The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
How to represent the inequality?
Here we have the inequality:
–3(2x – 5) < 5(2 – x)
First, we need to isolate x in one side of the inequality, we will get:
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-column table with 6 rows. the first column is labeled people working with entries 2, 4, 6, 8, 10, 12. the second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. which model best represents the data? y = 47(1.191)x y = 34(1.204)x y = 26.9x – 1.3 y = 27x – 4
The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is y = 27x - 4.
Table showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given y= 47 * 1.191ˣ y= 34 * 1.204ˣ y=26.9x - 1.3 y = 27x - 4
To Choose the model which best represents the data.
What is choosing the best model data?To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.
People Working lines of code
2 50
4 110
6 160
8 210
10 270
12 320
x y= 47 * 1.191ˣ y= 34 * 1.204ˣ y=26.9x - 1.3 y = 27x - 4
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Below 2 0 4 1
on line 0 0 0 2
Above 4 6 2 3
Therefore y = 27x - 4 is the best fit
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Answer:
y = 27x - 4
mark me as brainliest
Step-by-step explanation:
please help please please
Answer:
1) 27
2) 63
Step-by-step explanation:
cos-1(17/38)= 63.425...= 63= angle C
90-63= 27=angle A
What is the initial value of a=75t + 125?
· Write the equation of the circle in standard form. Then, find its
radius and center.
x2 + y2 + 14x – 12y + 4 = 0
Answer:
Center: (-7,6)
Radius: 4
Step-by-step explanation:
Hope this helps :)
Given that x + y= 180, p + 9 = 180, and p = x. Show that y= q. 1) Which step would be used to prove the argument? es A) x + p = 180 B) x + y = p +9 (9y+ = 180 D) 2x + 2y = 180
Answer:x + y = 180
p + q = 180
p = x
Show that y = q
x = 180 - y
p = 180 - q
p = x
180 - q = 180 - y
-q = 180 - y - 180
-q = -y
-q/-1 = -y/-1
q = y OR y = q
x + y = p + q CHOICE B.
180 - y + y = 180 - q + q
Step-by-step explanation: your welcome
WILL GIVE BRAINLIEST!!!
Solve 2(3y + 7 + 5) = 180. Solve ALL steps.
[tex]2(3y + 7 + 5) = 180\\\\ \implies 3y+12=\dfrac{180}2 \\ \\ \implies 3y+12 = 90\\\\\implies 3y = 90-12\\\\\implies 3y = 78\\\\\implies y= \dfrac{78}3 \\\\\implies y=26[/tex]
Answer:
y = 26
Step-by-step explanation:
2(3y + 7 + 5) = 180
6y + 14 + 10 = 180
6y + 24 = 180
-24 -24
6y = 156
÷6 ÷6
y = 26
I hope this helps!
The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph
Answer:
Use the slider to change the value of k.
Positive values of k shift the graph ✔ up.
Negative values of k shift the graph ✔ down
Step-by-step explanation:
Transformation involves changing the position of a function.
The true statements are:
Positive values of k shift the graph up
Negative values of k shift the graph down
The functions are given as:
The equation of g(x) implies that, f(x) is translated or shifted vertically.
The possible values of k are:
k is greater than 0 i.e. positive
k is less than 0 i.e. negative
When k is positive, then the graph of the function shifts up
If otherwise (i.e. k is negative), then the graph of function shifts down
Changing the value of k in the function g(x) = |x| + k affects the graph by shifting it vertically.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Horizontal translation: g(x)=f(x+c).
The graph is translated as c units to the left if c>0 and c units to the right if c<0.
Vertical translation: g(x)=f(x)+k.
The graph is translated as k units upward if k>0 and k units downward if k<0.
When k is positive, the graph of g(x) is shifted upward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be greater than f(x) by k units, due to the addition of k to the absolute value of x.
Conversely, when k is negative, the graph of g(x) is shifted downward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be less than f(x) by k units, due to the subtraction of k from the absolute value of x.
Therefore, changing the value of k in g(x) = |x| + k shifts the graph vertically, either upward or downward, depending on the sign of k.
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In ΔLMN, l = 3. 9 cm, m = 2. 7 cm and ∠N=133°. Find the area of ΔLMN, to the nearest 10th of a square centimeter
Answer:
3.9 cm²
Step-by-step explanation:
The area formula for a triangle when sides 'a' and 'b' and angle C are known is ...
A = 1/2ab·sin(C)
__
The area of the specified triangle is ...
A = 1/2(3.9 cm)(2.7 cm)sin(133°) ≈ 3.85058 cm²
The area of ΔLMN is about 3.9 square centimeters.
Let () = −22 − 8 + 4. Then (a) write the function in vertex form. (b) identify the vertex. (c) determine the x-intercept(s). (d) determine the y-intercept. (e) sketch the function. (f)
determine the axis of symmetry. (g) determine the minimum or maximum value of the function. (h) write the domain and range
Answer:
Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola.
Work out 4 5 ÷ 7 15 Give your answer as a mixed number in its simplest form.
Answer:
1/9
Step-by-step explanation:
look up mixed numbers calculator soup , it helps you <3
Answer:
1 37/50
Step-by-step explanation:
4/5÷7/15 =
1.74 =
1 74/100 =
1 37/50
How many values are between 30 and 50?
between 30 and 50 is approximately 40
What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Answer:
the anwer is 5 cm3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Which of the triangles does not have the same base length as the others?
Answer:
Triangle C :)
Step-by-step explanation:
On the chart, it shows us that triangle c has the largest base at 5 units long :)
Have an amazing day!!
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The sixth term is 22. the common difference is 6 what is the 15th term?
Answer:
The general formulaa for an arithmetic sequence is:
a(n) = a + d(n - 1)
Step-by-step explanation:
Answer is a(n) = a + d(n - 1)
What type of triangle is defined by the following set of side lengths
10, 9, 5
Acute
Obtuse
Right
Not a triangle
Answer:
Acute
Step-by-step explanation:
Hope it helps you in your learning process.
Hello there.
Question:What type of triangle is defined by the following set of side lengths
10, 9, 5
Answer:
Acute
Step-by-step explanation:
The triangle perimeter is the sum of the lengths of its three sides.
[tex]p=a+b+c=10+9+5=24[/tex]
The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.
[tex]s=\frac{p}{2} =\frac{24}{2} =12[/tex]
using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]T=\sqrt{12(12-10)(12-9)(12-5)}[/tex]
[tex]T=\sqrt{504}=22.45[/tex]
There you go :) I even calculated it for you.
Hope this helps!
If you have any questions please ask.
The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 are shown on the graph.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y ≤ x^2 – 3
y > –x^2 + 2
The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.
Now for the point (0, 0). Then we have
0 ≤ 0² – 3
0 ≤ – 3
which is false
Then the region is opposite to the origin.
Similarly, we have
0 > 0² + 2
0 > 2
which is false
Then the region is opposite to the origin.
Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.
The graph is shown below.
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Max goes to school which is 5 miles away he skips 3/14 of the way and then walk the rest of the way how many miles does he skip
Answer:
1.07142857143 (1 rounded)
Step-by-step explanation:
3/14 of 5 is 1.07142857143
Tineka has a sack that contains 7/12 lb of jellybeans. If she splits the jellybeans into 2 piles of equal weight, how much will each pile weigh?
F 3/16
H 1 1/16
G 7/24
J Not here
The weight of each of the two piles Tineka split the jellybeans in the sack to is 7/24 lb.
What is the weight of each pile?
Division is when two numbers are grouped into equal parts using another number. The sign used to denote division is ÷.
In order to determine the weight of each pile, divide the weight of the sack by 2.
Weight of each sack = 7/12 ÷ 2
7/12 x 1/2 = 7/24
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HURRRYYYY
The diagram shows a cone of the height of 8 units and a base radius of 6 units.
What is its volume?
Answer:
Option A :- V = 301.44
Step-by-step explanation:
Formula= V = (1/3)πr²h
Volume = 1/3 × 22/7 × 36 × 8
⇒ 301.44
find the surface area. help i’m confused
4 The following stem plot shows the number of text
messages that students send in one day. Draw a pie
chart that represents this data.
Number of Text Messages Students Sent in One Day
Stem
Leaves
o 37
1
0011223445 77 88 89
2 013557
Key: 10 = 10
The pie chart of the number of text messages sent by the students represents the stem plot using a circle graph
How to represent the stem plot on a pie chart?The stem plot is given as:
0 | 37
1 | 0011223445 77 88 89
2 | 013557
From the above stem plot, we have the following frequency table
SMS Frequency
0 - 9 2
10 - 19 16
20 - 29 6
Total 24
Next, we determine the relative frequency table
SMS Frequency Relative Frequency
0 - 9 2 2/24 = 8.33%
10 - 19 16 16/24 = 66.67%
20 - 29 6 6/24 = 25.0%
Total 24 100%
Next, we plot the pie chart
See attachment for the pie chart
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You’re given two side lengths of 3 cm and 5 cm. Which measurement can you use for the length of the third side to construct a valid triangle?
1. 8cm
2. 6cm
3. 4cm
4. 10cm
5. 2cm
Rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c
pls help me thank you
Answer:
C
Step-by-step explanation:
a and b add to 180 degrees also known as a straight line
Answer:
supplimentarry
Step-by-step explanation:
add up to be 180
Solve the following exponent:
70
Answer 70 = 7070
Step-by-step explanation: denotes how many times to multiply the base (70)
i need t know the answer and what that's called
the answer is around 1.73, so its a little over the 1.5 mark. also, im not sure if this is what you meant, but the phrase is radical 3, or the square root of 3 :)
its the blue line!!!!
Tomas learned that the product of the polynomials (a b)(a2 – ab b2) was a special pattern that would result in a sum of cubes, a3 b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y. which product should tomas choose? (2x y)(2x2 2xy – y2) (2x y)(4x2 2xy – y2) (2x y)(4x2 – 2xy y2) (2x y)(2x2 – 2xy y2)
The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.
His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.
Then the polynomial equation will be
(2x + y)(4y² – 2xy + y²)
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Answer:
C
Step-by-step explanation:
2022
Use the formula A = bh to find the
area of a rectangular-shaped garden
with a base of 8 feet and a height of
7 feet
Answer:
Hope it helps.....................
?? Honestly so confused
Answer:
[tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex]
Step-by-step explanation:
The equation for thr function f(x) is [tex]f(x)=\left(x-1\right)^{2}[/tex] . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be [tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex] .
Hope this helps! :)
rationalise 1/√7-√3
PLEASE GIVE ANSWER IT'S URGENT
[tex]\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)[/tex]