Answer:
a) The minimum y-value of f(x) is -3
d) The minimum y-value of g(x) is -3
Step-by-step explanation:
Given in the question that,
f(x) = 3-3
g(x) = 7x² - 3
<h3>A)</h3>
At large negative exponents, the value approaches to zero
y =
y =
y =
<h3>B)</h3>
Minimum y-value of g(x) will be when x = 0
y = 7x² - 3
y = 7(0) - 3
y = -3
Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A <u>cyclic quadrilateral</u> is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The <u>opposite angles</u> in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
- m∠Q = 68°
- m∠R = (3x + 40)°
- m∠T = (5x - 52)°
<u>Measure of angle Q</u>
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
<u>Measure of angles R and T</u>
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Answer:
Solve the rational equation by combining expressions and isolating the variable
<h2>
x
=
ln
(
t
−
√
t
^2
+
4 )/2</h2><h2>
x
=
ln
(
t
+√
t
^2
+
4 )/2</h2>
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change to an improper fraction
(2*1+2)/2 ÷ 1/3
5/2 ÷1/3
Copy dot flip
5/2 * 3/1
15/2
Change to a mixed number
7 1/2