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4 years ago

Solve the inequality showing all steps needed to justify your answer. State your solution in interval notation

Mathematics

1 answer:

dybincka [34]4 years ago

5 0

<span>Which two measures did the United States take to counter terrorism after the September 11 attacks?

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Use the elimination method to solve the system of equations. Choose the correct ordered pair.

kiruha [24]

5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)

5 0

3 years ago

Read 2 more answers

Solve the questions below

Stells [14]

Answer:

4. 50.19°

5. 25.19°

Step-by-step explanation:

4. Reference angle = x°

Opposite = 6 units

Adjacent = 5 units

Thus,

$tan(x) = \frac{6}{5}$

$tan(x) = 1.2$

$x = tan^{-1}(1.2)$

$x = 50.19$ (nearest hundredth)

5. Reference angle = x°

Opposite = 48 - 5.2 = 42.8 ft

Adjacent = 91 ft

Thus,

$tan(x) = \frac{42.8}{91}$

$tan(x) = 0.47032967$

$x = tan^{-1}(0.47032967)$

$x = 25.19$ (nearest hundredth)b

7 0

3 years ago

What is the y-intercept of the function f(x) = -2/9x+1/3?

Brilliant_brown [7]

Answer:

y- intercept = $\frac{1}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - $\frac{2}{9}$ x + $\frac{1}{3}$ ← is in slope- intercept form

with y- intercept c = $\frac{1}{3}$

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4 years ago

What's the answer <br>c2+8c+7

lara [203]

Are you factoring or simplifying?

6 0

4 years ago

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Find the average value of f(x, y = over the region, r, the triangle with vertices (0, 0, (0, 1 and (1, 1.

makkiz [27]

Can't be done without knowing what $f$ is...

But I can tell you that the average value of $f$ is given by

$\dfrac{\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy}{\displaystyle\iint_R\mathrm dx\,\mathrm dy}$

At the very least, we can compute the denominator, which is just the area of $R$ . You have

$\displaystyle\iint_R\mathrm dx\,\mathrm dy=\int_{x=0}^{x=1}\int_{y=x}^{y=1}\mathrm dy\,\mathrm dx=\int_0^1(1-x)\,\mathrm dx=\dfrac12$

so the average value will be

$2\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy$

4 0

4 years ago