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3 years ago

Solve for x and y (use elimination or substitution). Show work.

Mathematics

2 answers:

Olenka [21]3 years ago

8 0

Yap this is the answer

mihalych1998 [28]3 years ago

5 0

7x+3y-1 = 10x -7y+9 as vertical angles

7x+3y-1 + x = 180 as supplementary angles

So, we have system of equations:

7x+3y-1 = 10x -7y+9 (1)

7x+3y-1 + x = 180 (2)

1) Simplify equation (1)

7x+3y-1 = 10x -7y+9 -----> -3x +10y =10

2) Simplify equation (2)

7x+3y-1 + x = 180 -----> 8x +3y = 181

(-3x +10y =10)*8 ------> -24x+80y =80

( 8x +3y = 181)*3 ---------> 24x + 9y = 543

-24x+80y =80

+<u>24x + 9y = 543</u>

89y = 623

y = 7

5) -3x +10y =10

-3x + 10*7 =10

-3x +70 =10

-3x = -60

x=20

Answer : x=20, y = 7

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How to solve quadratic inequalities.

Digiron [165]

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.

6 0

2 years ago

For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4

n200080 [17]

Answer:

there are 425 numbers of three digits whose the sum of the digits is even.

Step-by-step explanation:

Option 1:

It is necessary to accomplish one of the next conditions:

(1) all of the digits are even.

(2) exactly 2 of the digits are odd

Then, for the first condition:

4x5x5 = 100 -> this is because the first digit can not be 0.

for the second condition:

(3C1)*5*5*5-1*5*5 =3*125-25=350

where 3C1 is a combination. The 3C1 determines which of the three digits is even, and it is necessary to subtract the numbers under 100 with the other 2 digits odd.

So, there are 450 numbers of three digits whose the sum of the digits is even.

Option 2:

there are 900 three digit number and 5*5*5 =125 has 3 odd numbers and 5*5*5+4*5*5+4*5*5=325 has 1 odd number, so there are 450 numbers of three digits whose the sum of the digitis is odd, so 900-450 whose the sum of the digits is even.

4 0

3 years ago

What is 5.95 × 106 written in standard form? A. 595,000 B. 59,500 C. 5950 D. 5,950,000

tiny-mole [99]

The answer is option D "<span>5,950,000".

</span> $5.95 * 10^6 = 

5 9 5 0 0 0 0/
1 2 3 4 5 6$

Which would equal 5,950,000.

Hope this helps!

7 0

3 years ago

Please help guys I’m really struggling

tatiyna

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : $slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}$

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

$\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4$