solutions of quadratic equations by extracting the square root .
1.3x²=27
2.x²-144=0
3.x²-20=25
4.4x²-16=36
5.(2x-1)² =36
Answer:
1: x= 3
2:x=12
3:x= 6.7
4:x=3.6
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
-3x + y = 8
3y = 9x
y = - x
6x + 2y = 12
Answer:
-3x + y = 8 and 3y = 9x
Step-by-step explanation:
g(x)= x+5
Describe the transformation
19/8 + 5/8 what is the answer to this
Answer:
24/8 or 3
Step-by-step explanation:
19/8 + 5/8
=> 19 + 5 / 8
=> 24/8
=> 3
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Which functions are symmetric with respect to the origin?
y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx
Answer:
The correct option is;
y = arcsinx and y = arctanx
Step-by-step explanation:
The given options are;
1) y = arcsinx and y = arccosx
Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0
Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin
2) y = arccosxy and y = arctanx
Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical
3) y = arctanx and y = arccotx
Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical
4) y = arcsinx and y = arctanx
Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.
The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.
The following steps can be used in order to determine which functions are symmetric with respect to the origin:
Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.
Step 2 - Substitute (x = 0) in option a), that is:
[tex]\rm y = sin^{-1}(0)=0[/tex]
[tex]\rm y = cos^{-1}(0)=1.57[/tex]
Step 3 - Substitute (x = 0) in option b), that is:
[tex]\rm y = cos^{-1}(0)=1.57[/tex]
[tex]\rm y = tan^{-1}(0)=0[/tex]
Step 4 - Substitute (x = 0) in option c), that is:
[tex]\rm y = tan^{-1}(0)=0[/tex]
[tex]\rm y = cot^{-1}(0)=1.57[/tex]
Step 5 - Substitute (x = 0) in option d), that is:
[tex]\rm y = tan^{-1}(0)=0[/tex]
[tex]\rm y = sin^{-1}(0)=0[/tex]
For more information, refer to the link given below:
https://brainly.com/question/13710437
Find the equation of the line
Y= __x + __
Answer:
y=2x+5
Step-by-step explanation:
0,5
0,7
7-5 is 2
2/0 is 2
to check answer:
(2*0)+5
0+5
=5
See attachment for math work and answer.
Erik drives 19.2 miles in 16 minutes.
He passes a sign which gives the speed limit as 65 mph.
By how much, in mph, did Erik's average speed exceed the speed limit?
The average speed exceeding the speed limit is mathematically given as
6.91 kilometers per hour
This is further explained below.
What is the average speed exceeding the speed limit?Let's assume that Erik maintains a steady pace during the whole trip.
Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:
Where: miles is the unit of measurement for distance.
t stands for time, which is measured in hours.
Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:
[tex]\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}[/tex]
In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.
Read more about average speed
https://brainly.com/question/12322912
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Need asap 9th grade just answer no explanation
Answer:
(x-3)(x-2)
Step-by-step explanation:
none cause you dont want one
What term can you add to 5/6 x-4 to make it equivalent to 1/2 x-4
-1/3x
-1/3
1/2x
1/2
Please help me with my homework
Answer:
49/30
Or
1 19/30
Step-by-step explanation:
At your job, you move 350 hundredweight barrels in one day. How many tons did you move?
Answer:
.175 tons
Step-by-step explanation:
350 pounds converts to .175 tons.
Find the Greatest Common Factor of each pair of Numbers.
60 and 72; GCF
45 and 81: GCF:
Answer:
60,72 - 12
45,81 - 9
Is 0.584... rational or irrational
Answer:
Its irrational since it’s never ending
Step-by-step explanation:
rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends
Answer:
0.584... is irrational
Step-by-step explanation:
This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.
answerr 5 & 6 pleaseee
Somebody please help!
Answer:
17
Step-by-step explanation:
Plug 4 in, instead of x: 3(4) + 53(4) = 3 × 4 = 12Plug 12 in: 12 + 512 + 5 = 17I hope this helps!
Rasheed buys candy bars for $0.63 each. He sells them for $1.50 a piece. Write an equation
to show how many candy bars Rasheed will need to sell to make $522.00. Solve that
equation.
Answer:
$126
Step-by-step explanation:
Well first you would have to see how much the total sale of 700 chocolate bars is,
700*1.20=$840
Next you need to multiply the 15% thats going to club shirts,
$840*0.15=126
So your answer is $126
Is there enough information given to prove that the following pairs of triangles are congruent explain why or why not if not describe the information could be added to guarantee congruence
need help on this asap pleasee:((
Answer:
hatdogkajsidnevwjqo
Starting with the first, on each of Gideon's birthdays, Dr. Prince deposits $1200 into an account earning 4.9% interest compounded annually.
What is the total amount in the account after the deposit made on Gideon's eighteenth birthday?
How much should Dr. Prince have deposited each year if he had wanted the account to be worth $76000 on Gideon's eighteenth birthday?
Answer:
74t+(-24x)
Step-by-step explanation:
evaluate the determinant please answer i have limited time
See Explanation
Step-by-step explanation:
[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]
[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\
=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\
= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\
= 4(-43) -2(-17) +6(5)\\\\
= - 172 + 34 + 30\\\\
= 64 - 172\\\\
= - 108 \\[/tex]
Aaliyah wants to download 50 songs on her phone, but her phone has room for only a third of the songs. How many songs can she download?
Answer:
16 songs.
Step-by-step explanation:
If Aaliyah has 50 songs, but her phone can only hold a third of those songs, to solve this problem, we will have to find a third of 50.
Divide 50 into 3:
[tex]50[/tex] ÷ [tex]3[/tex]
[tex]=16.6666...[/tex]
As this decimal does not terminate, we'll have to round down to [tex]16[/tex] since we cannot have a portion of the song downloaded.
Therefore, Aaliyah can download 16 songs on her phone.
The value of $y$ varies inversely as $\sqrt x$ and when $x=2$, $y=4$. What is $x$ when $y=1$?
5 less than the product of a number n and 3
Step-by-step explanation:
5 - 3n
I think sooooooo
h e l p .................
Answer:
The answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.
Please respond quickly
Answer:
5m-4
Step-by-step explanation:
The product of 5 and a number is written as 5(m) <--- any variable you chose.
The solution is 4 less than 5m.
So: 5m-4
Hope this helps ^^
I need help pls!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.
Step-by-step explanation:
AP CAL AB!!!! HELP. A ladder 10 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ=π/3 ?
Answer:
[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]
Step-by-step explanation:
Please refer to the diagram below.
We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:
[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]
We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:
[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]
Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:
[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]
Multiply both sides by 10. So, dx/dθ is:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]
We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]
Evaluate:
[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]
So, x is changing with respect to θ at a rate of 5 feet per radian.
An item is regularly priced at $15. Raina bought it at a discount of 65% off the regular price. How much did she pay
Answer:
She paid $5.25
Step-by-step explanation:
You would multiply 15 times 0.65 and then subtract that from 15 or you could multiply 15 times 0.35 because 100-65 is 35.
Mark decides to make his favorite lunch, grilled cheese! His recipe calls for 3 slices of cheese per one sandwich. He makes 6 sandwiches for the family on Friday.
Answer:
18 pieces of cheese
Step-by-step explanation:
3 slices x 6 grilled cheeses = 18 slices of cheese
Oranges cost 21 cent each. alex buy x and Bobby buys (x+2) oranges. The total cost of these oranges is $4.20