Answer:
x = 8
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent hence 8x + 36 = 5x + 60
( Notice that we just created an equation that we can use to solve for x )
We now solve for x algebraically
8x + 36 = 5x + 60
Step 1: Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 60
Outcome: 3x + 36 = 60
Step 2: Subtract 36 from both sides
3x + 36 - 36 = 60 - 36
Outcome: 3x = 24
Step 3: Divide both sides by 3
3x/3 = 24/3
Outcome: x = 8
∣x−18∣=5 absolute value
Answer
x = 13 or x = 23
Step-by-step explanation:
|x-18| = 5 means there are two possibilities.
x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.
so you can write two equations and solve
first is x-18 = 5
x-18 + 18 = 5 + 18
x = 23
the second is x - 18 = -5
x - 18 + 18 = -5 + 18
x = 13
The two solutions are 13 and 23.
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
Which steps can be used to solve
6
X
1 7
2 8
for x?
Answer:
2856
Step-by-step explanation:
This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.
if g(x) is x-3 then what is g(3x)
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
the range of the function y=secx-2 is all reals except
-1
1
-3
-2
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) [tex]2x-11=x+7[/tex]
2) [tex]x-11=7[/tex]
3)[tex]x=18[/tex]
Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
24.3
Step-by-step explanation:
tan(theta) = P/B
tan(38) = 19/x
x=19/tan(38)=24.3
PLZZ HELP !!!
If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)
- range of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the range of g(x)
- range of f(x) is the same as the range of g(x)
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
In order to make a profit, a retailer will mark up the cost of an item. If the cost of the item is $42 but it is sold for
$89, what is the mark up rate for the item?
Round your answer to the whole percent.
Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.
Answer:
x=300
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−150=−0.5x
Divide both sides by −0.5.
−0.5
−150
=x
Expand
−0.5
−150
by multiplying both numerator and the denominator by 10.
−5
−1500
=x
Divide −1500 by −5 to get 300.
300=x
Swap sides so that all variable terms are on the left hand side.
x=300
Hope this helped!
Both please please………
Answer:
Step-by-step explanation:
First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)
Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major
Please help i'm really struggling with this unit
A primary trigonometric ratio of an angle is given : tan = 2√5 / 5 . The terminal arm falls in quadrant 3. Find the other 2 primary trigonometric ratios in exact form (no decimals). Rationalize if necessary.
I WILL GIVE BRAINLIEST
Answer:
sin(theta)=-2/3 and cos(theta)=-sqrt(5)/3
Step-by-step explanation:
First of all, as the theta is in 3rd quadrant, all the other ratios will be negative. Second tan(theta)=P/B. So, 2=P and B=sqrt(5), H=sqrt(P^2+H^2)=sqrt(4+5)=3. sin(theta) will be P/H=-2/3 and cos(theta) will be B/H=-sqrt(5)/3
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
TIME REMAINING
53:07
Solve for w.
5w + 9z = 2z + 3w
w = w equals negative StartFraction 7 Over 2 EndFraction z.z
w = w equals negative StartFraction 2 Over 7 EndFraction z.z
w = –2z
w = –7z
Answer:
w=-7/2z
Step-by-step explanation:
to solve for w you firstly have to group the like terms
5w-3w=2z-9z
2w=-7z
then you have to divide both sides by 2 inorder to remain with w on one side.
2w/2=-7/2
w=-7/2
I hope this helps
Answer:
A. w = (-7/2)z or w equals negative StartFraction 7 Over 2 EndFraction zStep-by-step explanation:
5w + 9z = 2z + 3w5w - 3w = 2z - 9z2w = - 7zw = (-7/2)zCorrect choice is A
Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate to the total number of oranges?
Practice Problems
Lance and Dimetri are playing a marble game. According to their rules, 3 points are awarded for
each red marble collected and 2 points are awarded for each green marble collected.
The number of points per player is found using the following expression:
3r + 29
How many points would be given for 5 red and 6 green marbles?
PLEASE QUICK I WILL GIVE 5 stars
What is the decimal eqivalent for a meter?
Answer:
One meter = 10 decimeters = 100 centimeters = 0.001 kilometers = 3.2808399 feet = 1.0936133 yard = 0.000621371192 mile = 39.3700787 inches
Step-by-step explanation:
what is the CP if SP is Rs:20 and profit is Rs:7
Answer:
CP is 13 because 20-13=7 also you can subtract 20-7=13
So, here us your ans 13.
Myles has calculated that 1/2 a box of tile will cover 1/6 of his kitchen floor. How many boxes of tile will he need to cover the entire kitchen?
Answer: He need 3 boxes.
Step-by-step explanation:
Every 1/6 of his floor needs 1/2 of the tile box.Split his floor into 6 parts, each part needing 1/2 of the tile box:
[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]
Or you can add 1/2 six times for each 1/6 of the floor:
[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]
Help plz and thanks
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed
to make 125 tonnes of concrete?
Answer:
98.7 tonnes of sand.
Step-by-step explanation:
First find the total :
3 + 1 + 15 = 19
if 19 = 125 tonnes,
what about 15 = ?
(cross multiply)
[tex] \frac{15}{19} \times 125[/tex]
= 1875 ÷ 19
= 98.68
(rounded off to 1 decimal place)
= 98.7 tonnes of sand.
Cual es la respuesta 5%9(12-32)
Answer:
i need more detail
Step-by-step explanation:
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
Help me please i have no idea how to do this
Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.
3.
Find the inverse of A if it has one, or state that the inverse does not exist.
I can only give you the answer
Answer:
Hello,
Answer A
Step-by-step explanation:
See jointed file: Methode du compagnon
What is the value of m in the diagram?
Answer:
81
Step-by-step explanation:
The angles shown are formed on a straight line
Angles formed on a straight line add up to 180
So m + m + 18 = 180
We've just created an equation that we can use to solve for m
So we can now solve for m
m + m + 18 = 180
Combine like terms
2m + 18 = 180
Subtract 18 from both sides
2m + 18 - 18 = 180 - 18
2m = 162
Divide both sides by 2
2m/2 = 162/2
m = 81
What is 7 3/8 rounded to the nearest whole number?
Answer:
7
Step-by-step explanation:
4/8 = 1/2
3/8 is less than 1/2 so round down
7 3/8 rounds to 7
Answer:
7
Step-by-step explanation:
7 3/8 = 7.375
The closest whole number is 7
Answer from Gauthmath
An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling
Both? or just the westbound?