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3 years ago

Determine the function f(x) satisfying the given conditions.

1 answer:

8 0

<span>f''(x) means function is of grade 1
f(x) = ax + b

f'(x) = a
f'(5) = 1 </span>⇒ a = 1

f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6

f(x) = x - 6

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Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour

PIT_PIT [208]

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

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2 years ago

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3 years ago

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Vesnalui [34]

Answer:

The height of the triangle is $6$ cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is $A=\frac{1}{2}bh$ where $b$ stands for base and $h$ stands for height.

Let's substitute 30 $cm^2$ for the area and 10 for the base.

$30=\frac{1}{2} (10)h$

-------------------->>>>

Now, let's solve to find the height.

$30=\frac{1}{2}(10)h$

Multiply $\frac{1}{2}$ times $10$

$30=5h$

Divide both sides by 5.

$6=h$

-----------------------------------------

Hope this is helpful.

4 0

3 years ago

Construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as sh

padilas [110]

Answer:(24+12\3)m

Step-by-step explanation:

6 0

2 years ago

Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank

stellarik [79]

Kim's Loan:
Let A = amount borrowed from bank A.
Let B = amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000 (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000 (2)

From (1), obtain
B = 55000 - A (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer: Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000 (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530 (5)

From (4), obtain
B = 10000 - A (6)

Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.

3 0

3 years ago