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3 years ago

What point is a solution for the linear inequality x−3y≥4?

Mathematics

1 answer:

alexgriva [62]3 years ago

8 0

Answer:

(4,0)

Step-by-step explanation:

when x−3y≥4 is graphed it goes through the point (4,0)

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In ΔPQR, m∠P = (3x+16) ,m∠Q=(4x-15),m∠R(2x+8) What is the value of x?

noname [10]

Answer:

x = 19

Step-by-step explanation:

Assuming all angle measures are in degrees, the sum of them is 180:

(3x +16) +(4x -15) +(2x +8) = 180

9x +9 = 180 . . . . collect terms

x + 1 = 20 . . . . . . divide by 9

x = 19 . . . . . . . . . .subtract 1

The value of x is 19.

3 0

3 years ago

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:
Calculus

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:

Step 1: Define

Identify.

y = 2x + 3

x-interval [3, 4]

x-axis

See attachment for graph.

Step 2: Find Area

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

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

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

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

Unit: Integration

3 0

2 years ago

What is 1 1 /2 x / 4 1/4 A. 4 1/8 B. 4 3/4 C. 6 3 /8 D. 5 1/4

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Rex spent $6.42 at the store. He gave the cashier the money shown above. How much money did Rex get back from the cashier?

cupoosta [38]

The answer is d 10-6.42 is $3.58

4 0

3 years ago

Read 2 more answers

What is bigger 1/5 or -4

kaheart [24]

Answer:

1/5

Step-by-step explanation:

The best way to think about this is on a number line. -4 would be on the left of 0 meaning it is less than 0 and $\frac{1}{5}$ is on the right side of 0 but it is less than 1.

8 0

3 years ago