Answer:
The roots of the function are x = -5/3 and 3. Select these.
Step-by-step explanation:
The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.
f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2
Set each factor equal to 0 and solve for x.
(3x+5)=0
3x = -5
x = -5/3
(x-3)^2 = 0
x - 3=0
x = 3
Answer:
9 times
Step-by-step explanation:
Area = length x breadth
area of picture not enlarged = 3 x 5 = 15in²
If length is tripled it becomes , 3 x 3 = 9in
If width is tripled, it becomes , 5 x 3 = 15in
Area of enlarged picture = 9in x 15in = 135in²
amount by which enlarged image is larger = 135in² /15in² = 9
Answer:
0.1469
Step-by-step explanation:
Given from the question;
Mean=8.4 hrs=μ
Standard deviation=1.8 hrs=δ
Sample size, n=40
Let x=8.7
z=(x-μ)÷(δ÷√n)
Find z(8.7)
z=(8.7-8.4)÷(1.8÷√40)
z={0.3×√40}÷1.8=1.05409
z=1.0541
Read from the standard normal probabilities table
P(z>1.0541)
=0.1459
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
where 
and 
Substituting, we get;
Substituting the values, we get;
Taking 
on both sides of the equation, we have;
Rounding off to the nearest tenth, we get;
Hence, the measure of ∠B is 36.0°
Answer:
Jason still has 39 stickers.
Step-by-step explanation:
First, 57 + 64 + 71 = 192
Second, 231 - 192 = 39
Hope this helps!
