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Salsk061 [2.6K]

3 years ago

14

Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56

1 answer:

Jobisdone [24]3 years ago

6 0

First step find a common multiple, e.g. 45 and subtract
9x + 5y = 28 * 5
5x + 9y = 56 * 9

45x + 25y = 140
-(45x + 81y = 504)
-56y = -364
56y = 364
y = 6.5

Substitute into any equation
9x + 5(6.5) = 28
9x + 32.5 = 28
9x = -4.5
x = -0.5

x = -0.5 , y = 6.5

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Write a linear function f with f(0)=7 and f(3)=1.

choli [55]

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

$slope = - 2$

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We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

$m = slope$

I choose point (( a )) to put in the equation.

$y - 7 = - 2 \times (x - 0)$

$y - 7 = - 2x + 0$

$y - 7 = - 2x$

Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

Done...

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7 0

2 years ago

HELPPPP will mark brainliest

ArbitrLikvidat [17]

Answer:

12x-2

Step-by-step explanation:

You need to add 5x+1 and 7x-3.

5x+1+7x-3.

We need to organize this into common terms.

5x+7x+1-3

Now we simplify.

12x-2

That is the final answer!!

Hope this helped!!!! :D

6 0

3 years ago

This is an arrangement of data, usually in rows or column's.it is called___?

SashulF [63]

Answer:

Table

Step-by-step explanation:

A table is an arrangement of data in rows and columns, or possibly in a more complex structure.

7 0

3 years ago

How many solutions does this system have? y = 5x - 1 y = -3x + 7

Nuetrik [128]

Answer:

There are no solutions.

Step-by-step explanation:

Nothing can be done further.

3 0

3 years ago

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al

Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

5 0

3 years ago