Answer:
Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
Step-by-step explanation:
We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.
[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]
Subtract 2w on both sides
[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]
Subtract 5x on both sides
[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]
Taking w common on left hand side
[tex]w(-3x-2)=1-5x\\[/tex]
Divide both sides by -3x-2
[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]
So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
write the equation of a line parallel to the line with the equation
a. 3x- 6y=12 b. 5x-y=10
Answer:
[tex]y=\frac{1}{2}x+6[/tex] and [tex]y=5x+8[/tex]
Step-by-step explanation:
The big thing to remember with this is that parallel lines have the same slopes. We can isolate the y-variable in both of these to get the slope-intercept form, which just makes it easier to see the slope.
a. 3x-6y=12
[tex]-6y=-3x+12\\y=\frac{1}{2}x-2\\[/tex]
Now that we know the slope, we can have any y-intercept except for the original one, they just need to have the same slope. So an equation that could work is [tex]y=\frac{1}{2}x+6[/tex].
b. 5x-y=10
This equation can be solved in the exact same way.
[tex]-y=-5x+10\\y=5x-10[/tex]
Parallel line: [tex]y=5x+8[/tex]
Again, it does not matter what the y-intercept is, they just can't have the same one. The slopes have to be the same.
Hope this helps!
Lian's work is shown below. Steps Lian's Work Step 1 s + 40 = 68 Step 2 s + 40 minus 40 = 68 minus 40 Step 3 s = 28 In which step, if any, did Lian first make a mistake in her work? step 1 step 2 step 3 no mistake
Answer:
No mistakeStep-by-step explanation:
Given the equation solved by Lian expressed as;
s + 40 = 68
Lian is to find the value of s from the equation, to do that you will follow the steps below;
Step 1: Substract 40 from both sides of the equation;
s + 40 - 40 = 68 - 40
Step 2: Solve for s;
s + 40 - 40 = 68 - 40
s + 0 = 68 - 40
s = 28
Based on the calculation, we can say that Lian made no mistake when solving
Answer:
D, no mistake.
Step-by-step explanation:
1.) 44247
44a4b
11a2b
Answer:
what?
Step-by-step explanation:
Please help!!!!
Which equation is represented by the graph below?
a.) y = e^x +5
b.) y = e^x +4
c.) y = ln x + 4
d.) y = ln x + 5
Answer:
B
Step-by-step explanation:
Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulatedsnow. During the last snow storm, the snow accumulated at (0.8) inch/hour. If the snow54continues at this rate for hours, how much snow will accumulate?
Answer:
43 inches
Step-by-step explanation:
Accumulation rate per hour = 0.8 inch / hour
If the snow continues at that rate for 54 hours ;
To obtain the amount of snow that will accumulate, we multiply the Accumulation rate per hour by the number of hours given ;
Accumulation rate per hour * number of hours
= 0.8 inch/hour * 54 hours
= 43.2 inches
= 43 inches (nearest whole number)
Tonisha is purchasing a number of stamps. She wants some idea of how many she can buy.
On a coordinate plane, a line goes through (1, 2) and (1.75, 4).
Using the equivalent ratios graph, how many stamps can she buy with $4.50?
stamps
Answer:
9 stamp
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
Find the value of each angle.
Answer:
1)112°
2)68°
3)90°
4)90°
5)22°
6)158°
Step-by-step explanation:
Answer:
1. 112º
2. 68º
3. 90º
4. 90º
5. 22º
6. 158º
Step-by-step explanation:
4 - vertical angle to 90º
3 - supplementary to 90º, 180º - 90º = 90º
2 - vertical angle to 68º
1 - supplementary to 68º
5 - all angles in a triangle add up to 180, 180º - 90º - 68º = 22º
6 - supplementary to 22º
After paying $4.76 for a sandwich, Michelle has $16.88. How much money did she start with?
Answer:
$21.64
Step-by-step explanation:
original amount = spent + remaining
original amount = 4.76 + 16.88
= $21.64
Answer:
Michelle started with $21.64.
Step-by-step explanation:
To solve this problem, we simply need to add he current price, or $16.88, to the amount she spent, or $4.76.
16.88 + 4.76 = $21.64
Therefore, Michelle started with $21.64.
Hope this helps! :D
help me answer this q1
Answer: B is the answer yup B
At jonathan's school, there are 30 seventh graders participating in the school play. of the students in the seventh grade, 60% are not participating in the school play. how many seventh graders at jonathan's school are not participating in the school play? a. 75 b. 60 c. 45 d. 20
Answer:
A) 75 students
Step-by-step explanation:
30 students = 40%
so 100% = 75
Percentages are always out of 80
Answer:
False, percentages are out of 100
please help me out!! it’s either option 1, option 2, option 3, or option 4
Answer:
It's option 2
Step-by-step explanation:
parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2
Answer:
Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.
Write the numbers in decreasing order
1.3˙, -8/5, /13, pi, -0.7
The perimeter of a rectangular pool is 336 m.
If the width of the pool is 73 m, what is its length?
Length of the pool:
Answer:
The length of the pool is 462 m.
Step-by-step explanation:
The length of the pool is 462 m. We know this is the answer because, if we plug in the known width and known perimeter into the equation for the perimeter of a rectangle, we get:
73 * 462 = 336
Therefore, the length of the pool is 462 m.
Help me with my work
Answer: y = 5/4x + 2
Step-by-step explanation:
WILL MARL BRAINLIEST!!!!!!!
Answer:
A
Step-by-step explanation:
Select ALL the other ways to name ST.
SQ
SP
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S
T
R
line m
TS
line n
R
The space-x rocket had traveled 8,918 meters in 7 seconds after its launch. How fast was the rocket traveling in meters per second?
m
A) 136°
C) 145°
B) 91°
D) 140°
Answer:
136° is right answer-----------------------Identify the ordered pair and quadrant (or axis) for each point on the graph.
Answer:
Top right: quadrant 1
Top left: quadrant 2
Bottom left: quadrant 3
Bottom right: quadrant 4
The first number of an ordered pair is the x axis, and the second is the y axis
A: 10,3 quadrant 4
B:8, 9 quadrant 2
c: 3,2 Q 3
D: 4,0 Q4
E:4,7 Q3
F: 8,7 Q1
G: 0,7 Q4
H: 1,5 Q1
Hurry please
What are the slope and y-intercept of the linear function
graphed to the left?
O slope: -2; y-intercept: 2
O slope: -1/2 y-intercept: 1
O slope: 1/2y-intercept: 2
O slope:2, y-intercept: 1
Answer:
B. slope: -1/2 , y-intercept: 1
rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.
NEED HELP ASAP!
For every strike IBMissem throws in bowling he throws an average of 3 gutter balls.
If he throws 9 strikes after bowling all afternoon, how many gutter balls would he
have thrown?
Answer:
27
Step-by-step explanation:
PLEASE HELP ME! EASY QUESTION PLEQSE EXPLAIN
Answer:
C
Step-by-step explanation:
Here, we want to interpret what is meant by m(10) = k
Originally M(n) represents the fee in dollars for an nth drive
So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars
Correct option is C
what is the slope of (2,3) and (6,4)
A Ferris wheel at an amusement park is modeled by (x – 70)2 + (y – 77)2 = 5,184, where the measurements are in feet. A slingshot attraction is modeled by y = –4x2 + 40x + 50. Which attraction reaches a greater height, and what does it represent in terms of the context?
A. The slingshot reaches a greater height at 50 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 184 feet, which is the highest point on the circle.
C. The Ferris wheel reaches a greater height at 149 feet, which is the highest point on the circle.
D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.
Answer:
D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.
Step-by-step explanation:
First let's examine the given equations
[tex]\displaystyle \rm\\(x -70)^2 + (y-77)^2 = 5184 ............. (1)\\y = -4x^2 + 40x + 50 ............... (2)[/tex]
Equation (1) is of the form of a standard equation for a circle
[tex]\displaystyle \rm (x-a)^2 + y-b)^2 = r^2\\\\[/tex]
where (a, b) is the center of the circle and r is the radius
Equation (2) is the standard equation of a parabola
y = ax² + bx + c where a, b and c are constant
So we know that the Ferris wheel motion is circular while the slingshot motion is parabolic
Let's compute the highest point at which the Ferris wheel reaches.
Given,
[tex]\displaystyle (x-70)^2 + (y-77)^2 = 5184[/tex]
We can see that r² = 5182 by comparing it to the circle equation[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)}[/tex]
Therefore r = √5184 = 72. The diameter = 144 which is the highest point vertically from the center of the circle
The highest point on the circle = 144 + 5= 149 m since there is a 5' gap between the Ferris wheel and the ground at the lowest point so that has to be taken into account
For the parabola the vertex is the highest point and its x-coordinate given by [tex]\displaystyle \dfrac{-b}{2a}[/tex] in the standard equation for a parabola
Comparing the given equation with the standard equation we see that a = -4, b = 40 and c= 50
Therefore [tex]x_v[/tex] the x-coordinate of the vertex:
[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)} = 5[/tex]
The y coordinate of the vertex can be found by plugging in this value into the parabolic equation
[tex]\displaystyle y_v=-4\cdot \:5^2+40\cdot \:5+50 = 150[/tex]
This being the vertical coordinate of vertex of the parabola, the highest point that the slingshot reaches is 150'
So correct answer is D
HELP PLEASE !!!!!!!! ITS VERY URGENT!!!!!
Answer:
M TO L
Step-by-step explanation:
Its right there.
Answer: L
Step-by-step explanation:
21.18 - 17.92 rounded to the nearest whole number
Answer:
3
Step-by-step explanation:
21.18-17.92=3.26
Rounded its 3
I WILL GIVE BRAINIEST!! What is 5x+2y=24 in slope intercept form?
Answer:
I'm not sure what you mean but I will solve for everything
2y = 24 - 5x
y = -(5/2)x + 12
y int. = 12
slope is -5/2
x int = 24/5
I get it now
slope int. form is y = mx + b where m is -5/2 and b is 12
The scale of a map is 3 ft = 84
miles
Map: 4.5 ft
Actual miles:
The actual miles calculated for the given scale of a map is 126 miles.
What is referred as the unitary method?It is a technique that determines the value of a single unit through subtracting the significance of multiple units from the value of a single unit.
The unitary method provides the value of many items, and we must either figure out the amount of more or lesser items.To do so, we must first figure out the worth of one item by division and afterwards multiply the value of more and fewer items.Now, the given question;
The scale of a map is 3 ft = 84 miles
Using unitary method for solving this.
Convert the value for 1 foot.
1 foot = 84/3 miles = 28 miles.
Now, calculate the value for the map of 4.5 ft.
4.5 feet = 28×4.5 miles
4.5 feet = 126 miles
Therefore, the value for map of 4.5 feet is estimated as 126 miles.
To know more about unitary method, here
brainly.com/question/23423168
#SPJ9
x-5=√x + 1
solve and check for extraneous solutions