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Lelechka [254]
2 years ago
8

A system of equations is shown below.

Mathematics
1 answer:
katrin [286]2 years ago
4 0

Answer:

I: 4x-5y=-10

II: 2x-7y=4

c) multiply the second equation by -2 and add the result to the first equation

II*-2=-4x+14y=-8

add I+II*-2: 4x-5y+(-4x+14y)=-10-8

=9y=-18

Step-by-step explanation:

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14x – 13 + 14x – 13 = 23x + 49
Vsevolod [243]

Answer:

x=15

Step-by-step explanation:

3 0
3 years ago
the slope of the line below is -4 write a point-slope equation of the line using the coordinates of the labeled point
Alik [6]

Answer:

y+9=-4(x-4)

Step-by-step explanation:

Point-slope is the equation y-y1=m(x-x1), where y1 is your y-coordinate and x1 is your x-coordinate.

8 0
3 years ago
Read 2 more answers
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
exis [7]

(1)

If there are three times as many males as females, the ratio of males to females would be 3:1.

To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.

We can then say there are 75 males and 25 females.

Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;

r(m) =  \frac{3}{4}

(2)

Let x be the number of cola bottles

Let y be the number of smarties

Let z be the number of marshmallows

x=3y (since there are 3 times more x than y)

y=2z (since there are 2 times more y than z)

we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.

Adding up our total sweets we get;

1+2+6=9

But how many of those are cola bottles? 6!

So the ratio of cola bottles can be expressed as,

r(c) =  \frac{6}{9}  =  \frac{2}{3}

You can simplify the numerator and denominator by 3 to get 2 over 3.

5 0
2 years ago
F (10) = 10/2 = 5 . how to solve this problem​
Sonja [21]

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

\sf f(10)=\dfrac{10}{2}=5

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

\sf f(x)=\dfrac{x}{2}

3 0
2 years ago
Read 2 more answers
Hey how to do this and what the answer​
frez [133]

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $.

where: $ (x_1,y_1) $ and $ (x_2,y_2) $ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒  $ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $

$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $

$ \implies y - 21 = 5x - 25 $

⇒                              5x + y - 4 = 0

8 0
3 years ago
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