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Amiraneli [1.4K]
2 years ago
15

The lines y= 2x+4 and y=x-3 intersect. find the coordinates of the point of intersection

Mathematics
1 answer:
Yuri [45]2 years ago
5 0

Answer:

(-7, -10)

Step-by-step explanation:

Solve for x and y in double variable equation

y = 2x + 4

y = x - 3

y = x - 3, plug in to first equation

x - 3 = 2x + 4

x = -7

y = -7 - 3

y = -10

(-7, -10)

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Simplify 143.87x34.65x87.78+12.63-19.63 to the nearest tenth.
lesya692 [45]

Answer:

437584.68

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help!<br>what polynomial must be added to <br>−5x^3 + 4x − 3 so that the sum is x^2 − x − 1?
lakkis [162]
<h3><u>Solution:- </u></h3>

Let the number to be added be A

Now,

\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3  + A = x^2 − x − 1 \\\end{gathered}

Transposing (−5x³+ 4x − 3 ) to other side-

\begin{gathered}\\\implies\quad \sf   A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered}

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

\begin{gathered}\\\implies\quad \sf   A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered}

Putting like terms together -

\begin{gathered}\\\implies\quad \sf   A = 5x^3 +x^2 - x -4x +3 -1  \\\end{gathered}

\begin{gathered}\\\implies\quad \sf   A = 5x^3 +x^2 -5x +2 \\\end{gathered}

\longrightarrowTherefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1

6 0
3 years ago
Perform the addition or subtraction and simplify. (20 points)
pentagon [3]
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).

Problem: x/ x-6 - 1/x+5

Step 1: multiply x-6 to the numerator and denominator of 1/x+5

1(x-6)/ (x+5)(x-6)

Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)

After all that, this is how the problem should look now

x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)

If you simplify this you get

x²+5x-x+6/ (x-6)(x+5)

If you subtract both 5x-x (like terms) you get

x²+4x+6/ (x-6)(x+5)
which is the answer

7 0
3 years ago
8. If 30 cents out of every 1 dollar goes to taxes and the rest is net income, what's the
aniked [119]

Answer:

  • D. 3:7

Step-by-step explanation:

1 dollar = 30 cents tax + 70 cents net income

<u>The ratio of taxes to net income:</u>

  • 30 : 70 =
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Correct choice is D

4 0
3 years ago
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Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
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