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2 years ago

Graph the inequality below on the number line. x>-6

Mathematics

2 answers:

nirvana33 [79]2 years ago

6 0

Answer:

mark an open dot on -6 then make a line going to the right

Step-by-step explanation:

if the inequality sign is facing the variable (x) then the values will get bigger.

So the direction of the line will go to the right because the values are getting bigger going to the right

lina2011 [118]2 years ago

3 0

Plot an open hole at -6; shade to the right

The open hole is because we don't include -6 itself.

The shading to the right indicates all numbers larger than -6.

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A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)? PLEASE GIVE STEPS

Mila [183]

Set
f
(
x
)
=
0
f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the
x
x- intercepts.

8 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

Hence, the above represents the quadratic equation

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

The actual dimension is 18.28 by 3.28

3 0

3 years ago

Factors of -49 and add up to 14

Salsk061 [2.6K]

1,2,7,14 would be your answer :)

7 0

3 years ago

If a 12 ounce box of cereal costs $3.84, how many ounces should be in a box marked $2.49?

Ivan

Answer:

7.78 ounces

Step-by-step explanation:

We know that:

12 ounce box of cereal = $3.84

Work:

12/3.84 ounce box of cereal = $1
=> 12/3.84 x 2.49 box of cereal = $2.49
=> 7.78 ounces (Rounded to nearest hundredth) = $2.49

Hence, 7.78 ounces cost $2.49.

6 0

2 years ago

Read 2 more answers

Colin maxed out his credit card at $4,000

FinnZ [79.3K]

So Colin is required to pay $300 for 15 total months in order to get his credit card balance down to $0.

In order to find this total, we need to take the amount he is going to pay per month ($300) and multiply is by the total number of months that he is going to be paying that amount (15):

$300 * 15 months = $4,500

The total amount of money that he is going to pay after his card balance reaches $0 is $4,500.

However, Colin only maxed out his credit card to $4,000 - the rest of the money is due to interest. So to find this amount, we take the total amount that he paid ($4,500) and subtract it from the total amount he initially maxed out his card with ($4,000):

$4,500 - $4,000 = $500

The amount of interest that Colin has paid when his credit card balance is $0 is $500.

7 0

3 years ago

Read 2 more answers