Answers
[tex]\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}[/tex]
Step-by-step explanation:A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.
The inequality given to us is :-
[tex]\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}[/tex]
Let's plot a graph to see its interval . Graph attached in attachment .
Now we can see that the Interval notation of would be ,
[tex]\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}[/tex]
Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .Related Questions
ML is equal to 342 L 645 ML
Answers
Answer:
1 L = 1000 ml
Step-by-step explanation:
342L = 342 ml
645 ml = 645 ml
The given quantity 342 l 645 ml can be written as 342645 ml.
Given that, 342 l 645 ml.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 l = 1000 ml
Now, 342 l = 342000 ml
So, 342 l 645 ml = 342000+645 = 342645 ml
Therefore, the given quantity 342 l 645 ml can be written as 342645 ml.
To learn more about the metric conversion visit:
https://brainly.com/question/10943201.
#SPJ2
Classifg each angle as acute , right , obtuse , or straight
1) 10°
2) 98°
3) 180°
4) 90°
Answers
Answer:
1) acute
2) obtuse
3) straight
4) right
Step-by-step explanation:
acute angle=less than 90
right angle=90 exactly
obtuse=greater than 90
straight=exactly 180
hope this helps
really need the answer to this thanks !
Answers
Answer: 2662.25 (now u just need to round it to the whole)
Step-by-step explanation: Ok we know that it can last 5750 years, and we know 53.7 percent of those years is gone, meaning it only got 46.3 percent of it years left. until it gone. So 46.3 percent of 5750 is 2662.25. Now go round it if u need to.
5x- 2y = 30
Complete the missing value in the solution to the equation.
(8,____)
Answers
Answer:
The missing value is 5.
Step-by-step explanation:
Since we already have x-value for the equation. What we need to do is to substitute the value of x in the equation.
Substitution
[tex]5x - 2y = 30[/tex]
Then we substitute x = 8 in the equation.
[tex]5(8) - 2y = 30 \\ 40 - 2y = 30 \\ 40 - 30 = 2y \\ 10 = 2y \\ \frac{10}{2} = y \\ 5 = y[/tex]
Answer Check
It is better to check the answer before jumping to the conclusion. We can check if the answer is right by substituting both terms in the equation. If the equation is true then the answer is correct. If the equation is false then one of the term is incorrect.
[tex]5x - 2y = 30[/tex]
Substitute x = 8 and y = 5 in the equation.
[tex]5(8) - 2(5) = 30 \\ 40 - 10 = 30 \\ 30 = 30[/tex]
The equation is true for (8,5)
Therefore, the missing value is 5.
Please helpppp me pleaseee
Answers
Factor 7x3y4−7x2y5 completely.
A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)
Answers
Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
GUYS PLS HELP 25 POINTS PLUS BRAINLIEST IF CORRECT
Answers
Answer:
I looked it up and it says in a hierarchy based on similarities and physical traits as well as binomial nomenclature but you don't have that answer and it also says it describes the linnean taxonomy
Step-by-step explanation: but I think it's animals and species
sorry but hope this helps
Which equation represents the linear function that is shown on the graph below?
10.14
9
8
00
7 6 5
4 +
3
2
1
1 2 3 4 5 6 7 8 9
Х
Answers
Answer:
[tex]y = \frac{1}{2}x - 2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the linear equation
First, we need to calculate the slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, the following relationships exist:
[tex](x_1,y_1) = (4,0)[/tex]
[tex](x_2,y_2) = (10,3)[/tex]
So, the expression for calculating slope becomes:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{10-4}[/tex]
[tex]m = \frac{3}{6}[/tex]
[tex]m = \frac{1}{2}[/tex]
Next, we calculate the equation using:
[tex]y - y_2 = m(x - x_2)[/tex]
This gives:
[tex]y - 3 = \frac{1}{2}(x - 10)[/tex]
Open bracket
[tex]y - 3 = \frac{1}{2}x - 5[/tex]
Make y the subject:
[tex]y = \frac{1}{2}x - 5+3[/tex]
[tex]y = \frac{1}{2}x - 2[/tex]
please help me please please
Answers
Answer:
I am pretty sure the answer is A
Step-by-step explanation:
Answer:
I think but l sure answer is A
Quick IM timed!!
A researcher is comparing three new formulas for grass killer. To conduct the experiment, the researcher purchases 30 pieces of sod from various vendors to use in the study. The 30 pieces of sod are laid out in three different areas. The researcher places three slips of paper in a bowl labeled formula 1, formula 2, and formula 3 and randomly picks a piece of paper to apply that formula to the sod in the first area. Then the researcher picks again and applies that formula to the second area. Finally, the last formula is used on the last area.
Which component is missing from the researcher’s process?
A The researcher should not have laid out the pieces of sod in different areas.
B The researcher did not randomly assign the pieces of sod to the treatment groups.
C The researcher did not randomly pick the vendors when purchasing the pieces of sod.
D The researcher did not use randomization when selecting the pieces of sod from the vendors.
Answers
Answer:
The researcher did not randomly assign the pieces of sod to the treatment groups.
Step-by-step explanation:
Edge 2020/2021
Answer:
The researcher did not assign the chosen pieces of sod to treatment groups.
Step-by-step explanation:
The researcher needs to create three treatment groups, each containing 10 pieces of sod, and assign the chosen pieces of sod to these groups. Without this step, it is not clear how the three formulas will be applied to the pieces of sod.
Find the measure of one interior angle in each regular polygon.
Answers
Answer:
108°
Step-by-step explanation:
Polygon has n sides.
Each interior angle = 180° - (360/n)°
n = 5 ⇒ interior angle = 180° - (360/5)° = 108°
Helppppp!! Pleaseeeee
Answers
How do I solve 300x300=
Answers
Answer:
its 90,000
Step-by-step explanation:
just put the zeros together then multiply 3x3
The table represents a linear function.
What is the slope of the function?
0-6
O 4
х
-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
Mark this and retum
Save and Exit
Next
Submit
Answers
The ratio of the change in the y and x values, in the table gives the slope
graph of the linear function.
Correct response:
The slope of the linear function is -6Method used for finding the slopeFrom the given table, we have;
The first difference of the y-values = 2 - 8 = -6 = Constant
The rate of change of the x-values = 1 = Constant
Therefore;
The function is a linear function;
The slope, m, is given by the formula;
[tex]Slope, \ m = \mathbf{ \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]
Taking a pair of points as follows;
(0, -4) = (x₁, y₁)
(2, -16) = (x₂, y₂)
We have;
[tex]m = \dfrac{-16 - (-4)}{2 - 0} = \dfrac{-16 + 4}{2} = \dfrac{-12}{2} = \mathbf{ -6}[/tex]
The slope of the linear function, m = -6Learn more about linear functions here:
https://brainly.com/question/14322770
E Premium gasoline costs $4.33 per gallon. Noni's car holds 11.6 gallons of gas. What is the estimated cost of filling the tank of Noni's car? $12 $48 $55 $60
Answers
Answer:
48
Step-by-step explanation:
Write the exponent for the expression.
1.9^3
Answers
Answer:
3
Step-by-step explanation:
The exponent is 3 because of the ^
Answer:
3
Step-by-step explanation:
(4x+3)(3x)-25 graph
Answers
Answer:
12x^2+9x^2-25 (quadratic equation)
a=12, b=9, c=-25
put this in quadratic formula
Step-by-step explanation:
Answer:
Plz brainliest
Step-by-step explanation:
help i need help with this im being timed
Answers
2. >
3. <
Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the motorbikes. She has 6 decals left. How many decals does Kim use on each car?
Answers
Answer:
I decal per car and motor bike
Step-by-step explanation:
on a map 5 inches repents. 100 miles. how many inches would. there be between. two cites that are 2,500 miles apart
Answers
Answer:
500 miles
Step-by-step explanation:
2,500 divided by 5 = 500
plz help i will do anything plz
Answers
Answer:whole sheet?
Step-by-step explanation:
If a truck weighs 1200 kg and is traveling at 30 m/s, how much kinetic energy does it have?
Answers
Find the distance between the points (4,-8) and (7-10).
Answers
Answer:
[tex]\displaystyle d = \sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, -8)
Point (7, -10)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(7-4)^2+(-10+8)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(3)^2+(-2)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{9+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{13}[/tex]Answer:
The distance between the points (4,-8) and (7-10)
[tex] = \sqrt{ {(7 - 4)}^{2} + {( - 10 - ( - 8))}^{2} } \\ = \sqrt{ {(7 - 4)}^{2} + {( - 10 + 8)}^{2} } \\ = \sqrt{ {3}^{2} + { (- 2)}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: units [/tex]
√13 is the right answer.If there are 44 successful outcomes in a sample with a size of 80, what is the
sample proportion?
O A. 0.55
OB. 0.45
O C. 0.36
OD. 0.44
Answers
Answer:
The sample proportion is 0.55
Step-by-step explanation:
Given that:
Successful outcomes = 44
Size of sample = 80
We will divide the number of successful outcomes by size of sample to find the sample proportion.
Sample proportion = [tex]\frac{Successful\ outcomes}{Size\ of\ sample}[/tex]
Sample proportion = [tex]\frac{44}{80}\\[/tex]
Sample proportion = 0.55
Hence,
The sample proportion is 0.55
Answer:
0.55
Step-by-step explanation:
He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?
Answers
Answer:
Step-by-step explanation:
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
numbers is 38, find the two numbers.
Answers
Answer:
Let the larger number = y and the smaller number = x.
The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,
y = 2x - 10
The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,
x + y = 38
Since y = 2x - 10, we rewrite the lower equation as:
x + (2x - 10) = 38
Solving:
3x - 10 = 38
3x = 48
x = 16
The lesser number is 16 and the greater number is 2(16) - 10 or 22.
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 26 and 63 minutes. One student is selected at random. Find the probability of the following events.
A. The student requires more than 58 minutes to complete the quiz.
Probability =
B. The student completes the quiz in a time between 32 and 36 minutes.
Probability =
C. The student completes the quiz in exactly 40.85 minutes.
Probability =
Answers
Answer:
A. This is possible but less likely
B. This is very possible
C. This is highly unlikely
B. is the most possible A. is the second most possible C. is least possible
Hope this helps <33
Can someone help me find the x?
Answers
Answer: 8
Step-by-step explanation:
By the angle bisector theorem,
[tex]\frac{12}{18}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\ \\ x=\boxed{8}[/tex]
What percent of 54 is 28?
F) 192%
G) 19%
H) 0.52%
Answers
Answer:
Step-by-step explanation:
H
2. Write an addition problem with
integers to solve this problem.
Sue took good care of her
meat-eating plant. It grew
from a seed to a six-inches tall
plant in three weeks. Then she
forgot to water it. The plant
lost two inches in height.
How tall was the plant then?
1081
Someone
has
shrunk
8C
Answers
Answer:
i would if you put me brainilest
Step-by-step explanation: