Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x
g(x) = 4x + 5
<u>Step 2: Find</u>
- Substitute in functions: 2x + 3(4x + 5)
- [Distributive Property] Distribute 3: 2x + 12x + 15
- Combine like terms: 14x + 15
Answer:
37 m^2
Step-by-step explanation:
The shape can be broken down into a rectangle (on the top), two triangles (at the side) and another big rectangle (centre)
Area of one triangle
= 1/2*base*height
= 1/2*4*1
=2 m^2
Area of 2 triangles= 4m^2
Area of the small rectangle
= Length*breadth
= 1*3
= 3 m^2
Area of large rectangle in the same way
= 4*8
= 32m^2
Total area
= Sum of all the sub-areas
= 32+3+2
=37 meters^2
Answer:
1/3(5.2)h cm³
Step-by-step explanation:
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Volume of the pyramid = 1/3 × area × height
Area = 5.2 cm²
Height = h cm
Volume of the pyramid = 1/3 × 5.2 cm² × h cm
= 1/3(5.2)h cm³
Answer:
d. 52.5 million cases
Step-by-step explanation:
from the data output in the question, we have the regression equation to be
log y = -151.281 + 0.076577x
y is the number of hiv cases which is in millions
x is the year of the hiv case
x = 1998
we put the value of x in the regression equation
log y = -151.281 + 0.076577(1998)
log y = -151.281 + 153.000846
log y = 1.719846
since the result is in log form,
y = 52.5 million cases
