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Rufina [12.5K]
3 years ago
5

Solve the following expression when a = 4 and c = 3 4a + 12 – 2c + c Order of operation

Mathematics
2 answers:
lbvjy [14]3 years ago
8 0

Answer:

19

Step-by-step explanation:

4×4= 16+12= 28

2×3= 6+3= 9

28-9= 19

lianna [129]3 years ago
8 0
4x4 = 16 16 + 12 = 28 2 x 3 = 6 6 + 3 = 9

28 - 9 = 19
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Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4​
jok3333 [9.3K]

Answer:

\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10

General Formulas and Concepts:
<u>Calculus</u>

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                 \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Multiplied Constant]:                                                     \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Integration Property [Addition/Subtraction]:                                                   \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Area of a Region Formula:                                                                               \displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = 2x + 3

<em>x</em>-interval [3, 4]

<em>x</em>-axis

<em>See attachment for graph.</em>

<u>Step 2: Find Area</u>

  1. Substitute in variables [Area of a Region Formula]:                               \displaystyle A = \int\limits^4_3 {2x + 3} \, dx
  2. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx
  3. [Integrals] Rewrite [Integration Property - Multiplied Constant]:           \displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx
  4. [Integrals] Integrate [Integration Rule - Reverse Power Rule]:               \displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3
  5. [Integrals] Integrate [Integration Rule - FTC 1]:                                       \displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)
  6. Simplify:                                                                                                     \displaystyle A = 10

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

---

Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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2 years ago
Identify the inverse of f(x)=x^2-9
Reika [66]
A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)
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2 years ago
Answer this in the next 4 minutes and you can earn the BRAINLIEST answer!!! Please answer ASAP. Thanks in advance! :D
shutvik [7]
3. is the answer, as you can see D is one and a half units to the right of the y axis at a height of 3 units and C is one and a half units to the left of the y axis with the same height.  So D is "reflected" about the y axis and only the x coordinate changes sign from positive to negative.
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What is the greatest conman factor of -32x3+41x4y
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x^3

Step-by-step explanation:

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The logo for Chris's Calculator Company is 3 semicircles. The logo will be placed on the company building and will be 4 feet tal
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