The icon indicates an exercise designed to provide practice using a calculator. solve y-6= -14

Answers

Answer 1

Answer: y-6=-14
+6 +6
y=-8
.....

Answer 2

Answer: The correct answer is y = -8.

y - 6 = -14 Given
y = -8 Add 6 to both sides; keep in mind that when you add to a negative, the number appears to become smaller (-4 + 1 = -3)

Therefore, y = -8.

Hope this helps!

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The points (0,3) and ( – 2,j) fall on a line with a slope of – 3.
Please help me with this problem 3.14 = 22/7 and r = 7/4
Which answer is the solution set in simplest form?4x-1/3=7/1a 4/3b 7/3c 3/2d 11/2
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Which inequality represents the values of X that insure triangle ABC exists

Answers

Answer:

7/4 < x < 11/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer

Given the information:

AB: 2x + 4
BC: 6x
AC: 16

All of these three triangle inequalities must be satisfied:

AB +BC > AC

<=> 2x + 4 + 6x > 18

<=> 8x > 14

<=> x > 7/4

BC +CA > BA

6x + 18 > 2x + 4

<=> 4x > -14

<=> x > -14/4

CA +AB > CB

18 + 2x + 4 > 6x

<=> 22 > 4x

<=> x < 11/2

So the inequality represents the values of X that insure triangle ABC exists is: 7/4 < x < 11/2

Hope it will find you well.

What is the geometric mean of 50 and 8?

Answers

Answer: a = 8 b= 50.

Step-by-step explanation:

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

$X = (-3ft +- √((3ft)^2 - 4*1*(-50ft^2)) )/(2) = (-3ft +-14.46ft )/(2)$

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

1/2x +31/2y=
Please help I have only till 3 pm

Answers

Answer: $(x)/(2)$ + $(31y)/(2)$

Step-by-step explanation:

1) Combine multiplied terms into a single fraction.

$(1)/(2)$ x + $(31)/(2)$ ⋅ y

2) Multiply the equation by 1.

1x/2+ 31/2 ⋅ y

x/2 + 31/2 ⋅ y

3) Combine multiplied terms into a single fraction.

x/2 + 31/2 y

x/2 + 31y/2

4) Solution

x/2 + 31y/2

There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.

Answers

Answer:

1/2 or 50%

Step-by-step explanation:

Blue= 4, Red= 2, Green= 2

Total marbles= 8

P(B)= 4/8= 1/2 or 50%

Answer:

1/2

Step-by-step explanation:

There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.

Divide and express the result in standard form. 8/7-i

Answers

$i=√(-1)\to i^2=-1\ (i-the\ imaginary\ unit)\n----------------------\n\n(8)/(7-i)\n\nuse\ (a-b)(a+b)=a^2-b^2\n\n(8)/(7-i)\cdot(7+i)/(7+i)=(56+8i)/(7^2-i^2)=(56+8i)/(49-(-1))=(56+8i)/(49+1)=(56+8i)/(50)=(56)/(50)+(8)/(50)i\n\n=\boxed{(28)/(25)+(4)/(25)i}$

assuming the problem is 8/(7-i) you would multiply the fraction by (7+i)/(7+i)
This would then simplify to 8(7+i)/50 which can be simplified down to 4(7+i)/25

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A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.