Answer:
92⁰
Step-by-step explanation:
a = 35⁰ ( vertically opposite )
b = 53⁰ (vertically opposite )
a + b + x = 180⁰ (Angle sum property of triangle)
35⁰ + 53⁰ + x = 180⁰
x = 180⁰ - 88⁰
x = 92⁰
Answer:
p = 63
Step-by-step explanation:
3Q = p - 21
transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,
3(21) = p
multiply 3 and 21 so 3 multiplied by 21 is equal to,
63 = p, then the answer is p = 63
Answer:
A.
f(x+1)=5/2f(x) with f(1)=3/2
Step-by-step explanation:
So we are looking for a recursive form of
.
This is the explicit form of a geometric sequence where and .
The general form of an explicit equation for a geometric sequence is
.
The recursive form of that sequence is:
.
So we have r=5/2 here so the answer is A.
f(x+1)=5/2f(x) with f(1)=3/2
By the way all this says is term is equal to 5/2 times previous term.
Answer:
Option (1)
Step-by-step explanation:
Equation of a quadratic function,
y = a(x - h)² + k
Here (h, k) is the vertex
From the picture attached,
Vertex of the parabola is (2, -5)
So the equation of the function will be,
y = a(x - 2)² - 5
Since, the graph passes through a point (0, 3)
3 = a(0 - 2)² - 5
3 = 4a - 5
4a = 8
a = 2
Equation will be,
y = 2(x - 2)² - 5
y = 2(x² - 4x + 4) - 5
y = 2x² - 8x + 8 - 5
y = 2x² - 8x + 3
But the shaded area is outside the graph so the quadratic inequality will be,
y ≤ 2x² - 8x + 3
Option (1) will be the answer.