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2 years ago

Is 3x + 4 a factor of f(x) = 3x2 + 13x2 + 18x + 8?

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Yes, because the remainder of f(x) is 0

tangare [24]2 years ago

5 0

Answer:

4/3

Step-by-step explanation:

correct this answer

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Please plot this linear equation on a graph, and also explain how to plot it. <br> <img src="https://tex.z-dn.net/?f=y%3D3x-7" i

olasank [31]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this equation in a single step, we just need a bit of theory and a graph.

We can first see that its in $y=mx+b$ form. Which is also known as Slope-Intercept form.

This means that we know the following.

$b$ is the y coordinate of the y intercept.
$m$ is the slope of the line.

Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).

Now that we've gotten that, we can start graphing.

The y intercept is -7 so we can plot (0,-7) as one of our points.

The slope of 3 means that we got up 3 units then right a single unit.

Therefore, another point could be (1,-4).

With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.

Cheers!

6 0

2 years ago

Read 2 more answers

Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the

Kitty [74]

Answer:

630 people

Step-by-step explanation:

Ratios:

$\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630$

5 0

3 years ago

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

TEA [102]

Answer:

y = - $\frac{1}{3}$ x + 1

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 )

Here m = - $\frac{1}{3}$ , then

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - $\frac{1}{3}$ x + 1 ← equation of line

8 0

3 years ago

PLEASE HELP ITS A TEST!!

Gnoma [55]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 48 cents?

tamaranim1 [39]

This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.

Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.

Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875

This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.

Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.

3 0

3 years ago