−5(|x−3|)−5<15
Step 1: Add 5 to both sides.
−5(|x−3|)−5+5<15+5
−5(|x−3|)<20
Step 2: Divide both sides by -5.
−5(|x−3|)
−5
<
20
−5
|x−3|>−4
Step 3: Solve Absolute Value.
|x−3|>−4
We know eitherx−3>−4orx−3<−(−4)
x−3>−4(Possibility 1)
x−3+3>−4+3(Add 3 to both sides)
x>−1
x−3<−(−4)(Possibility 2)
x−3<4(Simplify both sides of the inequality)
x−3+3<4+3(Add 3 to both sides)
x<7
Answer:
x>−1 or x<7
Which of the following is the best definition of vertical angles?
Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.
Step-by-step explanation:
Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.
I'd say it's the 3rd option:
"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."
but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.
How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?
Answer:
You would be able to afford 9 gallons of gas.
Step-by-step explanation:
34.83 divided by 3.87 is 9. Have a nice day!
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
What is the length of DE?
А. 8
В. 7
С. 6
D. 5
Order the expressions by choosing >,
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?
You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
2,309.2
This could be wrong but I'm pretty sure it's right
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50
Answer g
Step-by-step explanation:
g
Answer:
don't know i tell true
Step-by-step explanation:
Find f(-2) if f(x)= x^2 + 8x
Answer:
f(-2) = -12
Step-by-step explanation:
f(x)= x² + 8x
We want to find f(-2)
f(-2) = (-2)² + 8(-2)
Apply exponent : (-2)² = 4
f(-2) = 4 + 8(-2)
multiply 8 and - 2 : 8 * -2 = -16
f(-2) = 4 - 16
subtract 16 from 4 : 4 - 16 = -12
f(-2) = -12
Step-by-step explanation:
f(x) = x² + 8xf(-2) = (-2)² + 8(-2) = 4 - 16 = -12
Hey! Please help me ASAP
Answer:
-d+3.5≥4
Step-by-step explanation:
Just ask.
Hope this helps! :)
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
Will give brainliest!
Answer:
- 1/4
Step-by-step explanation:
Where you see X, substitute with 1/3
Solve the power/exponent first:
6(1/3) = 2
That is ; - 4(1/4)^2
Solve the parenthesis:
(1/4)^2 = 1/16
-4(1/16)
= - 1/4
Solve for X and Y thank u!
Answer:
I did most of the work 4 u :3
Step-by-step explanation:
Just do the last question
HOPE THIS HELPED :DDDDDDD
a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate
Answer:
By:Parrain
Step-by-step explanation:
The probability that the selected tile will be green is 0.5.
The probability that a tile will be green can be calculated by the formula:
= Number of green tiles / Total number of tiles
Total number of tiles is:
= 3 + 6 + 3
= 12 tiles
Probability of picking green tile is therefore:
= 6 / 12
= 50%
= 0.50
The probability of picking a green tile is 0.50
1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631
Answer:
D
Step-by-step explanation:
Process of Elimination:
A: 3.976 is greater than 3.97
B: 1.025 is lesser than 1.25
C: 9.145 is greater than 9.14
All of the options checked are true, leaving the answer only to be D.
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
Evaluate the expression for u = -15.
-2(-12 – u) =
Answer:
-6
Step-by-step explanation:
-2(-12 - u )
u = -15
-2 ( -12 - (-15))
remove parenthesis.
-2 ( -12 + 15 )
add -12 and 15
-2 ( 3 )
multiply -2 and 3
= -6
Step-by-step explanation:
u = -15-2(-12 - u) = -2(-12 + 15) = -2(3) = -6
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Hope you could get an idea from here.
Doubt clarification - use comment section.
The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true
The equation is given as:
[tex]\frac pq = \frac qr[/tex]
Cross multiply
[tex]pr = q^2[/tex]
Rewrite as:
[tex]q^2 = pr[/tex]
Also, we have:
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]
Substitute [tex]q^2 = pr[/tex]
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]
Expand
[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]
Simplify
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]
Rewrite as:
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]
Substitute [tex]pr = q^2[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]
Divide q^6 by q^3
[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]
Rewrite the equation as:
[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]
Hence, the equation has been proved
Read more about equations at:
https://brainly.com/question/13729904
5. What are the solutions to the equation (x - 1)(x + 2) = -2?
I hope this helps. Comment if any doubt.
what is the greatest common factor for 228/252
Answer:
i got 47/88
Step-by-step explanation:
Divide each number by two
In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576
Answer:
C
Step-by-step explanation:
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.
Answer:She will have:
N = 200 smaller lots
Step-by-step explanation: N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?
Step-by-step explanation:
24 cans cost $8.
so, 1 can is 1/24 if the total, and that applies then also to the price.
so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33
Answer:
Cost per can = $0.33.
Step-by-step explanation:
8 / 24
= 1/3
= 0.333....
Pls answer these questions
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation: