Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ( factor out 2 from the first two terms )
2(x² + 4x) = 1
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = [tex]\frac{9}{2}[/tex] ( take square root of both sides )
x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\frac{3}{\sqrt{2} }[/tex]
Then
x = - 2 - [tex]\frac{3}{\sqrt{2} }[/tex] ≈ - 4.12 ( to 2 dec. places )
x = - 2 + [tex]\frac{3}{\sqrt{2} }[/tex] ≈ 0.12 ( to 2 dec. places )
What is the value of the expression 10z2-2z-2 when z=3?
Answer:
82 is the value of the expression when z = 3
Step-by-step explanation:
Plug in 3 to the expression.
[tex]10z^{2} -2z - 2\\ 10(3)^{2} - 2(3) - 2[/tex]
Then solve the expression.
90 - 6 - 2 = 82
We got 90 when we squared 3 and multiplied that number (9) by 10, resulting in 90.
Monsieur Anatole est un artisan spécialiser dans la fabrication de colliers. Il dispose 3 717 perles rouges et de 2 205 perles blanches. En utilisant toutes ses perles, il réalise au maximum de colliers identique. La réalisation de chaque collier lui coute 9,84 €. Un deuxième artisan, Monsieur Bernards, utilise la totalité de ces 1472 perles rouges et 2 898 perles blanches pour fabriquer un maximum de colliers identiques. La fabrication d'un collier lui revient à 8,48 €. Les deux artisans décident de fixer le prix de vente de chaque colliers selon la constitution, à savoir : 22 centimes d'euro par perle rouge et 13 centimes par perles blanches. Sur la vente d'un collier, quel artisan réalise le meilleure bénéfice ?
Answer:
Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard
Step-by-step explanation:
a) Pour Monsieur Anatole
Nous trouvons le plus grand diviseur commun de 3717 et 2205
Par conséquent, le plus grand diviseur commun = 63
Le nombre de colliers qu'il a fabriqués = 63
Découvrir combien de perles rouges et blanches il a utilisées
Pour les perles rouges =
= 3717/63 = 59 perles
Pour les perles blanches
= 2205/63 = 35 perles blanches
il fabrique 63 colliers avec 59 perles rouges et 35 perles blanches
On nous dit dans la question que:
Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.
Le prix de vente du collier =
0,22 × 59 + 0,13 × 35 = 17,53 €
Prix de revient = 9,84 €
Le profit est calculé comme suit:
17,53 € - 9,84 € = 7,69 €
Nous calculons le pourcentage de profit
= Bénéfice / Prix de revient × 100
= 7,69 / 9,84 × 100
= 78,150406504%
= 78,2%
b) Pour Monsieur Bernard
Le GCD de 1472 et 2898 = 46
Par conséquent, il a fait 46 colliers
Le nombre de perles rouges = 1472/46
= 32 perles rouges
Le nombre de perles blanches = 2898/46
= 63 perles blanches
Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.
Le prix de vente de chaque colliers = 32 × 0,22 + 63 × 0,13 = 15,23 €
Le coût Prix du collier = 8,48 € chacun
Le profit qu'il a réalisé = 15,23 € - 8,48 €
= 6,75 €
Nous calculons le pourcentage de profit
= Bénéfice / Prix de revient × 100
= 6,75 / 8,48 × 100
= 79,5990566%
= 79,6%
Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard
To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?
Answer:
True
Step-by-step explanation:
Hope this helps x
True
Consider two numbers a and b
Their product will be [tex]\sf a \times b = (ab) [/tex]
Suppose I want to raise this product to a power, say m
That is, [tex]\sf (ab)^m [/tex]
By rules of indices,
[tex]\sf (ab)^m = a^m \times b^m [/tex]
So, we have to raise the individual factors of the product to the power and multiply the results.
Hence the given statement is true.
what is the answer for -3(n+6)+10=-8 what would n be?
Answer:
n = 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(n+6) +10 = -8 distribute the -3
-3n -18 +10 = -8 combine like terms
-3n -8 = -8 add 8 to each side to get the -3n by itself
-3n = 0 divide each side by -3
n = 0
Use the fact that 521•73=38,033 Enter the exact product of 521•73
Answer:
38,033
Step-by-step explanation:
Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?
Answer:
Ammy is correct
Step-by-step explanation:
Ammy's math partner is correct.
Applying the "power of power rule" of exponents, if we have numbers raised by another number, what is needed to be done is to simply multiply the powers.
Thus: [tex] (x^a)^b) = x^{a*b} = x^{ab} [/tex]
Applying this rule, the equivalent expression to [tex] (6^2)^4 = 6^{2*4} = 6^8 [/tex].
Therefore, Ammy's math partner is correct, while Ammy is wrong.
4/3 x (11/10-1/6)
Help me solve this please.
Answer:
56/45
Step-by-step explanation:
original problem
4/3 x (11/10 - 1/6)
to subtract fraction, we must have a commen denomentator, in this case, it, it would be 30
4/3 x (33/30 - 5/30)
now we can subtract
4/3 x (28/30)
and then multiply
56/45
6.04x10 minus 3 cubed
Answer: .00604
Step-by-step explanation:
Hope this helps
Slove this inequality
5+7x ≤ 26
Answer:
x<3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
7x+5<26
Step 2: Subtract 5 from both sides.
7x+5−5<26−5
7x<21
Step 3: Divide both sides by 7.
7x/7<21/7
x<3
Answer:
3
Step-by-step explanation:
Subtract 5 from both sides.
7x<21
7 goes into 21, 3 times.
Therefore, x<3
Write the equation of a line passing through the points (-2,0) and (7,9) in point-slope form.
Answer:
Y+0=1(x+2)
Step-by-step explanation:
Matt is purchasing a new tablet computer at a 20% markdown. After the discount is taken, the tablet is subject to a 6% state sales tax. How would you find the total amount Matt must pay after the markdown and tax?
Multiply the original price by 0.86.
First find the 20% markdown price and the tax on the original price, and then add the new price to the tax.
Find the tax, and then take 80% off the tax and the original price.
First find the 20% markdown price and subtract it from the original price. Then find 6% of the discounted price to get the tax. The tax plus the discounted price is the final price.
Answer:
First find the 20% markdown price and subtract it from the original price. Then find 6% of the discounted price to get the tax. The tax plus the discounted price is the final price.
Step-by-step explanation:
Answer:
its D on Edge
Step-by-step explanation:
2(x + 9) = 4(x - 7) + 2
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for x
Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22Step 3: Check
Plug in x to verify it's a solution.
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62
Answer:
x=22
Step-by-step explanation:
2x+18=4x-28+2
2x+12=4x-26
2x+44=4x
44=2x
22=x
which two features are part of a line graph
Answer:
Your answer is: 1) y-axis (vertical) 2) x-axis (horizontal)
Step-by-step explanation:
Hope this helped : )
if two is he same as to and too how are they different
Answer:
two is a number
too means in addition
to means motion in the direction
Step-by-step explanation:
Please help me!!!!!
in its expanded form a number includes three powers of 10 and a 5 that is worth a lot what might the number be?
Answer:
im here the answer is b for sure
Step-by-step explanation:
Which statement describes the sequence −9, −3, 3, 9, 15?
A. An arithmetic sequence with common difference −9
B. An arithmetic sequence with common difference 3
C. An arithmetic sequence with common difference 6
D. Not an arithmetic sequence
Answer:
C. An arithmetic sequence with a common difference of 6.
Step-by-step explanation:
A is incorrect because the common difference is not -9 (not constant).
B is incorrect because the common difference is not 3 (not constant).
C is the correct answer because the common difference is 6 (constant).
D is incorrect because this is an arithmetic sequence.
-------------------------------------------------------------------------------------------------------
-9 + 6 = -3
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
The common difference is +6 (positive 6).
Hope that helps!
Please give me Brainliest!?!?
The progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Given series is −9, −3, 3, 9, 15.
The common difference is calculated as,
-9 + 6 = -3
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
As above it is observed that with the common difference of 6 we found the series, −9, −3, 3, 9, 15.
Therefore, the progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
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A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!
hannon paid $57.25 for 28 pounds of potatoes. Shannon estimated the cost per pound to be $3.00. What is her error?
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits?
Answer and Step-by-step explanation:
Solution:
Set of values that are intensities of Ambers exercise during fourth, fifth and sixth visits:
63%, 63%,63%, 66%, 69%, 72%, 66%, 62%, 58%, 67%, 67%, 67%, 63%, 65%, 67%, 67%, 72%, 77%/
Program recommends a constant intensity for 3 visits,
Increasing intensity over 3 visits,
And decreasing intensity for 3 visits,
Set of values, which are intensities of Ambers exercise during fourth visits:
66%.
69%,
72%,
Set of values, which are intensities of Ambers exercise during fifth visits:
63%,
65%,
67%,
Set of values, which are intensities of Ambers exercise during sixth visits:
67%,
72%,
77%,
Its decreasing.
If 5x = -35, then find the value of -28 + 4x
Answer:
x=-7
Step-by-step explanation:
-28-28=-56
hope it will help you!!!!
mark as brainiest
Your local radio station is having their yearly music player and concert ticket giveaway For one minute every fifth called her will win a new player in every step of the college will win concert tickets you were just the first quality win both in music player in concert tickets what number was I ?
Complete Question:
Your local radio station is having their yearly music player and concert ticket giveaway For one minute every fifth called will win a new player and every seventh caller will win concert tickets you were just the first quality win both in music player in concert tickets what number were you ?
Answer:
The 35th person
Step-by-step explanation:
Given
[tex]New\ Player = 5th[/tex]
[tex]Concert\ Ticket = 7th[/tex]
Required
Determine your position
To do this, we simply need to take LCM of the given parameters;
[tex]5 = 1 * 5[/tex]
[tex]7 = 1 * 7[/tex]
The LCM is as follows:
[tex]LCM = 1 * 5 * 7[/tex]
[tex]LCM = 35[/tex]
Hence:
You're the 35th person
Simplify the following expression to simplest form using only positive exponents.
(32x^-15y^25)^-2/5
Answer:
[tex]\frac{x^{6} }{4y^{10} }[/tex]
Step-by-step explanation:
THIS is the answer if the equation looks like this. [tex](32x^{-15} y^{25} )^{-2.5}[/tex]
Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A
Answer:
$254.66
Step-by-step explanation:
225.45 + 12.55 = 238
7% of 238 = 0.07 × 238 = 16.66
16.66 + 238 = 254.66
1 2/2 dived by - 1/5
Answer:
-10
Step-by-step explanation:
1 2/2= 2
2/(-1/5)=(-10)
Answer:
-10
Step-by-step explanation:
1 2/2 / -1/5
2 × 5 / -1/5 × 5
10 / - 1
10 × -1 / -1 × -1
-10 / 1
-10
In a 30 pack of Skittles, 30% are red. How many Skittles are red?
Answer: 9 skittles are red
Answer:
9
Step-by-step explanation:
30/100×30
=3/10×30
=3/1×3
=9
What do I do for number 3
Answer:
31 yards
Step-by-step explanation:
25 yard + 6 yards = 31 yards
Which expression does the graphic represent?
○ 7-1
○ 7-(-1)
○ 8-1
○ 8-(-1)
Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)
D. 59.2 + (-84.7)
Answer:
D. 59.2 + (-84.7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Can someone help me please
Answer:
d is 90, angles on a straight line
e is 147, vertically opp angles
f is 33, any of the above rules.
1. Get a warm-up with the following Evaluate each expression for the given value of x. Do these without the aid of a calculator to practice your mental arithmetic. X-8 (a) 3x -8 for x=5 (b) 5(x+7)-1 for x=-3 +5 for x = 4 4
Answer:
A=7 B=19 C=6
Step-by-step explanation: