When two binomials are joined by the subtraction operation, we just need to combine similar terms. See the steps below.
1. Eliminate the parenthesis and make sure to distribute the negative symbol outside the second parenthesis to the terms inside the second parenthesis.
\(4x^2+6-2x+5\)2. Rearrange the terms according to the degree of their exponents.
\(4x^2-2x+6+5\)3. Combine similar terms. The only similar terms above are +6 and +5. When combined, the result is +11. Hence, the answer is:
\(4x^2-2x+11\)Answer:
4x² - 2x + 11
What is 90 percent of 35
Answer:
31.50
Step-by-step explanation:
All you have to do is multiply 35 by 90% or .90
35 x .90 = 31.5
Drag each tile to its equivalent measure, rounded to the nearest tenth.
Options: 19.8, 10.2, 22.7, 15.4
Measure Equivalent
4 in. _____ Cm
7 kg _____lb
6 gal _____L
65 ft _____ m
The correct matches are: 4 in. → 10.2 cm , 7 kg → 15.4 lb
6 gal → 22.7 L and 65 ft → 19.8 m.
What are conversions?Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.
For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.
Here are the conversions:
1 inch = 2.54 cm (approx.)
1 kg = 2.205 lb (approx.)
1 gal = 3.785 L (approx.)
1 ft = 0.3048 m (approx.)
Using these conversions, we can find the equivalent measures:
4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm
7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb
6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L
65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m
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The piecewise function represents the amount of taxes owed, f(x), as a function of the taxable income, x. Use the marginal tax rate chart or the piecewise function to answer the questions.
Tax Bracket Marginal Tax Rate
$0–$10,275 10%
$10,276–$41,175 12%
$41,176–$89,075 22%
$89,076–$170,050 24%
$170,051–$215,950 32%
$215,951–$539,900 35%
> $539,901 37%
A piecewise function f of x in seven pieces. The function is defined by part 1, which is 0 point 10 times x for x less than or equal to 10,275; part 2, which is 0 point 12 times x minus 205 point 50 for 10,276 is less than or equal to x which is less than or equal to 41,175; part 3 which is 0 point 22 times x minus 4,323 for 41,176 is less than or equal to x which is less than or equal to 89,075; part 4 which is 0 point 24 times x minus 6,105 point 50 for 89,076 is less than or equal to x which is less than or equal to 170,050; part 5 which is 0 point 32 times x minus 9,070 point 32 for 170,051 is less than or equal to x which is less than or equal to 215,950; part 6 which is 0 point 35 times x minus 26,187 point 50 for 215,951 is less than or equal to x which is less than or equal to 539,900; and part 7 which is 0 point 37 times x minus 36,985 point 67 for x is greater than or equal to 539,901.
Part A: Using the method of your choice, demonstrate how to calculate the amount of taxes owed on a taxable income of $31,000. Show all work. (4 points)
Part B: Using the taxes owed from part A, determine the effective tax rate. Show all work. (4 points)
Part C: Compare the piecewise function to the marginal tax rate chart. How is the marginal tax rate chart represented in the piecewise function? (2 points)
Answer:
Part A: $3,415.50
B: 11.34%
Step-by-step explanation:
Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50
Part B: For the effective tax rate, divide the amount in part A by the taxable income
Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.
To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.
Explanation:Part A:
To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:
f(x) = 0.12 * 31000 - 205.50 = $3,574.50
Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.
Part B:
To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:
Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%
Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.
Part C:
The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.
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It is January 2020. 3 IL in January 2020. SIB ine, a small manufacturer unhappy with its performance, (i) hires an independent qunt (and therefore, the agent's sales force). and (ii) gets rid of its own salary only sales force. All other contenting the same, how will these changes affect is in 2020 veres 20192 -will increase unit variable cost, and, (ii) will decrease total fixed cost both -will increase unit variable cost both -will decrease total fixed cost -No change in any of the conta -(i) will decrease unit variable cost, and, (ii) will increase total fixed cont
If SBI hires an independent agent and the agent's sales force after some unhappy performances, it will help him to increase the unit variable cost for the change deployed.
Also, At the same time, he gets rid of its own ' salary own ' sales force will decrease its total fixed cost.
Hence, will increase the unit variable cost and will decrease the total fix cost.
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"8% of a number is 20."
Answer: 250
Step-by-step explanation:
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Want Brainliest? Get this correct
Answer:
B
Step-by-step explanation:
We add 3 to the x before the expnent to shift left and then multiply by 2 to narrow
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
I just need help with the range domain is [-2,3)
Answer:
We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).
Step-by-step explanation:
QUESTION 1
C(11,10)=
11
10
does not exist
110
Answer:
10
Step-by-step explanation:
Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
Guided Practice
Find the slope of a line perpendicular to the graph of the equation.
y = –8
A.
undefined
B.
0
C.
1/8
Answer:
A.
undefined
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line.
Undefined Math.way
for what values of m does the graph of y 3x2 7x m have two x intercepts
The graph has a minimum point and is a parabola. Therefore, change the minimal value in the formula y = 3x2 + 7x + m. The value at the minimum point must be smaller than zero because the graph has two x-intercepts. The minimum point of the graph, which is a parabola, lies at x=-b/2a = -7/6.
What is Graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
The graph has a minimum point and is a parabola.
Therefore, change the minimal value in the formula y = 3x^2 + 7x + m.
The value at the minimum point must be smaller than zero because the graph has two x-intercepts.
The graph is a parabola, with x=-b/2a = -7/6 as the minimum.
3(49/36) – 49/6 + m < 0
49/12 – 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
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Find the number of ways of arranging the numbers 1,2,3,4,5,6,7, if no two even numbers can be adjacent, and no two odd numbers can be adjacent.
Answer:
24 ways
Step-by-step explanation:
1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.
2) For this case we need a two figure number. Since we have seven numbers.
Since there is no repetition, all the possibilities are:
\(7*6=42\)
3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:
13 15 17
24 26
31 35 37
42 46
51 53 57
62 66
71 73 75
18 non desirable results
The total arrangements minus the not possible combinations, will match the possible results:
\(42-18=24\)
3) Just for checking, we have here the allowed combinations:
12 14 16
21 23 25 27
32 34 36
41 43 45 47
52 54 56
61 63 65 67
72 74 76
A total of 24 possible ways.
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
9514 1404 393
Answer:
x = 142
Step-by-step explanation:
You want to find x such that ...
\(\sqrt{x+2} -15=-3\qquad\text{given}\\\\\sqrt{x+2} =12\qquad\text{add 15}\\\\x+2=144\qquad\text{square both sides}\\\\\boxed{x=142}\qquad\text{subtract 2 to get x by itself}\)
Answer:
a
Step-by-step explanation:
Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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I think it’s D. But I’m not sure
If it’s not can someone explain why?
Answer:
it is graph f
stay safe
hope it helps
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the square tiles has an edge of 3/4 ft. Show your work
A down payment of $195 is made on a television that costs $1300. What percent of the
cost is the down payment?
Answer:
15%
Step-by-step explanation:
Add 195 to 1300, which gives you, 1495.
Use the formula for percent change: Difference = % * original price.
So what is the difference between 1495 and 1300? It’s 195.
Now we have 195 as the difference.
Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.
Now we have the equation 195 = % * 1300
We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.
Therefore, 15% is the down payment. Hope this helps!
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
PLEASE HELP!
Find the x value.
Answer:
72
Step-by-step explanation:
every angle in a triangle adds up to 180
57 + 51 + x = 180
x = 72
Answer:
The answer to the question is:
x=72°
Step-by-step explanation:
The total angles of a triangle is 180°
x+51°+57°=180°
x+108°=180°
x=180°-108°
x=72°
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!
Answer: h = -(16t + 3)(t - 2)
h(0) = 6
h(1) = 19
h(2) = 0
Step-by-step explanation:
Factor the equation by finding two numbers whose
product = a×c and sum = b, then replace the b value with those two numbers and factor the equation.
h = -16t² + 29t + 6
a=-16 b=29 c=6 a×c = -96 b = 29
32 × -3 = 96 32 + (-3) = 29
h = -16t² + 32t -3t + 6
h = -16t(t - 2) -3(t - 2)
h = (-16t - 3) (t - 2)
h = -(16t + 3)(t - 2)
h(0) = -[16(0) + 3] [0 - 2]
= -(3)(-2)
= 6
h(1) = -[16(1) + 3] [1 - 2]
= -(19)(-1)
= 19
h(2) = -[16(2) + 3] [2 - 2]
= -(35)(0)
= 0
Find the slope of the line containing the pair of points.
(2, -9) and (12,6)
Answer:
slope = \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )
m = \(\frac{6-(-9)}{12-2}\) = \(\frac{6+9}{10}\) = \(\frac{15}{10}\) = \(\frac{3}{2}\)
constant of proportionality
Answer:
4.2
Step-by-step explanation:
Constant of proportionality = y/x = 8.4 / 2 = 4.2
PLEASE HELP!! I DON'T UNDERSTAND IT
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
what is the gradient of the line?
The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws