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murzikaleks [220]
3 years ago
9

A marathon runner runs 7.6 mph for 3 and half hours how many miles has he run

Mathematics
1 answer:
igomit [66]3 years ago
6 0
7.6 x 3.5 = 26.6 miles 
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Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the
Artist 52 [7]

Answer:

(a)

f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4

(b)

f(a+h)-f(a)=2ah+h^{2} -3h

(c)

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4

(b)

Evaluate (a) in the function:

f(a)=a^{2} -3a-4

Using the previous answers lets calculate f(a+h)-f(a)

f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11

7 0
3 years ago
A recipe requires 31 cup of milk for each 41 cup of water. How
avanturin [10]

Step-by-step explanation:

here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

<em>hope</em><em> </em><em>u</em><em> </em><em>get</em><em> </em><em>it</em><em>.</em><em>.</em>

6 0
3 years ago
Which is greater, less than, or equal to. 6 pints is _______ 60 fluid ounces
Liono4ka [1.6K]
The answer is 6 pints equal to more than 60 fluid ounces

1 pint = 16 ounces.
6 pints = x

Use the proportion:
1 pint : 16 ounces = 6 pints : x
x = 16 ounces * 6 pints : 1 pint
x = 96 ounces

6 pints = 96 ounces > 60 ounces
Therefore, 6 pints equal to more than 60 fluid ounces
3 0
2 years ago
Read 2 more answers
Someone help plss show work​
Mazyrski [523]

Answer:

Slope: \frac{3}{5}

Y-Intercept: (0,-5)

Step-by-step explanation:

1. To find the slope, we need to have the equation in slope-intercept form, which is y=mx+b. In this case, our equation is already in this form. m is what your slope is. In this case, our

2. To find the y-intercept we look at value b that is in y=mx+b. In this case, b is -5. So, our ordered pair is (0,-5).

4 0
2 years ago
Read 2 more answers
What is the value of a?
bearhunter [10]

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

8 0
2 years ago
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