Step-by-step explanation:
x = number
3x - 15 = (x - 12)×-4 or (12-x)×-4
3x - 15 = -4x + 48 or -48 + 4x
7x = 63, x = 9 or
33 = x
Answer:
It is an isosceles triangle (side FE = FG)
Therefore the base angles are equal.
75 degrees = 2x degrees
x = 75 / 2 = 37.5 degrees
Step-by-step explanation:
For the graph in the figure
we know that
the function is a quadratic equation ( vertical parabola) open up
so
The vertex is a minimum
the vertex is the point 
The domain x of the function is all real numbers-------> (-∞,∞)
The range is the interval--------> [0,∞)

therefore
Statements
A) The range is the set of all real numbers
Is false
B) The domain is the set of all real numbers
Is true
C) The domain is the set of all real numbers greater than or equal to zero
Is false
D) The range is the set of all real numbers greater than or equal to zero
Is true
Answer: hi your question is incomplete below is the complete question
answer:
The result has a statistical significance because from the results obtained from the sample of people whom followed vegetarian diet and the people whom followed non-vegetarian diet we can see the different effects on blood pressure.
The result has a practical significance because the large difference in mean values.
Step-by-step explanation:
Sample size = 85 followed a vegetarian diet
Period = 4 months,
Mean systolic blood pressure= 124 mmHg
Sample size = 75 followed non-vegetarian diet
Period = 4 months
Mean systolic Bp = 138 mmHg
Reasons/explanations
Given that p -value < 0.01 we will reject the null hypothesis
The result has a statistical significance because from the results obtained from the sample of people whom followed vegetarian diet and the people whom followed non-vegetarian diet we can see the different effects on blood pressure.
The result has a practical significance because the large difference in mean values.
Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²