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3 years ago

Which of the following are factors of x^2+5x+4

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

3 0

Answer:

(x + 4) and (x + 1)

Step-by-step explanation:

x² + 5x + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)

The factors are 4 and 1 , since

4 × 1 = 4 and 4 + 1 = 5 , then

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

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This was on my homework 5 X-5 = 5x+7

KengaRu [80]

Answer:

No solution

Step-by-step explanation:

Original Equation:

5x - 5 = 5x + 7

Add 5 to both sides

5x = 5x + 12

So we already know that this equation is not true, making it no solution

Hope this helped

6 0

3 years ago

Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

sveticcg [70]

$\text{The standard form of a line:}\ Ax+By=C$

$\text{The point-slope form:}$

$y-y_1=m(x-x_1)$

$\text{We have the point (5, 0) and the slope}\ m=\dfrac{4}{3}$

$\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}$

4 0

3 years ago

Solve the equation in the complex number system. x^2-12x+40=0

mylen [45]

solving the equation $x^2-12x+40=0$ we get $x=6+2i\,\,and\,\,x=6-2i$

Step-by-step explanation:

Solve the equation:

$x^2-12x+40=0$

We can solve using quadratic Formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a= 1, b = -12, c = 40

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i$

So, solving the equation $x^2-12x+40=0$ we get $x=6+2i\,\,and\,\,x=6-2i$

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

#learnwithBrainly

5 0

3 years ago

Choose the correct simplification of the expression a^7b^8/a^4b^4

Alex787 [66]

The answer is B: a^3b^4<span>

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer: a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (<span>a^7b^8)/(a^4b^4)</span>
</span>

4 0

3 years ago

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In our solar system 6 of the 8 planets have moons what is the percentage of the planet have moons

umka2103 [35]

75% for your help:)…….

8 0

3 years ago

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