Answer:
Solution given:
f(x)=2x²-5
g(x)=3x+3
now
(f-g) (x)=?
we have
(f-g)(x)=f(x)-g(x)
=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8Answer:
[tex]2x^{2} - 3x - 8[/tex]
Step-by-step explanation:
Step 1: Define what (f-g)(x) means
(f-g)(x) means that we have two different functions, f(x) and g(x). (f-g)(x) is a shorter way of writing f(x) - g(x). Therefore you just plug in the equations and combine like terms.
Step 2: Find (f-g)(x)
[tex]f(x) = 2x^{2} - 5[/tex]
[tex]g(x) = 3x + 3[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]
[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]
Answer: [tex]2x^{2} - 3x - 8[/tex]
What is the radius and diameter of the following circle? 5.1 cm
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
HELP ASAP ILL GIVE BRAINLIST
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
t/f Elimination will give you an exact answer to a system of equations.
Answer:
TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.
FALSE Elimination will give you an exact answer to a system of equations.
Step-by-step explanation:
Weird, I thought I already answer this xD
solve for the variable. *show your work*
Step-by-step explanation: Notice that we have a 30° angle and we're given that the side opposite the 30° angle has a length of h and the side adjacent to the 30° angle has a length of 18.
Remember than [tex]tan =[/tex] [tex]\frac{opp}{adj}[/tex] so we can setup the equation tan 30° = h/18.
Solving for h, we multiply both sides of the
equation by 18 and we have (18)(tan 30°) = h.
From here, we enter this into our calculator to get 10.3923 or 10.4.
Instead of using trigonometry here, we could have also noticed that this is a special right triangle, a 30° - 60° - 90° triangle, which means that the long leg is √3 times the length of the short leg, so we could have setup an equation to find the value of h. Either way should be acceptable.
15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.
A horizontal shift a units to the right.
A vertical shift a units downward.
A horizontal shift a units to the left.
A vertical compression by a factor of 1/a.
Answer:
A horizontal shift a units to the right.
Step-by-step explanation:
f(x) =x, is a line with the the x-intercept at (0,0)
g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
Please help me answer this question:
(D 3, 3, 5, 5, 6, 7, 8, 9, 11
Answer:
According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.
Step-by-step explanation:
To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.
- The box geometric figure with the vertical line contained within represents the average of the numbers presented.
* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.
Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).
The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.
*I hope this helps.
Solve the equation by completing the square.
The mean length of a group of fish is 14.2 inches. A fish that is 41 inches long
joins the group. How does this fish's length affect the mean?
A. The new mean length will be less than 14.2 inches.
B. The new mean length will still be 14.2 inches.
C. The new mean length will be 41 inches.
D. The new mean length will be greater than 14.2 inches.
The fish's length will affect the mean because the new mean length will be less than 14.2 inches. That is option A.
What is mean?Mean is defined as the sum of all the data values divided by the count of values in a data set.
What a new value is added to a data set such as the group of fishes, it will affect the fish mean by reducing it to less than its former mean value which is 14.2 inches.
Therefore, the fish's length will affect the mean because the new mean length will be less than 14.2 inches.
Learn more about mean here:
https://brainly.com/question/1136789
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Need help asapppppppppp
determine the equation of a line that is vertical and goes through (-5,6)
Answer:
x = -5
Step-by-step explanation:
A vertical line is a line that goes up and down. It is of the form x = constant
To go through (-5,6) is has to have the value of the x coordinate
x = -5
Which of the following is a geometric sequence?
ES EL PUNTO A. RPBHCGNDGE
How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Answer:
0.62kg
Step-by-step explanation:
Let
x = 40/kg coffee
y = 11/kg coffee
two equations can be derived from the question
x + y = 12 equation 1
40x + 11y = 114 (9.5 x 12) equation 2
multiply equation 1 by 11
11x + 11y = 132 equation 3
subtract eqn 3 from eqn 2
29x = 18
divide both sides of the equation by 29
x = 0.62kg
(6.673×10−11^-^11)(7.2×10^22)/1700000
Answer:
see above there is answer
What is the slope of the line shown below?
(6,6)
m
O A. -2
B. 2
-5
6
O c. 7 /
IN
(1,-4)
5
1
O D.
D. -
2
Answer:
B
Step-by-step explanation:
answer is slope =2
use formula y2-y1 over x2-x1
two points of graph is (6,6) and (1,-4)
since 6 and -4 are both y, we take 6-(-4) over 6-1
we get 2
ask for further explanation if you need!!❤
Hi everyone, I’m currently trying to dive into some lessons before school starts and I’m taking algebra 2 this year and the lessons that I am currently studying about is imaginary numbers. I had a few questions so if anyone could help me out that’d be great! Starting off, while watching the video, the guy explaining says that j^4 = 1 because it is like j times j^3 and I’m just confused because I don’t understand where they got the 1 from…
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answer:
-4, 4, 7i, -7i
Step-by-step explanation:
Basically any or each bracket must be equal to 0. If x^2+16 = 0, then x can be 4 and -4, and if x^2+49 is 0, then x =7i or -7i
Can some help please
Answer:
Step-by-step explanation:
2 * 10^7 You are to use a single digit. That's the 2 on the left. Then count what it takes to get the decimal between the 2 and the 3. It's 7
0.000136
Count the number of zeros. Add a minus 1. You want the number to be counted until you get minus 1 which is the number of powers after the 1.
1 * 10^-4
26837 becomes 2 * 10^4. 4 is the number of digits you have before you get to a number between 1 and 10.
0.0302 becomes 3 * 10^-(1 + 1) = 3 * 10^-2
What is the factored form of 6x^2-13x-5
Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)
2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)
3. Set up 4 different pre-FOIL factored expressions.
4. Check and see which one works. It's (2x - 5)(3x + 1)
What is the greatest common factor of 24s3, 12s4, and 18s?
Answer:
24s3
Step-by-step explanation:
24s3 is the greatest common factor of 24 S3 12 s4 and 18s.
Find the product using suitable rearrangement 1879*5*20 please tell this
Answer:
187900Step-by-step explanation:
Calculate in steps:
5*20 = 1001879*100 = 187900Answer:
Step-by-step explanation:
1879 * 5* 20 = 1879 * (5* 20)
= 1879 * 100
= 187900
SOMEONE HELP ME PLEASE
here's the answer to your question
B
C
5
C
A
12
Find the length of “c” using
the Pythagorean Theorem.
Enter
Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
What is the order of rotational symmetry for the figure?
A. 1
B. 2
C. 3
D. 4 or more
The order of Rotational symmetry is 2 (option B) for the given figure.
What is order of rotational symmetry?It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.
The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.
If we rotate the picture by 90°or 270°, then it wont match the initial figure.
If we rotate the picture by 180° from initial, it will match the figure.
If we further rotate it by 180°( full 360° completed) , it will again match.
Hence, it matches 2 times in a single rotation.
Therefore it has rotational symmetry of order 2.
To solve more questions about rotational symmetry refer:
https://brainly.com/question/16883531
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If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?
Answer:
14
Step-by-step explanation:
Can someone please help me to evaluate
Answer:
1
Step-by-step explanation:
a*log(b) = log(b^a), so (1/2)*log(196)=log(14)
So 1+log(15)-log(14)=1
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
Answer:
Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
Need help ASAP 3(9+9b)=69+136
Answer:
b=3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
b = 3
Step-by-step explanation:
3(9+9b)=69+136
27+27b = 205
27b = 205-27
27b = 178
b = 178/27
*slaps face*
In the comments you said the "136" is "13b" so ok...
3(9+9b)=69+13b
27+27b = 69 + 13b
27+14b = 69
14b = 69-27
14b = 42
b = 3
hey help me please lol
Answer:
r = 5
Step-by-step explanation:
Side 1: 7
Side 2: 2 + r
To determine r, we subtract 2 from both sides to get the following:
Side 1: 5
Side 2: r
5 and r are the same, so 5 must equal 5.
Therefore, r = 5.
How do I do this?pls help someone i need to understand it for a important test tomorrow
Answer:
1.08915145
Step-by-step explanation:
First of all do 39 x 52, which equals 2028. Then to do the second part of the equation we move the two bottom numbers place value up by one giving us 38 x 49 which is 1862. And then we put 2028 divided by 1862 into our calculators and get the answer as 1.08915145.
