Answer:
Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)
Using the Pythagorean theorem:
a^2 + 24^2 = 26^2
a^2 + 576 = 676
a^2 = 676 - 576
a^2 = 100
a = SQRT(100)
a = 10
Answer:
0.025 grams
Step-by-step explanation:
The water in the stopcock has a volume of 25 mL initially, After that, the whole water was drained out. So we have:
Volume of drained water = (25 mL)(1 x 10⁻⁶ m³/1 mL)
Volume of drained water = 25 x 10⁻⁶ m³
Density of drained water = 1000 kg/m³
So, for the mass of drained water:
Density of drained water = Mass of drained water/Volume of drained water
Mass of drained water = (Density of drained water)(Volume of drained water)
Mass of drained water = (1000 kg/m³)(25 x 10⁻⁶ m³)
<u>Mass of drained water = 0.025 gram</u>
Density
Answer:
Step-by-step explanation:
Let the missing angle be x then .,
81 + 62 + x = 180 (being sum of angles of triangle )
143 + x = 180
x = 180 - 143
x = 37
<em>Therefore the missing angle is 37</em>
<span>2d – e = 7 </span>
<span>d + e = 5 </span>
<span>3d=12 </span>
<span>d=4 </span>
