Answer:
(f-g)(x)= f(x) - g(x)
= x^2 + 8x - ( 3x - 5)
= x^2 + 8x - 3x + 5
= x^2 + 5x + 5
(f-g)(x)= x^2 + 5x + 5
The required expression of (f-g)(x) = x^2+5x+5.
f(x) = X^2+8x; g(x) = 3x - 5
(f-g)(x) to determine.
It is defined as the number of composition, constitute the whole.
Here, (f-g)(x)= f(x)-g(x)
= x^2+8x-3x+5
= x^2 + 5x + 5
Thus, the required expression of (f-g)(x) = x^2+5x+5.
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**WILL GIVE BRAINLIEST! PLS HELP :)**
Answer:
a = 16
b = 10
c = 19
d = 3
Step-by-step explanation:
For a, we know that 60 is 12+a+a+a, and to find what a is, we subtract 12 from 60, so that 48=3a, so 48 is a times 3. dividing 48 by 3 gives a=16
For b, we know that 60 is 4(b+5), dividing both sides by 4, 15=b+5. Subtracting 5 from both sides, b=10
For c, we know that a+b+c=3(b+5), or 16+10+c=45, subtracting 26 from each side, c=19
For d, we know that 3c+d=60, or (19*3)+d=60. simplifying, 57+d=60. subtraction 57 from each side gives d=3
Erercise #7: For each of the following, write an equivalent polynomial in simplest standard form.
(a) 6x2 + 2x - 3-x +4.7 - 1
(6) 6.x2 + 2x-3-(x2 + 4x - 1)
Answer:
a. 6x^2+x+0.7
b. 5x^2-2x-2
Step-by-step explanation:
a. 6x^2+2x-3-x+4.7-1
Simplest form is when all the terms are ordered by power and like terms are combined. I'm assuming the first term is 6x^2 because 6x2 seems a bit odd to me. When you combine like terms and reorder everything, you get
6x^2+x+0.7
b. 6x^2+2x-3-x^2-4x+1
The first thing I did was distribute the negative. Next, you just repeat the same steps. Combine like terms and reorder. The final result is:
5x^2-2x-2
-50, 15, -4.5, …; 5th term
Answer:
-0.405
Step-by-step explanation:
-50÷15= -10/3
keep doing it and 5th term will be -.405
Reflect (5,-4) over the y-axis. Then translate the result to the right 2 units. What are the coordinates of the final point?
Answer:
(-3,-4)
Step-by-step explanation:
When reflecting across the y-axis, you will mirror the coordinates across the y-axis. This means (5,-4) will turn into (-5,-4) because mirroring it across the y-axis will only change the x coordinate. Then, to translate it to the right, you move to the right two times to give you (-3,-4). The y-coordinate will never change in this situation because you are only reflecting and moving left and right.
50 points pls help 50 50 50 50 50 50 pht
Answer:
1134.08 m²
Step-by-step explanation:
To calculate the area of grass, subtract the area of the polygon from the area of the large green rectangle.
area of a triangle = 1/2 x base x height
area of a rectangle = width x length
area of large (green) rectangle = 40 x 36 = 1440 m²
area of regular 8-sided polygon = 4 triangles + 2 small rectangles + large rectangle
= 4(1/2 x 5.6 x 5.6) + 2(8 x 5.6) + (8 x 19.2) = 305.92 m²
Therefore, area of grass = 1440 - 305.92 = 1134.08 m²
Answer:
19.2
Step-by-step explanation:
its 19.2 ik because if you atdd 19.2 to 0 its 19.2
answer please 54 points
Answer:
1 hour
Step-by-step explanation:
Because if you swim for 1 hour each morning that adds up to 4 hours and if you swim two hours in the evening then it all adds up to 12
Two parallel lines are cut by a transversal,
3/4
5/6
7/8
If the measure of 2 is 75', what is the measure of 7?
Answer:
also 75°
Step-by-step explanation:
the angles across each other at a crossing point of 2 lines must be equal.
so, 2 = 3.
and the angles at the crossing point with a parallel line are simply a "mirror" or rather a copy of the angles at the crossing point with the first line.
so, 2 = 3 = 6 = 7
and 1 = 4 = 5 = 8
The value of the measure of 7 is,
⇒ ∠7 = 75°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Two parallel lines are cut by a transversal.
And, the measure of 2 is 75°.
Here, Angle 2 and 3 are vertically opposite angle.
Hence, angle 2 and 3 are equal.
And, Angle 3 and 7 are alternate angle.
Hence, We get;
⇒ ∠3 = ∠7
So, ∠7 = 180°
Thus, The value of the measure of 7 is,
⇒ ∠7 = 75°
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Chet's watch is guaranteed for 90 days. If it
stops working six weeks after he bought it is
it still under warranty?
Answer:
I would say yes
Step-by-step explanation:
6*7 =42
Answer:
Yes.
Step-by-step explanation:
7 days in a week. So, 7x6= 42
So yes it is still under warranty.
What’s the answer !! Thanks
Answer:
C
Step-by-step explanation:
sorry if i might get wrong...
please answer please please
Answer:
3rd one is the correct one
Step-by-step explanation:
yupyup
Hamad sells fruits in his shop. One morning, he got 2 boxes of apples from 2 different
suppliers.
The label on the first box says that it contains 50 apples with a total weight of 6300 g.
The label on the second box says that it contains 40 apples, and has a mean weight
of an apple of 144 g.
Hamad put all the apples from both boxes in one big container.
Find the mean weight of an apple in the big container.
The weight of all 40 apples in the second box is : 144 x 40 = 5760 (g)
The total weight of all 90 apples in both boxes : 5760 + 6300 = 12060 (g)
To find the mean weight of an apple in the big container, we take the total weight of both boxes (12060) divided by the total amount of quantities (apples in both boxes)
So, the mean weight of an apple in the big container is 12060 : 90 = 134(g)
Find a formula for the n th term, T n , of the following arithmetic sequence: − 10 , − 22 , − 34 , − 46 ,. . . Hence, or otherwise, find the value of the 40th term, T 40
Answer:
T(40) = -478
Step-by-step explanation:
The first term is -10, that means a = -10
The difference between to first and second term is -12.
Therefore, d = -12.
We may set up the A.S. equation now:
T(n) = a + (n-1)d = -10 + (n-1)(-12)
Now plug in n = 40:
T(40) = -10 + (40-1)(-12) = -478
moreee answers please
9h
9(12)= 108 dollars
Find the value of h(-66) for the function below h(-66)=-38x-141
A. -1.97
B. 2,508
C. -2,649
D. 2,367
E. It costs $1.50 per hour to dry clothes at a laundromat. The rate per hour is $1.50 (slope) and the beginning point is 0 (y-intercept). Write a linear equation in y = mx + b form to represent the total cost.
Answer:
y=1.5x
b is the y intercept but it is 0 so no need to add it. y is the result
A cake shop offers circular cakes with diameters of 8 in., 12 in., and 15 in. Identify the area of each cake
rounded to the nearest tenth.
Answer: Your answer is B
Step-by-step explanation:
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
CircleA circle is simply a closed 2-dimensional curved shape with no edges or corners.
Area of a circle is expressed as;
A = πr²
Where r is the radius of the circle and π is pi ( π = 3.14159 ).
For cake A;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inArea of A = ?From the previous expression of area of a circle
Area of A = πr²
Area of A = 3.14159 × (4in)²
Area of A = 3.14159 × 16in²
Area of A = 50.23in²
Hence, the area of the first cake is 50.23in².
For cake B;
Diameter d = 12inRadius r = d/2 = 12in/2 = 6inArea of B = ?From the previous expression of area of a circle
Area of B = πr²
Area of B = 3.14159 × (6in)²
Area of B = 3.14159 × 36in²
Area of B = 113.1in²
Hence, the area of the second cake is 113.1in².
For cake C;
Diameter d = 15inRadius r = d/2 = 15in/2 = 7.5inArea of C = ?From the previous expression of area of a circle
Area of C = πr²
Area of C = 3.14159 × (7.5in)²
Area of C = 3.14159 × 56.25in²
Area of C = 176.7in²
Hence, the area of the third cake is 176.7in².
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
Hence;
Area of the first cake is 50.23in².
Area of the second cake is 113.1in².
Area of the third cake is 176.7in².
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Each side of a sandbox is 4 feet long. It will cost $1.87 per square foot to replace the sand in the sandbox. What would be the total cost to replace the sand?
Answer:
$29.92
Step-by-step explanation:
area = 16
16 x 1.87 = total cost
What must be true for lines a and b to be parallel lines? Select two options.
A) mAngle1 = (4 x minus 10) degrees
B) mAngle2 = 58Degrees
C) x = 20
D) (3 x minus 1) degrees equals = (4 x minus 10) degrees
E) Angle1 = 58Degrees
Can someone help with question 1 please
Answer: B
Step-by-step explanation:
The answer is B because of the equal sign in the middle meaning that both the sin and cos are equal
please help me, with an explanation!!
Answer:
[tex]53.13\°[/tex]
Step-by-step explanation:
Since the ratio of XD and XB is 3:2, call the two segments 3a and 2a.
Since [tex]3a +2a = 20[/tex] it's easy to see that a = 4, and you can look just at one of the trangles ABX or BDX, noticing that angle ABC is twice the angles ABX (or DBX). At that point with a calculator you calculate the measure of either, which is [tex]tan^-^1 \frac6{12} \approx 26.56\°[/tex], and double the angle will give the measure you need, which is [tex]53.13\°[/tex]
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74. 90 to buy a bicycle and a helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the helmet, h? 0. 3 (74. 90 h) = 85 0. 3 (85 h) = 74. 90 0. 7 (74. 90 h) = 85 0. 7 (85 h) = 74. 90.
Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then
[tex]70\%Helmet + 70\%Bicycle = \$74.90\\\\0.70 h + 0.70B = 74.90[/tex]
Taking 0.7 as the common,
[tex]0.7(h+B)=74.90[/tex]
As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,
[tex]0.7(h+85)=74.90[/tex]
Hence, the equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
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Answer:
Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.
What is Percentage?
A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then
Taking 0.7 as the common,
As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,
Hence, the equation can be used to find the regular price of the helmet, h is 0.7(h+85)=74.90.
QUADRUPLE A NUMBER BY 4 DECREASED BY 6
Answer:
A
Step-by-step explanation:
4x-6
What is a good Estimate 1537
Answer:
if you meant 15 divided by 37 it is 2 R 7.
15 goes into 37 2 times, so write a 2.
30 - 37 = 7.
notify me if you meant anything else!
hope it helps!
You have recently purchased a new truck for $20,000, by arranging financing for the next five years. You are curious to know what your new truck will be worth when the loan is completely paid off. Assume that the value depreciates at a constant rate of 15%.
What is the initial value?
Answer:
the initial value would be 23,000
Step-by-step explanation:
because 20,000 + 15%
is 23,000
I NEED HELP ASAP LIKE NOW
Answer:
last point
Step-by-step explanation:
because 2.25 is equal to 2.25 when you do 1.5 times 1.5
Determine whether it is possible to form a triangle with the given side lengths.
AB= 4 cm, BC= 6 cm, AC= 12 cm
Answer:
No, not possibleStep-by-step explanation:
According to triangle inequality, any side is less than the sum of the other two:
AB + BC > ACWe see contradiction with above when values substituted:
4 + 6 = 10 < 12It means we can't form a triangle with given sides
Leanne works at a green house. She needs too plant a totals of 32 bulbs. Two types of bulbs are available. She is asked to plant three times as many crocus bulb as tulip bulbs. How many of each does she need to plant
Answer:
You want to start by making 2 equations, first to show the sum and another to show the relationship between the two.
x + y = 32
3y = x
Now you want to substitute what you know:
y + (3y) = 32
*now solve
4y = 32
y = 32/4
y = 8
And now you want to plug in what you know into the first equation to solve for x
x + y = 32
x + 8 = 32
x = 32 - 8
x = 24
Now you know:
x = 24
y = 8
There are 24 crocus bulbs and 8 tulip bulbs
Step-by-step explanation:
IM SAMRT
Answer:
crocus bulbs-24
Tulip bulbs-8
Step-by-step explanation:
Total is 32 bulbs so I found a number I can multiply by 3 which is 8 and it gave me 24 so if I add 24+8= I will get 32.
Maya is saving money each week. Maya's savings are represented by the equation y=7.5x+3y=7.5x+3. Find the rate of change.
Answer:
7.5
Step-by-step explanation:
7.5 is the coefficient of x
Find the equation of the line that contains the points (3,-2)
and (3,2).
A y = 2
By
B y = -2
C x= 3
D x = 0
Answer:
How do you find an equation of a line containing the point (3, 2), and parallel to the line y - 2 = (2/3)x? First, we must find the slope of the equation in the problem by transforming the equation to the slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b Where m is the slope and b is the y-intercept value.
Step-by-step explanation:
the top box has a length of 6 yards
Answer:
42 yd²
Step-by-step explanation:
Area of a rectangle = width x length
lateral surface area is the area of the sides only
So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).
area of floor and ceiling = 2(3.5 x 6) = 42 yd²
Or, we can calculate the total surface area and lateral surface area, then find the difference:
total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²
lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²
difference = 121.8 - 79.8 = 42 yd²
