All categories

3 years ago

Solve this question—————-

Mathematics

1 answer:

Ber [7]3 years ago

5 0

Answer: (2, -5) (light blue answer choice)

Solving by substitution

−7x+y=−19;−2x+3y=−19

−7x+y+7x=−19+7x (Add 7x to both sides)

y=7x−19

Step: Substitute7x−19 for y in −2x+3y=−19:

−2x+3y=−19

−2x+3(7x−19)=−19

19x−57=−19 (Simplify both sides of the equation)

19x−57+57=−19+57 (Add 57 to both sides)

19x=38

19x/19 = 38/19 (Divide both sides by 19)

x=2

Step: Substitute 2 for x in y=7x−19:

y=7x−19

y=(7)(2)−19

y= −5 (Simplify both sides of the equation)

Therefore: x = 2 and y = −5

You might be interested in

How many sets of 5 students can be selected out of 30 students?

asambeis [7]

There are 142506 ways in which 5 students can be selected out of 30 students.

<h3>How can a certain number of individuals be selected using a combination?</h3>

The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.

By using the formula:

$\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}$

where;

n = total number of individual in the set = 30
r = number of chosing individuals to be selected = 5

$\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}$

$\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}$

$\mathbf{^nC_r = 142506}$

Learn more about combination here:

brainly.com/question/11732255

#SPJ11

4 0

2 years ago

Read 2 more answers

(x²+x+1)+(-2x² 3x+5)

ExtremeBDS [4]

Step one: (((x2)+x)+1)+((0-(2x23•x))+5)

Step two: Check for a perfect cube. 2.1 -2x24+x2+x+6 is not a perfect cube.

2.2 Factoring: -2x24+x2+x+6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x+6

Group 2: -2x24+x2

Pull out from each group separately :

Group 1: (x+6) • (1)

Group 2: (2x22-1) • (-x2)

The groups have no common factor and can not be added up to form a multiplication.

So the answer would be, -2 (x24) + (x2) ++ 6.

7 0

3 years ago

I need help please help me

Mrrafil [7]

Answer:

$y=\dfrac{1}{36}x^2$

Step-by-step explanation:

Where p is the distance from focus to vertex, the equation of the parabola with focus at (0, p) is ...

$y=\dfrac{1}{4p}x^2$

Your parabola has p=9, so the equation is ...

$y=\dfrac{1}{4\cdot 9}x^2=\bf{\dfrac{1}{36}x^2}$

3 0

3 years ago

Ezra is filling bottles of water to hand out during a race. Each bottle of water holds 16 ounces and he has 4,005 ounces of filt

Oksi-84 [34.3K]

So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.

First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:

$\frac{4,005}{16}=250.3125$

And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:

$250*16=4,000$

There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:

$4,005-4,000=5$

So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):

$\frac{5}{4,005} =\frac{1}{801}$

If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle:

$\frac{5}{16}$

3 0

3 years ago

The scale on a map is 5.1 cm : 2 mi. Find the distance in miles between two cities that are 12 centimeters apart on the map. Rou

Lyrx [107]

Your answer is 4.7mi

3 0

3 years ago