MATHEMATICS HIGH SCHOOL

What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.

Answers

Answer 1

Answer:

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: $f(-5) = 17$

We have:

$(f(x))/(x + 5)$ and a remainder of 17

The general rule of the remainder theorem is that:

For $(f(x))/(x + a)$ and a remainder of b

It means:

$f(-a) = b$

By comparing

$(f(x))/(x + a)$ and $(f(x))/(x + 5)$

It means:

$a = 5$ and $b = 17$

So:

$f(-a) = b$ becomes

$f(-5) = 17$

Hence, the conclusion is that:

$f(-5) = 17$

Read more about remainder theorems at:

brainly.com/question/13416073

Answer 2

Answer:

Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

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A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

Answers

A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution. So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7

Answer:

Step-by-step explanation:

Please help! Solve 4(3x +2) = 17x + 6 - 5x + 2
Select the correct choice below and, if necessary fill in the answer box to complete your choice
• A. X = _
• B. The equation has infinitely many solutions.
•c. The equation has no solution.

Answers

Answer:

I know that the equation has infinity many solution

12x+8=12x+8

That would be the final answer

(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than it was that morning. What was the temperature at the base camp Friday evening? (1 point) −9 degrees Celsius −8 degrees Celsius −7 degrees Celsius −6 degrees Celsius

Answers

Answer:

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Step-by-step explanation:

To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:

(i)The temperature at a moutain base camp was - 2 degress Celsius on Thursday:

$T_(o) = -2\,^(\circ)C$

(ii)Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:

$\Delta T_(1) = -1\,^(\circ)C$

(iii)Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:

$\Delta T_(2) = -3\,^(\circ)C$

The temperature at the base camp Friday evening is:

$T = T_(o)+\Delta T_(1)+\Delta T_(2)$

$T = -2\,^(\circ)C-1\,^(\circ)C-3\,^(\circ)C$

$T = -6\,^(\circ)C$

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Answer:

D) -6 degrees Celsius

Circle B has an area of 675 sq meters. What is the diameter of Circle B.

Answers

Answer:

$area = \pi {r}^(2)$

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

$r = √(214.968)$

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

What is the mean of the following data values?53, 71, 89, 10, 87

A. 62
B. 71
C. 82
D. 51

Answers

Answer:

Mean of the given data = 62

Step-by-step explanation:

53, 71, 89, 10, 87

To find mean of the given data values

We add all the numbers and divide by the number of datas

We are given with 5 numbers

LEts add all the numbers

53 +71+ 89+ 10+87= 310

Mean = $(sum of numbers )/(number of data)$

= $(310)/(5)$ = 62

A. 62. If you add up all of the numbers, you get 310, then take this number and divide it by 5. you divide it by five because there are five numbers given.

Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2.

Answers

- Vertex : ( 0, 0 ).
- Focus: ( p/2, 0 );
y² = 1/4 x
y² = 2 p x ⇒ 2 p = 1/4
p = 1/8
p/2 = 1/16
F ( 1/16, 0)
- Directrix:
x = - p/2 x
x = - 1/16 x
- The focal length:
2 p = 2 · 1/8 = 1/4

Answer:

The vertex is (0,0), focus of the parabola is $((1)/(16),0)$ , directrix of the parabola is $y=-(1)/(16)$ , focal width is $(1)/(4)$ .