Answer:
[tex]\displaystyle (f - g)(x) = -x^2 + 2x + 8[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = 2x + 1 \text{ and } g(x) = x^2 - 7[/tex]
And we want to find:
[tex]\displaystyle (f- g)(x)[/tex]
Recall that:
[tex]\displaystyle (f - g)(x) = f(x) - g(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned}(f-g)(x) &= f(x) - g(x) \\ \\ &= (2x + 1) - (x^2 - 7) \\ \\ &= (2x +1 )+ (-x^2 + 7) \\ \\ &= -x^2 +2x + 8\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle (f - g)(x) = -x^2 + 2x + 8[/tex]
Answer:
[tex]→(f - g)(x) \\ = f(x) - g(x) \\ = (2x + 1) - ( {x}^{2} - 7) \\ = 2x + 1 - {x}^{2} + 7 \\ = \boxed{ - {x}^{2} + 2x + 8}✓[/tex]
-x²+2x+8 is the right answer.40 POINTS (2^8 * 3^-5 * 6^0)^-2 * (3^-2/2^3)^4 * 2^28
Answer:
This is an odd question, but plugging it into a calculator gets you 9.
I’m stuck on this question if someone could help me I would highly appreciate:)
Answer:
CA=20
SEE THE IMAGE FOR SOLUTION
pls help help help please help
Answer:
z
Step-by-step explanation:
in order to buy a $38 pair of shoes, you have to borrow $16 from your friend. How much money did you start with
A-$22
B$22
C$54
D-$54
Please Help
Answer:
22 dollars
Step-by-step explanation:
38 - 16 = 22
if they cost 38 subtract the amount you borrowed(16) and you get what you started with(22)
Answer:
B 22
Step-by-step explanation:
You'll put x since you don't know how much the person started with then you do plus 16.
x+16=38
Subtract 16 both sides.
x=22
The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance. If he correctly rounded to the nearest hundred
9514 1404 393
Answer:
4983
Step-by-step explanation:
Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.
Need Help!!!!!!!!!!!!!! Calculate the area of this figure. Round your answer to the nearest tenth.
[tex]\text{Area}=\dfrac{(\text{a}+\text{b})\cdot\text{h}}{2}\\\\\text{a}=10 \ \text{ft}+6 \ \text{ft}=16 \ \text{ft}\\\\\text{b}=10 \ \text{ft}\\\\\text{h}=8 \ \text{ft}\\\\\text{Area}=\dfrac{(16+10)\cdot8}{2}=\dfrac{26\cdot8}{2}=26\cdot4=\boxed{104 \ \text{ft}^2}[/tex]
write a simplified expression
the 3 children in a family each paid $5 to enter a country fair , and then each child plays games at $1.50 per game. what expression represents the total amount in dollars the children spent all together
Answer:
$4.50
Step-by-step explanation:
1.5 x 3 = 4.50 Good job
The measure of angle 8 is
degrees
I
The measure of angle 2 is
degrees
The sum of angles 6 and 7 is
degrees
The sum of angles 3 and 5 is
degrees
Answer:
Angle 8=115 degrees
Angle 2= 65 degrees
Angle 6 + angle 7 = 65+65 = 130 degrees
Angle 3 + angle 5 = 180 degrees
Step-by-step explanation:
I NEED HELP ASP PLZ!!
Answer:
26 = c*2
2c = 26
Which polynomial can be factored using the binomial theorem?
x2 + 20x + 400
x2 + 45x + 225
x3 – 18x2 + 108x - 36
x3 + 21x2 + 147x + 343
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.
Someone answer this please
Answer:
[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]
x/3 is the right answer.It this pattern a net for the three-dimensional figure?
Answer:
yes it is because the second triangle is the base and the other three triangles are the sides of the three dimensional shape
What is -1 7/8 + -2 1/4? Please explain why and a step by step :).
9514 1404 393
Answer:
-4 1/8
Step-by-step explanation:
Many people find it easier to factor out -1, then do the addition. The fractions need a common denominator before they can be added. A suitable denominator that is a multiple of both 4 and 8 is 8.
The fraction 1/4 = (1/4)(2/2) = (1·2)/(4·2) = 2/8.
__
So, the problem can be rewritten as ...
-(1 7/8 +2 2/8)
= -((1+2) +(7/8 +2/8))
= -(3 +9/8)
The fraction 9/8 is an improper fraction equal to 8/8 +1/8 = 1 1/8. Then the sum is ...
-(3 +1 1/8) = -4 1/8
I just need question c
Answer:
2060.63 m (2061 to the nearest metre).
Step-by-step explanation:
4065^2 = 3504^2 + x^2 where x is the horizontal change.
x^2 = 4065^2 - 3504^2
x^2 = 4246209
x = √(4246209)
= 2060.63 m.
please help!!!!!!!!!
Answer:
110
Step-by-step explanation:
First, find the perimeter of 1 fence.
55/2 or [tex]27\frac{1}{2}[/tex]
Multiply by the number of fences (4)
110
I hope this helps!
–5(–11)=?????????? please help me and answer it
Answer:
55
Step-by-step explanation:
-5 (- 11)
= 55
Answer:55
Step-by-step explanation:
A person-to-person payment would best be used in which of these situations?
a. To give a donation to someone soliciting contributions outside the grocery store
b. To repay your uncle who covered the cost of your first semester textbooks
c. To buy some school supplies and baseball equipment while shopping online
d. To give a tip to the waitress at a diner
Answer:
B
Step-by-step explanation:
The correct answer is B. A person-to-person payment would best be used to repay my uncle who covered the cost of my first semester textbooks.
P2P payments are forms of economic interaction through mobile applications, in which people, almost always in person, decide to exchange funds among themselves using these applications.
In this way, a return of money between two parties with a family closeness is the perfect example in which the use of this payment method would be used.
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9 Write three fractions that are equivalent to
30.2% using denominators of 1,000, 100,
and 10.
Answer:
[tex]\frac{3.02}{10}, \frac{30.2}{100}, \frac{302}{1000}[/tex]
Step-by-step explanation:
Each of those fractions equal 0.302 which if multiplied by 100 equals the percentage that you're looking for
In AEFG, the measure of ZG=90°, GF = 12, FE = 37, and EG = 35. What ratio
represents the sine of ZF?
9514 1404 393
Answer:
35/37
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(F) = EG/FE
sin(F) = 35/37
Solve P = 2W + 2L for W.
W =
(Answer quickly)
Answer:
W = 0.5P - L
Step-by-step explanation:
P = 2W + 2L
P - 2L = 2W
0.5P - L = W
W = 0.5P - L
one half to the eight power in fraction form
Answer:
1/16
Step-by-step explanation:
one half raised to the power of to eight = one sixteen
Please I need help! I will give brainliest to whoever answers also. Thank you!
Answer:
The set U includes all positive integers from 1 to 20.
a)
x is subset U and 14 < x ≤ 23, then x is:
x = {15, 16, 17, 18, 19, 20}b)
x is subset U and includes multiples of 4, so x is:
x = {4, 8, 12, 16, 20}A corn refining company produces corn gluten
cattle feed at a variable cost of $82 per ton. If fixed costs are $120,000 per month and the feed sells for $134 per ton, how many tons must be sold each month for the company to have a monthly profit of $560,000?
With explaining pleaseee:)
The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month
Let x represent the amount of tons sold each month
Hence,
560,000=134x-(82x+120,000)
Remove the bracket
560,000=134x-82x-120,000
560,000=52x-120,000
52x=560,000+120,000
52x=680,000
Divide both side by 52
x=680,000/52
x=13,076.923 tons per month
Inconclusion The amount of tons that must be sold each month for the company to have a monthly profit is 13,076.923 tons per month.
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9. Which type of angle pairs are LSM and 2
10. Which angle forms a vertical pair with 1?
[tex] \large \mathfrak{Answer : }[/tex]
9. Angle LSM and Angle 2 are pair of vertical opposite angles which are equal.
10. Angle forming vertical pair with Angle 1 is Angle LSO (Angle 3).
What is the value of x4y, when x = 16 and y = 2?
1/32
2
2 2/3
4
1/32
Step-by-step explanation:
I am not sure about it .
The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
[tex]\frac{1}{2} = \frac{x}{540}[/tex]
Cross multiply
[tex]2x = 540(1)[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]
Therefore, the number of qualified teachers is 270.
Learn more about ratio here:
https://brainly.com/question/21768124
Please help me on my hw
Answer:
first answer is 21 and second answer is 1
Step-by-step explanation:
here the answer is yes
Answer:
Your questions have been solved
data
a
Based on the histogram above, what is the frequency of the class containing the value 14
Answer:
The frequency of the class containing the value [tex]\[14\][/tex] is [tex]\[3\][/tex].
Step-by-step explanation:
Based on the histogram given the frequency from[tex]\[13\][/tex] to [tex]\[19\][/tex] is [tex]\[3\][/tex].
Thus, frequency of the class containing the value [tex]\[14\][/tex] is [tex]\[3\][/tex].
Lean more about histogram-
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A number increased by 10 is 32. How would I write that as an equation?
Answer:
4.
Step-by-step explanation:
Remember that “of” means multiplication, so from your question we infer the following equation:
(1/2)x + 10 = 12
First, subtract 10 from both sides:
(1/2)x = 2
Multiply both sides by 2 to eliminate the fraction:
x = 4
Now substitute for x in the original equation to prove this:
(1/2)x + 10 = 12
x = 4
(1/2)4 + 10 = 12
4/2 + 10 = 12
2 + 10 = 12
12 = 12
So the number, x, is 4.
it is an example of your question.
please mark me brainliestNolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.
To solve this problem form the system of equations first, then solve them to find the values of the variables.
Nolan bought 2 apples and 10 bananas.
It's given that,
Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.Let the number of bananas he bought = y
And the number of apples = x
Therefore, cost of the apples =$2x
And the cost of bananas = $0.40y
Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)
Equation representing the total cost of fruits will be,
(2x + 0.40y) = 8
10(2x + 0.40y) = 10(8)
20x + 4y = 80
5x + y = 20 --------(1)
If he bought 5 times as many bananas as apples,
y = 5x ------(2)
Substitute the value of y from equation (2) to equation (1),
5x + 5x = 20
10x = 20
x = 2
Substitute the value of 'x' in equation (2)
y = 5(2)
y = 10
Therefore, Nolan bought 2 apples and 10 bananas.
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