Solve:

2x-1/x+4 is greater than or equal to 0

Answers

Answer 1

The solution range of the given inequality is  (-∞, -4.121) and (0.121,∞)

How to solve the inequality?

Here we want to solve:

[tex]2x - 1/(x + 4) \geq 0[/tex]

To solve this, we multiply both sides by (x + 4) so we get:

[tex]2x*(x + 4) - 1 \geq 0\\\\2x^2 + 8x - 1 \geq 0[/tex]

Now we can solve it graphically, below we have:

There we can see that the solution range is (-∞, -4.121) and (0.121,∞), the regions where the graph is equal or above the horizontal axis.

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Solve:2x-1/x+4 Is Greater Than Or Equal To 0

Related Questions

A triangle with a perimeter of 50 units is the image of a triangle that was dilated by a
scale factor of 3/4. Find the perimeter of the preimage, the original triangle, before its
dilation. Round your answer to the nearest tenth, if necessary.

Answers

If the scale factor is 3/4. Then the perimeter of the original triangle will be 66.67 units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

A triangle with a perimeter of 50 units is the image of a triangle that was dilated by a scale factor of 3/4.

Then the perimeter of the preimage, the original triangle, before its

dilation will be

Let c be the perimeter of the original triangle.

Then we have

[tex]\rm \dfrac{3}{4} \times x = 50\\\\x = 66.67[/tex]

Then the perimeter of the original triangle is 66.67 units.

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Simplify the expression (4x2y3)2

Answers

Answer:

8x^2 2y^3

Step-by-step explanation:

This is the answer of (4x2y3)2

The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base and height of the tiangle?

Answers

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

A Panel in a stained-glass window in the shape of a parallelogram has the dimensions shown. Find the area of the panel.

Answers

Answer: 20 sq ft

Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

PLS HELLLLP!!!!!!!! I need 10 people to answer within the next 20 minutes what their favorite shoe brand. It is for an Algebra Project due Monday.

Answers

Answer:

Keen

Step-by-step explanation:

Favorite shoe brand = Keen

Answer:

Nike

Step-by-step explanation:

Nike shoes are great and comfy

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, using the disk/washer method. Sketch the region, the solid, and a typical disk or washer.y = (x - 2)^2 ; y=2x-1 ; about the line y = -1

Answers

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

2x+y=26
x-y=4

Descubra o valor de x e y e explique o processo.

Answers

The correct roots of this equation is:

x = 10

y = 6

– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.

2x + y = 26

x - y = 4

2x + x = 26 + 4

3x = 30

x = 30/3

x = 10

– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.

2x + y = 26

2 . 10 + y = 26

20 + y = 26

y = 26 - 20

y = 6

Therefore, the roots of this equation or system is:

x = 10

y = 6

What is the length of DE?

A. 5
B. 7
C. 6
D. 8

Answers

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

please help!!
I attached a picture!

Answers

1-
sides that are proportional
LM ~ ZY
MN ~ YX
NL ~ XZ

angles that are congruent (equal)
L = Z
M = Y
N = X

2-

RQ/PR = ZX/YZ



the nearest known exoplanet from earth is 4.25 light years away .how many km is this? give your answer in standard form

Answers

Answer:

4.021 × 10¹³ km

Step-by-step explanation:

The conversion factor of light years to km is;

1 light year = 9.461 × 10¹² km

Thus;

4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km

Given the function f(x) = 8x-1, what is the corresponding value when x = -1?

Answers

given ,

f(x) = 8x-1

For f(-1) = 8(-1)-1 = -8-1 = -9 is the answer

Find the values of x for which the function is continuous.
f(x) =

−3x + 7 if x < 0
x^2 + 7 if x ≥ 0

a.x ≠ 0

b.x ≥ 0


c.x ≥ root square 7
d.all real numbers

e.x ≠ 7

Answers

It looks like the given function is

[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]

The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]

To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]

To the right of x = 0, we have x > 0 and f(x) = x² + 7 :

[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]

So f(x) is continuous at x = 0, and hence continuous for all real numbers.

check the attachment please. I also need to know the value of y​

Answers

Answer:

Angle MBR = 31°

y = 14

Step-by-step explanation:

There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.

59 + y + 17 = 90

add.

76 + y = 90

subtract 76.

y = 14

Then you can find Angle MBR:

y + 17

= 14 + 17

= 31

Alternatively, you could find MBR first and then find y. It comes out the same either way.

A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)

Answers

19 feet is the closest without going over 50cm

Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

find the value of each of the lettered angles in the diagram below​

Answers

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100

fast i need it thanks

Answers

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

HELP ME PLEASE IM GOING TO FAIL!!!

Answers

Answer:

-1

Step-by-step explanation:

m= -1

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, 3)

Point 2 = (11, -4)

Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1

Answer: slope = -1

Hope this helps!

Write 9.30 in scientific notation

Please help :)
I’ll give brainliest to whoever comments first and gets it right!

Answers

Answer:

9.30 × 10⁰ bro that was so easy

This is the Answer I got: The number 0.0000000930 in scientific notation is written as 9.30 × 10-8

Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.

Answers

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

Find the area of the figure. Round to the nearest TENTH.

Answers

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

Answer:

A=L*B

=12*9

=108

A=0.5base *H

=0.5(9)*7

=31.5

A=108+31.5

A=139.5

Find the value of x.

31.5
68.3
26.7
11.

Answers

Answer:

26.7

Step-by-step explanation:

Using trigonometric ratio, we find:

[tex]\sin 67\degree= \frac{x}{29}[/tex]

[tex]\implies x = 29\sin 67\degree[/tex]

[tex]\implies x =26.69464075[/tex]

[tex]\implies x \approx 26.7[/tex]

Hi! really need help with my math and its due tmrw please helppp Also make sure
to slide over to see the other problems sorry if its glitchy.

Answers

Answer:

The value of x is equal to 109

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45

Answers

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please

Answers

No I’m not I got to los lunas middle school in New Mexico

What percent of 4c in each expression?
0.04c

Answers

Answer:

1%

Step-by-step explanation:

0.04c multiplied by 100 is 4.

Answer:

1%

Step-by-step explanation:

Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.

Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?

Answers

Since events a and b are independent P(a and b) = P(a) × P(b)

To answer the question, we need to know what probability is

What is probability?

Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes

Probability of independent events

If we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)

So, P(a and b) = P(a) × P(b)

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What are the coordinates for D?

options:

(-3, 2)


(-3, -1)


(-2, -3)


(-3, -2)

Answers

Answer:

(-3, -2)

Explanation:

Coordinates are represented in the form of (x, y)

To know the x coordinates see the value on the x-axis.

To know the y coordinates see the value on the y-axis.

From there we can identify:

A = (x, y) = (-4, 4)

B = (x, y) = (2, 2)

C = (x, y) = (0, -5)

D = (x, y) = (-3, -2) ← Required answer.

Please some one help with this question

Answers

Answer:

Where is the picture????

please help me I will give brainliest ​

Answers

Answer:

D

Step-by-step explanation:

um well just based on what its asking for it wants a sentence that uses both.

The radius of a circle is 1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

The circumference is 6.3 in

The circumference of the circle is given by the equation C = 6.3 inches

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

Let the radius of the circle be r = 1 inch

Now , circumference of circle = 2πr

Substituting the values in the equation , we get

The circumference of the circle C = 2 ( 3.14159 ) x 1

On simplifying the equation , we get

The circumference of the circle C = 6.3 inches

Hence , the circumference of the circle is 6.3 inches

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