Answer:
y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )
- 6y = - 8x - 12 ( divide terms by - 6
y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is
y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form
Show that 3x^2 -2x + 1 is always greater than 0.
( This is an Additional Math Question )
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
simplify (1+x)^3/2-(1+x)^1/2
please explain with steps
Answer:
Step-by-step explanation:
[tex]\sqrt{(1+x)^3} -\sqrt{1+x} \\\\=(1+x)*\sqrt{1+x} -\sqrt{1+x} \\\\=\sqrt{1+x} (1+x-1)\\\\=x\sqrt{1+x} \\\\[/tex]
Jessica paid $170 for an item that was originally priced at $260. What percent of the original price
did Jessica pay? Round your answer to the nearest tenth of a percent. Jessica paid
% of
the original price.
Answer:
260x = 170
x=170/260 * 100% = 65.4 %
Step-by-step explanation:
( show your work ) The banner that football players run through is 18 feet high and 30 feet long. How much paper is needed to
construct a banner ?
Answer:
540 square feet worth of paper
Step-by-step explanation:
This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.
what percent is 2 minutes 24 seconds of 1 hour
Pls explain with steps
..........................
two complementary angels are in the ratio 4:5, find the angles.
Answer:
1 st angle = 40
2 nd angle= 50
Step-by-step explanation:
let 1 st angle be 4x and 2 nd angle be 5x4x +5x =90 9x =90 x=90/9 x= 10Answer:
First angle = 40
Second angle = 50
Step-by-step explanation:
let 1st angle be 4x and 2nd angle be 5x
4x + 5x = 90 [Complementary means the sum of angles is 90]
=> 9x = 90
=> x = 90/9
=> x = 10
First angle = 4x = 4(10) = 40
Second angle = 5x = 5(10) = 50
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Step-by-step explanation:
17. 2(a+3b)-3(4a+b)
2a+6b-12a-3b
2a-12a+6b-3b
-10a+3b
correct answer is B.-10a+3b
18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)
3a³-6a³-7a²+4a²+8+a
-3a³-3a³+a+8
correct answer is D. -3a³-3a³+a+8
Please help me out solve it and tell me how you got that answer so I can understand please!
The solution for s in the given equation is [tex]s = C-nD[/tex]
The question seems to be incomplete
Here is the complete question:
Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex] Depreciation.
To solve for s, that means we should make s the subject of the equation
From the given equation,
[tex]D= \frac{C-s}{n}[/tex]
To solve for s, first multiply both sides by n to clear the fraction
We get
[tex]n\times D= n \times \frac{C-s}{n}[/tex]
Then,
[tex]nD = C - s[/tex]
Now, add s to both sides
[tex]nD + s= C - s+s[/tex]
[tex]nD+s = C[/tex]
Then, subtract nD from both sides
[tex]nD-nD+s = C-nD[/tex]
∴ [tex]s = C-nD[/tex]
Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]
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HelpITS DUE TMR PLZ HELP AHHHHHHHHH
Answer:
A. 1.50 x 12 = 13.5 for 12 gallons
B. i dont know sorry
C. 12.60 divided by 1.50 = 8.4 gallons
Step-by-step explanation:
find the value of x and y
The answer is in the above picture.
PLEASE HELP TURNING A SENTENCE INTO A EQUATION
44 is the product 4 and Greg's height. Use the variable g to represent Greg's height
Step-by-step explanation:
do you happen to have a photo reference your sentence is a bit confusing
Answer:
44 = 4 · g OR g · 4 = 44
Step-by-step explanation:
So first we need to know what a variable is...
A variable is an unknown number in a math sentence
Knowing that we can write the equation.
"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"
Since we do not know Greg's height that is what we will use variable g to substitute it.
"44 is the product 4 and g"
Now all we have to do is convert this into an equation
(Note: Whenever you see product of something know that it means that you need to multiply)
So your final answer is...
44 = 4 · g
(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)
Hope this helps :)
there are initially 1000 bacteria in a culture. The number of bacteria double each hour. the number of bacteria N present after t hours is given by N=1000 (2)t. how long will it take the culture to increase to 30,000 bacteria.
Answer:
FREEEEEEE POINTSSSSSSS
Step-by-step explanation:
please help me with this question
One-sixth of the smallest of three consecutive even
integers is three less than one-tenth the sum of the
other even integers. Find the integers. this
#49 with work pleasee
Answer:
The three even, consecutive integers are 72, 74, and 76.
Step-by-step explanation:
Let a be the first even integer.
Then the other two consecutive integers, b and c, will be represented by:
[tex]\displaystyle b = a + 2 \text{ and } \\ \\ c = b + 2 = (a + 2) + 2 = a + 4[/tex]
One-sixth of the smallest (that is, a) is three less than one-tenth the sum of the other two even integers (that is, b and c).
Therefore:
[tex]\displaystyle \frac{1}{6} a = \frac{1}{10}\left( b +c\right) - 3[/tex]
Solve for a. Substitute:
[tex]\displaystyle \frac{1}{6} a =\frac{1}{10}\left((a+2)+(a+4)\right) - 3[/tex]
Simplify and solve for a:
[tex]\displaystyle \begin{aligned} \frac{1}{6} a &= \frac{1}{10}(2a + 6) - 3 \\ \\ \frac{1}{6} a &= \frac{1}{5} a + \frac{3}{5} - 3\\ \\ -\frac{1}{30} a &= -\frac{12}{5} \\ \\ a &= 72\end{aligned}[/tex]
Hence, the first even integer is 72.
Therefore, the two other consecutive even integers must be 74, and 76.
In conclusion, the three even, consecutive integers are 72, 74, and 76.
What is the vertex of the parabola with the equation y=15x2+2x−8?
Answer:
a =15, b=2
Axis of Symmetry = [tex]\frac{-b}{2a}[/tex]
[tex]=\frac{-2}{2 * 15}[/tex]
= [tex]-\frac{1}{15}[/tex]
To find the y-value for the vertex sub in the axis of symmetry for x
[tex]y=15(-\frac{1}{15} )^{2}+2(-\frac{1}{15} )-8\\\\=-\frac{121}{15}[/tex]
∴ Vertex [tex](-\frac{1}{15}, -\frac{121}{15} )[/tex]
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Зу — 3x = 21
PLS HELP ASAP
Find the coordinates of the point 7/10 of the way from A to B.
Answer:
The coordinates are (6.5, 1.7).
Step-by-step explanation:
The difference between A and B's x-coordinate is 15. 7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.
The difference between A and B's y-coordinate is 11. 7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.
Therefore, the coordinates are (6.5, 1.7).
Question 3(Multiple Choice Worth 2 points)
Write the equation 4x – 3y = 12 in the form y = mx + b.
Oy = t - 4
o
y = 3x – 12
o
IN
Y
ft +4
Oy = -x - 4
Answer:
y = [tex]\frac{4}{3}[/tex] x - 4
Step-by-step explanation:
Given
4x - 3y = 12 ( subtract 4x from both sides )
- 3y = - 4x + 12 ( divide terms by - 3 )
y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b
Christine received a $15.00 gift card or a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B ( in dollars), on the card after buying x prints is given by the following function. B (x) = 15.00-0.07x. what is the remaining balance of the card if Christine bought 40 prints
Answer:
Remaining balance is $12.2
Step-by-step explanation:
see all steps in picture.
Round to the nearest hundred 16,537
Answer:
16,500
Step-by-step explanation:
thats it
what is seven over four as a mixed number?
Answer:1 3/4
Step-by-step explanation:
Answer:7/4=1 3/4
Step-by-step explanation:
it is like this,7,we can think of 8,which would 2,but it is 7,so we drop down to 1 whole.Then we have 3 remaining,which makes 1 and 3/4
8. What value added to x2
8x would complete the square?
-4
16
64
-16
Answer:
16
Step-by-step explanation:
x^2 -8x
Take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add 16
Given function, r(x) = x/3, determine value of x for when r(x) = - 2
Answer:
x = -6
Step-by-step explanation:
r(x) = -2
x/3 = -2
x = -2 * 3 = -6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
solve the equation
5(2x + 8) = - 33 +53
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
B is the midpoint of AC. If AB = x + 5 and AC = 3x - 6, find BC.
Hey there! I'm happy to help!
We see that at AB is halfway across our line. We see that AC is the total line.
So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.
We first will subtract our x values.
3x-x=2x
And then we subtract our numbers.
-6-5=-11
So, BC is 2x-11.
Have a wonderful day and keep on learning! :D
Answer:
21 unitsStep-by-step explanation:
Since B is the midpoint, we have:
AB = BC = AC/2Substitute and solve for x:
x + 5 = (3x - 6)/23x - 6 = 2x + 103x - 2x = 10 + 6x = 16Find BC:
BC = AB = 16 + 5 = 21Help plsssssssssssssssssss
(c+ d4)2 – (c + d), if c= -1 and d = 2
Answer:
224
Step-by-step explanation:
If c = 1 and d = 2:
(-1³ + 2⁴)² - (-1 + 2)³
(-1 + 16)² -(1)³
(15)² -1
225 -1
224
Express as a trinomial.
(x + 6)(2x + 4)
Answer:
2x²+16x + 24
Step-by-step explanation:
(x + 6) ( 2x + 4)
x ( 2x + 4) + 6 ( 2x + 4)
2x² + 4x + 12x + 24
2x² + 16x + 24
Hope this helps
The polynomial function [tex](x + 6)(2x + 4)[/tex] expressed as a trinomial is [tex]2x^2 + 16x + 24[/tex].
Given data:
The polynomial function is represented as A.
Now, the value of [tex]A=(x + 6)(2x + 4)[/tex].
On simplifying the equation:
From distributive property to multiply the terms:
[tex]A=x * 2x + x * 4 + 6 * 2x + 6 * 4[/tex]
[tex]A=2x^2 + 4x + 12x + 24[/tex]
On simplifying the equation:
[tex]A=2x^2 + 16x + 24[/tex]
Hence, the trinomial is [tex]2x^2 + 16x + 24[/tex].
To learn more about polynomial equations, refer:
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solve for x in the equation:
x^2 - x = 20
Janet has a $65 budget to buy paper goods and plastic cutlery for an impromptu birthday party. She determines that the paper goods will cost $37.50. How many sets
of cutlery can she purchase if each set costs $0.75?
Janet can purchase 36.67 sets of cutlery if each set costs $0.75.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Janet has $65 to spend on paper goods and cutlery, and the paper goods will cost $37.50,
So, she has $65 - $37.50 = $27.50 remaining to spend on cutlery.
Each set of cutlery costs $0.75,
So, Janet can purchase sets of cutlery :
⇒ $27.50 / $0.75
Apply the division operation, and we get
⇒ 36.67
Since it's not possible to buy a fraction of a set, Janet can only buy 36 sets of cutlery.
Therefore, she can purchase 36.67 sets of cutlery.
To learn more about the division operation click here :
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