Answer:
f(2) = -6
Step-by-step explanation:
f(x) = 3x - 12
Let x =2
f(2) = 3*2 -12
= 6-12
= -6
algebra applications: find the value of x and y
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Find the magnitude of the vector from the origin to (-7,5) and write the vector as the sum of unit vectors.
Answer: The answer is C
[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]
The vector (-7,-5) as a sum of unit vectors is -7i-5j
Answer:
C on E2020
Have a Great Day ;)
Which symbol correctly compared these two fractions
Answer:
B
Step-by-step explanation:
> = greater than
= this means equal to
< = less than
[tex]\frac{8}{13} =\frac{8}{13}[/tex]
the median and mean
PLZ HELP
Step-by-step explanation:
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29,32
Median:
Data Set A = 26
24 + 28 = 52
52/2 = 26
Data Set B = 23
21 + 25 = 46
46/2 = 23
Mean:
Data Set A = 25
14 + 21 + 24 + 28 + 28 + 35 = 150
150/6 = 25
Data Set B = 24
18 + 19 + 21 + 25 + 29 + 32 = 144
144/6 = 24
Question in screenshot. Please help
Answer: D
Step-by-step explanation:
72/150 x 100 = 48%
What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?
Answer:
26.67m/s²
Step-by-step explanation:
From the question we are given
Final velocity = 30m/s = v
Initial velocity = 10m/s = u
We were not given time but we were given distance = 15m
Therefore we would be using the formula:
Acceleration = v² - u²/ 2s
Where S = distance
v = final velocity
u = initial velocity
Acceleration (a) = 30² - 10²/ 2 × 15
a = 900 - 100/ 30
a = 200/30
a = 26.666666667m/s²
a = 26.67m/s²
Verify the identity cosx cos(-x) - sinx sin(-x) =1
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
cos(x) cos(-x) - sin(x) sin(-x) = 1
Hint: | Cosine is an even function.
Use the identity cos(-x) = cos(x):
cos(x) cos(x) - sin(-x) sin(x) = ^?1
Hint: | Sine is an odd function.
Use the identity sin(-x) = -sin(x):
cos(x) cos(x) - -sin(x) sin(x) = ^?1
Hint: | Evaluate cos(x) cos(x).
cos(x) cos(x) = cos(x)^2:
cos(x)^2 - ( - sin(x) sin(x)) = ^?1
Hint: | Evaluate -(-sin(x)) sin(x).
-(-sin(x)) sin(x) = sin(x)^2:
cos(x)^2 + sin(x)^2 = ^?1
Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.
Substitute cos(x)^2 + sin(x)^2 = 1:
1 = ^?1
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?
Answer:
5 small bags of cat food and 1 large bag of cat food
Step-by-step explanation:
bc thats the only one that was no more than $54 and was at least 4 bags o food :)
I know this is easy but can someone answer this ?
Answer: 57.15°F
Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...
62.4°F - 5.25°F = 57.15°F
The tempature is 57.15°F at 8 PM, I hope this helps!
One of the advantages to an employer of paying employees fuoco rate or commission is that the employee is paid based on
their performance What is one disadvantage of this type of pay?
Answer:
Becomes too focused on earning commission
Step-by-step explanation:
A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.
Answer:
The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.
Hope this helps!
Solve for g
-6g + 3g + 12 > -18
A.g<2
B.g> 2
C.g<10
D.g> 10
Answer:
g < 10
Step-by-step explanation:
-6g + 3g + 12 > -18
Combine like terms
-3g +12 > -18
Subtract 12 from each side
-3g+12-12 > -18-12
-3g > -30
Divide each side by -3, remembering to flip the inequality
-3g/-3 < -30/-3
g < 10
Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
Answer:
The answer is A triangle with 45 degrees, 45 degrees, and 90 degrees
Step-by-step explanation:
Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)
Answer:
work is shown and pictured
Answer:
(4x + 5)(4x + 5)
Step-by-step explanation:
Took test.
Want a more in-depth explanation? Try visiting the Math Nation site.
this is numbers 1,2 and 3
Answer:
1. c
i think its right i hope it is im so sorry if it is not
If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.
Answer:
12 divided by 1/2 = 24
Step-by-step explanation:
Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5
Answer:
C
Step-by-step explanation:
3x2 - 5x+1 + 2x2 +9x-6
Combine like terms
5x2+4x-5 which is C
You are welcome and don't for get to click THANKS
Does (3, –8) make the equation y = –x + –5 true?
factories 3t+15
factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2
Answer:
(a) 3t + 15
3(t + 5)
(b) 3a² + 9a
3a(a+3)
(c) a²b + ab² + ab
ab(a +b + 1)
(d) x² - 25
x(x-25)
(e) I'm not sure about this one, sorry
Find two consecutive whole numbers that 82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)
Solve 13+x>11. Enter your answer as an equality
Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
Which statement best describes how to determine where f(x)=x^2-x+8 is an even function
Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)
Step-by-step explanation:
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4
Answer:
b = -5
Step-by-step explanation:
You needy to calculate the Discriminant = b² - 4ac
If D is zero there is one real solution,
If D less then zero there are no real solutions
Only if D is bigger then zero, there are two real solutions.
x² - 5x + 5 D > 0 so 2 real solutions
see attachment.
x² - 3x + 5 D < 0 so no real solutions
x² + 3x + 5 D < 0 so no real solutions
x² + 4x + 5 D < 0 so no real solutions
Answer:
-5
Step-by-step explanation:
It's A on edge I'm doing the assignment rn
Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65
I believe the normal distribution is symmetrical above and below
the mean. That tells us that in this kind of distribution, the mean
and the median are the same number ... 50% of the population
is below it, and 50% is above it.
So if the female Labs' weight actually follows a 'normal' distribution
with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs
and 2,700 of them weigh less than that.
The standard deviation doesn't matter.
Fill in the table to help you make a conjecture about the geometric sequence An=(0.5)n-1
N=1,2,3,4,5
A1=1,0.5,0.25,W,0.0625
Sn=1,1.5,x,y,1.9375
W=? X=? Y=?
Answer:
W = 0.125
X = 1.75
Y = 1.875
Step-by-step explanation:
The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).
Therefore each new term is found by multiplying the previous one by 0.5:
A1 = 1
A2 = 0.5
A3 = 0.25
A4 = 0.125 = W
A5 = 0.0625
And the partial sums are the additions of the terms until the last one considered:
S1 = 1
S2 = 1.5
S3 = 1.75 = X
S4 = 1.875 = Y
S5 = 1.9375
therefore,
W = 0.125
X = 1.75
Y = 1.875
Answer:
The next answers are approaching a number and 2
Step-by-step explanation:
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate exterior angles with angle 5?
Answer:
The answer is 7 angles.
Step-by-step explanation:
There 7 alternate exterior angles with angle 5.
Correct me if I'm wrong!
Thank you!!!
The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.
What is an alternate exterior angles ?The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.
Hence, the angle that is alternate exterior angles with angle 5 is as follows:
∠11learn more on alternate exterior angles here: https://brainly.com/question/16244138
work out the surface area of the shapes in the attached file
Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
____________________
2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation:
PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45
Answer:
c
Step-by-step explanation:
25% = 15$ so 15+15+15+15=60
Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.
Answer:
The correct option is (B)
(B) x-y = 6 , 3x+4y = 4
Step-by-step explanation:
As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:
Find the values of x and y for (B);
x - y = 6 ⇒ (i)
3x + 4y = 4 ⇒ (ii)
Lets consider equation (i)
x - y = 6
x = 6 + y
Substitute in equation (ii)
3(6+y) + 4y = 4
18 + 3y + 4y = 4
7y = -14
y = -2
Substitute in equation (i)
x - (-2) = 6
x + 2 = 6
x = 6 - 2
x = 4
As solution of part C is also (4, -2), it represents the graph
You can also find the (x, y) for other options the similar way, which will show you they don't have the same value
Answer:
its B
Step-by-step explanation:
An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $88. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.
Answer:
idk just did like 9 math problems :/
Step-by-step explanation:
ill come back in an hour