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3 years ago

Help, please this is my last question and i cant figure it out

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Hi! Your answer is y = x + 4

Please see an explanation for a better and clear understanding to your problem!

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Here are the reasons why it's A choice which is y = x + 4.

The graph passes through y-axis at (0,4) which makes it obvious that the graph has y-intercept/b-value equal 4.
The graph has slope of 1. We can tell by rise over run (A glance can tell that the graph has slope of 1.)
Other choices have y-intercept at (0,0) also known as "origin point". The graph shown doesn't pass an origin point but passes through (0,4) as explained.

Here is the slope-intercept form, it might benefit you in some questions!

$\HUGE{y=mx+b}$

where m = slope and b = y-intercept.

Hope this helps! :)

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Roger can run one mile in 18 minutes. jeff can run one mile in 15 minutes. if jeff gives roger a 1 minute head start, how long w

gladu [14]

Alright, lets get started.

Roger can run one mile in 18 minutes.

Jeff can run one mile in 15 minutes.

Suppose in x minutes, they both will catch up.

Roger runs in 18 minutes = 1 mile

So, Roger will run in 1 minute = $\frac{1}{18}$ miles

So, Roger will run in x minutes = $\frac{x}{18}$ miles

Jeff runs in 15 minues = 1 mile

So, Jeff will run in 1 minute = $\frac{1}{15}$ mile

As Jeff gives roger a 1 minute head start, means Jeff will have x-1 minute time to run

So, Jeff will run in (x-1) minute = $\frac{x-1}{15}$

As both are cathing up means they both runs same distance, means

$\frac{x}{18} =\frac{x-1}{15}$

Cross Multiplying

$15 x = 18x - 18$

$3 x = 18$

x = 6 minutes

So for calculating distance = $speed * time$

Distance = $\frac{1}{18} *6 = \frac{1}{3}$ miles

It means it will take 1/3 or 0.33 miles before jeff catches up to roger. : Answer

Hope it will help :)

4 0

3 years ago

A quarter weighs about 0.025 pounds. what is this number written in scientific notation?

Dmitry [639]

It would be 2.5E-2 or with the power of 10 it would be 2.5 x 10^-2

6 0

4 years ago

Read 2 more answers

2(x + 7) + 3x = 12 What is the first step in solving this equation for x? A) 2x + 14 + 3x = 12 Eliminate B) 2x + 7 + 3x = 12 C)

zhuklara [117]

The first step to solve is A

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4 years ago

Read 2 more answers

Write the expression for the sum of 6 and a number.

sdas [7]

1. 6+n
2. n/2
3. n/4
4. seven less than a number

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3 years ago

A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point

$f(t) = a(t-0.76)^2 + 57$ , now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a then we substitute a to get the quadratic equation therefore f is

$f(t) = -9.9788169(t-0.76)^2 +57$

4 0

3 years ago