[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]
Answer:
x<3.5
Step-by-step explanation:
multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5
I hope u get it right!
pls quick plsssssssss
Answer:
[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]
= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Time Height
(seconds) (feet)
5
1150
10
1090
15
1030
20
970
25
910
at air balloon's initial rate of change (slope).
Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
Skills needed: Linear Equations, Substitution and Division
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
The slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] --> [tex]y_1[/tex], [tex]y_2[/tex], [tex]x_1[/tex], and [tex]x_2[/tex] are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]
[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.
==================================================================
1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.
Simplify: 1/6x + 42 + 2/5x - 8/3 -19
A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23
Answer:
A: 97/30x + 23
If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present after 13 years?
The weight of substance remaining after 13 years is 2.25 g.
Given:
Present weight of substance = 12 g
After 8 years weight remains = 6 gm
Now, weight loss in 8 year will be,
12-6=6 gm
So, weight loss in 1 year will be,
[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]
Total weight loss in 13 year will be,
[tex]\dfrac{3}{4}\times13=9.75[/tex]
The weight of substance remaining after 13 years will be,
[tex]12- 9.75 = 2.25 \;\rm g[/tex]
Therefore, the weight of substance remaining after 13 years is 2.25 g.
To know more about radioactive decay, refer to the link:
https://brainly.com/question/12116123
i need atleast 5 volunteers for the magic trick
What magic trick??
Are you gonna do a magic??
Sorry for a lot of questions.
What is the domain and range of this? Is it a function yes or no?
You have a total of 21 pens and pencils on your desk. You have 3 more pens than pencils. Write a system linear equations that represent this situation. How many of each do you have?
Answer:
x + y = 21x - y = 3
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP
Answer:
a, h and k have values 1, -5 and -10 respectively
Find the slope of this line.
Answer:
5/2
Step-by-step explanation:
To find a slope you use rise over run.
The graph shows that you rise 5 for every 2 right.
Question 30 of 56
Is this relation a function? Justify your answer
Answer: No, this relation is not a function.
Step-by-step explanation:
Two of the points with the same Y axis have different X values (as stated in answer A)
Which expression is equivalent to 6x-9/3
Answer:
option A is the answer 2x-3
Answer:
2x-3
Step-by-step explanation:
(6x-9)/3
This can be simplified to
6x/3 - 9/3
2x -3
Jacoby made and sold x candy bars in one week. His profit, P, in dollars is calculated using the formula P = R-C
where R represents his revenue and C represents his costs. If R = 3x^2 – x+ 6 and C = -7x^2– 7x + 2. what is
the expression that represents his profit in dollars?
Answer: P = 10x^2 +6x + 4
Step-by-step explanation:
P = R-C
R = (3x^2 - x + 6)
C = (-7x^2 -7x + 2)
P = (3x^2 - x + 6) - (-7x^2 -7x + 2)
P = 3x^2 - x + 6 + 7x^2 +7x - 2
P = 10x^2 +6x + 4
Combine the like terms to create an equivalent expression:
-k+3k
Answer:2k
Step-by-step explanation:
-k+3k
-1k+3k
(-1+3)k
2k
Answer:
2k
Step-by-step explanation:
-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..
What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?
Using proportions, it is found that the coordinates of the desired point are (2,2).
The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).The point C partitions the segment AB into a ratio of 3 to 2, hence:
[tex]C - A = \frac{3}{5}(B - A)[/tex]
This proportion is applied using both the x and y coordinates of the points, hence:
[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]
[tex]x + 4 = 6[/tex]
[tex]x = 2[/tex]
[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]
[tex]y + 1 = 3[/tex]
[tex]y = 2[/tex]
The coordinates of the desired point are (2,2).
To learn more about proportions, you can take a look at https://brainly.com/question/4854238
PLEASE HELP! Give explanations down below please! Thanks I am timed
Answer:
you need to divide all number
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
2x-3y=-14
5x+9y=-2
Answer:
Well to solve this I’m gonna use substitution
So
2x-3y=-14
5x+9y=14
I‘m gonna isolate ”x” on the first equation
So it’ll be
2x-3y=-14
2x=-14+3y
x=-7+1.5y
X is -7+1.5y
Now you can subsitute into other equations to find what Y is worth
So lets use the second equation
5(-1+1.5y) + 9y = 14
Now solve for y which is -2
If you subsitute Y back in an equation you’d get -4 for x
So y = -2
and X= -4
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733
Step-by-step explanation:
csc(Theta) = 1/sin(Theta) = 3.2362
Answer:
C. 3.2362
Explanation:
Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
341.5 square units
18.5 square units
17 square units
19 square units
The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:
[tex]T = (1, 8)[/tex]
[tex]E =(3, 8)[/tex]
[tex]X =(6, 2)[/tex]
[tex]A=(3, 2)[/tex]
[tex]S = (1, 4)[/tex]
The area of the pentagon is then calculated using:
[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]
So, we have:
[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]
Simplify the expressions in both brackets
[tex]Area = \frac 12|46 -84|[/tex]
[tex]Area = \frac 12|-38|[/tex]
Remove absolute bracket
[tex]Area = \frac 12 \times 38[/tex]
[tex]Area = 19[/tex]
Hence, the area of the pentagon is 19 square units
Read more about areas at:
https://brainly.com/question/1423568
solve for x and graph the solution on the number line
Answer:
[tex]\boxed{\sf x\ge \:-1}[/tex]
Step-by-step explanation:
[tex]\sf 4x\ge \:-4[/tex]
Divide both sides by 4:
[tex]\sf \cfrac{4x}{4}\ge \cfrac{-4}{4}[/tex][tex]\sf x\ge \:-1[/tex]__________________________________
PLEASE HELP QUESTION IN PICTURE
D and F are correct
Answer:
B
Step-by-step explanation:
First of all we know b is a parrellogram, so it is b.
But also other reasons:
It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
Answer:
-10sin45+15cos60=Hor distance = 5.92 km
-10cos45+15sin60=ver distance = .429 km
resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east
Step-by-step explanation:
Another company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year.
Answer:
120
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120
Plz help me! 25 POINTS!
Answer:
g(x) = 24(2^(x-1)) +16
Step-by-step explanation:
A function is stretched vertically by a factor of 'a' by multiplying by 'a'.
g(x) = 4·f(x) = 4(6(2^(x-1) +4)
g(x) = 24(2^(x-1)) +16
What is the equation please
Answer:
y = -2/5x - 2
Step-by-step explanation:
Answer:
y = 2/5x -2 or y = 0.4x -2
Explanation:
Step 1: Calculating Slope (m).
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-(-2)}{5-0}[/tex]
m = [tex]\frac{2}{5}[/tex]
m = 0.4
Now putting value of m in equation (i)
y = 0.4x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-2) for calculating y-intercept:
y = mx + b
-2 = 0.4(0) + b
-2 = 0 + b
-2 = b
b = -2
Now put the value of b in equation (ii)
y = 0.4x + -2
What’s the domain and range for this? And is it a function? Yes or No
You are given the domain and range ( the numbers in each oval):
If There is more than one arrow connected to a number, that number is listed the same amount
Domain (-4,0,6,6)
Range (12,18,18,40)
To be a function each input value ( Domain) can only have one output value (range)
Because the 6 has two different outputs ( 12, 18) this is not a function.
Answer:
The input 6 (domain) leads to two outputs thus it is not a function.
Step-by-step explanation:
Find the 75th term of the arithmetic sequence
16, 15, 14,
Answer:
[tex]a_{75}=-58[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:
[tex]15-16=-1\\14-15=-1[/tex]
Knowing both the common difference and the first term, you can write the equation for this sequence:
[tex]a_n=16+(n-1)(-1)[/tex]
Then you can use that equation to find the 75th term:
[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]
Find the area of this figure
Show work, please
Answer:
80 in2
Step-by-step explanation:
Here is my work shown in screeny
Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at
the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50
for materials. She sells each ornament for $6.00.
If x represents the number of ornaments sold at the craft fair, which of the following expressions
would represent Kay's profit? (Circle all choices that apply.)
A. -30 + 6x - 2.50x
B. 6x - 30 -2.50x
C. 6x - 30
D. 4.50x - 30
E. 3.50x - 30
Answer without link please
Answer: B
Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.
Please help me with this question.
Help Plssss it is due tommorrow!!!!! I think it is A i am not sure help
Answer: congruent bases
Step-by-step explanation:
what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.