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3 years ago

Solve the system of equations without graphing. Show your reasoning. 2y=x-4 4x + 3y = 5

Mathematics

2 answers:

Deffense [45]3 years ago

6 0

Answer:

x=2 and y= -1

Step-by-step explanation:

1) we transform first equation

2y= x-4

2y +4= x

So x= 2y+4

2) we insert equation from 1) into second equation

4*(2y+4)+3y=5

8y+16+3y=5

11y+16=5

11y= -11

y= -1

3) insert y into 1)

x= 2*(-1)+4

x= -2+4

x= 2

skad [1K]3 years ago

3 0

Answer:

the answers are x=-1 and y=-2

Step-by-step explanation:

becuz mafs

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The graph below shows a proportional relationship between x and y. What is the constant of proportionality,

yarga [219]

Answer:

0.5

Step-by-step explanation:

you just need see at one point. i see at point (1, 0.5)

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3 years ago

{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }

zhenek [66]

Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

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Is it a function? Yes

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3 years ago

Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy

sleet_krkn [62]

Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

The equation of a line passing through two points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

y represent the number of baskets made and x represents the time take. Given that the line passes through the points (0, 11) and (100, 33), hence:

$y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y= \frac{11}{50}x+11$

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

$y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11 \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets$

5 0

3 years ago

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aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Both are negative so it come out to positive and then 8*4 is 32

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3 years ago

What is 10 1/7 divided by 5 as a fraction or mixed number?

juin [17]

= 2 1/35
75/7 divided by 5/1
71x1/ 7x5
= 71/ 35
Therefore, 2 1/35

7 0

2 years ago