1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
10

Solve for x

Mathematics
2 answers:
victus00 [196]3 years ago
7 0

Answer:

B

Step-by-step explanation:

We have 2 inequalities, so we will obtain at maximum 2 ranges for x

5x-29>-34. Lets solve for x, pass -29 to the other side

5x>-34+29, this gives 5x>-5, from that we obtain the first range x>-1

(-1, inf)

The second one is similar

2x+31<29, solving for x you have the following: 2x>-2 <(note that we have to reverse the < sign since the "-" sign that appears when performing the subtraction -31+29=-2) thus you have x>-1, our second range is (-1, inf)

Comparing the two ranges... we have x>-1 repeating, thus, is enough to say that we have only one range, x>-1

Brilliant_brown [7]3 years ago
6 0

Answer:

A)x>-1 and x<-1

Step-by-step explanation:

You might be interested in
The angles of a triangle are 30º, 60º, and xº. What is the value of x? x =
FinnZ [79.3K]
The answer is 30 degrees
3 0
3 years ago
Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl
Wittaler [7]

Answer:

\displaystyle y= -\frac{3}{4} x + \frac{25}{4}.

Step-by-step explanation:

The equation of a circle of radius 5 centered at (0,0) is:

x^{2} + y^{2} = 5^{2}.

x^{2} + y^{2} = 25.

Differentiate implicitly with respect to x to find the slope of tangents to this circle.

\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]

\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0.

Apply the power rule and the chain rule. Treat y as a function of x, f(x).

\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0.

\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0.

That is:

\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0.

Solve this equation for \displaystyle \frac{dy}{dx}:

\displaystyle \frac{dy}{dx} = -\frac{x}{y}.

The slope of the tangent to this circle at point (3, 4) will thus equal

\displaystyle \frac{dy}{dx} = -\frac{3}{4}.

Apply the slope-point of a line in a cartesian plane:

y - y_0 = m(x - x_0), where

  • m is the gradient of this line, and
  • (x_0, y_0) are the coordinates of a point on that line.

For the tangent line in this question:

  • \displaystyle m = -\frac{3}{4},
  • (x_0, y_0) = (3, 4).

The equation of this tangent line will thus be:

\displaystyle y - 4 = -\frac{3}{4} (x - 3).

That simplifies to

\displaystyle y= -\frac{3}{4} x + \frac{25}{4}.

3 0
3 years ago
What is the sine value of <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%5Cpi%20%7D%7B3%7D%20" id="TexFormula1" title=" \fr
vovikov84 [41]
Find the value of sin( \frac{5 \pi }{3} )

Rewrite as sin( \frac{6 \pi - \pi }{3} )

sin( \frac{6}{3} \pi -  \frac{ \pi }{3}  )

sin(2 \pi - \frac{ \pi }{3} )

since sin(π/3) = √3/2

and sin(π-α) = -sinα

α is sin(π/3) of course

-sin( \frac{ \pi }{3} )

- \frac{ \sqrt{3} }{2}
3 0
2 years ago
Melanie invested $9,800 in an account paying an interest rate of 4 1 2 4 2 1 ​ % compounded quarterly. Amelia invested $9,800 in
Gnom [1K]

Step-by-step explanation:

yifhkdtjayixyrsyisjdyjdrtdgjz

5 0
3 years ago
A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the ans
Firdavs [7]

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

6 0
2 years ago
Other questions:
  • True of false:There is always one solution of a system of linear equations.
    8·1 answer
  • Write the equation in exponential form log4 1/6=-2
    10·1 answer
  • Using your answers from parts b and c, what are the ages of the brother and sister, respectively?
    12·1 answer
  • Solve for w. <br> 1/7 = -3/2w -4/5 Simplify your answer as much as possible.
    8·1 answer
  • Area is measured in cubic units true false
    10·2 answers
  • What is Indeterminate
    15·1 answer
  • URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.
    13·1 answer
  • The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would c
    11·2 answers
  • What is the surface area of the right cylinder below?
    10·1 answer
  • 2x+7=16<br> as a improper fraction simplified
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!