What is the linear inequality that represents the graph shown?​

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4

Answer:

44%

Step-by-step explanation:

So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.

This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).

The total amount of liquid is 8+12 = 20

The total amount of acid is 6.4+2.4 = 8.8

Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%

Answer:

A

Step-by-step explanation:

Answer:
[tex](8x-5)^{2}[/tex]

Step-by-step explanation:

Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25

Rewrite 25 as 5^2.

(8x)^2−80x+5^2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

80x=2⋅(8x)⋅5

Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]

Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]

Answer:

D. 6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i took the test

Answer 1/25 or decimal 0.008

Step-by-step explanation:

Answer:

0.008

Step-by-step explanation:

helo

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Answer:

"The product of thirty and a number is six".

30n=6 is the right answer.

Answer:

Each of the other side is 184 feet.

Step-by-step explanation:

Given that:

Length of two sides each = 104 feet

Total length of all sides = 576 feet

Let,

x be the length of other one side.

Length of other two sides will be 2x.

Total length of sides = 2x + 2(104)

576 = 2x + 208

2x = 576 -208

2x = 368

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]

Hence,

Each of the other side is 184 feet.

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.

Then, according to question,

[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]

Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get

[tex]4.15x+5.25(4x)=980.85[/tex]

⇒[tex]4.15x+21x=980.85[/tex]

⇒[tex]25.15x=980.85[/tex]

⇒[tex]x=\frac{980.85}{25.15}[/tex]

⇒[tex]x=39[/tex]

Therefore, 39 pounds of type A coffee were used.

Step-by-step explanation:

|x + 5| > -1

Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.

Answer:

x> -6

Step-by-step explanation:

|x+5|> -1

x+5 > -1

  -5    -5

x> -6

Answer:

He walked at 1 mile per hour

Step-by-step explanation:

Answer:

He walked at 1 mph

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

Answer:

1530 < 12530

Step-by-step explanation:

i12530 is a bigger number than 1530

Answer:

what statement?

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

Answer:

your answer will be 22

Step-by-step explanation:

if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

Answer:

[tex]\theta = 120, 240[/tex], in degrees

Step-by-step explanation:

The secant of an angle is given by:

[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]

In this question:

[tex]\sec{\theta} = -2[/tex]

So

[tex]\frac{1}{\cos{\theta}} = -2[/tex]

[tex]-2\cos{\theta} = 1[/tex]

[tex]\cos{\theta} = -\frac{1}{2}[/tex]

In the first quadrant, the angle that has cosine of 1/2 is 60º.

The cosine is negative in the second and in the third quadrant.

The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.

The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º

So the values of [tex]\theta[/tex] in the interval are:

[tex]\theta = 120, 240[/tex], in degrees

Hello!

[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

Answer:

π/4 < x < 5π/4.

Answer:

(12, -12)

Step-by-Step:

I got it right on Edge 2021

Answer:

its 12,-

12

Step-by-step explanation:

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182