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Ipatiy [6.2K]
3 years ago
5

Graph the function f(x) = 1 + 8x. Then find the value of f(x) when x = 1 4 .

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

theres no graph so i will do the second part

Step-by-step explanation:

x=14 8*14=112 1+112 is 113

f(x) is 113

your welcome

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Working at their respective constant rates, machine a makes 100 copies in 12 minutes and machine b makes 150 copies in 10 minute
Marina86 [1]

Since both machines maintain their rate, the number of copies made and the elapsed time are proportional. This means that we can write a proportion like

\text{time}_1 : \text{copies in time}_1 = \text{time}_2 : \text{copies in time}_2

We know the performance of machine a for 12 minutes, and we want those for 30 minutes: the proportion becomes

12 : 100 = 30 : x \iff x = \dfrac{100\cdot 30}{12} = \dfrac{3000}{12} = 250

Similarly, we have for machine b

10 : 150 = 30 : x \iff x = \dfrac{150\cdot 30}{10} = \dfrac{4500}{10} = 450

So, together, the two machines make

250+450 = 700

copies.

4 0
3 years ago
Read 2 more answers
Can you explain how to solve this problem ​
iVinArrow [24]

Answer:

Step 1:

Start by setting it up with the divisor 10 on the left side and the dividend 179 on the right side like this:

             

 1 0 ⟌ 1 7 9

Step 2:

The divisor (10) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 0 ⟌ 1 7 9

Step 3:

Multiply the divisor by the result in the previous step (10 x 0 = 0) and write that answer below the dividend.

       0    

 1 0 ⟌ 1 7 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 6:

The divisor (10) goes into the bottom number (17), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (10 x 1 = 10) and write that answer at the bottom:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

       1 0  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 10 = 7) and write the answer at the bottom.

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 10:

The divisor (10) goes into the bottom number (79), 7 time(s). Therefore put 7 on top:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 11:

Multiply the divisor by the result in the previous step (10 x 7 = 70) and write the answer at the bottom:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

         7 0

Step 12:

Subtract the result in the previous step from the number written above it. (79 - 70 = 9) and write the answer at the bottom.

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

     -   7 0

           9

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 179 divided by 10 calculated using Long Division is:

17

9 Remainder

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
100 points I have answer. Can someone explain this correct answer, I know its correct, but need to understand why? Do we subtrac
lapo4ka [179]

Answer:

c = -6

d = 2

Step-by-step explanation:

After reflection about the x-axis:

A --> A'

(2,3) --> (2,-3)

(4,3) --> (4,-3)

(2,6) --> (2,-6)

After translation:

(2 + c, -6 + d) --> (-4, -4)

2+c = -4

c = -6

-6+d = -4

d = 2

6 0
3 years ago
Read 2 more answers
Find the total surface and each pyramid. Round to the sea<br> SHOW YOUR WORK!
Colt1911 [192]

Answer:

328 square inches

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

Lateral Area of Pyramid:

L = 1/2P<em>l</em>

<em>l</em> = 15.9

P = 2(8.2) + 2(8.2) = 32.8

L = 1/2(32.8)(15.9) = 260.76

Surface Area:

SA = B + L

B = (8.2)(8.2) = 67.24

L = 1/2(32.8)(15.9) = 260.76

SA = 67.24 + 260.76 = 328

8 0
3 years ago
Charlie wants to swim across a river that's is 400 meters wide. He begins swimming perpendicular to the shore he from but ends u
nirvana33 [79]
Let's calculate Charlie swimming distance. Assume Charlie swimming distance is D.
D^2 = 400^2 + 100^2 => D = 412 meters

Assume d is Carter's distance.
d^2 = 400^2 + 150^2 => d = 427 meters

Carter swims more than Charlie by:
d - D = 427 - 412 = 15 meters
4 0
3 years ago
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