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ddd [48]
3 years ago
6

Could someone help me with this (picture) please explain if you could I don't really understand.

Mathematics
2 answers:
gregori [183]3 years ago
7 0

Answer:

10t + D = 40

Step-by-step explanation:

y = mx + b is the equation of a line in slope intercept form. We'll be using this equation since the slope, or distance traveled, is steady (linear). In this case, the slope is 10 since Sarah's pace is 10 km/hr. m is the slope, so m = 10.

y = 10x + b. However, she needs to run 40 km. So we're going to substitute 40 in for y.

40 = 10x + b. Now, we need to use t instead of x since that's what's been asked of us. (The slope represents the distance traveled over time, so t fits.)

10t + b = 40

b needs to become D, the distance in kilometers.

So now we have 10t + D = 40

sesenic [268]3 years ago
6 0

Answer:

D(t)= 40-10t

Step-by-step explanation:

#KmNn

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Christine sleep form 11pm until 9am what fraction of a day does Christine sleep​
Natalija [7]

10/24 = 5/12 = 2.5/6

take it as u will

7 0
3 years ago
When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)
AleksAgata [21]
First let's find the slope
Slope formula: 
\frac{y_2-y_1}{x_2-x_1} =slope
Given the two coordinates: 
(-4,-7) (3,2) 
 x1,y1  x2,y2

Plug these numbers into the formula
\frac{2-(-7)}{3-(-4)} = \frac{9}{7}
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer: 
<span>y-2=9/7(x-3)</span>
8 0
3 years ago
42-7x=6y <br> solve for y<br> Show your steps
Stels [109]

Answer:

  y = -7/6x +7

Step-by-step explanation:

To get y by itself, divide by its coefficient.

  (42 -7x)/6 = y

We can simplify this and swap sides to get ...

  y = -7/6x +7

3 0
2 years ago
Write the explicit rule for the arithmetic sequence
blagie [28]
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n

Answer: an=23+4n
6 0
3 years ago
Evaluate the function below for x = 2.<br>f (x) = 4x^3 - x^2 - 5x+7<br>​
nexus9112 [7]

Answer: f(2)=25

Step-by-step explanation:

You know that the given function is:

f(x)=4x^3-x^2-5x+7

You know that you must evaluate this function for x=2.

Then, to evaluate the function for x=2, you need to substitute this value into the given function and simplify it.

Therefore, you get:

f(x)=4x^3-x^2-5x+7\\f(2)=4(2)^3-(2)^2-5(2)+7\\f(2)=4(8)-(4)-10+7\\f(2)=32-4-10+7\\f(2)=25

So, the answer is: f(2)=25

8 0
3 years ago
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