Help please. what is 6=3x²
Answer:
x=√2 or x=−√2
Let's solve your equation step-by-step.
6=3x2
Step 1: Subtract 3x^2 from both sides.
6−3x2=3x2−3x2
−3x2+6=0
Step 2: Subtract 6 from both sides.
−3x2+6−6=0−6
−3x2=−6
Step 3: Divide both sides by -3.
−3x2
−3
=
−6
−3
x2=2
Step 4: Take square root.
x=±√2
x=√2 or x=−√2
Combine like terms.
2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y
ASAP
someone help please
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
3x 2 + 19 i think thats the answerWhich of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?
Step-by-step explanation:
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3|4w-1|-5=10
Please help meee!
Answer:
[tex]w=\frac{3}{2} ,-1[/tex]
Step-by-step explanation:
[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]
here we have two cases
the number that give an absolute value of 5 are 5 and -5
so we have
[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]
and the other case
[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]
At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?
Answer:
£15.75
Step-by-step explanation:
£145.50 - £129.75
Answer:
The shop keeper made 15.75$ in an hour.
Step-by-step explanation:
Minus 129.75-145.50
Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
It's given that ∠AOB ≅ ∠COD
therefore, m∠AOB = m∠COD
Now from the given measures of the equal angles,
9x - 5 = 6x + 10
9x - 6x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x = [tex]\frac{15}{3}[/tex]
x = 5
Therefore, measure of the angles given in the picture will be,
m∠AOB = (9x - 5)° = 40°
m∠BOC = (2x + 11)° = 21°
m∠COD = (6x + 10)° = 40°
Answer:guy who answered first is wrong the answer is x = 9
Step-by-step explanation:
(a 2− b) ÷ 6; use a = 5, and b = 1
Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.
Answer: y=1/4x + 4
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6 and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.
(-4,3) the x coordinate is -4 and the y coordinate is 3
3 = 1/4(-4) + b
3 = -1 + b
+1 +1
b= 4
The y intercept is 4 so the equation will be y=1/4x + 4
Which term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.
Answer:
The solution to a multiplication problem is called a product.
Step-by-step explanation:
Solve the system of equations below.
Answer:
B
Step-by-step explanation:
So we have the system of equations:
[tex]x-2y=3\\2x-3y=9[/tex]
To solve, we can use the substitution method. First, add 2y to both sides in the first equation:
[tex]x=3+2y[/tex]
Now, substitute this into the secon equation:
[tex]2(3+2y)-3y=9[/tex]
Distribute the 2:
[tex]6+4y-3y=9[/tex]
Combine like terms:
[tex]6+y=9[/tex]
Subtract 6 from both sides:
[tex]y=3[/tex]
So, the value of y is 3.
Substitute this back into the original equation to find x. Thus:
[tex]x=3+2(3)[/tex]
Multiply:
[tex]x=3+6[/tex]
Add:
[tex]x=9[/tex]
So, our answer is (9,3)
And we're done!
6x>-18 HELPPPPP!!! PLEASEEEE
Answer:
Hey there!
6x>-18
Divide by 6 on both sides
x>-3
Let me know if this helps :)
Ifj=k, then k =j what is the property?
Answer:
See below.
Step-by-step explanation:
So we have:
[tex]\text{if }j=k\text{ then } k=j[/tex]
This is an example of the symmetric property. The equation remains true every if you flip them.
Pls help me quickly
Answer:
[tex] {9}^{3} [/tex]
Step-by-step explanation:
[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]
List the following numbers in descending order.
13.5%, 1315, 13.09, 13
Answer:
1315, 13.09, 13, 13.5%.
Step-by-step explanation:
13.5% is less than 1 because 100% = 1.
(01.05 MC)Which fraction is equivalent to 2 over negative 6?
Answer:
1/(-3)
Step-by-step explanation:
Simplify the following:
2/(-6)
Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.
The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):
Answer: 1/(-3)
HELP PLEASE this is for math
Answer:
70
Step-by-step explanation:
Step 1:
a² + b² = c²
Step 2:
56² + 42² = 4900
Step 3:
4900 ÷ 70 = 70
Answer:
70
Hope This Helps :)
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
Simplify 2squareroot -19+44
-19+44
-361+1936
1575
therefore 2 squareroot-19+44
=1575
Write the three next natural numbers after 10999
Find the error american car produce 5,650,000 cars each year.In a report,ben wrote that americans made 6,550,000 cars.What mistake did ben make how can he fix it
Answer:
The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.
He can fix it by correcting the wrong numbers.
Step-by-step explanation:
American car produce 5,650,000 cars each year.
When writing a report Ben wrote down that americans produce 6,550,000 cars every year
Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.
Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.
Hence, doing this will give him the correct number of cars which is 5,650,000 cars.
Please help me simplify this equation!
It the twelvth,85th and the last term of an arithmetic sequence are 38,257 and 395 respectively. Calculate how many terms are there in the sequence
Answer:
131
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 38 and a₈₅ = 257 , then
a₁ +11d = 38 → (1)
a₁ + 84d = 257 → (2)
Subtract (1) from (2) term by term
73d = 219 ( divide both sides by 73 )
d = 3
Substitute d = 3 into (1)
a₁ + 11(3) = 38
a₁ + 33 = 38 ( subtract 33 from both sides )
a₁ = 5
Thus
5 + 3(n - 1) = 395 ( subtract 5 from both sides )
3(n - 1) = 390 ( divide both sides by 3 )
n - 1 = 130 ( add 1 to both sides )
n = 131
Thus there are 131 terms in the sequence
Evaluate: 1/3(-15 + 3/2)
Answer:
-4.5 is correct answer
Step-by-step explanation:
[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]
hope it helped you:)
which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4
Need help!!
Answer:
5/4
Step-by-step explanation:
1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.
The fraction 5/4 does not belong to.
What is a fraction?A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.
The numerator is the number top of the fraction. While the denominator is the number below of the fraction.
for example, a fraction is = 3/8
where 3 is the numerator while 8 is the denominator
A proper fraction is a fraction in which the numerator is smaller than the denominator in value .
For an example is 3/7
An improper fraction is a fraction in which the numerator is greater than the denominator in value.
For an example is 7/3
Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)
But 5/4 is an improper fraction as numerator is greater than the denominator in value.
So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.
Learn more about proper and improper fraction
here: https://brainly.com/question/2445936
#SPJ2
Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer
Answer:
yes because 0.5 is 50%
Step-by-step explanation:
Naja is paid p dollars per hour she works. For every hour she works over 40 hours, she is paid time and a half which means she is paid 1.5 times her normal hourly rate. She worked 50 hours last week. The following is a model of this situation.
Answer:
40p + 10 (1.5p)
Step-by-step explanation:
= 40 · p + (50-40) · (1.5p)
= 40p + 10 (1.5p)
drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week
Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week
Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.
Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours
i hope this helps you good luck :)
Write the inverse of h(x) = e 2x
h -1(x) =
log e2 x
2log ex
½log ex
Answer:
C
Step-by-step explanation:
We are given the function.
[tex]h(x)=e^{2x}[/tex]
And we want to find its inverse.
Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:
[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]
In conclusion, our answer is C.
Note:
[tex]\ln(x)=\log_ex[/tex]
Which value of y makes the equation 16 -y = 11 true?
Answer:
16-5=11
Step-by-step explanation:
Round 452,489 to the nearest thousand.
O 500,000
0 453,000
450.000
452.000