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salantis [7]
3 years ago
5

What is the solution of the system?

Mathematics
1 answer:
evablogger [386]3 years ago
8 0
Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y


there are an infinite number of solutions
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Yvette has 366 eggs to put into cartons. She puts one dozen eggs into each carton. How many cartons does she fill?
Anna [14]
You are going to divide 366 by 12 you get 30.5 so 30 filled cartons
are you sure it's not 336 eggs??
7 0
2 years ago
Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
Slope = 2/5; passes through (-3,1)
nydimaria [60]
Presumably we're after the line with that slope through that point.  In general the line through (a,b) with slope m is 

y-b = m(x-a)

Here we have a=-3, b=1, m=\frac 2 5

y - 1 = \frac 2 5 (x--3)

y = \frac 2 5 x + \frac 6 5 + 1

y = \frac 2 5 x + \frac{11}{5}

Check: The slope is clearly  \frac 2 5
 so we check

y = \frac 2 5 (-3) +\frac{11}{5} = \frac 5 5 = 1 \quad\checkmark


8 0
3 years ago
Shawn Fitzgerald finds a suitable property and agrees upon a selling price of $137,900. The mortgage company requires a 20% down
Phantasy [73]
Amount financed
137,900−137,900×0.20
=110,320
number of thousands
110,320÷1,000
=110.32
Multiply it by the monthly payment per thousands
110.32×7.34
=809.7488
Now multiply it by the number of months in a year
809.7488×12 months
=9,716.9856
Multiply it by the number of years
9,716.9856×30
=291,509.568
Now the total amount of interest charged
291,509.568−110,320
=181,189.568 round your answer
=181190...answer

Hope it helps
4 0
3 years ago
Read 2 more answers
Answer please??????????????????????????????/
kirill [66]

The expression that represents the surface area of the square based pyramid is 36 + 15 + 15 + 15 + 15

<h3 />

<h3>How to find the surface area of a square based pyramid?</h3>

The surface area of the pyramid is the sum of the area of the whole faces of the pyramid.

Therefore, the pyramid has 4 triangular faces and 1 square faces.

Therefore,

surface area of the pyramid = area of the square + 4(area of the triangle)

area of the square = 6² = 36

area of each triangular faces = 1 / 2 bh

where

  • b = base area
  • h = height

Therefore,

area of each triangular faces = 1 / 2 × 6 × 5 = 30 / 2  = 15

Hence, the expression is as follows:

surface area of the pyramid = 36 + 15 + 15 + 15 + 15

learn more on pyramid here:  brainly.com/question/17615619

#SPJ1

7 0
2 years ago
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