All categories

3 years ago

Given f(x) and g(x) = f(k:x), use the graph to determine the value of k.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

Answer:

k=2

Step-by-step explanation:

We are given that two function f(x) and g(x)

$g(x)=f(kx)$

From given graph

$g(-2)=0$

$f(-4)=0$

$g(-2)=f(-4)$

By comparing we get

x=-2 and

$kx=-4$

$k(-2)=-4$

$k=\frac{-4}{-2}=2$

Hence, the value of k=2

Veseljchak [2.6K]3 years ago

7 0

Answer:

It should be 2

Step-by-step explanation:

You might be interested in

1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

fgiga [73]

Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians

2.
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m

Hope this Helps! Have A Wonderful Day! :)

5 0

3 years ago

Jenna manipulated the equation 4x + 7=10 by adding -7 to both sides.Which of the follolwing properties justifies this manipulati

elena-14-01-66 [18.8K]

The addition property of equality justifies this. You could also say that she simply subtracted 7, and then it would be the subtraction property of equality. This is the case because if you add or subtract (or multiply or divide) the same number on both sides of an equation, the equation will still be the same.

Hope it helps!

5 0

3 years ago

Solve the equation. 2 ( 4z - 1) = 3(z+2) Z=

sveta [45]

Answer:

$z = \frac{8}{5}$

Step-by-step explanation:

Calculate for the value of $z$ :

$2(4z - 1) = 3(z + 2)$

-Use Distributive Property on both left and right:

$2(4z - 1) = 3(z + 2)$

$8z - 2 = 3z + 6$

-Take $3z$ and subtract $8z$ :

$8z - 3z - 2 = 3z - 3z + 6$

$5z - 2 = 6$

-Add $2$ to both sides:

$5z - 2 + 2 = 6 + 2$

$5z = 8$

-Take $5z$ and divide on both sides:

$\frac{5z}{5} = \frac{8}{5}$

$z = \frac{8}{5}$

Therefore, the value of $z$ is $\frac{8}{5}$ .

4 0

4 years ago

Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.

jarptica [38.1K]

Answer:

Standard Form: y = 4(x-1)(x+5)

Step-by-step explanation:

4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)

if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(

5 0

2 years ago

Think I.know but not sure. Hope someone can help

krok68 [10]

It would be the one where measurement 1m is the side of the triangle, measurement 0.75m is the bottom of the triangle, and measurement 2m is the long side of the rectangle

3 0

3 years ago