L+S = 17 3L + 2S=46
Please show your work

Answer:

y = 1/4 x -3

Step-by-step explanation:

The y intercept ( or where it crosses the y axis ) is -3

Pick 2 points to find the slope

(0,-3) and (4,-2)

The slope is

m = (y2-y1)/(x2-x1)

   = (-2 --3)/ (4-0)

   = (-2+3)/4

   1/4

The slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x -3

Answer:

i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

Answer:

25

Step-by-step explanation:

(-5)^2+10(-5)(2)+25(2)^2

=25+(-100)+100

=25

Answer: 2.18 kilometres

Step-by-step explanation:

First we take down the information given to us

Maria's house to library (distance) = 3.56 km

Simon's house to library (distance) = 1.38 km

Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house

i.e

3.46km - 1.38km  = 2.18km

there for Maria lived 2.18 kilometres farther from the library compared to Simon.

Answer:

There is a variety of answers. you will find an example below

Step-by-step explanation:

To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.

- 5/6 = -40 / 48

5 / 8 = 30 / 48

Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)

5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.

Hope this helps

Answer:

The answer is C.

Step-by-step explanation:

Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :

[tex]2x + y = 9[/tex]

Let x = 5,

Let y = k,

[tex]2(5) + k = 9[/tex]

[tex]10 + k = 9[/tex]

[tex]k = 9 - 10[/tex]

[tex]k = - 1[/tex]

[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

306.36 is the answer

Step-by-step explanation:

Answer:

306.36

Step-by-step explanation:

hope it helps! x

Answer:

y= (x^2-3) + 2

Step-by-step explanation:

It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.

BTW, when writing exponents,  this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.

Hope this helps!

Answer:

no

Step-by-step explanation:

Use the vertical line test.  A vertical line touches more than one point on the graph, so it is not a function

Answer:

5

Step-by-step explanation:

we want to find f(2)

f(x) = 2x+1

Let x=2

f(2)= 2*2+1

     = 4+1

    =5

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

Distribute

2x*x -3*2x

2x^2 - 6x

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

There are a total of 380+240+110 people. (730)

0.52 are in stage 3.

0.33 in stage 2.

0.15 in stage 1.

52 people from stage 3 should be in the group.

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

For more references on range, click;

https://brainly.com/question/28135761

#SPJ5

Answer:

1.5625g would remain after 30 seconds

Step-by-step explanation:

When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.

More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass

Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.

Since it is just 5 half lives, we can proceed manually

In the first, we shall have 25g left

in the second, we shall have 12.5g left

In the third, we shall have 6.25g left

In fourth, we shall have have 3.125g left

and finally, in the fifth, we shall have 1.5625g

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

on the y- intercept the value of x is zero

Answer:

3 squares

Step-by-step explanation:

The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.

The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

First space: 15

Second space: 20

Third space: 0

Fourth space: 20

Step-by-step explanation:

If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:

P(x) = (20 - x)*(30+3x)

P(x) = 600 +30x - 3x2

The vertical axis of the graph represents the profit P(x) of the florist.

So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15

Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)

The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.

Answer:

675

20

(0,20)

Step-by-step explanation:

Answer:

3 acute angles with different measures and 1 right angle and 2 acute angles with same measures

Answer:

9a is equivalent to 11a - 2a because 11a-2a is 9a.

Step-by-step explanation:

Answer:

so the answer is the third one

Answer:

Identity property of addition ( 3 + 5) + 0 = (3 + 5)

Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4

Identity Property of  Multiplication 5(1) = 5

Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7

Commutative Property of Addition 3 + 5 = 5 + 3

Step-by-step explanation:

Answer:

l = ( 2√3 + 1 ) m

Step-by-step explanation:

A = l²√3/4

3√3 = l²√3/4

12√3 = l²√3

l² = √12

l² = √2²·3

l = 2√3 m

when the length of each side increases by 1 meter

l = ( 2√3 + 1 ) m

Answer:

5.5 m

Step-by-step explanation:

The area of equilateral triangle formula:

increased area:

√3/4(a+1)²= A + 3√3

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

Answer:

[tex]y=-\frac{4}{5}x +4[/tex]

Step-by-step explanation:

Recall that slope-intercept form is the following form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

To get an equation into slope-intercept form, we just need to solve for y.

We begin with the equation [tex]4x+5y=20[/tex]. With this, we can solve for y to get our answer.

[tex]4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4[/tex]

Answer: 3 3√3

Step-by-step explanation:

81^1/3

=3√81

= 3 3√3

Answer:

-18 b^-4= -18/b^4

Step-by-step explanation:

-3b^4(6b^-8)

Combine coefficients

-3*6 = -18

Combine exponents since the bases are the same, x^y * x^z = x^(x+z)

b^4 *b^ -8

b^(4+-8)

b^ -4

Put back together

-18 b^-4

We also know that x^-y = 1/x^y

-18/b^4

Answer:

150 km

Step-by-step explanation:

The scale tells you what real distance corresponds to a distance in the drawing. 1 cm in the drawing means 60 km of real distance.

Since 2.5 cm is 2.5 times 1 cm, it represents 2.5 times 60 km of real distance.

2.5 * 60 km = 150 km

Answer:

1) -1

2) -6.66666666667

Step-by-step explanation:

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