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padilas [110]
3 years ago
6

The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below. what is the value of k?

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0
Since adding a constant to a function simply moved the graph upwards by that amount, solve f(x) for any value and see how much the graph given is different from that value of y...the simplest way in this case may be to simply find f(0) which is:

5*2^0=5

Clearly the graph at x=0 is at y=-2  so we can see that k is:

5+k=-2 so

k=-7
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A shipment of sugar fills 4 3/8 containers. If each container holds 2 1/7
Alex

Answer:

  9 3/8 tons

Step-by-step explanation:

The product is ...

  (4 3/8 containers)(2 1/7 tons/container) = (35/8)(15/7) tons = 75/8 tons

  = 9 3/8 tons . . . of sugar in the shipment

7 0
2 years ago
A rectangular plot of ground is 5 meters longer than it is wide, It’s area is 20,000 square meters
Artyom0805 [142]
I'm assuming you're looking for the dimensions of the plot.  I'm going with that.  ;)  If the length of the plot is 5 meters longer than the width, then L = w + 5.  The area for a rectangle is L*w, and we have an area value of 20,000 so our formula is 20000=(w+5)(w) and 20,000=w^2+5w.  We will bring the 20,000 over by subtraction and set the polynomial equal to 0 to factor and solve for w.  w^2+5w-20,000=0  Solving for w we get values of w=138.9 and -143.9.  Of course the 2 things in math that will never EVER be negative are time and distance/length, so -143.9 is out.  Our width is 138.9 and the length is 138.9 + 5 so the length is 143.9.  And there you go!  Hope that's what you needed!
8 0
2 years ago
There are 95 children at sports camp. 1/5 of children want to play basketball. How many children want to play basketball?
GalinKa [24]
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8 0
3 years ago
A school had a girl:boy ratio 5.4.
Ilya [14]

Answer:

164

The 982 part seems wrong. Are you sure it isn't 981?

around 436 if I use 981 instead. 982 would give a decimal and that would be kinda weird for a part human.

Step-by-step explanation:

You can divide the 205 by 5 to simplify the ratio down. 205/5 = 41. Then you can multiply by 4 to find then number of boys.

981

So you can add the 5 and 4 together to 9 and then divide 981 by 9 to get 109. Then you can multiply by 4 to get 436.

Hope this helps!

8 0
2 years ago
A) Write 600 as the product of prime factors.<br> Give your answer in index form.
dlinn [17]

Answer:

3 × 5 × 5 × 2 × 2 × 2

Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

150 × 2 = 300

300 × 2 = 600

Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

4 0
3 years ago
Read 2 more answers
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