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LenKa [72]
2 years ago
5

Write an equation for the linear function f with the given values Question number 8

Mathematics
1 answer:
ANEK [815]2 years ago
6 0

Answer:

5. y = 2/3x + 1

8. y = 4/7x - 4

Step-by-step explanation:

5. (-6, -3) and (6, 5)

You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept

(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3

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

to find b you can plug in one of the coordinates and the slope

5 = 6(2/3) + b

5 = 4 + b

1 = b

y = 2/3x + 1

8. (-7, -8), (21, 8)

m = (8 -  (-8)) / (21 - (-7)) = 16 / 28 = 4/7

plug in one of the coordinates and the slope to find b or the y-intercept

8 = 21(4/7) + b

8 = 12 + b

-4 = b

y = 4/7x - 4

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Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing
Artemon [7]

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

4 0
3 years ago
32 feet per sec squared into inches
Natasha_Volkova [10]

It would be 32 x 12 because there are 12 inches per feet. So the answer would be 384 inches per sec squared. If this is right could you possibly give me brainliest? Hope this helped.

5 0
3 years ago
Read 2 more answers
Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer sch
sattari [20]

Answer:

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress.

$600 + 10x ≥ $1200

Step-by-step explanation:

From the question, we are told that:

Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer school job.

The amount to make up to complete her wedding dress = $1200 - $600

= $600

To make the rest of the money, Ms. Vicker plans to tutor for Sylvan at a cost of $10 per hour.

= Number of hours Ms vicker must tutor Sylvan to make $600 is calculated as:

$600/$10 = 60 hours

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress is written as

$600 + 10x ≥ $1200

4 0
3 years ago
Answer for Answer? I need the answer to 8 and 9. I’ll answer 2 of yours
steposvetlana [31]
Let's go:

8)

Total of senior students = 38
Total of senior students that preferred evening classes: 7
7/38 = aproximately 0,18 or 18%

Alternative A)

9)
Imagine being sold 100 desserts. Of these 100 desserts, 75% até chocolate, meaning 75 of these desserts are chocolate. Of these 75, 23% contains nuts. So:

75 × 0,23 = 17,25 = aproximately 17,3%

Alternative C)

I hope I helped you.
6 0
3 years ago
Read 2 more answers
The sum of x and it’s opposite is always zero?
jeka94

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

a-a =0

Or in the other case:

-a -(-a) =-a +a=0

So then we can conclude that the expression is a general rule and is true

5 0
3 years ago
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