820.26 m^2 - 8,490.56 m^2 = 329.7m^2
The area decreased by 329.7 square meters.
What is the mean for the data shown in the dot plot? 4 5 6 10
Answer:
Mean = 6.25
Step-by-step explanation:
Data values: 4, 5, 6, 10
Mean = (Sum of all values)/(Number of values)
Mean = (4 + 5 + 6 + 10)/4
Mean = 25/4
Mean = 6.25
The mean for the data shown in the dot plot is 6.25.
The given data is 4, 5, 6 and 10.
We need to find the mean for the data shown in the dot plot.
What is the dot plot?A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.
Now, mean = Sum of all the observations / Total number of observations
=(4+5+6+10)/4
=25/4
=6.25
Therefore, the mean for the data shown in the dot plot is 6.25.
To learn more about the dot plot visit:
https://brainly.com/question/22746300.
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PLEASE HELP WILL GIVE BRAINLIEST
Answer:
12.5%
Step-by-step explanation:
r = (1/4)((1500/1000) - 1) = 0.125
r = 0.125 = 12.5%
I need this equation in standard form
Answer:
-2x + y - 1 = 0
Step-by-step explanation:
Standard form is Ax + By + C = 0
2x + y = -19 indeedddddddddddddddddddddddddddddd
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
Answer:Step-by-step explanation:
G(F(x))=(x - 5)²
I need this please help me
what are the lengths of sides a and c
Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
I got stumped on another one!
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
Which rectangle will have the largest area?
l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!
Answer:
l = 6 cm, w = 7 cm
Step-by-step explanation: