IJ=x-4
JK=5x+12
IK=9x-19
IJ+JK=IK
(x-4)+(5x+12)=(9x-19)
x-4+5x+12=9x-19
6x+8=9x-19
6x+8-6x+19=9x-19-6x+19
27=3x
3x=27
3x/3=27/3
x=9
IJ=x-4=9-4→IJ=5
JK=5x+12=5(9)+12=45+12→JK=57
IK=9x-19=9(9)-19=81-19→IK=62
Answer: Option B. IJ=5, JK=57, IK=62
From the graph of the given function , the value of f(1) = -1.
As given in the question,
From the graph of the given function,
Two coordinates from the graph are as follow:
( x₁ , y₁) = (1, -1)
( x₂ , y₂ ) = ( 0, -3 )
Equation of the line representing the function is given by:
(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)
⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)
⇒ (y +1)/ (x-1) = 2
⇒y +1 = 2x -2
⇒ y = 2x -3
To get the value of x we have,
y = f(x)
⇒f(x) = 2x -3
⇒f(1) = 2(1) -3
⇒f(1) = -1
Therefore, from the graph of the given function , the value of f(1) = -1.
Learn more about graph here
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Answer:
179 R 1584
<h3>Part 1</h3>
6 × 384
6 × 4 = 24(carry the 2)
6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23
Put it all together into one number
23 + 0 + 4 = 2,304
<h3>Part 2</h3>
3,856 + 284
6 does not add to 4 so it's 0
5 + 8 = 14(carry the 1 and add 1)
8 cannot add onto 2 so use the one you borrowed and carry. = 1
3 + 1 = 4
Put it together
4 + 1 + 4 + 0 = 4,140
<h3>Part 3</h3>
414,000
Simply add the two 0's in 100 to 4,140
<h3>Part 4</h3>
414,000 ÷ 2,304
Turn 4,140 into the thousands place temporarily.
4140
-2304
=1,836
Drop 0 to the result
18360
-16128
=2,232
Drop 0 again
22320
-20736
=1,584
Finally, you have a result.
179, Remainder 1584
Answer:
both choices with 2x+y = -3
Step-by-step explanation:
to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.
in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.
the given function
2x + y = -3
looks like for the point (-4, 5)
2×-4 + 5 = -3
-8 + 5 = -3
-3 = -3
correct.
but
-2x + y = -3
looks like for (-4, 5)
-2×-4 + 5 = -3
8 + 5 = -3
13 = -3
wrong. the point is not on this function.
as we can therefore rule out 2 of the answer options, the other 2 most be correct.
9514 1404 393
Answer:
c) 70 toothbrushes per minute
Step-by-step explanation:
The table tells you that production is 140 toothbrushes in 2 minutes. Dividing toothbrushes by minutes gives you the "per minute" value:
(140 toothbrushes)/(2 minutes) = (140/2) toothbrushes/minute
= 70 toothbrushes/minute
