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lianna [129]
3 years ago
14

How do you find the slope intercept form for Y=10-(4x+8)

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0
Slope intercept form is y=mx+b.

slope: -4
y-intercept: 2

Therefore, y=-4x+2 is the slope intercept form of y=10-(4x+8). I hope this helped! Please 5 star this!
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A collection of coins consists of nickels, dimes, and quarters. There are three fewer quarters than nickels and six more dimes t
weeeeeb [17]

Answer:

You have 15 dimes. You have 9 quarters. You have 12 nickels

Step-by-step explanation:

lets set some variables:

let "n" = the number of nickels

let "d" = the number of dimes

let "q" = the number of quarters

So, the total amount of money you have should be: $4.35 = 0.25q + 0.10d + 0.05n

Now let's look at the relationships between the coins:

"There are three fewer quarters than nickels": n - 3 = q

"six more dimes than quarters": q + 6 = d

So now you have three equations with three variables, all you need to do is solve.

\left \{ {{4.35 = 0.25q + 0.10d + 0.05n} \atop {n - 3 = q}} \atop {q + 6 = d}}\right.

first, you can substitute "n-3" for "q" (according to the 2nd equation) in the 1st and 3rd equation, you get:

\left \{ {{4.35=0.25(n-3)+0.10d+0.05n} \atop {(n-3)+6=d}} \right.

You now only have two equations and two variables.

Simplify:

\left \{ {{4.35=0.25n-0.75+0.10d+0.05n} \atop {n+3=d}} \right.

\left \{ {{4.35=0.30n-0.75+0.10d} \atop {n+3=d}} \right.

Now substitute "n+3" for "d" (according to the 2nd equation) in the 1st equation:

4.35=0.30n-0.75+0.10(n+3)

simplify:

4.35=0.30n-0.75+0.10n+0.30

4.35=0.40n-0.45

4.35+0.45=0.40n

4.80=0.40n

n=12

You have 12 nickels. Now sub "n" back into your equations to find the number of dimes and quarters:

n - 3 = q

12 - 3 = q

q = 9

You have 9 quarters.

q + 6 = d

9 + 6 = d

d = 15

You have 15 dimes.

3 0
3 years ago
tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola. equation
stiks02 [169]
( x -3 )² = y - 4
y = ( x - 3 )² + 4
One solution is located at the vertex: ( 3, 4 ).
y = - x + b
4 = - 3 + b
b = 7
( x - 3 )² = - x + 7 - 4
x² - 6 x + 9 = - x + 3
x² - 5 x + 6 = 0
x² - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2,  x 2 = 3
y 1 = 5,  y 2 = 4.
In order for this solution to be reasonable, the 2nd equation must be:
y = - x + 7

8 0
3 years ago
5x^2 - 6x - 28 = 0<br> please help me do this
Yanka [14]

Answer:

x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149

4 0
3 years ago
..............................................
sweet-ann [11.9K]

Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

8 0
3 years ago
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Yo i need help with 1,000,000 + - 3,000,000
Arada [10]

Answer: -2,000,000

Step-by-step explanation:

Think of it as -3,000,000 + 1,000,000

6 0
3 years ago
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