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3 years ago

Need help with numbers 58 and 60

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

Than is very hard I have faith in you

Step-by-step explanation:

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Two less than 5 times a number is the same as the number plus 6

Alex777 [14]

Answer:

Step-by-step explanation:

from the question,you get an expresion of

6n-5= n + 10

5n = 15

Isolate n

5n/5 = 15/5

n+3

6 0

3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

8 0

3 years ago

Andries get grandfather get offered to give him a gift of 50% of the amount of money he saved in one year. And Ray saved $120. H

sertanlavr [38]

Answer:

$60

Step-by-step explanation:

The savings of Andries is $120 and his grandfather offered that he would give 50% of the amount he saved.

50% is actually just half of a given amount. So the short way to do this is just half the saving of Andries.

$\dfrac{\$120}{2} = \$60$

You can also think of it this way:

$50\%=\dfrac{50}{100}$

So we multiply that to the amount saved to solve for what is 50% of 120.

$\$120\times\dfrac{50}{100} = \dfrac{\$6000}{100}=\$60.00$

7 0

3 years ago

The length of a cell phone is 8 centimeters to the

igor_vitrenko [27]

Answer:

81 mm is more precise

Step-by-step explanation:

millimeters are smaller than cm

8 cm * 10 mm/1 cm = 80 mm

compared to 81 mm

81 mm is more precise

6 0

3 years ago

Read 2 more answers

3x+26=2x+18 find x sjejejejsjsjjejejeje

IgorLugansk [536]

Answer:

Subtract 26 from both sides 3x+26=2x+18 3x+26-26 = 2x + 18 -26

8 0

2 years ago