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
egoroff_w [7]
3 years ago
12

Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x^2 + 5x − 12 belongs to the interval (-1

, 1).

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello, the slope of the tangent is the value of the derivative.

f'(x) = 2*0.2x + 5 = 0.4x + 5

So we are looking for

-1\leq f'(x) \leq 1 \\ \\ -1\leq 0.4x+5 \leq 1 \\ \\ -1-5=-6\leq 0.4x \leq 1-5=-4 \\ \\ \dfrac{-6}{0.4}\leq 0.4x \leq \dfrac{-4}{0.4} \\\\ \boxed{-15 \leq x\leq -10}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

DIA [1.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store the shopper looks up and sees a
Aleks04 [339]

Answer:

The elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

Step-by-step explanation:

From the ΔABC

AB = height of the building = 250 feet

BC = 800 ft

Angle of elevation = \theta

\tan \theta = \frac{AB}{BC}

\tan \theta = \frac{250}{800}

\tan \theta = 0.3125

\theta = 17.35°

Therefore the elevation to the top of the building from the point on the ground where the shopper is standing is = 17.35°

8 0
3 years ago
How do you simplify the expression 7 - 2(2 + 5) -8?
krek1111 [17]
7 - 2 (7) -8
7 - 14 - 8
7-14= -7
-7 - 8 = - 15
May have messed this one up
7 0
4 years ago
Read 2 more answers
Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice
shepuryov [24]

Answer:

Step-by-step explanation:     This is five-fold proportion

The first ratio gives solution namely

We will write general proportion  

a:b= c:d= e:f = g:h= i:j = k

According to this the first ratio gives coefficient k

When we divide 24/2 =12 our coefficient k=12

In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

In the fourth we will divide 108 with 12 and get 9.

In the fifth we will multiply 15 with 12 and get 180.

Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15

3 0
3 years ago
Read 2 more answers
PLS HELP MEE , WILL MARKTHE BRAINLIEST PLS
Sunny_sXe [5.5K]

Step-by-step explanation:

hopefully it is visible and makes sense

:)

8 0
3 years ago
Mallorie has $5 in her wallet.if this is 10% of her monthly allowance what is her monthly allowance
marta [7]
5=.1*x
divide both side by .1
5/.1=x
x=50 dollars
4 0
3 years ago
Read 2 more answers
Other questions:
  • A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism? Enter your answe
    12·2 answers
  • Two computers working together can finish a search in 30 seconds. One of these computers can finish in 50 seconds. How long woul
    15·2 answers
  • Dustin says that 8 • -1 = 8 is a counter example that shows the following conditional statement is false. Is Dustin correct? Exp
    9·1 answer
  • -6(-7a+3b) a = 5 b = - 4
    15·1 answer
  • I NEED THE ANSWER PLZ. Rosalie takes the bus everyday to school . the is 8 min long . write an equation where D represents the n
    8·2 answers
  • three friends go to dinner at lightsey's . the total bill for three meals including the costs $75. how much will each person pay
    6·2 answers
  • Which of the following statement is NOT a reasonable statement about geometry?
    9·1 answer
  • A music store bought a CD set at cost of $20. When the store sold the CD set, the percent markup was 10% what is the selling pri
    6·1 answer
  • The first three terms of a sequence are given. Round to the nearest thousandth (if
    13·1 answer
  • In Mendel’s genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!