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3 years ago

What value of x is in the solution set of 2(3x-1) ≥ 4x-6?

1 answer:

8 0

2(3x-1) >=4x-6
6x-2>=4x-6
6x-4x>= -6+2
2x>=-4
x>=-2

You can see after simplification, the valve of x can be any number greater than or equal to -2. i.e -5 and -3 can not be in the solution set. the first choice can be dismissed, the fact the variable O could be any number that may not satisfy the solution. Therefore 0-1 is the answer, any thing between 0 & 1 including 0 and one satisfy the solution set

You might be interested in

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In 2019 the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in 2019 the population be 1600 students

6 0

3 years ago

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he

nikdorinn [45]

Answer:

5 feet

The graphs intersect at x = 5.

8 0

2 years ago

The equation for a parabola has the form y=ax2+bx+c, where a, b, and c are constants and a≠0. find an equation for the parabola

IRISSAK [1]

The equation of parabola is

$y= ax^2 + bx +c$

For point (-1,-9), equation of parabola is

$-9 = a(-1)^2 +b(-1)+c
\\
-9 = a -b+c$

For point (1,7), equation of parabola is

$7 = a(1)^2 + b(1)+c
\\
7 = a + b +c$

For point (-6,-14), equation of parabola is

$-14 = a(-6)^2 +b(-6)+c
\\
-14 = 36a -6b +c$

So we have three equations , which are

$a - b + c =-9,
\\
a + b + c = 7
\\
36a -6b+c = -14$

Subtracting first two equation will give

$-2b = -16
\\
b=8$

Subtracting second and third equation gives

$a+b+c-36a+6b-c = 7+14
\\
-35a +7b = 21
\\
-5a + b =3$

Substituting 8 for b, we will get

$-5a + 8 =3
\\
-5a = -5
\\
a =1$

back substituting 8 for b and 1 for a, we will get

$1+8+c = 7
\\
c = -2$

So we have

$a=1, b=8 and c=-2$

Therefore required equation is

$y= x^2 +8x-2$

7 0

3 years ago

I'm having difficulty finding out what a slope is and does

olchik [2.2K]

"Slope is denoted by the letter m; there is not a clear answer to the question "y = mx + c". The direction of a line is either increasing, decreasing, horizontal or vertical."

6 0

3 years ago

Read 2 more answers

How do I get the ans??

ioda

Answer:

11 sets of forks

Step-by-step explanation:

First subtract 406-278 to find total amount of forks needed which is 128 forks.

Then divide 128 by 12 to see how many sets of forks you need.

You get 10.67 but because you can't buy two thirds of a set, you have to round up to 11 sets of forks.

Hope this helps :)