Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain
Answer:
[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]
Step-by-step explanation:
4x + y = z
4x = z - y
x = 1/4z - 1/4y
Let U be the set of whole numbers from 5-10 inclusive. Set A= {5, 7, 9}, Set B = {5, 8, 10}. AU~B <---------
Answer:
Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...
Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...
Plot the graph of the linear equation. 3x-2y=6
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!
Find the gradient of the line
3y + 2x = 1
how to guys
Answer:
-2/3
Step-by-step explanation:
The gradient of a line is its slope. You can just convert the equation to slope-intercept form (y=mx+b where "m" is the gradient/slope):
3y + 2x = 1
3y = 1 - 2x
y = 1/3 - 2/3x
y = -2/3x + 1/3
So, as we can see, -2/3 is the gradient/slope of the line.
Help please 6th grade math
Answer:
Step-by-step explanation:
-1
what percent of 60 is 15? Please help 10points
25% of 60 is 15
If divide 15 by 60 we find that it is eqyivalent to the ratio of 1/4. 1/4 is the same as 25%.
Answer:
25%
Step-by-step explanation:
25% means one fourth. 15 is exactly 1/4, or 25% of 60.
Hope it helps you! :)
[tex]GraceRosalia[/tex]
Terrance earned $444 in March, $523 in April and $410 in May. He divided his earnings between himself and his 4 other workers. How much did they each earn?
Answer:
$275.40
Step-by-step explanation:
Add 444+523+410=1377
divide 1377 by 5 and u get 275.4
o differences between constructing an inscribed regular hexagon and constructing an inscribed square.
Answer:
a daddy
Step-by-step explanation:
simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)
Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?
Answer:
11 i think
Step-by-step explanation:
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step by Step Explanation:
Look at the units: miles per hour is miles/hour
If we multiply
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
please answer this, i am so confused
The bag of dog food would last for 21 days.
The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.
In order to determine the number of days in which the bag would be emptied, this equation can be used:
Number of days the dog food would last = number of cups in the cup / amount the dog eats each day
42 ÷ [tex]2\frac{1}{3}[/tex]
42 ÷ [tex]\frac{7}{3}[/tex]
42 x [tex]\frac{3}{7}[/tex] = 21 days
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how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4
HELPPPPPPPPPPP. please explain how u got the answer
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
Two of the dozen eggs in a carton
are cracked. About what percent of the
carton is cracked?
Answer:
17%
Step-by-step explanation:
2/12 or the eggs are cracked. That means 1/6 of the eggs are cracked.
1/6 approximately equals 0.167
So, it is approximately 16.7%, or if you round it up, 17%.
Answer:
16.67 %
Step-by-step explanation:
two of a dozen is 2/12 simplified is 1/6 and 1/6 in a percentage is 16.67%
Find a compatible dividend for the division problem.
2,394
Which of the following is an equation of the line In the graph? A.3x-y=4 B.3x+y=4 C.-3x-y=4 D.-3x+y=4m
9514 1404 393
Answer:
B. 3x+y=4
Step-by-step explanation:
The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...
3x +y = 4
Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = -4x - 3
O-4
O-3
03
04
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.
y = -4(0) -3 . . . . substitute x=0
y = 0 -3
y = -3 . . . . the "initial value"
when adding a postitive on the number line you move....
Answer:
When you add a positive number, you move to the right on the number line
Please Help! I will give you a lot of points! (6.3)
The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer
What is the average yearly salary of an architect?
What is the average yearly salary of a lawyer?
Let architect s income be x
Lawyers income be 2x-34AtQ
[tex]\\ \sf\longmapsto x+2x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x=249[/tex]
[tex]\\ \sf\longmapsto x=83[/tex]
[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]
Lawyers income=132thousandArchitect s income=83thousandWrite an integer to represent spending $50
The integer that represents spending $50 is -50
Write the expression using exponents. g⋅g⋅g⋅g⋅g
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x = 102°
Step-by-step explanation:
a straight line = 180°
180 - 78° = 102°
Answer:
x°+78°=180°[supplementry angle]
x°=180°-78°
x°=102°
answer
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Answer:
what is your question all I see is numbers and shapes
The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 134
centimeters, find its length.
Answer: We can set up the formula: 2L +2W = 110. We can also set up length as 2x+1 and width as x so plug this in: 2 (2x+1)+2x=110. Expanded to: 4x+2+2x=110. Rewritten as: 6x=108.
Step-by-step explanation:
(x+7)+3y simply I need help plsssss
Answer:
move 7
Step-by-step explanation:
x + 3 y + 7
If sin x=0.96, find tan x
Step-by-step explanation:
sin x= P/H
sin x = 0.96 = 96/100 = 24/25.
Let the ratio of the sides be x.
B²=H²-P²
B²=(25x)²-(24x)²
B²=625x²-576x²
B²=49x²
B=√49x²
B= 7x.
cos x = 7x/25x = 7/25.
therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .
hope this helps you.
2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)
The coordinates of the image point will be P''(7, 5).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the rightGiven is to translate P(4, 0) right by 3 units and up by 5 units.
Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)
Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)
Therefore, the coordinates of the image point will be P''(7, 5).
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PLEASE HELP look at this screenshot is it a, b, c, or d
Answer:
D.
Step-by-step explanation:
Determine if the following table represents a linear function. If so, what’s the rate of change?
The values in the table represent a linear function.
The correct option is; Yes; The rate of change = 3/2
What is a linear function?A linear function is a function forms a straight line when plotted on the coordinate plane.
The values in the table represent a linear function, where we get;
The first difference is constant
The subsequent x-values increase by the same value
The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant
The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3
The first difference is a constant, 3, therefore, the values in the table represent a linear function.
The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;
The rate of change = 3/2
The correct option is therefore; Yes, rate of change = 3/2
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