The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
−5x + 3y > 12
a) (3, 9)
−5x + 3y > 12
-5(3) + 3 (9) > 12
-15 + 27 > 12
12>12
b) (-5, 5)
−5x + 3y > 12
-25 + 15 > 12
-10>12
c) (3, -6)
−5x + 3y > 12
-15 -18 > -12
-23> -12
d) (-2, -5)
−5x + 3y > 12
10 - 15 > 12
-5> 12
e) (2, 8)
−5x + 3y > 12
-10 + 24 > 12
14>12
f) (-6, 0)
−5x + 3y > 12
30 + 0 > 12
30>12
Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
Learn more about inequality here:
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Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
x and y are supplementary angles. y measures 97 What is the measure of x?
Answer:
83
Step-by-step explanation:
supplementary angles have sum of 180
h (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))
Answer:
[tex]h(g(t))=8t+8[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]h(t)=2t-2\text{ and } g(t)=4t+5[/tex]
And we want to find:
[tex]h(g(t))[/tex]
So, by substitution, we acquire:
[tex]h(g(t))=2(4t+5)-2[/tex]
Distribute:
[tex]h(g(t))=8t+10-2[/tex]
Simplify:
[tex]h(g(t))=8t+8[/tex]
The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?
Answer:
12 options
Step-by-step explanation:
Blue
Blue and Lion
Blue and Bear
Blue and Porpoise
Black
Black and Lion
Black and Bear
Black and Porpoise
Brown
Brown and Lion
Brown and Bear
Brown and Porpoise
Grey
Grey and Lion
Grey and Bear
Grey and Porpoise
There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from
what is 4/5 + 1/3 i am just checking for my maths test
Answer:
Exact Form:
17/15
Decimal Form:
1.1333333.....
Mixed Number Form:
1 2/15
Answer:
17 / 15
Step-by-step explanation:
LCM of 3 and 5 is 15.
4 / 5
= ( 4 / 5 ) x ( 3 / 3 )
= 12 / 15
1 / 3
= ( 1 / 3 ) x ( 5 / 5 )
= 5 / 15
( 4 / 5 ) + ( 1 / 3 )
= ( 12 / 15 ) + ( 5 / 15 )
= ( 12 + 5 ) / 15
= 17 / 15
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answer:
0.89
Step-by-step explanation:
Trust
The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars
Answer:
900
Step-by-step explanation:
135/7.5= x/50
cross multiply
7.5x=6750
x=900
Find the area of the trapezoid 10ft, 7.5ft, and 13.5ft
Solve the following inequality: 10 - 2x ≥ 12.
Answer:
x<(with a line underneath)-1
Step-by-step explanation:
10-2x>(with a line underneath)12
-10 -10
-2x>(with a line underneath)2
/-2 /-2
x<(with a line underneath)-1
5.
Convert each of the following fractions to a decimal using long division.
13
32
A.
B.
0
8
write the sentence as an inequality. A number x is greater than 6 but less than 10.
Answer:
6>x<10
Step-by-step explanation:
also put a line under both > <
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
(7x-11)+(6x-5)+(3x+6)+(4x+7)=
The following data points represent the number of
patients that were seen by each doctor at Brodin Medical
Center last week.
Sort the data from least to greatest.
4 9
17 7 12
11
5
Find the median number of patients.
The circumference of a circle is 604 cm. What is the diameter of the circle?
Step-by-step explanation:
The Circumference is:
[tex]c = 2\pi \: r[/tex]
Radius r is:
[tex]r = \frac{d}{2} [/tex]
So,
[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]
7
1. Represent these numbers on the number line. (i)7÷4
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.....
Choose the equation that best describes the image.
Answer:
D
Step-by-step explanation:
your welcome!!!!!!! :D :)
A) 96
B) 59
C) 128
D) 102
Convert 5/3 into a ratio
Answer:
5:3
Step-by-step explanation:
step one: reduce the fraction
(since 5/3 is a reduced as it can get we can 'skip' this step)
step two: rewrite as a ratio
5/3
=5 : 3
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
What in the mean, the range, the median, the mode. For the numbers 480, 296,480, 384, 368, 352, 416, 440.
Plz help me I need these answers asap
Answer:
Mean is 402
Median is 400
Mode is 480
Range is 184
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mean: 402
296, 352,368, 384, 416, 440, 480, 480
Range: 184
Median: 592
Mode: 480
[tex](2/3)^{3}[/tex]
Answer:
[tex]\frac{8}{27}[/tex]
Step-by-step explanation:
[tex](\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}[/tex]
The base of a rectangular prism has a length of 36 centimeters and a width of 29 centimeters. If the volume of the rectangular prism is 7,830 cubic centimeters, how long is the HEIGHT of the prism?
Answer:
7.5
Step-by-step explanation:
you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check
Which is the equivalent expression, please help!
Answer:
The first choice
Step-by-step explanation:
A penny is dropped from the observation deck at the top of The Willis Tower in Chicago, IL. The height of the penny at any time is given by the equation H = 1450 – 16t2, where H is the height of the penny in feet and t is the time measured in seconds. How long will it take for the penny to hit the ground? Round your answer to the hundredths place.
Answer:B
Step-by-step explanation:because you need to add
The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)
A. $360
B. $280
C. $64
D. $225
Answer:
D. 225
Step-by-step explanation:
What is the least amount of green ooze any one contestant carried?
Answer:
Step-by-step explanation:
Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.
Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.
72,-36,18,-9 find the common ratio
giving brainliest!! easy*
Answer:
4521.6
Step-by-step explanation:
pi*r^2*h = pi*144*10 = 1440 pi which is roughly 4521.6
Answer:
979.68
Step-by-step explanation:
The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.
Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help
Answer:
[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]
Step-by-step explanation:
Use coordinates (2,1) and 3,10
The exponential equation is
[tex]y = a \times b {}^{x} [/tex]
Plug in the x and y values.xfor both functions of coordinates.
[tex]1 = a \times b {}^{2} [/tex]
[tex]10 = a \times b {}^{3} [/tex]
Divide the equation with the larger exponet by the other equation.
[tex]10 = b[/tex]
Substitute that in for one of the equations.
[tex]10 = a \times 10 {}^{3} [/tex]
Solve for a.
[tex]10 = a \times 1000[/tex]
[tex] \frac{1}{100} = a[/tex]
So our exponetial equation is
[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]