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3 years ago

11

Factor the following expression. x2 + 4x - 5

2 answers:

steposvetlana [31]3 years ago

7 0

(x-1)(x+5)

Lemme know if this helped ya :D

sashaice [31]3 years ago

4 0

Answer:(x+5)(x-1)

Step-by-step explanation:

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If sarah is 24 years younger than her mother and if the sum of their age is 68 how old is sarah

UkoKoshka [18]

The sum of two numbers if just the numbers added together, so you would just need to do some simple algebra.

The ages added together are 68, and the opposite of addition is subtraction!

(total age) - (sarahs age) = (mothers age)
68 - 24 = 44

44 should be her mothers age!

(If you were trying to calculate the sum of their ages, you would just add them together, and 24 + 44 = 68)

7 0

3 years ago

A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0

3 years ago

The height of a ball above the ground in feet is defined by the function h(t) = -16t Squared + 80t +3, where t is the number of

jasenka [17]

Plug in 2 for t.
=> -16*(2^2) +80*2 +3
=> -16*4 +160 +3
=> -64+163
=> 99

6 0

3 years ago

I need to know the answer to this is radical form

Paladinen [302]

The answer is the last on 12

6 0

3 years ago

Solve the Inequality and express each solution in set interval notation.

solniwko [45]

The correct answer is x=5

3 0

3 years ago