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elixir [45]
3 years ago
7

Help me on question 4 plssssssssssss its science not maths

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

idk

Step-by-step explanation:

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Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
3 years ago
Find the Slope and the y- intercept for 5x+5y=-40
zheka24 [161]

Answer:

y-intercept= (0,-8)

slope= -1

Step-by-step explanation:

3 0
3 years ago
Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)
PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0
2 years ago
What fraction plus 7/8 = 1
Bess [88]

Answer:

1/8

Step-by-step explanation:

yes

6 0
3 years ago
a recent survey determained that 7 out of 9 students eat school lunch at least once a week. if 54 students were surveyed how man
Setler [38]

Answer:

12 students

Step-by-step explanation:

Given

Students = 54

Required

Determine the number of students that eat lunch once a week

In Sets;

If out of 9, at least 7 eats one a week then

9 - 7 eats lunch once a week

9 - 7 = 2

<em>In other words;</em>

2 out of 9 students eat lunch once a week

Number of students in this category is then calculated as thus;

Number = \frac{2}{9} * 54

Number = \frac{2 * 54}{9}

Number = \frac{108}{9}

Number = 12

3 0
3 years ago
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