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
poizon [28]
2 years ago
6

The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drive

s around the curve. He never drives above the speed limit. At what speed was Mr. Gerard driving before the curve? Please write your inequality.
Mathematics
1 answer:
vladimir1956 [14]2 years ago
7 0

Answer:

x ≤ 25mph

Step-by-step explanation:

Given that :

Speed limit drops to 15 miles per hour at curve

Driver slows down by 10 miles per hour as he drives around the curve

The driver's speed before reaching the curve is :

Let speed befure curve = x

Lowest speed before curve = 15 +. 10 = 25 mph

x ≤ 25mph

You might be interested in
Solve the attached question<br><br>#yohaniJaman<br><br><br><br>​
aksik [14]

HETY is a parallelogram.

HT and EY are diagonals. We know that diagonals divides the parallelogram into two equal parts.

So ar(HET) = ar(HTY)

And, ar(HEY) = ar(EYT) now, in AHET, diagonal EY bisects the line segment HT and also the AHET,

∴ar(AHOE) = ar(AEOT)

Similarly in AETY

ar(ΔΕΟΤ) = ar(ΔΤΟΥ)

And in AHTY,

ar(ATOY) = ar(AHOY)

That means diagonals in parallelogram divides it into four equal parts.

Hence Proofed.

5 0
2 years ago
How do you find the area of the regular figure
snow_lady [41]

Answer:

Length times width

Step-by-step explanation:

l*w

5 0
3 years ago
Read 2 more answers
4. What number is the opposite of -3/5?*
Arlecino [84]

Answer:

the opposite of negative 3/5 [-3/5] is positive 3/5 [3/5].

Good luck.

4 0
1 year ago
I am having trouble with this relative minimum of this equation.<br>​
Norma-Jean [14]

Answer:

So the approximate relative minimum is (0.4,-58.5).

Step-by-step explanation:

Ok this is a calculus approach.  You have to let me know if you want this done another way.

Here are some rules I'm going to use:

(f+g)'=f'+g'       (Sum rule)

(cf)'=c(f)'          (Constant multiple rule)

(x^n)'=nx^{n-1} (Power rule)

(c)'=0               (Constant rule)

(x)'=1                (Slope of y=x is 1)

y=4x^3+13x^2-12x-56

y'=(4x^3+13x^2-12x-56)'

y'=(4x^3)'+(13x^2)'-(12x)'-(56)'

y'=4(x^3)'+13(x^2)'-12(x)'-0

y'=4(3x^2)+13(2x^1)-12(1)

y'=12x^2+26x-12

Now we set y' equal to 0 and solve for the critical numbers.

12x^2+26x-12=0

Divide both sides by 2:

6x^2+13x-6=0

Compaer 6x^2+13x-6=0 to ax^2+bx+c=0 to determine the values for a=6,b=13,c=-6.

a=6

b=13

c=-6

We are going to use the quadratic formula to solve for our critical numbers, x.

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-13 \pm \sqrt{13^2-4(6)(-6)}}{2(6)}

x=\frac{-13 \pm \sqrt{169+144}}{12}

x=\frac{-13 \pm \sqrt{313}}{12}

Let's separate the choices:

x=\frac{-13+\sqrt{313}}{12} \text{ or } \frac{-13-\sqrt{313}}{12}

Let's approximate both of these:

x=0.3909838 \text{ or } -2.5576505.

This is a cubic function with leading coefficient 4 and 4 is positive so we know the left and right behavior of the function. The left hand side goes to negative infinity while the right hand side goes to positive infinity. So the maximum is going to occur at the earlier x while the minimum will occur at the later x.

The relative maximum is at approximately -2.5576505.

So the relative minimum is at approximate 0.3909838.

We could also verify this with more calculus of course.

Let's find the second derivative.

f(x)=4x^3+13x^2-12x-56

f'(x)=12x^2+26x-12

f''(x)=24x+26

So if f''(a) is positive then we have a minimum at x=a.

If f''(a) is negative then we have a maximum at x=a.

Rounding to nearest tenths here:  x=-2.6 and x=.4

Let's see what f'' gives us at both of these x's.

24(-2.6)+25

-37.5  

So we have a maximum at x=-2.6.

24(.4)+25

9.6+25

34.6

So we have a minimum at x=.4.

Now let's find the corresponding y-value for our relative minimum point since that would complete your question.

We are going to use the equation that relates x and y.

I'm going to use 0.3909838 instead of .4 just so we can be closer to the correct y value.

y=4(0.3909838)^3+13(0.3909838)^2-12(0.3909838)-56

I'm shoving this into a calculator:

y=-58.4654411

So the approximate relative minimum is (0.4,-58.5).

If you graph y=4x^3+13x^2-12x-56 you should see the graph taking a dip at this point.

3 0
3 years ago
Suppose there is a bag of 10 marbles. Of the 10 marbles, 5 are blue, 3 are green, and 2
harina [27]

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

7 0
3 years ago
Other questions:
  • . A fair number cube labeled 1, 2, 3, 4, 5, and 6 is rolled 100 times. About how many times would you expect the number 3 to app
    10·1 answer
  • The regular hexagon shown has rotational symmetry. Which of the following is its angle of rotation?
    12·1 answer
  • How do you add two intergers if they have the same sign?
    14·1 answer
  • Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
    9·1 answer
  • The graph of F(x), shown below, has the same shape as the graph of G(X) =
    12·1 answer
  • Solve by using substitution. Express your answer as an ordered pair.
    7·2 answers
  • Find the measure of the largest angle in the diagram below.
    13·1 answer
  • Can someone help show my work HAHAHAHA its due today
    9·1 answer
  • There are 7 students in cara art club . They need to share 2 rolls of clay equally . Cara wants to know how much clay she will g
    13·2 answers
  • Factor completely 3x2 − 11x 8. (x 4)(3x − 2) (x − 2)(3x − 4) (x 1)(3x − 8) (x − 1)(3x − 8).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!