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Serjik [45]
3 years ago
5

Graph { 2x + 6y = 18 { x + y = 5

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0
(3,2).......................

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These three please, thank you!
Inessa05 [86]
The first one is 9/25
The second one is 29.44
The last one is 8
3 0
3 years ago
Read 2 more answers
Use the Fundamental Theorem of Calculus to find the "area under curve" of
lozanna [386]

Answer:

\displaystyle A = 300

General Formulas and Concepts:

<u>Calculus</u>

Integrals

  • Definite Integrals
  • Area under the curve
  • Integration Constant C

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>

f(x) = 6x + 19

Interval [12, 15]

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

  1. Substitute in variables [Area of a Region Formula]:                                       \displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx
  2. [Integral] Rewrite [Integration Property - Addition/Subtraction]:                   \displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx
  3. [Integrals] Rewrite [Integration Property - Multiplied Constant]:                   \displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx
  4. [Integrals] Integrate [Integration Rule - Reverse Power Rule]:                      \displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}
  5. Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              \displaystyle A = 6(\frac{81}{2}) + 19(3)
  6. Simplify:                                                                                                             \displaystyle A = 300

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

Unit: Integration

Book: College Calculus 10e

7 0
3 years ago
What number is 16% of 32
Sav [38]
Is     16
of     100

x    16
32  100 

5.12

7 0
3 years ago
Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the o
Alborosie
I'm pretty sure your answer would be B but I would have to say to try and get another answer to back it up cause I am not 100% sure
6 0
3 years ago
Read 2 more answers
Given: ML ll JK. Prove: MN/NK = LN/NJ​
horrorfan [7]

Step-by-step explanation:

<u>Statements and reasons</u>

  • ML ║ JK                       >> Given
  • ∠MLJ ≅ ∠KJL              >> Same side interior angles are congruent
  • ∠LMK ≅ ∠JKM             >> Same side interior angles are congruent
  • ΔMLN ~ ΔKJN              >> AA similarity postulate
  • MN / NK = LN / NJ       >> Corresponding parts of similar triangles have same ratio
4 0
3 years ago
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