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3 years ago

5x²-4(x²+1)how to factorise this?

Mathematics

1 answer:

garri49 [273]3 years ago

6 0

Answer:

(x+2)(x-2)

Step-by-step explanation:

We have ,

$\bf = 5x^2 -4(x^2+1)\\\\ \bf= 5x^2-4x^2-4 \\\\\bf= x^2 - 4 \\\\\bf =(x)^2-(2)^2 \qquad\bigg\lgroup \red{ \sf (a+b)(a-b)=a^2-b^2}\bigg\rgroup \\\\\boxed{\red{\bf=(x+2)(x-2)}}$

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Rewrite p(x)=x³+3x²-4

valentinak56 [21]

Answer:

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Step-by-step explanation:

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3 years ago

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4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

2) Determine the y-intercept (b)

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Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

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2 years ago

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Answer:

Step-by-step explanation:

After plugging in the 6, multiply 2 and 6 and then add 3. This equals 15.

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Step-by-step explanation:

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Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:

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