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2 years ago

If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4).

Mathematics

1 answer:

Bess [88]2 years ago

8 0

Answer:

False

Step-by-step explanation:

Given

Polynomial: f(x)

Divisor: (x - 4)

Required

Determine the remainder

To determine the remainder, we have to equate x - 4 to 0

i.e.

$x - 4 = 0$

Add 4 to both sides

$x - 4+4 = 0+4$

$x = 0+4$

$x = 4$

Substitute 4 for x in f(x) to get the remainder.

So, f(x) becomes f(4)

The result of f(4) is the remainder f(x) when divided by x - 4

<em>Hence, the statement is false.</em>

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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0

2 years ago

Can I have halp with all and an explanation because I am terrible at properties.

Salsk061 [2.6K]

1. 4 • (–3) • 5
so 4 x (-3) = -12 and then -12 x 5 = -60
2. (2.25 x 23) x 4
so (2.25 x 23) 51.75 and then 51.75 x4 = 207
4. 5 x 12 x (-2)
so 5 x 12 = 60 and then 60 x (-2) = -120
5. 35(26)(0) =
so 35 x 26 = 910 and then 910 x 0 = 0

4 0

3 years ago

Three years after paying $2800 in a startup company, you sell for $2200. The total percent return is what?

masha68 [24]

Answer:

The total percentage return is 26.19

Step-by-step explanation:

Given as :

The amount paid for three years = $ 2800

So, Total amount paid for three years = $ 2800 × 3 = $ 8400

The return amount after three years = $ 2200

The time period = 3 years

Let the percentage return = x %

So, According to question

x % of $ 8400 = $ 2200

Or, x % = $\frac{2200}{8400}$

Or, $\frac{x}{100}$ = $\frac{11}{42}$

∴ x = $\frac{11}{42}$ × 100

I.e x = 26.19

Hence The total percentage return is 26.19 Answer

3 0

2 years ago

It takes you 47 seconds to walk from the first (ground) floor of a building to the third floor.

Musya8 [376]

Answer: 117.5 seconds

Step-by-step explanation:

Given : It takes you 47 seconds to walk from the first (ground) floor of a building to the third floor.

Since from first floor to third , a person need to pass two levels of staircase.

We assume that the person walk at the same pace and the height of all floors are same.

The time taken to pass each level = (Time taken to pass 2 levels) ÷ 2

= (47 seconds) ÷ (2) = 23.5 seconds

Also, the from first floor to sixth floor , a person need to pass 5 levels of staircase.

Then, the time taken to pass each level = 5 x (Time taken to pass one level)

= 5 x 23.5 =117.5 seconds

Hence, it will take 117.5 seconds to walk from the first floor to the sixth floor.

4 0

3 years ago

kenya plans to make a down payment plus monthly payments in order to buy a motorcycle at one dealer she would pay 2500 dollars d

Snowcat [4.5K]

<span>2500+150x=3000+125x
150x-125x=3000-2500
25x=500

</span><span>x=500/25
x=20 mo
----------------
2500+150*20=3000+125*20
5500=5500 total paid after each month.</span><span>

</span>

8 0

3 years ago

Read 2 more answers