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3 years ago

Solve forx: (x – 3)/ 3 =4

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

Answer:

x = 15

Step-by-step explanation:

=> x - 3 = 12

=> x = 15

enot [183]3 years ago

7 0

Answer:

your answer is 9/4 check google

Step-by-step explanation:

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In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be appro

PSYCHO15rus [73]

68 - 72!! hope this helps

7 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

Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Trian

OLEGan [10]

Step-by-step explanation:

always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.

5 0

2 years ago

Simplify the expression: 5(x + 2) > 50

kondor19780726 [428]

Answer:

x >8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Help me find the answerr

notka56 [123]

Answer:

m∠3 = 24°

Step-by-step explanation:

By the theorem,

"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."

In the given picture,

∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.

Therefore, m∠3 = $\frac{1}{2}m(\text{arc}ED)$

m∠3 = $\frac{1}{2}(48)$

= 24°

Measure of angle 3 is 24 degrees.

6 0

2 years ago

Solve forx: (x – 3)/ 3 =4​

Solve forx: (x – 3)/ 3 =4