All categories

2 years ago

6x + 4 > 2x - 16 (Given) 4x + 4 > -16 (?) 4x > -20 (Subtraction) x > -5 (Division)

Mathematics

2 answers:

mash [69]2 years ago

8 0

The answer is C
HOPE THIS HELPS

REY [17]2 years ago

6 0

You are subtracting -16-4
So I would assume your answer would be C
I hope this answer helps!

You might be interested in

Can someone help ASAP?<br>

Olin [163]

Answer

$6\sqrt{13}/13$

Step-by-step explanation:

6 0

3 years ago

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Paladinen [302]

Answer:

Answer:

\{ {{20x+30y=280} \atop {y=4x}} .{

y=4x

20x+30y=280

Where xx is the number of small boxes sent and yy is the number of large boxes sent.

Step-by-step explanation:

Let be xx the number of small boxes sent and yy the number of large boxes sent.

Since each small box can hold 20 books (20x20x ), each large box can hold 30 books (30y30y )and altogether can hold a total of 280 books, we can write the following equation to represent this:

20x+30y=28020x+30y=280

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:

y=4xy=4x

Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is:

\{ {{20x+30y=280} \atop {y=4x}} .{

y=4x

20x+30y=280

7 0

2 years ago

Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

4 0

2 years ago

Question 1 of 10

anastassius [24]

Answer:

I believe it's A

Step-by-step explanation:

I'm not sure sorry if its wrong

8 0

2 years ago

How many ounces are in 8lb and 3 ounces

valentinak56 [21]

Hi there!

Simple conversion will greatly help us here. Below I'll list some common conversions for pounds and ounces.

16 ounces = 1 pound
32 ounces = 2 pounds

These will greatly aid us in finding how many ounces are in 3lb and 3 ounces. If we know that 2 pounds = 32 ounces then we know that by multiplying that by 4 we'll get how many ounces 8lb is.

32 ounces * 4 = 128 ounces.

However, we're not done there! There are also a leftover 3 ounces meaning once we add that to our 128 ounces we'll get our final answer.

3 ounces + 128 ounces = 8lb and 3 ounces.
131 ounces = 8lb and 3 ounces.

And that's our final answer. :)

7 0

3 years ago