The function of f is defined as follows

Answer:

k = -3

Step-by-step explanation:

Given

Variation: Direct

y = -15 when x = 5

Required

Find the constant of variation

A direct variation is represented as:

y = kx

Where

k = constant of variation

Substitute values for x and y

-15 = k * 5

Multiply both sides by ⅕

⅕ * -15 = k * ⅕ * 5

-3 = k * 1

-3 = k

k = -3

Hence, the constant of variation is -3

Answer:

It is the top right one.

Step-by-step explanation:

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

Answer:we have that

k² x³-6kx+9

we know that

The Remainder Theorem says: If the polynomial f(x) is divisible by a bynomial (x-a) then the number "a" is a root of the polynomial f(x)

so

x=1  is a root of the polynomial

therefore

for x=1

k² x³-6kx+9=0--------> k² (1)³-6k(1)+9=0-----> k²-6k+9=0

using a graph tool------> to resolve the second order equation

the solution is

k=3

k=3

k²-6k+9=0---------> (k-3)²=0

the answer is

k=3

Answer:

Ok so if I did this right the answer will be  2ky^kx-8 / x   -2

Answer:

x=3

Step-by-step explanation:

Assuming X3 means 3x, then you would have:

5x+3 = 18, 5x = 15, x=3

9514 1404 393

Answer:

  4

Step-by-step explanation:

Assuming the given numbers are supposed to be (x, y) ordered pairs, the slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -3)/(-4 -(-3)) = -4/-1 = 4

The slope of the line through the points (-3, 3) and (-4, -1) is 4.

Step-by-step explanation:

Total cost

= Cost of tools + Cost of materials

= $130 + 100 * $10

= $1,130.

Answer:

14 times 2 i think

Step-by-step explanation:

Answer

A: c (c-2)/ 2 (c +2)

Step-by-step explanation:

Which is equal to c^2-4c+4/ 12c^3+ 30c^2 divided by c^2-4/ 6c^4 +15c^3?

A: c (c-2)/ 2 (c +2)

B: 2 (c-2)/ c(c+2)

C: 2 (c+2)/ c(c-2)

D: c(c+2)/ 2(c-2)

[c^2 - 4c + 4] / [12×(c^3) + 30×(c^2)] ÷ [c^2 - 4] / [6×(c^4) +15×(c^3)]

Expand the expression

= [c^2 - 2×2×c + 2^2] / [6×(c^2)×(2c + 5)] ÷ [c^2 - 2^2] / [3×(c^3)×(2c +5)]

Factorize the expression

= [(c-2)^2] / [6×(c^2)×(2c + 5)] ÷ [(c-2)(c+2)] / [3×(c^3)×(2c +5)]

Multiply by interchanging the numerator and denominator of the divisor

= [(c-2)^2] / [6×(c^2)(2c + 5)] × [3(c^3)(2c +5)] / [(c-2)(c+2)]

= [(c-2)×3(c^3)] / [6×(c^2)×(c+2)]

= [c×(c-2)] / [2×(c+2)]

= c(c - 2) / 2(c + 2)

[c^2 - 4c + 4] / [12×(c^3) + 30×(c^2)] ÷ [c^2 - 4] / [6×(c^4) +15×(c^3)] = c(c - 2) / 2(c + 2)

Answer:

A: [tex]\frac{c(c-2)}{2(c+2)}[/tex]

Step-by-step explanation:

[tex]\frac{c^{2} -4c+4}{12c^{3} + 30c^{2}}[/tex] ÷  [tex]\frac{c^{2} -4}{6c^{4} + 15c^{3}}[/tex]

expand.  

= [c^2 - 2×2×c + 2^2] / [6×(c^2)×(2c + 5)] ÷ [c^2 - 2^2] / [3×(c^3)×(2c +5)]

factorize.

= [(c-2)^2] / [6×(c^2)×(2c + 5)] ÷ [(c-2)(c+2)] / [3×(c^3)×(2c +5)]

multiply by the reciprocal.

= [(c-2)^2] / [6×(c^2)(2c + 5)] × [3(c^3)(2c +5)] / [(c-2)(c+2)]

= [(c-2)×3(c^3)] / [6×(c^2)×(c+2)]

= [c×(c-2)] / [2×(c+2)]

= A: [tex]\frac{c(c-2)}{2(c+2)}[/tex]

Answer:

20025

Step-by-step explanation:

the answer is

20.025 m

= 20.025×1000 cm

= 20025 cm

Answer:

solve the first equation for y

Answer:   A

Step-by-step explanation: first second last so its 3

Answer:

1 liters

Step-by-step explanation:

Answer:

x= -1 and x= -7

hope it helps.

Answer:

G+2 present age of Olga

and (G+2)+5 her age in five years.

hope it helps.

Answer:

The y-intercept of the equation is zero. It is possible that the line on the graph is horizontal.

Step-by-step explanation:

Answer:

The y-intercept of the equation is zero.

It is possible that the ine on the graph is horizontal

Step-by-step explanation:

The only thing we know for sure is that the function goes through the point (0,0).  The line y = 0 passes through (0,0), so it is possible that the line on the graph is horizontal.  Since x = 0 where y = 0, the y-intercept is also 0.  However, we have no way of knowing for sure what the slope of the equation is.

Answer:

its 3x9+13

Step-by-step explanation:

x

The expression 27+36 as be written as: 9(3+12)

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

We have: 27+36

Prime factorise both the numbers:

27=3*3*3

36= 2*2*3*3

So,

27+36

=3*3*3+2*2*3*3

= 3*(3*3+2*2*3)

=9(3+12)

Hence, The expression 27+36 as be written as: 9(3+12)

Learn more about expression here:

brainly.com/question/11742947

#SPJ2

Answer:

Step-by-step explanation:

Even number smaller than 48 but not greater than 30 i am multiple of 6:

Factor of 72:

So the number is 36

Answer: x=241/144

Step-by-step explanation:......

Answer:

x= 2.88194 or x= 2 127/144

Step-by-step explanation:

I put your question into a math calculator and got this for the answer. Good luck!

Answer:

Option 2 Andrew and Jason rode bikes to the park after Andrew finished his morning chores

Answer:

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→(-1,0)

Step-by-step explanation:

Explanation:-

When rotating a point 180 degrees counterclockwise about the origin

(x,y) →(-x,-y)

Given point ( x,y) = (1,0)

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→ (-1,-0)

(1,0)→(-1,0)

Answer:

5√10

Step-by-step explanation:

The distance between two points A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) on the coordinate plane is given by:

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }[/tex]

From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).

Hence the lengths of the line segment EF and CD are:

[tex]|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}[/tex]

Answer:

1 , 2 , 17 or 34

Step-by-step explanation:

34 can divide by these numbers and still be a whole number

hope this helps...

Answer:

2 green apples

Step-by-step explanation:

you need to find 3 times ___ = 6 so you do 6 divided by 3 and get 2!

Answer:1 sticker

Step-by-step explanation:because 56 is not a multiple of 6

Answer:

The product of 19 and 32 is 608 and their sum adds up to 51.

The two numbers are: 19 and 32

Answer:

Increasing and an asympote

Step-by-step explanation:

Answer:

Increasing and asympote

Step-by-step explanation:

i got right

Answer:

(A ruler) = X  (a pen) = Y

y = x+10

Step-by-step explanation:

Answer:

A ruler cost x pence.

Pen costs 10 pence more than the ruler

Answer:

35° , 55°

Step-by-step explanation:

Let one angle be x.

It's complementary angle is = (90 - x)°

According to the question ,

[tex]x - (90 - x) = 20[/tex]

[tex]=> x - 90 + x = 20[/tex]

[tex]=> 2x = 90 - 20 = 70[/tex]

[tex]=> x = \frac{70}{2} = 35[/tex]