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3 years ago

5

Define a variable and write an inequality to model each situation. A light bulb can be no more than 75 watts to be safely used i

n this light fixture.

1 answer:

DaniilM [7]3 years ago

3 0

Let the number of watts =w ‘no more than’ means less than or equal to, thus we will use that sign. The inequality can be written as: w<75

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◆ Quadratic Equations ◆<br>Please help !

Mila [183]

I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

$\sf ax^2+(1-a(b+c))x+abc-d)$

$\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))$

Simplify into standard form:

$\sf x^2+(1-1(5))x+6-4$

$\sf x^2+(1-5)x+2$

$\sf x^2-4x+2$

Use the quadratic formula to solve:

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

For functions in the form of $\sf ax^2+bx+c$ . So in this case:

a = 1
b = -4
c = 2

Plug them in:

$\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}$

Solve for 'x':

$\sf x=\dfrac{4\pm\sqrt{16-8}}{2}$

$\sf x=\dfrac{4\pm\sqrt{8}}{2}$

$\sf x\approx\dfrac{4\pm 2.83}{2}$

$\sf x\approx 0.59,3.41$

So the answer would be A.

3 0

3 years ago

Which is greater 192 inches or 5yards and 1 foot

makvit [3.9K]

1 yard = 36 inches. We have 5 yards, so 5x36 = 180

1 foot = 12 inches.

So the base 192 is largest.

3 0

3 years ago

Find all solutions in the interval [0, 2π). tan x + sec x = 1

svp [43]

Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx

tan x = 0

x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees

6 0

3 years ago

You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What i

bekas [8.4K]

Answer:

$660

Step-by-step explanation:

22*40 = 880 dollars. This is your gross pay.

Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars

We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars

Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.

Let me know if im wrong!

3 0

3 years ago

Pamela took a total of 27 quizzes over the course of 9 weeks. After attending 10 weeks of school this quarter, how many quizzes

shepuryov [24]

Answer:

30

Step-by-step explanation:

27 diviend by 9 = 3 so 27 +3 = 30.

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3 years ago