Answer:
[tex]y=-\frac{3}{2}x+12[/tex]
Step-by-step explanation:
Hi there!
We want to write the equation of a line parallel to y=[tex]-\frac{3}{2}x-1[/tex] and that passes through the point (4,6)
Parallel lines have the same slopes, but different y intercepts.
The slope of the equation [tex]y=-\frac{3}{2}x-1[/tex] is [tex]-\frac{3}{2}[/tex], since the equation is written in y=mx+b format (m is slope and b is y intercept), and [tex]-\frac{3}{2}[/tex] is in the place where m is.
It's also the slope of the line parallel to it.
So we know the slope of the new line, let's write it down:
y=[tex]-\frac{3}{2}x[/tex]+b
Let's find b, in order to complete the equation
Since the equation passes through the point (4, 6), we can use it to solve for b.
Substitute 4 as x and 6 as y into the equation:
6=[tex]-\frac{3}{2}[/tex](4)+b
Multiply
6=-6+b
Add 6 to both sides
12=b
Substitute 12 as b in the equation.
y=[tex]-\frac{3}{2}x+12[/tex]
Hope this helps!
What is the range of the relation
Answer:
option d) y is smaller than or equal 6
24. A newspaper advertisement offers a $4000 used car
for nothing down and 36 easy monthly payments
of $141.62. What is the simple interest rate?
43 37 35 30 41 23 33 31 16 21 what is
the mode
Answer:
31
Step-by-step explanation:
thx for the points
Mean (Average) 31
Median 32
Range 27
Mode All values appeared just once.
Geometric Mean 29.741208270684
Largest 43
Smallest 16
Sum 310
Count 10
Sorted Data Set: 16, 21, 23, 30, 31, 33, 35, 37, 41, 43
PLEASE DO IT SOON ITS NOT TO HARD 25 POINTS
Evaluate (1.4) to the power of 2
Answer:
1.96
Step-by-step explanation:
Evaluation: Calculate 1.4 to the power of 2 and you get 1.96
Factoring: 7^2/5^2= 1 24/25= 1.96 (7 to the power of 2 divided by 5 to the power of 2, which equals 1 and 24 over 25, which can be converted to 1.96)
For Incap T-shirts, the cost of producing x T-shirts can be expressed as C=0.6x2+0.52x+3200.
The revenue they gain can be expressed as R=100x.
At what value of x is the profit (R−C) maximised?
In other words, what is the ideal number of T-shirts to make and sell?
The value of x in which profit can be maximized is -43.67
Given:
C = 0.6x² + 0.52x + 3200
R = 100x
The profit maximizing value of x = R - C
= 100x - (0.6x² + 0.52x + 3200)
= 100x - 0.6x² - 0.52x - 3200
= 0.6x² + 99.48x - 3200
x = -b ± √b² - 4ac / 2a
= 99.48 ± √99.48² - 4×0.6×-3200
= -99.48 ± √9,896.2704 - 7680 / 1.2
= -99.48 ± √2,216.2704 / 1.2
= -99.48 ± 47.08 / 1.2
x = -99.48 + 47.08 / 1.2
or = -99.48 - 47.08 / 1.2
x = -52.4/1.2 or -146.56 / 1.2
x = -43.67 or -122.13
Therefore, the value of x is -43.67
Read more:
https://brainly.com/question/20344638
which two ratios form a proportion
Answer: Two equivalent ratios form a proportion. Equivalent ratios have the same value.
Carlos is a software salesman. His base salary is $2500, and he makes an additional $90 for every copy of History is Fun he sells.Let P represent his total pay (in dollars), and let N represent the number of copies of History is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 29 copies of History is Fun.
Answer:
2500 + 90N = P
if he sells 29 copies, his total pay is $5110
Step-by-step explanation:
HELPPPPPPP I CANT FIND THE MEAN
Answer:
The mean is the average of all the numbers
Step-by-step explanation:
Add all the numbers up and divide by how many numbers there are
Are the answers rounded to the nearest tenth?
Answer:
insert the image in the comment and ill tell you
Step-by-step explanation:
Nolan earns $211.50 for 9 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
what is (x-5)^2 in standard form
Answer:
[tex]x^{2}-10x+25[/tex]
Step-by-step explanation:
Distribute the x-5 into x-5 to get [tex]x^{2}-10x+25[/tex].
If the area is 230 and the width is 12 1/2 what is the length
Answer:
Step-by-step explanation:
length = area ÷ width
= 230 ÷ 12 1/2
= 230 ÷ 25/2
[tex]= 230*\dfrac{2}{25}\\\\= 46*\dfrac{2}{5}=\dfrac{92}{5}\\\\=18\dfrac{2}{5}[/tex]
MAN PLEASE STOP ANSWERING WIERD THINGSSS
GUYS PLEASE I ONLY HAVE A FEW MINUTES LEFT...
Answer:
100.8 cm
Step-by-step explanation:
The square root of 635 is 25.1992... or about 25.2
Because this is the length of 1 side, we multiply it by 4 to get the perimeter
25.2 · 4 = 100.8
Bobby and Jane are playing video games. Bobby's score is three times the difference between Jane's score and 5. The sum of their scores is 17. If x represents Janes score, write the equation that correctly represents the situation?
Answer:
x+3+5=17
Step-by-step explanation:
...……..............................................................
Specify the degree of the polynomial 3a2ab - 5a2b2b2 - 12a2b + 2a2b2 - 18
Step-by-step explanation:
if there is no typo, then it is 4th degree for b.
let's rewrite here what I can see :
3a²ab - 5a²b²b² - 12a²b + 2a²b² - 18
that is simplified
3a³b - 5a²b⁴ - 12a²b + 2a²b² - 18
the highest exponent is 4 for b.
and so, this is the degree of the polynomial.
3( 16 - x ) = 3 ( 6x + 4 ) - 9x
Answer:
x=3
Step-by-step explanation:
48-3x=18x+12-9x
36=12x
x=3
Answer:
x=3
Step-by-step explanation:
3( 16 - x ) = 3 ( 6x + 4 ) - 9x
48 - 3x = 18x + 12 - 9x
(combine like terms)
48 - 3x = 9x + 12
-48 -48
-3x = 9x - 36
-9x -9x
-12x= -36
÷-12 ÷-12
x= 3
Hope this helped you-have a good day bro cya)
Has to do with slopes please help
:-(( ˘︹˘ ) help plvv
Answer:
Its hard Step-by-step explanation:sorry
i neeed help on this ixl question
Answer: B' = (5,4) C' = (5,7) D' = (7,10)
Step-by-step explanation: If you look at the coordinate plane, you can see that the original coordinates of B,C and D are B = (-5,-2), C = (-5,1), and D = (-3,4). Since the coordinate plane tells us to go 10 to the RIGHT, we have to add by ten by the X coordinate. Since the X coordinate of B is -5, we have to add -5 by 10. -5 plus 10 is 5. When we add ten by the other X coordinates, we have B = (5, -2), C = (5,1), and D = (7,4). Now, the coordinate plane is telling us to go up by 6. Since it says up, we have to add all the y coordinates by 6. Eventually, you will have B' = (5,4) C' = (5,7) D' = (7,10), and that is your answer.
Raina has a rope that is 9 meters long. She cuts away a piece that is 5.93 meters long. How long is the remaining piece of rope?
Answer:
3.07meters
Step-by-step explanation:
9-5.93=3.07
what is 40% of 20 part whole and percent
Answer:
8 is the whole number
Percent is 0.08
Step-by-step explanation:
if 3x/4 - 13 = -9 then what is the value of x^2
Answer:
x² = [tex]\frac{256}{9}[/tex]
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] - 13 = - 9 ( add 13 to both sides )
[tex]\frac{3x}{4}[/tex] = 4 ( multiply both sides by 4 to clear the fraction )
3x = 16 ( divide both sides by 3 )
x = [tex]\frac{16}{3}[/tex]
Then
x² = ( [tex]\frac{16}{3}[/tex] )² = [tex]\frac{16^2}{3^2}[/tex] = [tex]\frac{256}{9}[/tex]
Which equation is not equivalent to
2x + 15 = 35?
A. 4/5x=8
B.2x-5=x+25
C.2x+7=27
D.4/3x=x+10/3
Answer:
B.2x-5=x+25
Step-by-step explanation:
2x+15=35 x = 10
4/5x=8 x = 10
2x-5=x+25 x = 30
2x+7=27 x = 10
4/3x=x+10/3 x = 10
which expression is equivalent to -11 - (-7)?
Answer:
B. -11+7
Step-by-step explanation:
A negative minus a negative turns into a positive.
Hope this helps!!
What is the midpoint of the segment with endpoints M(8, 12) and Q(3, 5)?
Answers are bellow
Answer:
answer will come soon pls wait
Step-by-step explanation:
also try solving it by yourself
be independent
What is 11/30.8 please help
Answer:
Decimal form to nearest hundredth= 0.36
percent form to nearest tenth= 35.7%
Improper fraction= 11/30.8
10^-2 in simplest rational exponent form
[tex]\bold{Heya~!}[/tex]
-----------------------------
ANSWER :[tex]= \frac{1}{100}[/tex]
EXPLANATION :
[tex]\sf{Apply~exponent~rule:}~a^-^b =\frac{1}{a^b}[/tex]
[tex]\sf{10~^-^2 =\frac{1}{10^2}[/tex]
[tex]\sf{10^2=100}[/tex]
[tex]\sf{= \frac{1}{100}[/tex]
[tex]\underline{\large \huge{\mathfrak{Hopefully~this~helps~you~!}}}[/tex]
[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
Ruth's Ice Creamery sold 50 sundaes last week. There were nuts on 22 of the sundaes. What is the ratio of the number of sundaes without nuts to the total number of sundaes?
Answer:
28:22
Step-by-step explanation:
Need help fast 40 points!
14−{6+2[−1(8−12)]2}
Answer:
answer is -8
Step-by-step explanation: do you want the steps ?
Which is the quadratic equation 3x = -5x2 + 12 in standard form?
The standard form of the given quadratic equation, [tex]3x =-5 x^{2} +12[/tex], is [tex]5x^{2} +3x-12 = 0[/tex].
According to the question,
We have the following quadratic equation:
[tex]3x =-5 x^{2} +12[/tex]
Now, we know that this quadratic equation is not in the standard form because the standard form of any quadratic equation is given as follows:
[tex]ax^{2} +bx+c = 0[/tex]
Now, to find the standard form of the given equation, we will move all the terms from the right hand side to the left hand side which will result in the change of their signs:
[tex]5x^{2} +3x-12 = 0[/tex]
(More to know: to find the roots of any quadratic equation, we can use the Quadratic formula.)
Hence, the standard form of the given quadratic equation, [tex]3x =-5 x^{2} +12[/tex], is [tex]5x^{2} +3x-12 = 0[/tex].
To know more about standard form here
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