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
Karo-lina-s [1.5K]
3 years ago
14

Last 2 tutor find it wrong pls help me

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

  g(x) = 4x² -x +64

Step-by-step explanation:

The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.

For some constant c1, the integral in the region x ≤ 4 is ...

  ∫f(x)dx = (4x² -x +c1) +C = g(x) +C

The integral in the region x ≥ 4 is given as ...

  ∫f(x)dx = 31x +C

Evaluated at x=4, we must get the same value from either expression:

  4(4²) -4 +c1 +C = 31(4) +C

  60 +c1 = 124

  c1 = 64

__

In order to make the integral continuous at x=4, we must have ...

  g(x) = 4x² -x +64

You might be interested in
Identify the property used in this equation: (–2) + 6 + 1 = 1 + 6 + (–2)
ruslelena [56]
(-2) + 6 + 1 = 1 + 6 + (-2)
-2 + 7 = 7 - 2
5 = 5
7 0
4 years ago
Please show your work
jarptica [38.1K]

Answer:

x ≈ 6.71

Step-by-step explanation:

a²+b²=c²

a=3, b=6, c=x

3²+6²=c²

9+36=c²

45=c²

c=√45

c≈6.71

4 0
3 years ago
Read 2 more answers
Mary deposits R400 every three months into a bank account earning interest at 16% per year, compounded quarterly. The approximat
ycow [4]

Answer:

The approximate time that it will take Mary to save R40000 is 29 years

Step-by-step explanation:

A= p(1+r/n)^nt

t = log(A/P) / n[log(1 + r/n)]

A = R40000

n = 4

P = R400

r = 16%

t = log(A/P) / n[log(1 + r/n)]

= log(40,000 / 400) / 4{log(1+0.16/4)}

= log(100) / 4{log(1+0.04)}

= 2 / 4{log(1.04)}

= 2 / 4(0.0170)

= 2 / 0.068

= 29.41

t = 29.41 years

Approximately 29 years

The approximate time that it will take Mary to save R40000 is 29 years

3 0
3 years ago
A certain car costs $11,565 before taxes are added. Taxes are $860 and license tags costs $95. What is the overall tax rate (to
Advocard [28]
$860/$11,565 * 100% ≈ 7.4% . . . . matches selection B
6 0
3 years ago
Read 2 more answers
What is the equation of a line perpendicular to y-12=2x-3 that passes through the point (2, 3)?
scoray [572]

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 12 = 2x - 3 ( add 12 to both sides )

y = 2x + 9 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}, thus

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = - 1 + c ⇒ c = 3 + 1 = 4

y = - \frac{1}{2} x + 4 ← equation of perpendicular line

6 0
3 years ago
Other questions:
  • Sarah drew a triangle with angle measures of 50°, 43°, and 87°. What kind of triangle is it?
    12·2 answers
  • Salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much did she make?
    6·2 answers
  • Testing how fast a brainy question is solved so what is the least common multiple of 6 and 12
    6·2 answers
  • What is the value of h in the figure below? In this diagram, ABAD ~ ACBD.
    8·1 answer
  • The perimeter of a rectangular field is 350m. If the length of the field is 99m, what is it’s width?
    8·1 answer
  • The picture this is math 1 for apex learning
    15·1 answer
  • Given: f(x)=1/x+5 and g(x)=x-2
    7·2 answers
  • How much heat is absorbed when 4.0 grams of steam, H20 (g), is heated from
    9·1 answer
  • A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 4 cm. The prism is filled with cubes that have edge l
    8·1 answer
  • i need help with the last two. I forgot the formula and wondering if you will help me find which one is and isnt a triangle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!