Answer:
(a) no
(b) -1, (2, -1)
(c) 4, (4, 7)
(d) no
Step-by-step explanation:
<h3>(a)</h3>
You can check by using x=3 in the function.
f(3) = 4(3) -9 = 12 -9 = 3 . . . . not -3
The point (3, -3) is not on the graph.
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<h3>(b)</h3>
Put x=2 into the function and evaluate:
f(2) = 4(2) -9 = 8 -9
f(2) = -1
The point (2, -1) is on the graph.
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<h3>(c)</h3>
Put f(x) = 7 into the equation and solve for x.
7 = 4x -9
16 = 4x
4 = x
The point (4, 7) is on the graph.
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<h3>(d)</h3>
no, see part (b)
Answer:
sinѲ = -1/√5 or -√5/5
Step-by-step explanation:
On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.
On the Cartesian plane we also have x, y where:
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points (2,-1)
Where x = 2 , y = -1
We would solve for r by substituting 2 for x and -1 for y
r = √ 2² + -1²
r = √ 4 + 1
r = √5
In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2
y = r sinѲ
Where y = -1 and r = √5
-1 = √5 sinѲ
Divide both sides by √5
sinѲ = -1/√5
We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5
sinѲ = -√5/5
Therefore, sinѲ = -1/√5 of -√5/5
Answer:
no
Step-by-step explanation:
Answer:
$148
Step-by-step explanation:
We are given the expression:
48+25h
We are also given h=4. Since we know what h is equal to, we can substitute 4 in for h.
48 + 25h (h=4)
48 + 25(4)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
First, multiply 25 and 4.
48+ (25*4)
48+100
Next, add 48 and 100
48+100
148
The customer will have to pay $148
Answer:
q > -16 or 
> -16
Step-by-step explanation:
