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natali 33 [55]
3 years ago
7

42x+25y=486, x+y=14show work please help asap!​

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0
Rewrite equations:
x+y=14;42x+25y=486

Step: Solvex+y=14for x:
x+y=14
x+y+−y=14+−y(Add -y to both sides)
x=−y+14

Step: Substitute−y+14forxin42x+25y=486:
42x+25y=486
42(−y+14)+25y=486
−17y+588=486(Simplify both sides of the equation)
−17y+588+−588=486+−588(Add -588 to both sides)
−17y=−102
−17y
−17
=
−102
−17
(Divide both sides by -17)
y=6

Step: Substitute6foryinx=−y+14:
x=−y+14
x=−6+14
x=8(Simplify both sides of the equation)

On Fri, Sep 20, 2019 at 12:08 PM ESQULESE BLACK wrote:

You might be interested in
F
AnnZ [28]

Answer:

The average rate of change of f(x) = x^2 +6x+13  is 12

The average rate of change of f(x) =- x^2 +6x+13 is 10

Step-by-step explanation:

The  average rate of change  of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the  secant line  connecting the 2 points.

We can calculate the average rate of change between the 2 points  by

\frac{f(b) - f(a)}{b -a}-------------------(1)

(1) The average rate of change of the function f(x) = x^2 +6x+13  over  the interval 1 ≤ x ≤ 5

f(a) = f(1)

f(1) = (1)^2 +6(1) + 13

f(1) =1+6+13

f(a) =  20---------------------(2)

f(b) = f(5)

f(5) = (5)^2 +6(5)+13

f(5) = 25 +30 +13

f(5) = 68-----------------------(3)

The average rate of change between (1 ,20) and (5 ,68 ) is

Substituting eq(2) and(3) in (1)

=\frac{f(5) - f(1)}{5-1}

=\frac{68 -20}{5-1}

= \frac{48}{4}

=12

This means that the average of all the slopes of lines tangent to the graph of f(x) between  (1 ,20) and (5 ,68 ) is 12

(2) The average rate of change of the function  f(x) = -x^2 +6x+13 over  the interval -1 ≤ x ≤ 5

f(a)  = f(-1)

f(1) = (-1)^2 +6(-1) + 13

f(1) =1-6+13

f(1) = 8---------------------(4)

f(b) = f(5)

f(5) = (5)^2 +6(5)+13

f(5) = 25 +30 +13

f(5) = 68-----------------------(5)

The average rate of change between (-1 ,8) and (5 ,68 ) is

Equation (1) becomes

\frac{f(5) - f(-1)}{5-(-1)}

On substituting the values

=\frac{68 - 8}{5-(-1)}

=\frac{60}{5+1}

=\frac{60}{6}

= 10

This means that the average of all the slopes of lines tangent to the graph of f(x) between  (-1 ,8) and (5 ,68 ) is 10

4 0
3 years ago
A number minus 8 and then subtracted by 12 is equal to 5 what is the number
san4es73 [151]

Answer:25

Step-by-step explanation: first you do 5+12 which gets you 17. Then you add 17+8 and you get 25. 25 -8=17 17-12=5

7 0
2 years ago
Whoever gets this right first gets a BRAINLYEST
SCORPION-xisa [38]

Answer:

$16.25

Step-by-step explanation:

75% of $65 = $16.25

.75 x 65 = 48.75

65 - 48.75 = 16.25

3 0
3 years ago
For 15 points, label this:
MAXImum [283]

Source of magnetic force - Nail

Source electric force - battery cell

<h3>What is an electromagnet?</h3>

We know that the electromagnet is a type of magnet whose magnetic property depends on the interaction of the magnetic material with an electric field. We can see in the image that the nail which serves as the magnetic material is connected to a cell which is the source of the given electric current.

It the follows that the nail above is the source of the magnetic force because the coils of wire while the battery cell is the source of the electrical force.

Learn more about electromagnet:brainly.com/question/3427992

#SPJ1

4 0
1 year ago
Need help this is my niece work
Murrr4er [49]
It is C 100 then B 100
3 0
2 years ago
Read 2 more answers
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