The ordered pairs that are in the solution set of the system of linear inequalities are (2 ,2), (3 , 1) and (4 , 2).
What is system of equations?A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system.
Given the system of linear inequalities:
y > -3x + 2
y< 2x + 3
Substitute the value of x and y for each given ordered pair.
For (2, 2) x=2 and y =2:
y > -3x + 2
2 > -3(2) +2
2> -4 True.
y< 2x + 3
2 < 2(2) +3
2< 7 True
For (3, 1) x=3 and y=1:
1 > -3(3) + 2
1 > -7 True
y< 2x + 3
1 < 2(3) + 3
1< 9 True
For (4 , 2) x=4 and y =2
y > -3x + 2
2 > -3(4) +2
2 > -10 True.
y< 2x + 3
2 < 2(4) + 3
2 < 11 True.
Hence the ordered pairs (2 ,2), (3 , 1) and (4 , 2) are in the solution set of the system of linear inequalities.
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Find the greatest common factor of 21, 35, 49.
Answer:
You can use formulas for finding them but this is my best method.
Step-by-step explanation:
21=3×7
35=5×7
49=7×7
Finding the hcf or gcf you will first find the common numbers between all the prime factors which is 7.
Therefore gcf of 21,35 and 49 is 7
A school is selling cookies as a fundraiser. Each box contains 10 cookies. Each student can sell 17 boxes of cookies. How many cookies can 11 students sell
11 students could sell 1870 cookies.
Explain about the expressions?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.
= 10 X 17
= 170 X 11
= 1870
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3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3
How many times greater is 904.32 than 113.04!!!!
PLS HELP
Answer: 8 times greater
Step-by-step explanation: divide them 904.32/113.04 and you'll get 8
The teacher gave a true and false quiz where P(true) = 0.8 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
Answer: 0.8 what?
Step-by-step explanation:
prolly likely
PLEASE HELP BRANLIEST!!!!
Answer:
A. y = (x + 3)(x - 2)
Step-by-step explanation:
I used the points where the line crosses the x - axis. (0,-3 and 0,2).
Also, graph it. I use desmos.
Answer:
A)
Step-by-step explanation:
Graphed the equation
Suppose the population of a small town is 567 in 2011. The population decreases at a rate of 1.5% every year. What will be the population of the town in 2020?
Answer: 495 people
Step-by-step explanation:
As this involves the population in a future year, you can use the future value model for this:
= Population * ( 1 + rate of increase) ^ number of years
Number of years = 2020 - 2011
= 9 years
Rate of increase will be negative to show that it is a decrease.
= 567 * ( 1 - 1.5%) ⁹
= 494.9
= 495 people
Please help ASAP!
Write the recurring decimal 0.123 (1 and 3 being the repeated) as a fraction
(2, -4) and (-3, -3) write the linear equation in slope intercept form given the following
Answer:
y = -1/5x - 3.6
Step-by-step explanation:
(2, -4) and (-3, -3)
m = -3+4/ -3-2
m = 1/-5
m = -1/5
y = -1/5x + b
-4 = -1/5(2) + b
-4 = -0.4 + b
b = -3.6
y = -1/5x - 3.6
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
Find an equation of the circle that has center -(-5,6) and passes through (-1,1).
Answer:
[tex](x+5)^2+(y-6)^2=41[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius
1) Plug in the center (-5,6)
[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]
2) Plug in the given point (-1,1) and solve for r²
[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]
Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:
[tex](x+5)^2+(y-6)^2=41[/tex]
I hope this helps!
what is the next operation that should be done when evaluating this expression?
9-12+-2+3(-3)
a) 3(-3)=-9
b)-2+3=1
and if you dont mind showing how you did it so i can learn it thanks!
The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9
How to calculate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.
In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.
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5 feet x 3 feet x 2 and 1/4
Answer:
3.1354776 m2
Step-by-step explanation:
Answer: 33.75
Step-by-step explanation:
5 times 3 is 15 and 15 times 2 1/4 is 33.75
I’ll brainliest you please help me
Answer:
a. 15 inches
Step-by-step explanation:
Pythagorean theorem:
a² + b² = c²
a² = 9in
b² = 12in
9² + 12² = c²
9² = 81
12² = 144
81 + 144 = 225
c² = 225
simplify = √225
√225 = 15
triangle ABC has a perimeter 22cm
AB=8cm
BC=5cm
by calculation, deduce whether ABC is a right angle triangle?
6. It took Mrs. Whitaker's class 4 hours to build a snowman.
They decided to build a second snowman, but this time it took
only half the time it took to build the first one. What was the
total amount of time to build both?
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
1st snowman took time t = 4 hours
2nd snowman take half of the first t / 2 = 2 hours
so total time
= t + t/2
= 4 + 2
= 6 hours
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
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Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.
A. Process mean is not within statistical control. One of the points lies above the upper control limit.
B. Process mean is not within statistical control. There are points above and below the control limits.
C. Process mean is not within statistical control. There is an upward trend which is indicating an increase in variation.
D. Process mean is within statistical control.
Answer:
(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.
Step-by-step explanation:
Gradpoint
How can you identify and write equivalent expressions?
You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.
What is an Equivalent expression?These are the type of expressions that have similar value or worth but do not look the same.
This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:
3(x + 3) and 3x + 9
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plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD
Answer:
y = 1/2x + 0
Step-by-step explanation:
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from point A to C is 16ft. What is the distance from point A to B?
A. 8ft
B. 7ft
C. 9ft
D. 6ft
What is the equation for the linear relationship in slope intercept form?
Answer:
y=-2/3x+4
Step-by-step explanation:
slope intercept form = y=mx+b
y=-2/3x+4
Find the equation of the line.
Answer:
[tex]y=\frac{9}{10}x-\frac{7}{5}[/tex]
Step-by-step explanation:
Using the points [tex](-4,-5)[/tex] and [tex](6,4)[/tex], the slope is [tex]m=\frac{-5-4}{-4-6}=\frac{9}{10}[/tex].
Using point-slope form:
[tex]y+5=\frac{9}{10}(x+4) \\ \\ y+5=\frac{9}{10}x+\frac{18}{5} \\ \\ y=\frac{9}{10}x-\frac{7}{5}[/tex]
What is the solution to the system of equations?
Answer:
(2,5)
Step-by-step explanation:
First, we notice that
y = -x + 7
y = 2x + 1
Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means
-x+7 = 2x+ 1
Add x to both sides
7 = 3x+1
Subtract 1 from both sides
6 = 3x
x = 2
Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.
y = -x + 7
y = -(2) +7
y = 5
Therefore, the answer is
x= 2
y = 5
(2,5)
PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%
The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.
Therefore the answer is d) $1,662.50.
Here is the breakdown of the calculation:
Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000
The first $3,500 are taxed at 3%, which is
= 0.03×3500
= $105
The next $3,500 are taxed at 4.5%, which is
= 0.045×3500
= $157.50
The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is
= 0.07×20000
= $1,400
Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.
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PLEASE HELP WILL MARK BRAINIEST AND NO LINKS!!!!
Answer:
a. 5 seconds
b. 1 second
Step-by-step explanation:
Plug the values into the equation and solve for t.
[tex]f(t)=-16t^2+400\\f(t)=-16t^2+16[/tex]
- 2 3/4-(-1 1/2)+(-5/6)-(3/8)-(+4 2/3)
Answer:
-57/8
Step-by-step explanation:
- 2 3/4 - (-1 1/2) + (-5/6) - (3/8) - (+4 2/3)
= -7.125
Please help me on this
Answer:
A) 226.9
Step-by-step explanation:
tan80=x/40
Find the Circumference of the circle. Leave your answer in terms of TT
Formula: C = 2
Plsss help nowww
Answer:
C = 18π m
Step-by-step explanation:
The circumference (C) of the circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 9 = 18π
Select all expressions that are equivalent to 3x - 2 (x - 4) - 1
Answer:
x+7
Step-by-step explanation:
Remove Parentheses
Collect like terms
Calculate
Answer: x+7
Step-by-step explanation: distribute the -2 first
3x - 2x + 8 - 1
simplify (combine like terms )
3x-2x= x
8-1= 7
x+7
Hope this helps (^_^)
(-2) (-3) less greater than equal than 8- (-2)
The true statement is 6 less than 10
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
(-2) (-3) less greater than equal than 8- (-2)
We start by evaluating each expression
So, we have the following representation
(-2) (-3) = 6
8- (-2) = 10
Substitute the known values in the above equation, so, we have the following representation
6 less greater than equal than 10
6 is less than 10
So, we have
6 less than 10
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