Solve the equation

3s-4s=28

Answer:

detail below

Step-by-step explanation:

slope = difference of y/difference of x

m1 = (3-2) / (7-5) = 1/2

m2 = (-3 - -1) / (5 - 2) = -2/3

m3 = (3 - 6) / (-1 - -4) = -3/3 = -1

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Given:

The functions are:

(1) [tex]h(x)=\sqrt{1-x}[/tex]

(2) [tex]x+y=4[/tex]

(3) [tex]x^2+y^2=16[/tex]

To find:

The domain of given functions.

Solution:

Domain is the set of input and x -values.

Value under the square root must be positive because if the number under square root is negative, then it is a complex or imaginary number.

(1) [tex]h(x)=\sqrt{1-x}[/tex]

The function is defined if

[tex]1-x\geq 0[/tex]

[tex]1\geq x[/tex]

The function is defined for all real values of x which are less than or equal to 1.

Therefore, the domain of the function is (-∞,1].

(2) [tex]x+y=4[/tex]

It is a linear function and linear function is defined for all real values of x.

Therefore, the domain of the function is (-∞,∞).

(3) [tex]x^2+y^2=16[/tex]

It can be written as

[tex]y^2=16-x^2[/tex]

[tex]y=\pm \sqrt{16-x^2}[/tex]

It is defined if

[tex]16-x^2\geq 0[/tex]

[tex]16\geq x^2[/tex]

[tex]4\geq x\geq -4[/tex]

This function defined for all real values of x from -4 to 4.

Therefore, the domain of the function is [-4,4].

Answer:

3/12 ton

Step-by-step explanation:

Given data

Jason has 3/4 ton of stone to spread equally in 3 square yards

Let us divide the 3/4 ton equally by 3 to get the final answer

solution

=3/4/3

=3/4*1/3

= 3/12

Hence each square will take 3/12 ton

Answer:

8.5

Step-by-step explanation:

The competitors in the first race ran 19.5 miles and the competitors in the second race ran 11.

I hope this helps and makes sense! :)

Answer:

(1)=100

Step-by-step explanation:

5.2 divided by 10= 0.52 then divide by 10 = 0.052

so instead do 5.2 divided by 100=0.052

Answer: 100

Step-by-step explanation:

Since you change the decimal place two times to the right, you divide it by 100.

Answer:

7  weeks

Step-by-step explanation:

Given data

Alyssa starts with $30 and saves $5 each week

let the number of weeks be x

y= 30+5x----------1

Bill has $16 and saves $7 each

week.

y= 16+7x----------------2

equate 1 and 2

30+5x= 16+7x

30-16= 7x-5x

14= 2x

x= 14/2

x= 7  weeks

Answer:

-1.5 = -3/2

-4/5 > -5/4

-3/5 = -6/10

-2/3 < 1/3

Step-by-step explanation:

If you convert -3/2 into a decimal, it equals -1.5

-5/4 is an improper fraction which makes it greater than one, but since it is negative, it is further away from zero making it less than -4/5

-3/5 is the simplified form of -6/10. 3x2= 6 and 5x2=10

1/3 is positive making it greater than any negative

Answer:

9

Step-by-step explanation:

1 yard = 3 feet

27 / 3 = 9

Answer: 39.8

Step-by-step explanation:

I just did it on edge 2021.

Answer:

Find the area of both the square and circle and subtract the circle’s area from the square’s

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

m=20

Step-by-step explanation:

9+(-2m)=-31

-2m=-31-9

-2m=-40

m=(-40)/(-2)

m=20

Answer: true

Step-by-step explanation:

Answer:

A e f

Step-by-step explanation:

Hope this was helpful!!!

The equation for the perimeter is 2(2w + 5) = 70, to calculate the width.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the perimeter of a rectangular flower bed = 70 feet

and the length of  the flowerbed is 5 feet more than the width,

let width be w

length = w + 5

perimeter is given by = P = 2(l + b)

P = 2(w + w + 5)

P = 2(2w + 5)

Hence option C is correct to find the width of the rectangular flowerbed.

Learn more about rectangles;

https://brainly.com/question/29067670

#SPJ5

Answer:

The number 64 has 4 in the ones place and 6 in the tens place. Explore different numbers with your children. Discuss how many tens and how many ones (units) there are in each number.

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Step-by-step explanation:

Answer:

I cannot complete this without an image but the answer you might be looking for is 16/25 that is the number simplified when put into decimal form.

Step-by-step explanation:

I did the best I could with what you gave me Vote Brainiest!!

Answer:

20,781.64[tex]in^{3}[/tex]

Step-by-step explanation:

V = [tex]3.14*21^{2} *\frac{43}{3}[/tex]

good luck, i hope this helps :)

Answer:

A. 10

Step-by-step explanation:

y = 10

Im the best mathmatician at my whole college so you can trust me

Answer:

(-17,-14)

Step-by-step explanation:

Step-by-step explanation:

Let w be the uniform width of the safety zone.

We have combined area = 10,800ft².

=> Combined area = Length * Width

= (80 + 2w)(50 + 2w)ft².

Therefore (80 + 2w)(50 + 2w) = 10,800.

=> 4,000 + 260w + 4w² = 10,800

=> 4w² + 260w - 6,800 = 0

=> w² + 65w - 1,700 = 0

=> (w - 20)(w + 85) = 0

=> w = 20 or w = -85

(w = -85 is rejected as width must be positive)

Hence the uniform width is 20ft.

Answer:

19

Step-by-step explanation:

if lane is 14 years older and he is 33 to find michelle's age you just have to subtract 14 from 33 and get that that michelle is 19

Answer:

Michelle would be 19 years old

Step-by-step explanation:

33 minus 14 years is 19 because he is 33 she is 14 years younger so she would be 19 years old

The geometric mean of 24 and 45 is equal to 32.86.

Given the following data:

Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.

Mathematically, geometric mean is given by this formula:

[tex]G=\sqrt[n]{x_1x_2...x_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}[/tex]

G = 32.86.

Read more on geometric mean here: https://brainly.com/question/2292573

Answer:

1

Step-by-step explanation:

2(5)/10

10/10

Answer: -1

Step-by-step explanation: 2x-5/10= -10/10= -1

Answer is 54

1  | 6

2 | 12

3 | 18

4 | 24

5 | 30

6 | 36

7 | 42

8 | 48

9 | 54

Hope this helps

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful afternoon!!!!!

Answer:

3/10

Step-by-step explanation:

4/7 x 21/40

= 1/1 x 3/10

= 3/10

Answer:

97%

Step-by-step explanation:

100% - 3% = 97%

Hope this helps :)

Answer:

the first one 24r+200=500

Answer: -0.5

Step-by-step explanation:

-3b = 4-2.5

-3b = 1.5

(-3b)/-3 = 1.5/-3

b = -0.5

Answer:

should be - 0.5

Step-by-step explanation:

- 3b + 2.5 = 4

1.Turn the equation around

1. -3b = -2.5 + 4.

1. The reason why you turn the 2.5 into a negative is because you basically doing the oppisite if that makes sence.

2. Add -2.5 + 4

2. -2.5 + 4 = 1.5

2. I just added.

3. Plug 1.5 into the equation. Like so

3. -3b = 1.5

3. I just replaced -2.4 + 4 with the answer

4. Divied -3b = 1.5

4. -3b/-3b = 1.5/-3b = -0.5

4. What you do to one side you have to do to the other so -3b/-3b is 0 or it just is not there anymore next you take -3b and divide it by 1.5 and get - 0.5 BAM.  

5. Plug -0.5 in for b.

5. -3(-0.5) + 2.5 = 4  

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

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