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2 years ago

Solve the inequality. 2 < 6 - 3r and graph the solution

Mathematics

1 answer:

Vladimir79 [104]2 years ago

6 0

the answer is 3 because you subtract 6 - 3 = 3r

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A student has four sticks of wood that measures 3 inches, 4 inches, 5 inches, and 6 inches.Can the student use any three of thes

saw5 [17]

Answer:

Yes, the student can use three of these sticks to make a right triangle.

Step-by-step explanation:

The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.

Now, in a right angled triangle, by PYTHAGORAS THEOREM the three sides of the triangle base, perpendicular and hypotenuse are in the given following relation :

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$

Now, here among all four sticks

$(3)^{2} +(4)^{2} = 9 + 16 = 25$

and $25 = (5)^{2}$

So, there exists three sticks of length 3 in, 4 in and 5 inches which satisft Pythagoras Theorem , such that:

$(3)^{2} + (4)^{2} = (5)^{2}$

So, the required length sticks are 3 inches, 4 inches and 5 inches.

Hence, the student use three of these sticks to make a right triangle.

5 0

3 years ago

If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection

Korolek [52]

Answer:

Step-by-step explanation:

Hello,

there is not always an intersection point

let's take the example of on the appropriate domain

$f(x)=e^x \ \ \ f^{-1}(x)=ln(x)$

there is no intersection point

if there is one it means that the point (x,f(x)) and the point (x, $f^{-1}(x)$ ) is the same so that have to solve

$f(x)=f^{-1}(x)$

for instance if we take

$f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0$

intersection point are for x >= 0

$x^2=\sqrt{x} x^4=xx^3=1 \ or \ x=0 x = 1 \ or \ x=0$

hope this helps

8 0

3 years ago

What is the probability of flipping a coin and having heads land up five times in a row

Phantasy [73]

Answer:

1/32

Step-by-step explanation:

P(heads) = 1/2

P(5 heads) = (1/2)⁵ = 1/32

5 0

3 years ago

In a bag there are 4 purple marbles, 3 green marbles, 10 yellow marbles. If a student draws one marble what is the sample space?

Tema [17]

Purple, Green, Yellow.

3 0

3 years ago

Read 2 more answers

Help plz dis is a lil importatnete

Goryan [66]

Following order of operations:

3^2 = 9

(10-2) = 8

Now you have :

9 + 8 x 5 -4

Multiplication is next:

9 + 40 -4

Now just add and subtract from left to right:

9 + 40 = 49

49-4 = 45

The answer is 45

8 0

3 years ago

Read 2 more answers