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olga nikolaevna [1]
3 years ago
6

What is the solution to the system of equations?

Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

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Coach Johnson need to buy shin guards for junior varsity and varsity basketball players the following package of shin guards are
Firdavs [7]

Answer:

$1.50

Step-by-step explanation:

To find the best deal, we first want to consider price per unit. To find the price per unit, we divide the price by the number of units. For the 10 shin guard package, our price is 14.50, and we divide that by 10 to get 1.45 . Therefore, our unit price for the package of 10 is $1.45 per shin guard. Similarly, we can find the unit price for the package of 15 to be 22.5/15 = $1.50 per shin guard. As 1.50 is greater than 1.45, the lowest unit price is for the package of 10.

The question is asking for us to compare the prices if we bought 30 of each. For the package of 10, we get 1.45*30 (as we're buying 30 for 1.45) = 43.5 as the total price, and for the package of 15, we get 1.5*30 = 45 as our price. As 15 and 10 are both factors of 30, we don't need to worry about converting it back into packages of 10/15. The difference between buying 30 at the lowest and highest unit price is therefore (45-43.5)=1.5 dollars

4 0
3 years ago
Read 2 more answers
Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
7 0
3 years ago
The cost of five books is 71 dollars what is the cost of each book
Sedbober [7]
Divide 71 and 5 to get a decimal since 71 does not end with 5 or 0. Do it to get 14 1/5 or 14.2
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3 years ago
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Multiply all three numbers to get 560 yards cubed :))
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Please solve fast. Q.No. 26 and 29.<br>26. x²+5x+25/4<br>27. x²/4y²-2/3+4y²/9x²​
Usimov [2.4K]

Step-by-step explanation:

26. x²+5x+25/4 = (x + 5/2)²

29. x²/4y²-2/3+4y²/9x² = (x/2y - 2y/3x)²

6 0
2 years ago
Read 2 more answers
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