Let's find out by replacing d with -12. Then we'll simplify the left side
|d+9| = 3
|-12+9| = 3 .... replace d with -12
|-3| = 3
3 = 3
Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.
Therefore d = -12 is one of the two solutions to the original equation.
Answer: TrueAnswer:
True
Step-by-step explanation:
We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.
| - 12 + 9 | = | - 3 | = 3 = right side
Thus x = - 12 is one of the solutions to the equation.
[ The other solution is x = - 6 ]
the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
g(x)= 9 cos (x - 2pi/ 3) -1
g(x)= 9 cos (x - 2pi/3) +7
g(x)= 9 cos (x - pi/3) +7
g(x)= 9 cos (x - pi/3) -1
Answer:
g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7
Step-by-step explanation:
What is given is f(x) = g cos (x - pi/2) + 3
Note that the standard form of cosine function is a cos (bx + c) + d
a= amplitude
-c/b = phase shift
d = vertical shift
After moving pi/6 to the left --
x = pi/2 - pi/6 = pi/3
once moving pi/6 left, it is at pi/3
moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.
So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7
The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
The function is given as:
[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]
The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.
The rule of this translation is:
[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]
So, we have:
[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]
Take LCM
[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]
[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]
Divide 2 by 6
[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]
Next, we translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
How to solve for x??
Answer:
17
Step-by-step explanation:
The sum of a polygon's angles is 180° (n − 2), where n is the number of sides. A hexagon has 6 sides, so the sum of the angles is:
180° (6 − 2) = 720°
Therefore:
720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110
720 = 26x + 278
26x = 442
x = 17
Simplify the following expression
- 4p - (1 - 6p)
Answer:
2p-1
Step-by-step explanation:
Answer:
-2p - 1
Step-by-step explanation:
-4p - (1 - 6p)
-4p - 1 + 6p
-4p + 6p - 1
-2p - 1
Please let me know if I'm wrong!
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that Cathy ends up repaying
Answer: this answer makes no sense
Step-by-step explanation:
3x 45 help Pleasssssse
Answer:135
Step-by-step explanation:45+45=90 90+45=135
1 point
Officer Cooter spent half of the money in his wallet going to the movies. After the movies, he found 6 dollars in the dryer while doing his laundry
and put it in his wallet. How much money did he start with in his wallet if he ended with 16 dollars?
Choose the equation from the following list and solve.
16 = 2 + 6
16 = -6
16 = +6
16 = 2r - 6
Officer Cooter started with $ type your answer...
in his wallet
Answer:
34
Step-by-step explanation:
1÷2/3 blank 1
I have to figure out if it is < > =
Answer:
>
Step-by-step explanation:
Step 1: Define
1÷2/3 ? 1
Step 2: Evaluate 1÷2/3
1÷2/3 = 1 · 3/2 = 3/2
3/2 = 1.5
Step 3: Find
1.5 ? 1
1.5 > 1
Find 4.8 x 7.2 show your proof
Answer:
34.56
Step-by-step explanation:
it is what it is
Help please all of yu smart mathematics
Answer: take the picture again and i well help you am here to help its burred
Step-by-step explanation:
Can someone help me with this question
hi! here is your answer
Answer:
It is SAS congruence criterion
hope it helps you!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
SAS
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(( AR )) Side = (( ER )) Side
(( ARK )) Angle = (( ERN )) Angle
(( KR )) Side = (( NR )) Side
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity
inconsistent equation
Which verbal expression shows 4 ÷ n?
Answer:
the quotient of 4 and n
Step-by-step explanation:
or 4 divided by n
Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5
Answer:
14.5
Step-by-step explanation:
please help im stuck
Paulo's grandfather gave him a collection
of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used
to find m, the number of months after starting
his collection when Paulo will have more than 50 coins in his collection?
Answer:
20 + 4m >50
Step-by-step explanation:
I will give Brainliest.
graph the line representing the equation 10x + 12y = 240.
Answer:
Step-by-step explanation:
10x + 12y = 240 simplified is y= -5/6 +20
The x-intercept is located at ( 24 ,0)
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is -5/6
Answer:
Step-by-step explanation:
Matt filled his pail with 16 kg of sand, but found that it was too heavy to carry. He scooped out 7 kg of the sand. What is the mass of the sand in the pall now?
9 g
9001
9 kg
9g
Answer:
9kg
Step-by-step explanation:
..................
Answer:
9kg
Step-by-step explanation:
16k-7kg=9kg
Helppppppppp i will mark you as a Brianlist
Answer:
I would say 23
Step-by-step explanation:
From 13 to 17 they add 4 then from 17 to 21 they add 4 so 21 plus 4 does not equal 23
Answer:
16, 25, 36
Step-by-step explanation:
there's a lot lol
Math math math :D
Please help me!
Answer:
£4.48
Step-by-step explanation:
Patrice earns $10 per hour.
Last week, she worked 9
hours on Monday, 3 hours
on Tuesday, and 8 hours on
Wednesday She had
Thursday off, and then she
worked 6 hours on Friday.
How much money
did
Patrice earn in all last week?
Answer:
She earned 260 dollars
Step-by-step explanation:
If you multiply 9 by 10 you get 90 then do the same to the rest of the numbers then add them you get your answer.
Which equation represents a line which is parallel to the line y-7x= -2
Answer:
7x-y = 2
Step-by-step explanation:
i think it is right I"m not very sure
Turn the following fraction into a PERCENT: 15/60
What do solving absolute value equations and solving quadratic equations have in common?
Answer:
They often have more than one solution.
Answer:
Step-by-step explanation:
Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.
When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find
For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.
The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form by taking advantage of the fact that
The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.
For example, , since we do not care about the negative sign.
Example: Solve
Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5.
3[25-2(9+3)]=?. Pleaseeeeeeee
PLEASE SOLVE THIS i really need help
Answer:
Oh jeez I forgot most of this, but I believe it is Complementary
Step-by-step explanation:
Answer:
32+58+90
Step-by-step explanation:
32 and x is a 90 degree angle since its a right angle and right angles add up to 90
whats the answer to number 1 please and thank you? please write down the steps too
Answer:87
Step-by-step explanation:
43+x+15=3x
58+x=3x
58=2x
x=29
Name an angle that is supplementary to ABC
can you tell me how you get your answer
Answer:
The answer to this is: You click answer and then you just answer what the person asks and can i have brainliest?? please
Step-by-step explanation:
Answer:
For math I use my calculater :)
step-by-step explanation:
Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)
Answer:
the answer is B which is y= -2/3x + 29/3
Step-by-step explanation:
2. 12 more than 5 times c
Answer:
5c + 2.12
Step-by-step explanation:
5 × c = 5c2.12 more than 5 × c = 5c + 2.12I hope this helps!