Answer:
3bat + 3b² - 6a²t²
Step-by-step explanation:
First you have to expand it to get;
3b(b - at) + 6at(b - at)
Then you can now multiply.
3b² - 3bat + 6bat - 6at²
Group like terms
6bat - 3bat + 3b² -6at²
3bat + 3b² - 6a²t²
Answer:
Subtract 5x from both sides of the equation.
7y=1−5x
x+4y=−5
Divide each term by 7 and simplify.
y=17−5x/7
x+4y=−5
Subtract x from both sides of the equation.
y=1/7−5x/7
4y=−5−x
y=1/7−5x/7
Divide each term by 4 and simplify.
y=1/7−5x/7
y=−5/4−x/4
y=1/7−5x/7
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. (3,−2)
Step-by-step explanation:
(h,h,h)
(h,h,t)
(h,t,h)
(h,t,t)
(t,h,h)
(t,h,t)
(t,t,h)
(t,t,t)
t stands for tails
h stands for heads
A) the growth is 56% per week. The 1.56 is multiplying the weight of the pumpkin now by the 56% to get the total weight after the 56% increase.
B) Replace P with 80 and solve for n:
80 = 25(1.56)^n
Divide each side by 25:
80/25 = 1.56^n / 25
3.2 = 1.56^n
Take the natural logarithm of both sides:
ln(3.2) = ln(1.56^n)
Remove the exponent:
ln(3.2) = n(ln(1.56)
Divide both sides by ln(1.56)
n = ln(3.2) / ln(1.56)
n = 2.6 weeks, round to 3 weeks.
C) Change 1.56 to 1.32 and redo the same calculation from B.
80 = 25(1.32)^n
80/25 = 1.32^n /25
3.2 = 1.32^n
ln(3.2) = ln(1.32^n)
ln(3.2) = n(ln(1.32)
n = ln(3.2) / ln(132)
n = 4.2, round to 4 weeks.
Complete question is;
A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?
1. Write the expression: (1.75 × 10⁴)(1.2 × 10²)
2. Rearrange the expression: (1.75 × 1.2)(10⁴ × 10²)
3. Multiply the coefficients: (2.1)(10⁴ × 10²)
4. Apply the product of powers: 2.1 × 10^(y)
The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?
Answer:
Distance travelled by rocket ship = 2.1 × 10^(6) miles
y = 6
Step-by-step explanation:
1. The written expression;
(1.75 × 10⁴)(1.2 × 10²)
2. The rearranged expression is;
(1.75 × 1.2)(10⁴ × 10²)
3. Let's multiply the coefficient which is the first bracket to get;
2.1(10⁴ × 10²)
4. Applying the product of powers means we will add the powers of ten which are 4 and 2.
Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles
Comparing to 2.1 × 10^(y), we have;
y = 6
