Answer:
Area=105
Step-by-step explanation:
If we were to close the rectangle it would be 15ft x 8ft which equals 120ft
but then we'd have to find the area of the small rectangle inside being
3ft x 5ft = 15 ft
So, we'd have to subtract 15 ft from 120 ft giving us the answer of 105 ft
(x+4)(x-2);
x+4
the LCM is x+4
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
<h3>Solving quadratic equation</h3>
Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
Learn more on quadratic equation here: brainly.com/question/1214333
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<span>Solve:(x+5)^2 =16
</span><span>
(x+5)^2 =16
x^2 + 10x + 25 - 16 = 0
</span>x^2 + 10x + 9 = 0
(x+9)(x+1) = 0
x + 9 = 0
x = -9
x +1 = 0
x = -1
answer: x=-1 and x = -9
Solve: a^2 +12a + 36 = 225
a^2 +12a + 36 = 225
a^2 +12a + 36 - 225 = 0
a^2 +12a - 189 = 0
(a-9)(a+21) = 0
a - 9 = 0
a = 9
a + 21 = 0
a = -21
answer: a = -21 and a = 9
42+ 34= 76
42- 34= 8
The answer would be b(42) since its larger than 34 :)