If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.

Then the correct system of linear equations is as follows:

x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)

Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.

7 0

2 years ago

Read 2 more answers

RSB [31]

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = $\sqrt{5*5*3 * i * i}= 5i\sqrt{3}$

$x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i$

5 0

1 year ago

Find all three angles of the triangle x-5 x+10 x-35

Alexus [3.1K]

Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

(x + 5)°
(x + 10)°
(x + 15)°

Solving :

According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°
x + 5 + x + 10 + x + 15 = 180
3x + 30 = 180
x + 10 = 60
x = 50

Finding the angles

x + 5 = 50 + 5 = 55°
x + 10 = 50 + 10 = 60°
x + 15 = 50 + 15 = 65°

6 0

2 years ago