3x + 2y ≥ 120
you are asking me to confirm whether the below statement is true
10 * 3 + 45 *2 ≥ 120 ?
30 + 90 = 120
120 ≥ 120
its not greater but its equal which means it is a possible solution
number?
(p)
6.
Nathan bought a CD player for $30 more than one-half of the original price. If he
paid $120 for the CD player, what was the original price?
what is the radius of the circle whose equation is x2+y2=18
Answer:
r = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x-a)^2+(y-b)^2=r^2[/tex]
where (a, b) is the center and r is the radius
Therefore, for the equation [tex]x^2+y^2=18[/tex]
a = 0b = 0r² = 18⇒ r = [tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]
2) Simplify the expression:
9[m - 3) + 2(-10 + 7m)
Answer:
23m-47
Step-by-step explanation:
Distribute 9 to m and -3
Distribute 2 tp -10 and 7m
9m-27-20+14m
Subtract:
9m-47+14m
Group like terms:
9m+14m-47
Add similar elements 9m+14m=23m:
23m-47
From Lesson 6.04 Piecewise Functions
The graph below models how one county fines drivers that get a ticket for speeding based on how many miles over the speed limit. Based on the graph, what would the fine be for a person that was ticketed for driving 62 mph in a zone that had a maximum speed of 55 mph?
$150
$100
$50
$200
Answer:
$100
Step-by-step explanation:
The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.
At school, the maximum numer of students that can be in the classroom is 27. If there 20 students signed up for the geometry class, how many more students can join the class?
Answer:
7.
Step-by-step explanation:
Since there is a total of 27 per class, and 20 are already in the class, you can do 27-20= 7 student slots left.
What is the solution to the system of equations? (Hint: Use Substitution.)
2 lines Line 1: y equals negative 3 x plus 6 Line 2: y equals 9
Answer:
(-1,9)
Step-by-step explanation:
y = -3x + 6
y = 9
-3x + 6 = 9
-3x = 3
x = -1
y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,
-3(-1) + 6 = 9
(-1,9)
Which relation is a function? Help please
Answer:
The bottom right (v shaped one) is a function
Step-by-step explanation:
Hope this helps:)
Answer:
The one in the bottom right that is an absolute value function.
Step-by-step explanation:
You can use the "vertical line test" to determine whether a given graph is a function or not. If you can draw a straight, vertical, line anywhere and it intersects the graph more than once, then it is not a function. The one in the bottom right is therefore the answer.
Which of the following illustrates the Distributive Property of Multiplication over addition?
Answer:
x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.
I need to solve xy I am so confused please
Answer:
Step-by-step explanation:
In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.
1) -3 ; 3 ; (-3,3)
2) -2 ; 2 ; (-2,2)
3) -1 ; 1 ; (-1,1)
4) 0 ; 0 ; (0,0)
5) 1 ; 1 ; (1,1)
6) 2 ; 2 ; (2,2)
7) 3 ; 3 ; (3,3)
Use your calculator to work out
13.7
3.052 + 2.6
Write down your full calculator display.
The diagram shows a rectangle. Its width is 3a, and its height is 5b. Write down an expression for the area of the rectangle. Simplify your answer.
Area of a rectangle = height × width
= 5b × 3a
= 15ab
HELP FAST! AND NO LINKS! There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6). AB is transformed to form A'B', which is shown on the graph. Which transformation below caused AB to transform into A'B'?
A. a reflection across the x-axis
B. a counter-clockwise 90 degree rotation about the origin
C. a reflection across the y-axis
D. a translation 3 units down and 7 units left
Answer:
a counter-clockwise 90 degree rotation about the origin
Step-by-step explanation:
Answer:
A reflection across the y-axis.
Step-by-step explanation:
I took the test :)
An item is regularly priced at $40 It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?
12 dollars is discounted off, making the price 28 dollars.
Step-by-step explanation:
10 percent is 4$, 4×3=12
A photograph measures 10 inches wide by 18 inches long. The picture is reduced so that the length is 6 inches, what is the new width?
Answer:
19
Step-by-step explanation:
Answer:
The width would be 3 1/3 inches or 3.333 repeating
Step-by-step explanation:
Since you divide the length by 3, you would also have to divide the width by 3. 10 divided by 3 is 3 1/3 or 3.333 repeating (whichever one you choose).
There are 96 students in 5th grade. Five-eighths of the students are boys. How many students are
boys?
A. 58 boys
B. 60 boys
C. 62 boys
D. 54 boys
Answer:
The answer is B. 60 boys
Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please
Help plssss this is k12!
Which function is equivalent tof(x)=4x2+12x+9?
Question 6 options:
(4x+3)(x+3)
(2x+3)2
(2x−3)2
(4x−3)(x−3)
Answer:
[tex](2x+3)^{2}[/tex]
Step-by-step explanation:
Factor the equation (I got 36 because I multiplied 4x9)
You need to find two numbers that multiple to equal 36 but add to equal 12
6 x 6 = 36
6 + 6 = 12
I used to box method to factor it further into (2x+3)^2
Hi some one please help me
Answer:
There is no question.
Step-by-step explanation:
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled x squared, 1 is labeled x, the 3 tiles below x squared are labeled negative x, and the 3 tiles below the x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x 3) (x 1) and (x − 3) (x − 2) and (x 3) (x 2) and (x − 3).
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Amy will be using a t-chart to find 3 points for this linear function: f(x)= 3x -2. Which chart below is the correct answer for this function. WILL GIVE BRAINLIEST
The points for a linear function are (0, -2), (1, 1) and (2, 4)
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that the relationship between f(x) and x is given by:
f(x) = 3x - 2
When x = 0: f(0) = 3(0) - 2 = -2
When x = 1: f(1) = 3(1) - 2 = 1
When x = 2: f(2) = 3(2) - 2 = 4
The points for a linear function are (0, -2), (1, 1) and (2, 4)
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
(0, -2) (1, 1) (-3, -11)
Step-by-step explanation:
Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine
B B B 5 , 6 , and 7
. Explain how you determined these amounts.
(b) Estimate
B B B 1 , 2 , and 3
. Explain how you determined these amounts.
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?
Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c) I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.
Step-by-step explanation:
I NEED HELP ASAP!!!!
Answer:
(a) 1
(b) 1 3/4
(c) [-2, 4]
(d) [-1/4, 2]
Step-by-step explanation:
Apparently, the vertex of the graph is (1, 2) and it goes through points (-1, 1) and (3, 1). In vertex form, the equation for this is ...
y = a(x -1)^2 +2
We can find the value of 'a' from the point (3, 1):
1 = a(3 -1)^2 +2 = 4a +2 . . . . substitute for x and y, and simplify
-1 = 4a . . . . . . . subtract 2
-1/4 = a . . . . . . divide by 4
So, ...
f(x) = -1/4(x -1)^2 +2
__
(a)Above, we assumed point (-1, 1) was on the graph:
f(-1) = 1
__
(b)Using the equation we found, ...
f(2) = -1/4(2 -1)^2 +2 = -1/4 +2
f(2) = 1 3/4
__
(c)The domain is the horizontal extent of the graph, apparently from x = -2 to x = 4.
domain: [-2, 4] or -2 ≤ x ≤ 4
__
(d)The range is the vertical extent of the graph. The minimum can be found at the end of the domain:
f(4) = -1/4(4 -1)^2 +2 = -9/4 +2 = -1/4
The maximum has already been established as the vertex at y=2.
range: [-1/4, 2] or -1/4 ≤ y ≤ 2
16x + 2 so what do you think it is tho
Answer:
you can't add them technically because they aren't the same
if it was 2x then you could add them
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Answer:
1/3
Step-by-step explanation:
This is about the interpretation of the graph
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
Hope it helps you mark me as brinllent
Please help me I need this please
Answer:
Answer is $3
Step-by-step explanation:
$3 x 0.75 (75%) = $2.25
$3 - $2.25 = $0.75
What is the sum of the measures of the interior angles of a 20-sided figure?.
Answer:
3240°
Step-by-step explanation:
The equation to find the sum of the measures of the interior angles of a figure is:
(n-2)*180
Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:
(20-2)*180=18*180=3240°
41 POINTS PLS HELP AND PLS GET IT RIGHT THX
The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in the simplest form by filling in the boxes.
Answer:
Below :D
Step-by-step explanation:
Corresponding equation:
A relationship represents a proportional diagram.
So we can express it as, y/x=k
Answer= y 1/5x
substitute (20,4)
4= 20x/.
Divide both sides by 20.
so we have.
y=1/5x.
Answer:
[tex] \frac{y - y1}{x - x1} \\ \frac{y - 4}{x - 20} \\ m = \frac{y - 4}{x - 20} \\ 1 = \frac{y - 4}{x - 20} \\ x - 20 = y - 4 \\ - y = - x - 4 + 20 \\ - y = - x + 16 \\ \frac{ - y}{ - } = \frac{ - x}{ -} + \frac{16}{ - } \\ y = x - 16[/tex]
solve 3x^2-18x-7=5 by completing the square
Answer:
x= [tex]\sqrt13 +3[/tex]
Step-by-step explanation:
3.6 × 6 long multiplacation
"The trees are soldiers marching along the drive" Is it an example of personification a metaphor or a simile?
Answer:
Its personification they givin human characteristics to non human thangss
can someone please answer this
Answer:
Step-by-step explanation:
Angle j is the measure of the interior angle of a regular hexagon, so its measure is 180(4/6) = 120 degrees.
Angle k can be found using the fact that the sum of the interior angles of a quad is 360.
So k = 360 - 180 - 142 = 38 degrees