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
babunello [35]
3 years ago
10

The speed limit on a highway is 55 miles per hour. This means that vehicles cannot legally drive at speeds over 55 miles per hou

r. Write an inequality that is true only for speeds in miles per hour, x, at which vehicles can drive legally on the highway.
Mathematics
1 answer:
Vaselesa [24]3 years ago
5 0
X < or = to 55 mph.
Hope it helps! :)
You might be interested in
(1.3)Select the correct definition from the dropdown below:<br> (In picture)
masha68 [24]

Answer:

a plane is formed by two rays with the same end point

5 0
3 years ago
PLEASEEEE ANSWERRR FASTTTT!!!!!!!!!!What is the equation of the line whose graph is shown?
Mamont248 [21]

Answer:

A

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

To find m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line

m = \frac{-1-1}{-1-1} = \frac{-2}{-2} = 1

y = x ← is the equation of the line → A

8 0
3 years ago
Help please solve<br> <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6x%5E5%2B11x%5E4-11x-6%7D%7B%282x%5E2-3x%2B1
Shkiper50 [21]

Answer:

\displaystyle  -\frac{1}{2} \leq x < 1

Step-by-step explanation:

<u>Inequalities</u>

They relate one or more variables with comparison operators other than the equality.

We must find the set of values for x that make the expression stand

\displaystyle \frac{6x^5+11x^4-11x-6}{(2x^2-3x+1)^2} \leq 0

The roots of numerator can be found by trial and error. The only real roots are x=1 and x=-1/2.

The roots of the denominator are easy to find since it's a second-degree polynomial: x=1, x=1/2. Hence, the given expression can be factored as

\displaystyle \frac{(x-1)(x+\frac{1}{2})(6x^3+14x^2+10x+12)}{(x-1)^2(x-\frac{1}{2})^2} \leq 0

Simplifying by x-1 and taking x=1 out of the possible solutions:

\displaystyle \frac{(x+\frac{1}{2})(6x^3+14x^2+10x+12)}{(x-1)(x-\frac{1}{2})^2} \leq 0

We need to find the values of x that make the expression less or equal to 0, i.e. negative or zero. The expressions

(6x^3+14x^2+10x+12)

is always positive and doesn't affect the result. It can be neglected. The expression

(x-\frac{1}{2})^2

can be 0 or positive. We exclude the value x=1/2 from the solution and neglect the expression as being always positive. This leads to analyze the remaining expression

\displaystyle \frac{(x+\frac{1}{2})}{(x-1)} \leq 0

For the expression to be negative, both signs must be opposite, that is

(x+\frac{1}{2})\geq 0, (x-1)

Or

(x+\frac{1}{2})\leq 0, (x-1)>0

Note we have excluded x=1 from the solution.

The first inequality gives us the solution

\displaystyle  -\frac{1}{2} \leq x < 1

The second inequality gives no solution because it's impossible to comply with both conditions.

Thus, the solution for the given inequality is

\boxed{\displaystyle  -\frac{1}{2} \leq x < 1 }

7 0
3 years ago
PLZ help<br> What system of linear inequalities is shown in the graph?
GarryVolchara [31]

In order find the Inequalities, First we need to Find the Equations of Both the Lines.

<u>Equation of First line :</u>

It is passing through the Points (0 , 2) and (4 , 0)

⇒ Slope = \frac{2 - 0}{0 - 4} = \frac{-2}{4} = \frac{-1}{2}

⇒ Equation of the First Line : y - 2 = \frac{-1}{2}(x)

⇒ Equation of the First Line : x + 2y = 4

<u>Equation of Second Line :</u>

It is passing through the Points (1.5 , 0) and (0 , -3)

⇒ Slope = \frac{0 + 3}{1.5 - 0} = \frac{3}{1.5} = 2

⇒ Equation of the Second Line : y + 3 = 2x

⇒ Equation of the Second Line : 2x - y = 3

As the Shaded Area of the First Line is away from the Origin :

⇒ x + 2y ≥ 4

As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :

⇒ 2x - y < 3

So, the System of Linear Inequalities are :

⇒ x + 2y ≥ 4

⇒ 2x - y < 3

4 0
3 years ago
Help please.............................................
BaLLatris [955]

Answer:

B.

Step-by-step explanation:

(-7x + 4)(-7x - 4)

= 49x^2 - 28x + 28x - 16

= 49x^2 - 16.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Start at (6,4) and move 4 units to the left and 2 units down what point will you end up on
    11·1 answer
  • What is the answer to 3x+x/4=x+3/4
    5·1 answer
  • Please help
    12·2 answers
  • 18% of what number of 43
    5·1 answer
  • Find the slope of the line that passes through (4, 6) and (2, 3).
    6·1 answer
  • What is the answer to -25+5=
    5·2 answers
  • Laws Of Indicies<br>Can someone please help me with this?​
    12·2 answers
  • 492.3069 (thousandths) rounding
    6·2 answers
  • . 1<br> Find f<br> for the function f.<br> f(x) = 3x² + 3, x &gt; 0<br> And find the domain
    14·1 answer
  • Which of the following properties completes the proof?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!