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nasty-shy [4]
3 years ago
10

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

If his time returning exceeded his time going by 30 min, find his time going and his time returning.
Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0
<span>Took him four hours to get home from New York. If his trip to New York took 30 minutes longer, then his trip to Chicago took 4.5 hours. I think this is right!! hope it helped!!

</span>
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8. Do the following tables represent a linear or non-linear relationship?
Dennis_Churaev [7]

Answer:

the first table is a non-linear relationship and the second table is a linear relation ship because the first table as a curve in its line and it is not straight making it non-linear the second table is linear because it forms a straight line making it linear

Step-by-step explanation:

to find a linear relationship place the points on the graph. then if the they form a straight line then your table is linear

Also to find a nonlinear relation ship place the points that are given to you on a graph and if they are not a straight line then they are a nonlinear relationship

6 0
3 years ago
Read 2 more answers
Please help me with this!!!
Alex Ar [27]
He’s right !! He helps me with my problems!
4 0
2 years ago
Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the
Finger [1]
the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b) 
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is 
the minimum perimeter of the rectangle is 170 units


6 0
3 years ago
Write a phrase $3 more than four times the cost of a pretzel as an algebraic expession
olasank [31]

Answer:

4x+3

Step-by-step explanation:

Let

x ----> the cost of a pretzel

we  know that

The phrase" $3 more than four times the cost of a pretzel" is equal to multiply the cost of a pretzel x by 4 and adds the number 3

so

The algebraic expression is

4x+3

4 0
3 years ago
Cos^2x+4cosx+4/cosx+2=2secx+1/secx
Lorico [155]

Answer:

\frac{\cos^2x+4\cos x+4}{\cos x+2}=\frac{2\sec x+1}{\sec x}

Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}

\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}

7 0
3 years ago
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