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3 years ago

Enter the ordered pair that is the solution to the system of equations graphed below please :]

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

Hello!

Since (1, -2) is the point of intersection, then it is the solution to the system of equations. Let's test our answer to see if it's correct:

$-2 = -4(1) + 2

-2 = -4 + 2

-2 = -2$

But that's only for the first one, let's test for the second one:

$-2 = 1 - 3

-2 = -2$

This is how we know that (1, -2) is the solution to the system of equations. Hope I helped! :3

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Choose two angles that are each separately corresponding angles with 5

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3 years ago

Read 2 more answers

Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m

Anastasy [175]

Answer:

Height of flagpole before it fell = 5.15 m

Step-by-step explanation:

Given:

Height of remain pole (p) = 1.7 m

Distance from base (b) = 3 m

Find:

Height of flagpole before it fell

Computation:

Using Pythagorean theorem

H = √ p² + b

Length of broken part = √ 1.7² + 3²

Length of broken part = √ 2.89 + 9

Length of broken part = √ 11.89

Length of broken part = 3.45 (Approx)

Height of flagpole before it fell = Length of broken part + Height of remain pole

Height of flagpole before it fell = 3.45 + 1.7

Height of flagpole before it fell = 5.15 m

8 0

3 years ago

F(n) = 3n + 2<br>find the third term

nataly862011 [7]

Answer:

Step-by-step explanation:

The third term is when n = 3, so simply plug 3 into the equation:

f(3) = 3 * 3 + 2 = 9 + 2 = 11

Thus, the answer is 11.

Hope this helps!

7 0

3 years ago

Calculus(Derivatives):

Zigmanuir [339]

$f(x)=x^3+x^2-5x-2$
$\implies f'(x)=3x^2+2x-5=(3x+5)(x-1)$

Critical points occur when $f'(x)=0$ , which happens for $x=-\dfrac53$ and $x=1$ .

Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave ( $f''(x)$ ), then a maximum occurs; if it's convex ( $f''(x)>0$ ), then a minimum occurs.

You have

$f''(x)=6x+2$

and so

$f''\left(-\dfrac53\right)=-8$
$f''(1)=8>0\implies f(x)\text{ is convex at }x=1$

This means a maximum of $f\left(-\dfrac53\right)=\dfrac{121}{27}$ and a minimum of $f(1)=-5$ .

4 0

3 years ago