Solve for x. enter your answer in interval notion using grouping symbols. x^2+2x<15

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

2 years ago

Read 2 more answers

The two triangles are similar. Determine the values of x, y, and z.

insens350 [35]

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

8 0

2 years ago

Which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

avanturin [10]

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Step-by-step explanation:

We need to identify which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

Rules for transformation:

Horizontal shift: depends on the value h

if g(x)=f(x+h) then: the graph is shifted left h units

if g(x)=f(x-h) then: the graph is shifted right h units

Vertical Shift: depends on the value k

if g(x)=f(x)+k then: the graph is shifted up k units

if g(x)=f(x)-k then: the graph is shifted down k units

Reflection:

if g(x)=-f(x) then graph is reflected at x-axis

if g(x)=f(-x) then graph is reflected at y-axis

Vertical Stretch:

if g(x)=c.f(x) then graph is vertically stretched.

In the given question:

f(x)= x^2

g(x)=-3(x+1)^2-4

Applying the above rules of transformation:

The graph is:

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Keywords: Transformations

Learn more about Transformations at:

#learnwithBrainly

7 0

2 years ago

The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box

Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0

2 years ago

1. Find the value of (−0.024)square

Lelu [443]

0.000576 is the right awnser

4 0

2 years ago