All categories

2 years ago

Sophia trains with her friend Aisha on a 5-kilometer trail near their school.

Mathematics

1 answer:

KatRina [158]2 years ago

4 0

Answer:

y = 7x

y = 5.5x

Sophia

Step-by-step explanation:

Given that:

Aisha runs 1 km in 7 minutes :

Aisha's function :

y = 7x

x = number of kilometers and y is the number of minutes

For Sophia :

Slope = change in y / change in x = (15.5 - 10) / (1 - 0)

Slope = 5.5

Hence, Sophia :

y = 5.5x

Hence, Sophia runs faster as she completes one kilometer in 5.5 minutes. Which is lesser Than Aisha's time. Of 7 minutes.

You might be interested in

OLLEGE

Sophie [7]

Part 1

$(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is $\boxed{[0, \infty)}$

Part 2

$(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

$4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}$

Thus, the domain in interval notation is $\boxed{\left[-\frac{1}{4}, \infty)}$

8 0

1 year ago

What is the answer for 5 1 -= - +d 6 3

givi [52]

Answer:

D=5/2. 5 over 2

Step-by-step explanation:

Cross multiply and solve for D

5 0

2 years ago

92÷9−5=913 find value of p

Vlad [161]

Answer:

which p? there isn't any p in above equation

3 0

2 years ago

What is the equation of this line? A: y=-3/2x B: y=2/3x C: y=-2/3x D: y=3/2x

creativ13 [48]

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: $\frac{y_2-y_1}{x_2-x_1}$

I will be using (3,2) and (-3,-2) to find the slope:

$m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}$

$y = mx + b\\y = \frac{2}{3}x+b$

(3,2)

$y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b$

$y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x$

Hope this helps!

8 0

1 year ago

WHAT DOES THIS MEAN I DONT UNDERSTAND

Art [367]

Answer:

the goal is to try and get x alone. For the 1st problem, x=3.

Step-by-step explanation:

3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9

3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3

x = 3 Now x is alone, which means x = 3.

This is right because if you plug x with 3, the sum = 10.

(3*3) + 1 =10

9 + 1 = 10

So, that's how you know 3 is the right answer.

3 0

2 years ago