The solution for given inequality is s ≥ -1/3 or s ≤ -4
What is an inequality ?In mathematics, an inequality can be taken as a relation which makes a comparison which is non-equal between two specific numbers or the variables or other mathematical symbols and expressions. It is used mostly when we have to compare two numbers by their size on the number line.
The are various operators which are used while showing the inequality such as the signs of greater than (>) , less than (<), greater than or equals to (≥) , and less than or equals to (≤).
In the given question the inequality is:
-3s+7 ≤ 8 or -2s+4 ≥ 12
solving the equations
=> -3s ≤ 8-7 or -2s ≥ 12-4
=> -3s≤ 1 or -2s ≥ 8
=> -s ≤ 1/3 or -s ≥ 4
=> s ≥ -1/3 or s ≤ -4.
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The complete question is:
Solve the given inequality.
-3s+7 ≤ 8 or -2s+4 ≥ 12
HELP ASAP!!! Which of the following pairs of triangles can be proven congruent by ASA?
Answer:
Answer A
All of them can be proven congruent, but the only one which can be proved with ASA is answer A, sicne there are 2 angles.
Which translation(s) will take Triangle T to Triangle U? Explain your answer
For Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Options A and C
This is further explained below.
What is translation?Generally, A translation is a kind of geometric transformation that is used in Euclidean geometry. This type of transformation involves moving each point of a figure, shape, or space by the same distance in a certain direction.
In conclusion, for Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Therefore, Options A and C are valid
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Solve for x.
6/9=x/12
Simplify as much as possible
- - - - - - - - - - - - - - - - - - - - - - - -
Find common denominators :)
6/9
Divide by 4 (the common factor of 9 and 12)
2/3
Multiply by 4
8/12
8/12 = 8/12
Now, simplify.
2/3
- - - - - - - - - - - - - - - - - - - - - - - -
Have a great day/night! :)
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may anyone help me with these
Step-by-step explanation:
we have 3 gears meshed with the following teeth . A-20 , B -50 , C -30 . another set of gears have the following teeth . X -20 , y- 25 , Z -30 . Assuming gears A and X are Running at the same rpm . which statement is correct ?
The table below shows an income tax schedule, expressed in nominal terms, for the year 2014.
Using proportions, it is found that the inflation rate was of 5.7%.
The inputs to the table will be given as follows:
21,140.21,141 to 31,710.31,711 to 52,850.52,851 to 84,560.84,560What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The inflation rate is found by the proportion of the 2016 CPI to the 2014 CPI, hence:
185/175 - 1 = 1.057 - 1 = 0.057.
The inflation rate was of 5.7%.
To find the amounts that complete each table, we have to find the 2014 table, and multiply the amounts by 1.057, hence:
20000 x 1.057 = 21,140.30000 x 1.057 = 31,710.50000 x 1.057 = 52,850.80000 x 1.057 = 84,560.More can be learned about proportions at https://brainly.com/question/24372153
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Classify angle 5
Please help me
Answer:
It is an acute angle
Step-by-step explanation:
You can tell by looking at it that it is less than 90 degrees, making it an acute angle.
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How many solutions for x does the following equation have?
(6x + 6) = 4x + 4
O A. 0
OB. 1
O C. infinite
OD. 4
the area A of a rectectangle is represented by the formula A=Lw where I is the length and W is the width. write an equation that would make it easy to find the length of the rectangle
Answer: L=A/W
Step-by-step explanation: If you do this then you will find the length because L x W = A. So if the area is determined by l and w then you could divide A by the width to find the length because you multiply length and width to find the area
Solve the problem.
Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
Select one:
A.
54 grams
B.
40.5 grams
C.
6 grams
D.
18 grams
Based on the karats on the gold necklace, the weight in grams of the pure gold in the necklace is B. 40.5 grams
What is the amount of pure gold in 18 karats?When something is said to be 18 karats of gold, it means that there is about 75% pure gold and then 25% of other materials.
If the necklace has 75% gold, the pure gold in grams is:
= 75% x 54
= 40.5 grams
In conclusion, the pure gold weighs 40.5 grams.
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h(x) = 3x - 5, find h(-2).
Answer:
h= 3x/x −5
Step-by-step explanation:
hx=3x−5
Step 1: Divide both sides by x.
hx/x = 3x/x −5
h= 3x/x −5
x
Answer:
h= 3x/x −5
Jean loans Bernie $1500. Bernie agrees to pay Jean an extra $225
when he repays the loan in one year. What is the annual simple interest rate
of the loan?
The annual simple interest rate of the loan is 15% on the premise that Jean would $225 extra after 1 year
How is simple interest determined?
The simple interest whose dollar is $225 on the loan is the principal of $1500 multiplied by the interest rate which is unknown, can be assumed to be R, multiplied as well as the period of loan, I mean how long it takes for the loan to be repaid, which is one year as indicated by the below simple interest rate formula:
I=PRT
I=interest amount in dollars=$225
P=loan amount=$1,500
R=interest rate=unknown
T=period of loan=1 year
$225=$1500*R*1
$225=$1500*R
R=$225/$1500
R=15.00%
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Berno deposits $30,000 into an account paying 3.25% annual interest,
compounded quarterly. How much will be in the account after fifteen years?
Based on the amount deposited by Berno and the annual interest on the account, the amount in the account after fifteen years is $49,012.91.
How to find the deposited amount?The interest is said to compound quarterly which means that the periodic interest rate is:
= 3.25% / 4
= 0.8125%
The number of periods is:
= 15 x 4
= 60 quarters
The amount in the account after 15 years is:
= 30,000 x (1 + rate) ^ number of periods
= 30,000 x (1 + 0.8215%)⁶⁰
= $49,012.91
In conclusion, the amount in the account after 15 years would be $49,012.91.
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Mrs. McMinn loves Vanilla Coke. It has been difficult to find in stores but now she is at HEB and sees a full shelf of Vanilla Coke drinks! Every 12-pack of Vanilla Coke is $7. She also remembered she has to get a roll of paper towels, which is $2. Which equation best represents her total cost (y) after purchasing Vanilla Coke 12-packs (x)?
Her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:
y = 2 + 7x.
What is a linear function?A linear function is modeled according to the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change of the function, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, we have that:
The cost of the paper towel is constant, of $2, and only one is bought, hence the intercept is of b = 2.Each 12-pack of Vanilla Coke costs $7, hence the slope is of m = 7.Hence her total cost after purchasing 12x packs of Vanilla Coke is given by the following linear function:
y = 2 + 7x.
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Solve the equation, 13|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38
Answer:
94/13, 114/13
Step-by-step explanation:
[tex]13|x-8|=10 \\ \\ |x-8|=\frac{10}{13} \\ \\ x-8=\pm \frac{10}{13} \\ \\ x=8 \pm \frac{10}{13} \\ \\ =\frac{94}{13}, \frac{114}{13}[/tex]
please explain as much as you can.
Step-by-step explanation:
remember : to convert a fraction of one denominator into a fraction of another denominator, we need to multiply both (numerator and denominator) by the same factor, so that the denominator changes to the desired number, and the overall value of the fraction remains unchanged.
4 1/3 - 8
first I convert the mixed number into a full fraction :
4 1/3 = (4×3 + 1)/3 = 13/3
then, to be able to subtract 8, I need to convert 8 into a fraction with the same denominator as 13/3 :
8 = (8×3)/3 = 24/3
so, now I can do the subtraction :
13/3 - 24/3 = -11/3
-11/3 = -3 remainder 2 = -(3×3 + 2)/3 = -3 2/3
5 2/5 - (-2 4/15)
again, we convert all mixed numbers into full fractions :
5 2/5 = (5×5 + 2)/5 = 27/5
2 4/15 = (2×15 + 4)/15 = 34/15
now we need to bring both to the same denominator, and because 5 is a factor or 15, we can bring both to fractions of 1/15, for which we only need to transform the first fraction :
27/5 = 27/5 × 3/3 = 81/15
so, the subtraction is actually
81/15 - (-34/15) = 81/15 + 34/15 = 115/15 = 23/3
23/3 = 7 remainder 2 = (7×3 +2)/3 = 7 2/3
Karen Gaines invested $11,000 in a money market account with an interest rate of 3.32% compounded semiannually.Seven years later,Karen withdrew the full amount to put toward the down payment on a new house.how much did Karen withdraw from the account
We get that, the amount that Karen can withdraw after 7 years will be $ 17376.98 compounded semi annually with interest rate of 3.32 %.
We are given that:
Principal amount = $ 11,000
Interest rate = 3.32 % compounded semi annually.
Time period = 7 years
t = 7 × 2 = 14 times
Amount = 11,000 ( 1 + 3.32 / 100 )¹⁴
Amount = 11,000 (1.0332)¹⁴
Amount = 11,000 ( 1.57973)
Amount = 17376.98
The amount will become = $ 17376.98 that Karen will withdrew for the down payment on a new house.
Therefore, we get that, the amount that Karen can withdraw after 7 years will be $ 17376.98 compounded semi annually with interest rate of 3.32 %.
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There is a pair of parallel sides in the following shape.
What is the area of the shape?
If there is a pair of parallel sides in the following shape. the area of the shape is: 21 unit².
Area of the shapeUsing this formula to determine or find the area of the shape
Area = (1/2)× (Area+ breadth )height
Where:
Area= 9
Breadth= 5
Height = 3
Now Let plug in the formula so as to find the area
Area of the shape = (1/2)× (9 + 5) ×3
Area of the shape = (1/2)× (14)×3
Area of the shape = (1/2)× 42
Area of the shape= 21 unit²
Therefore If there is a pair of parallel sides in the following shape. the area of the shape is: 21 unit².
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:52:26 ATI
f(x) =
wer.
-(x+8)² + 4 for
for
Find f(-5)
x < -5
x ≥ 3
The value of f(-5) when we solve the function f(x) is -5.
What does the mathematical function mean?A function is a statement, tenet, or rule that creates a correlation between two variables. In mathematics, functions are used often and are required to build complicated connections.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The function can be solved as:
[tex]f(x) = -(x+8)^{2} +4[/tex]
[tex]=-(-5+8)^{2}+4[/tex]
[tex]=-(3)^{2}+4[/tex]
[tex]=-9+4[/tex]
[tex]=-5[/tex]
Hence, f(-5) = -5
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Help me Geometry!!!!!!!
Answer:
x=5
Step-by-step explanation:
USE=UST+EST
180=UST+22x+3 ==> USE is a straight line, and straight lines measure 180 degrees and are called straight angles.
UST+6x+4+79=180 ==> 180 is the sum of all three angles in a triangle
UST+22x+3=UST+6x+4+79 ==> they both equal 180
22x+3=6x+4+79 ==> subtract UST on both sides
22x+3=6x+83
22x+3-3=6x+83-3
22x=6x+80
22x-6x=6x-6x+80
16x=80
x=80/16
x=5
Please answer asap
is -√49 a rational number
from the knowledge of square and square root of numbers√49=7
-√49
-√7^2
-7
HELP PLEASE? THE PICTURE IS ATTACHED FOR ANYONE THAT WANTS TO HELP, I’D APPRECIATE IF SOMEONE HELP ME ANSWER THIS
Answer:
$32.00
Step-by-step explanation:
The easiest way of calculating discount is, in this case, to multiply the normal price $80 by 40 then divide it by one hundred. So, the discount is equal to $32. To calculate the sales price, simply deduct the discount of $32 from the original price $80 then get $48 as the sales price.
HELP PLEASE? THE PICTURE IS ATTACHED FOR ANYONE THAT WANTS TO HELP, I’D APPRECIATE IF SOMEONE HELP ME ANSWER THIS
Answer:
40% Of 80 is 32
Will mark brainliest 20 points
Answer:
see image
Step-by-step explanation:
Use distributive property to multiply.
Multiply the numbers together. To multiply variables, add the exponents (for same variables, x's and x's, also y's and y's)
Keep the minus sign and the plus sign in place. See image.
what the mean of 1,3,5,5, 1, 3, 0, 0, 5
1+3+5+5+1+3+5+0+0
4+5+5+1+3+5
9+5+1+3+5
14+1+3+5
15+3+5
18+5
23
23/9
the mean is 2 and 5/9
Biff earned $45 working at Happy Days Drive-In. He spent 1/3 of the money on gas for his car and 1/5 of it on flowers . How much money does he have left
Biff has $12 left out of the money
How to calculate the amount of money left ?Biff earned $45 at happy days drive-in
He spent 1/3 of the money on gas
He also spent 1/5 of the money flowers
The money he has left can be calculated as follows
45 × {1-(1/3+1/5)}
= 45× (1-8/15)
= 45 × 7/15
= 3 × 7
= 21
Hence Biff has $12 left
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2-7
please geometry chapter 1
The values of the indicated lengths.
We are given a number line with points A, B, C, D and E on it.
We need to find the lengths of:
DE
AB
AC
BD
CE
BE
Now, we are also given that:
AD = 18 units
AE = 27 units
DE = 27 - 18 = 9 units
AB = 18 / 3 = 6 units ( As AB = BC = CD)
AC = 12 units ( as AB + BC)
BD = 12 units
CE = 6 + 9 = 15 units
BE = 15 + 6 = 21 units.
Therefore, we get the values of the indicated lengths.
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Need Help
Apples cost $2/lb but 15 apples cost $4. How many pounds does an apple weigh?
A 2/15
B 15/2
C 1/15
D 1/30
E 15
Well, you start out by recognizing that 4/5ths of an ounce equals 1/5 of the apples weight. Therefore, you must multiply 4/5 by 5 to get the whole of the Apple. (1/5*5).
So, this is the lines,
4/5*5= 20/5, or 4 ounce
Another way, is with decimals, so
0.8*5=4.0
An angle measures 124° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
56°
Step-by-step explanation:
Supplementary angles are = to 180° so you have to subtract 124 from 180 which gives you 56°
How to find the slope intercept form of the line that passes through (-4,1) and perpendicular to y = 2x - 3
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What is the horizontal asymptote of f(x)=-2x/x+1
O y = -2
O y = -1
O y = 0
O y = 1
-2x
X+1?
The horizontal asymptote of the given function f(x) is y = –2.
What is defined as the horizontal asymptote?A horizontal asymptote is a straight line that is not part of a function's graph but guides it for x-values. "far" to a right and/or left.If a numerator and denominator have the same degree, this same horizontal asymptote is simply the fraction from the coefficient of their leading term.The numerator does have a degree one, and so does the denominator.
The foremost term in the numerator has a coefficient of -2.
In the denominator, the coefficient again for leading term is 1.
At y = -2/1, the horizontal asymptote exists.
Thus, the horizontal asymptote of the function is found as -2.
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what is -5/12 x 8/13 in simplist form
Answer:
-0.25641025641
Step-by-step explanation: