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3 years ago

HELPPPPPP MEEEEE y=6x-1 and -2x-3y=-2 USING SUBSTITUTION

1 answer:

7 0

Answer:
x = 4
y =23

work:
plug in the value of Y to -2x-3y=-2. -2x - 3(6x-1) = -2
multiply 3 and the numbers in parenthesis. -2x -18x - 3 =-2
combine like terms (-2x -18x). -20x - 3 = -2
subtract 3 from both sides to isolate the variable. -20x = -5
divide to isolate the variable (-20/-5) x = 4
-
now that we know the value of x, it'll be easy to find Y.
Plug it in to the first equation.
y=6(4)-1
y = 24 - 1
y = 23

so x = 4
and y = 23

hope this helps! :D

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Determine the standard form of the equation of the line that passes through (0,5) and (4,0)

Alona [7]

(0,5)(4,0)
slope = (0 - 5) / (4 - 0) = -5/4

y = mx + b
slope(m) = -5/4
use either of ur sets of points....(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -5/4(0) + b
5 = b
so ur equation is : y = -5/4x + 5...but we need it in standard form...

y = -5/4x + 5
5/4x + y = 5....multiply everything by common denominator of 4
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3 years ago

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden

alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

$.75d+1.25g=21.00\\d+g=22$

I prefer to solve using substitution, but elimination can be used as well

$.75d+1.25g=21.00\\g=22-d$

We can now plug in this g value to the first equation

$.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13$

This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

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Let me know if you have any questions! Spread the love.

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2 years ago

What number is least likely to be represented by -4.5.

elena55 [62]

My answer is should: increase of 4.5

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3 years ago

18-(∛27)^3 Find The cube root

pickupchik [31]

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2 years ago

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.

swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of $x$ cm, then it's diagonal have the length of $x\sqrt2$ cm. Using the circle's area we can find the diagonal of the square, as shown below:

$area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222$

Since the diameter of the circle is the same as the diagonal of the square, then:

$x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971$

The side of the square is 5.971 cm

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3 years ago

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