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Oliga [24]
3 years ago
15

7.

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0

Answer:

A. 12

B. 26

Step-by-step explanation:

A. If the output is x = 3, then we just need to substitute 3 in place of x in the equation 2x + 6. This will give us a new equation, 2(3) + 6. 2 times 3 is 6, so we have 6 + 6 which is 12.

B. If the output is x = 10, then we just need to substitute 10 in place of x in the equation 2x + 6. This will give us a new equation, 2(10) + 6. 2 times 10 is 20, so we have 20 + 6 which is 26.

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Find (g*f)(3)<br><br> f(x)= 7x + 8 <br> g(x)= -1/x
Sophie [7]

Answer:

-21-24/x

Step-by-step explanation:

f(x) is a function on his own which is f(x)=7x+8

we multiple it with another function which is g(x)=-1/x

that gives us (g*f)=-7-8/x

then multiple it by 3 we have -21-24x

4 0
1 year ago
a rectangle is 4 centimeters longer than it is wide. the area is 117 square centimeters. find the dimensions of the rectangle
vekshin1

Answer:

  • width: 9 cm
  • length: 13 cm

Step-by-step explanation:

Integer factors of 117 include ...

... 117 = 1×117 = 3×39 ≈ 9×13

The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.

_____

If you want to write an equation for width (w), it might be ...

... w(w+4) = 117

... w² +4w -117 = 0

The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.

If you want to solve this by completing the square, you can to this:

... w² +4w = 117

... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square

... (w+2)² = 121

... w + 2 = ±√121 = ±11 . . . . take the square root

... w = -2 ± 11 . . . . . we're only interested in the positive solution

... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.

7 0
3 years ago
Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solu
lutik1710 [3]

Answer:

we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

Step-by-step explanation:

Given

–2|8 – x| – 6 = –12

adding 6 both sides

–2|8 – x| – 6 +6= –12 +6

–2|8 – x|  = –6

dividing both side by -2

–2|8 – x| /-2 = –6/-2

=>|8 – x|  = 3

we know that

in modulus function |Y| = -y or y

Thus

|8 – x|  = 3

can be written as

8-x = 3   or          8- x = -3

8-x-3 = 0  or      8-x+3 = 0

5-x = 0     or      11 -x = 0

x = 5       or x = 11

thus, we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

8 0
3 years ago
I NEED HELP ! I'LL GIVE THE BRAINLEST ! OUT OF CONTEXT ANSWERS (LIKE 'hadhdjh') WILL BE REPORTED !!!!!
RideAnS [48]

Answer:

Answer to A would be 147872265.5 km squared.

I don't really have enough information to get B and C. But i can help. To get the people per kilometer, you divide the number of people by 147872265.5. And you can do the same for ants. Then for C. you divide the number of ants by the number of people. Hope this helps!

4 0
3 years ago
Read 2 more answers
HELP ASAP WITH MATH DECIMALS!!! I WILL UPROVE!!!
andriy [413]
Total time taken to attach the wheels and hood to a car = 8.216 + 3.652 = 11.868 seconds

Total time taken to attach good and wheels to 425 cars = 11.868 x 425 = 4925.22 seconds


Ans. 4925.22 seconds


8 0
3 years ago
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