Answer:
free points thanks
Step-by-step explanation:
Imao
−2x=x2−6 Rewrite the equation by completing the square.
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
if
[tex]a = \frac{2x + \sqrt{x} }{x} [/tex]
and
[tex]b = \frac{1 - 2 \sqrt{x} }{ \sqrt{x} } [/tex]
without sing a calculator, show that
[tex](a + b) {}^{2} = \frac{4}{x} [/tex]
Answer:
Step-by-step explanation:
Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]
[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]
Now, find a +b
[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]
Combine like terms
[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]
Now find (a + b)²
(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]
[tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]
Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]
Tania earns $16 per hour at the Glendale Florist. She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work. Last week she worked 43
hours.
7) How much was she paid for her regular hours?
a $600
b. S520
C. S640
Answer:
$640 is how much she will make in in regular hours.
Step-by-step explanation:
Create an equation from the word problem and solve.
Option A is correct, $640 is the pay for her regular hours.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Given that Tania earns $16 per hour at the Glendale Florist.
She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work
Last week she worked 43 hours.
We need to find the payment she received for her regular hours.
16h is the expression to find the pay for h hours.
As she work for 40 hours.
Now plug in h as 40.
16×40
$640
Hence, option A is correct, $640 is the pay for her regular hours.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Riley counted the number of balls on one layer of a box, 34. The box has 8 layers. How many balls can the box hold?
Answer:
8 times 34= 272
Step-by-step explanation:
Please help me with this question!
Answer:
Your Answer Is 10
Step-by-step explanation:
1st Factor the Numerator and Denominator then cancel the common factor.
Hope It Help You If Yes then Please make me the Brainiest.
Thank You
Parshv
identify the vertex of the function graphed below.
A. (3,1)
B. (0,-2)
C. (1,1)
D. (2,2)
Answer:
D. (2,2)
Step-by-step explanation:
I did the test and I got it correct. :DD
70 is what percent of 56
Answer:
70 is 125% of 50
Step-by-step explanation:
I hope this helped :)
The percentage value of 70 to 56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.
Given that, to find what percent of 70 in 56.
To find out if the percentage of 70 is 56, follow the steps:
Step 1:Find the ratio of the two numbers that is the ratio of 70 and 56 gives:
[tex]70:56 = 70/56[/tex]
Divide both numerator and denominator by 14 yields in:
[tex]= 5/4[/tex]
Step 2: Convert the result of step 1 into decimals by a long division of 5 by 4.
[tex]5/4 = 1.25[/tex]
Step 3: Find the percentage value of the decimal by multiplying the decimal by 100.
[tex]1.25 \times100 = 125[/tex]%
Therefore, the percentage value of 70 to 56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.
Learn more about percentage ad ratio here:
https://brainly.com/question/30762422
#SPJ6
A sweater is 15% off. The regular price is $24. What is the price after the discount is taken off?
Answer:
$20.40 after the discount
Step-by-step explanation:
To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6
Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40
find the missing angle. PLEASE HELP!! I WILL GIVE 100 POINTS!!
OPTIONS:
50
60
140
70
Answer:
50°
Step-by-step explanation:
90°-40°=50°
The square on the angle means 90°.
Hope this helps! :D
Help me pleaseeeee thank youuu
Answer:
B, 3/10
Step-by-step explanation:
Going by SOHCAHTOA, we see that tangent is actually Opposite / Hypotenuse.
The opposite side of angle A here is 12, while the Hypotenuse is 40. Our answer is 12/40 which is 3/10.
Terry puts 14 comic books on each shelf of a bookcase. The expression 14s can be used to find the number of books on the shelves. Use the expression to find the total number of comic books on 7 shelves.
Answer:
dump-the-books-out
Step-by-step explanation:
i-think
Help For A Brainliest Please !
Answer:
ab = 6
a+b = 5
Step-by-step explanation:
Which description matches the function represented by this graph?
A. exponential growth
B. linear growth
C. linear decay
D. exponential decay
Answer:
your answer will be option D. exponential decay
Step-by-step explanation:
have a nice day/ night bye ^_^
Which method presented by teams in problem 8-48 seemed able to help find the area of other regular polygons? Discuss this with your team. Then find the area of the two regular polygons below. If your method does not work, switch to a different method. Assume c is the center of each polygon.
Create a poster or transparency that shows the two different methods that your team used to find the area of the regular hexagon in part (b) of problem 8-43. Then, as you listen to other teams present, look for strategiesthat are different than yours. For each one, consider the questions below. •Which geometric toolsdoes this method use? •Would this method help find the area of other regular polygons (like a pentagon or 100-gon)?8-45. Which method presented by teams in problem 8-44 seemed able to help find the area of other regular polygons? Discuss this with your team. Then find the area of the two regular polygons below. If your method does not work, switch to a different method. Assume Cis the center of each polygon.a. b. 8-46. So far, you have found the area of a regular hexagon, nonagon, and decagon. How can you calculate the area of anyregular polygon? Write a Learning Log entry describing a general process for finding the area of a polygon with nsides. 8-47. Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Beth does know that each side of the pentagon is 15 feet long. Copy the diagram of the regular pentagon below onto your paper. Find the area of the flowerbed and tell Beth how many bags of fertilizer to buy. Explain how you found your answer. 15 ft 5 C 11 C
what is a 90° plus 180° plus 15°
Answer:
285°
Step-by-step explanation:
90 + 180 = 270
270 + 15 = 285
Answer:
285°
Step-by-step explanation:
Lets solve your problem :)
90° + 180° = 270°
270° + 15° = 285°
Mark my answer brainliest to tell you the 4 algebra calulators :)
can y’all please help. I will send points if you want me to.
Answer:
the third one has a 2 acute angles 2 abuse angles and the x value is 110
Step-by-step explanation
the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle
5. Each pair of polygons below are similar. Show your work! Solve for x:
Answer:
x = 10
Step-by-step explanation:
30/35 = (6x-6)/63
210x - 210 = 1890
210x = 2100
x = 10
1) calcula a.b , si 120 =1+2+3+... +ab
Answer:
ab=195
Step-by-step explanation:
What is the value of the expression below when z=6z=6?
2z2 -8z-2
what is 2/5 * 3/11?....
Answer:
6/55
Step-by-step explanation:
[tex]\frac{2}{5}*\frac{3}{11}=\frac{2*3}{5*11}=\frac{6}{55}[/tex]
please help will ill brainiest if correct
Answer:
The answer would be -4.
Step-by-step explanation:
yeah I didn't do too good on that unit with the integers kind of thing so, yeah....
how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.
Will the product of two positive numbers be positive or negative? Why?
PLEASE HELP1!1!1!1!!1
Answer:
Positive
Step-by-step explanation:
Two positive integers multiplied will always be positive.
Answer:
Positive
Step-by-step explanation:
two positive will always be a positive because of the rule of multiplication
PLEASE SOMEONE HELP ME! I NEED THE ANSWER ASP
The water spray from a spinning lawn sprinkler covers a circular area of 196π square feet. If Ray is standing 30 feet away from the sprinkler as it is spraying water, which of the following statements is true?
A. Ray will get wet because the sprinkler sprays an area with a radius of 196 feet and 30<196.
B Ray will stay dry because the sprinkler sprays an area with a radius of 14 feet and 14<30.
C. Ray will stay dry because the sprinkler sprays an area with a radius of 28 feet and 28<30.
D. Ray will get wet because the sprinkler sprays an area with a radius of 98 feet and 30<98.
Answer: B
Step-by-step explanation:
196π=πr^2
196=r^2
14=r
14<30
-6x^3y+9x^2y^2-12xy^3
7
4
8
1
Write down the largest even number
you can using all four cards
Answer:
8
7
4
1
Step-by-step explanation:
8 is the answer
What is a congruence statement? PLEASE ANSWER HURRY
Answer:
A congruence statement says that two polygons are congruent.
Step-by-step explanation:
To write a congruence statement, list the corresponding vertices in the same order.
I need help on this pls
Answer:
Area= 56 cm²
Step-by-step explanation:
Figure given is a rhombus
Area= 1/2*d1*d2
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?
Answer:
V=π(d
2)2h=π·(12.8
2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so
The volume of a box is 400 in.^3in. 3 . The height is 5 in. What is the area of the base of the box?
Answer:
The area of the base is 80 in². 80 square inches.
Step-by-step explanation: V = b×h
Divide the volume by the height to find the area of the base.
400 ÷ 5 = 80
please help me, I don't understand this question
Answer:
[tex]f(y) = \frac{9y^4+26y^2+9}{y^4}[/tex]
Step-by-step explanation:
Work is attached from a derivative calculator. If you hover over the steps it tells you exactly what its doing(on the website). Feel free to ask if you dont understand any of the individual steps it does.