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Sergio [31]
3 years ago
14

Solve the inequality k - 3 < 5

Mathematics
2 answers:
Mama L [17]3 years ago
8 0
For this problem the answer is k<8
k0ka [10]3 years ago
7 0

k-3+3<5+3 is the explanation and the answer is k<8

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Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
2 years ago
How many significant figures are in the measurement 33050 kilograms
juin [17]

Answer:

there are four significant figures

Step-by-step explanation:

zeros to the right of a non zero digit are ambiguous

5 0
3 years ago
Matt is the catcher for his school's baseball team. The catcher must be able to throw from home plate to second base. What is th
Oduvanchick [21]

Answer:

Step-by-step explanation:

127.3

4 0
3 years ago
Read 2 more answers
2. A soccer field is bordered on three sides by a parking lot of width x. The total
notsponge [240]

Answer: 50m

Step-by-step explanation:

this is the logical way I solved it:

1. Find the area of the entire area thing

300*200=60000

2. Subtract the area of the field from the area of the entire place

60000-30000=30000

3. Divide the area of the parking by three because there are three sides

30000 ÷ 3 = 10000

4. Divide 10000 by 200, not 300 because we want to find the side with one <em>x</em>, not two <em>x</em> (there are two sides adding on to the side with 300, but only one side on the side with 200)

10000÷200= 50

I know the steps are weird, but I know this is the right answer because this was on the unit test (same misspelling and everything lol) and during tutoring my teacher showed me how to do it, but of course I had to forget the steps.

4 0
3 years ago
You have two summer jobs. In the first job, you work 25 hours per week and earn $7.75 per hour. In the second job, you earn $6.2
Morgarella [4.7K]

Answer:

3.4 Hours

Step-by-step explanation:

25 x $7.75 = $193.75

$250 - $193.75 = $21.25

$21.25/$6.25 = 3.4 hours

You must work 3.4 hours at the second job.

3 0
3 years ago
Read 2 more answers
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