Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - given point
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
the first equation is
y = 3x
second equation
x + y = 3200
then substitute equation 1
x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
A. The area of a square is given as:
A = s^2
Where s is a measure of a side of a square. s = (2 x – 5) therefore,
A = (2 x – 5)^2
Expanding,
A = 4 x^2 – 20 x + 25
B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.
Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.
