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3 years ago

What is the factored form of x2 − 4x − 5?

Mathematics

1 answer:

exis [7]3 years ago

4 0

Answer:

$\large\boxed{x^2-4x-5=(x+1)(x-5)}$

Step-by-step explanation:

$\text{The factored form:}\\\\ax^2+bx+c=a(x-x_1)(x-x_2)\\\\x_1,\ x_2-the\ zeros\\==============================\\\\\text{We have}\ x^2-4x-5:\\\\x^2-4x-5=x^2+x-5x-5=x(x+1)-5(x+1)\\\\x^2-4x-5=(x+1)(x-5)$

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A train travels at a constant rate of 45 miles per hour.

givi [52]

A. d=45t
b. 112.5 miles. 112.5=45•2.5

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3 years ago

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If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0

3 years ago

Three prime numbers that can be multiplied to get 825

Leona [35]

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

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2 years ago

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Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

erastova [34]

The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.

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3 years ago

What is this math question answer 48=a+20

jeyben [28]

Answer:

a=28

Step-by-step explanation:

a+20=48

a=48-20

a=28

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3 years ago