Answer:
The equation of line parallel to given line passing through (8,-7) is:
[tex]y = -\frac{5}{4}x+3[/tex]
Step-by-step explanation:
Given line is:
5x+4y=16
first of all, we have to convert the equation of given line in slope-intercept form
[tex]4y = -5x+16[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4[/tex]
Slope intercept form is:
[tex]y=mx+b[/tex]
The slope of given line is:
[tex]m = -\frac{5}{4}[/tex]
Let m1 be the slope of line parallel to given line
"The slopes of two parallel lines are equal"
[tex]m = m_1\\m_1 = -\frac{5}{4}[/tex]
The equation of line parallel to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of slope
[tex]y = -\frac{5}{4}x+b[/tex]
Putting the point (8,-7) in the equation
[tex]-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3[/tex]
Putting the value of b
[tex]y = -\frac{5}{4}x+3[/tex]
Hence,
The equation of line parallel to given line passing through (8,-7) is:
[tex]y = -\frac{5}{4}x+3[/tex]
Please help me!!!!!!!!!
Write 3729 correct to the nearest hundred.
Answer:
3700 is the result of rounding 3729 to the nearest 100.Step-by-step explanation:
Answer:
3700
Step-by-step explanation:
3729
the 7 hundredth and 2 is before so you go downwards and it 3700
:) :) :) :) :) ;0 ;0 ;0 ;0 ;0
Answer:
What is the question?????????\
Step-by-step explanation:
Find the arithmetic mean between 35 and -9?
A piece of land is 8 1/2 miles wide. It is 4 7/8 times as long as it is wide. How long is the piece of land.
Answer:
[tex]Length = 41\frac{7}{16}[/tex]
Step-by-step explanation:
Given
[tex]Width = 8\frac{1}{2}[/tex]
[tex]Length = 4\frac{7}{8}[/tex] times as long as the width
Required
Determine the length
To do this, we simply multiply the length by [tex]4\frac{7}{8}[/tex]
So, we have:
[tex]Length = 4\frac{7}{8} * Width[/tex]
Substitute [tex]8\frac{1}{2}[/tex] for width
[tex]Length = 4\frac{7}{8} * 8\frac{1}{2}[/tex]
Convert to improper numbers
[tex]Length = \frac{39}{8} * \frac{17}{2}[/tex]
[tex]Length = \frac{39*17}{8*2}[/tex]
[tex]Length = \frac{663}{16}[/tex]
[tex]Length = 41\frac{7}{16}[/tex]
Is it a function ?
{(0,1), (2,4), (0,-2), (9,10)}
PLEASE HELP IT’S TIMED
Answer:
a = -
b = -
c = 9
d = 3
e = 3
f = 2
Step-by-step explanation:
First we will solve the expression:
[tex]\frac{3x}{2x-6}+\frac{9}{6-2x}[/tex]
Solving:
First we will take negative sign common, then take LCM of denominator and simplify the expression.
[tex]=\frac{3x}{2x-6}+\frac{9}{\textbf{-}(2x-6)}\\=\frac{3x}{2x-6}+\frac{\textbf{-}9}{(2x-6)}\\Taking\:LCM\\=\frac{3x-\mathbf{9}}{2x-6}\\=\frac{\mathbf{3}(x-\mathbf{3})}{\mathbf{2}(x-3)}\\=\mathbf{\frac{3}{2}}[/tex]
So, After solving we get:
a = -
b = -
c = 9
d = 3
e = 3
f = 2
The value of a car decreases by 15% for each year the car is leased. If the original price of
the car was $15,000 what is the value of the car once it was leased for 4 years?
Answer:
Around 7830 dollars
Step-by-step explanation
Times 15,000 by 0.85, you'll get 12,750. Times each product by 0.85 and you'll get around 7830 dollars
Find the Slope & Y-intercept
2x 5y = 18
Answer:
the slope is -2 and the y intercept is 18
A line has a slope of -3/4 and passes through the point (-5, 4). Which is the equation of the line? A.y=-3/4x+1/4 B.y=-3/4x+4 C.y=-3/4x-2 D.y=-3/4x-1/4
Answer:
A
Step-by-step explanation:
y-4= -3/4(x+5)
-3/4x-15/4=y-4
-3/4x+1/4=y
Describe how the graph is related to the graph of y = lxl.
Answer:
The graph is 1 unit shift to right of y = lxl
Step-by-step explanation:
horizontal shift to right 1 unit of y = lxl
In the first four months of the year, Noralie’s jewelry sales were declining. After April, her sales began to improve. Which of the following tables of data represents Noralie’s jewelry sales if the sales are represented by the following function?
Answer:
Option D
Step-by-step explanation:
Sales of Noralie's jewelry were on a decline for the first four months.
After April, the sales started improving.
Given the function to represent the sales:
[tex]y=\left \{ {{-x+8}\ if\ x<4 \atop {x} \ if\ x\geq 4} \right.[/tex]
To find:
The table from the answer options that represent the answer.
Solution:
From the options, it can be clearly seen that value of [tex]x[/tex] is 2, 4, 6, 8, 10, 12.
Let us put the values one by one and then check the value of [tex]y[/tex].
[tex]x = 2,\ y = -2+8 = -6\\x = 4\, y = x = 4\\x = 6,\ y = x = 6\\x = 8,\ y = x = 8\\x = 10,\ y = x = 10\\x = 12,\ y = x = 12[/tex]
Therefore, the answer table is:
[tex]\begin{center}\begin{tabular}{ c c}x & y \\ 2 & -6 \\ 4 & 4 \\ 6 & 6 \\ 8 & 8 \\ 10 & 10 \\ 12 & 12 \\\end{tabular}\end{center}[/tex]
Please help. please
Toms house cost 205000 in the year 2015 in 2021 he sold his house for 370000 what was the percentage of change in the price of the house
9514 1404 393
Answer:
80.5%
Step-by-step explanation:
The percentage change can be found from ...
percent change = (change)/(original value) × 100%
= (370000-205000)/205000 × 100%
= 165/205 × 100%
≈ 80.49%
The change in the price of the house was about 80.5%.
Let x = 4. Evaluate the expression.
x−3
Answer:
Its 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Subtract 3 from 4
polynomials! i don't understand, if you know how to do this can you give a brief explanation? <3
Answer:
Step-by-step explanation:
(C). 4a³ + 24ab² - 25b³
Which is the input value produces the same output value for the two functions on the graph ?
Answer:
X = - 2
Hope it's help you.... ^_^
A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays?
Answer:
512.45
Step-by-step explanation:
312+199.95=512.45
What are the functions?
Answer:
A,and C!!Always use the line test. draw lines through the lines in the graph and see if any line, lines up. (It should never line up if it's a function.E is a function because none of the dots are lined up.D is not a function because it has 2 dots that makes a line (2 dots are lined up) and B is intersecting
what Should be added To -6(-p-1) to get 3p³+5p²+6p-2?
Answer:
3p³ + 5p² - 8
Step-by-step explanation:
Given:
6p - 2
-6(-p-1) = 6p + 6
Subtract 6p + 6 from 3p³ + 5p² + 6p - 2 get your answer
= 3p³ + 5p² + 6p - 2 - (6p + 6)
= 3p³ + 5p² + 6p - 2 - 6p - 6
= 3p³ + 5p² - 8
3p³ + 5p² - 8 Should be added To -6(-p-1) to get 3p³+5p²+6p-2
A pack of pencils contain a dozen pencils.450 such packs were put in a carton. If there are 25 such cartons, find the total number of pencils.
Answer:
135000
Step-by-step explanation:
Given: A pack of pencils contain a dozen pencils. 450 such packs were put in a carton. There are 25 such cartons.
To find: total number of pencils
Solution:
Total number of pencils in a pack = 1 dozen = 12
Total number of packs = 450
Total number of cartons = 25
Total number of pencils = 12 × 450 × 25 = 135000
So, total number of pencils is 135000.
Kelsey solved the following equation 7x-1/2(8x+2)=6
Answer:
A
1. Distribution.
7x-4x-1=6
2. combine like terms
3x-1=6
3. addition property of inequality
3x=7
4. Division property of inequality
x=7/3 or 2.3333333333333333333334
Hope this helps plz hit the crown :D
Answer:
A)
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Sarah has 4 cousins. Melanie has 7 times as many cousins as Sarah. How many Cousins dose Melanie have?
Answer:
Melanie has 28 cousins.
Step-by-step explanation:
4 x 7 = 28
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Numerical problems:
a.
Convert 300 K into the celsius scale.
b
Convert 220 °C into kelvin scale.
Convert 30 °C into fahrenheit scale.
d. Convert 260 °F into °C.
Answers
8. a. 27 °C
b. 493 K
c. 86 °F
d. 12.67 °C
The art club has 12 members. Each member is required to buy a t-shirt that costs $12.50. On the 3rd day of the month, 9 members paid for their shirts. The remaining members paid for their shirts on the 4th day of the month. How much money was collected on the 4th day of the month?
Answer:
$37.50
Step-by-step explanation:
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
MAP TESTING HELP
Find the amount of simple interest that $400 would earn at 8% per year by the end
of 3 1/2 years.
A. $96
B. $11, 200
C. $3200
D. $112
O E. $32
Answer:
E is the answer
Step-by-step explanation:
hope it is helpful
Write as a single fraction in its simplest form
(2x-1/3) - (2/x+1)
With steps plz :))
[tex](2x - \frac{1}{3} ) - ( \frac{2}{x} + 1)[/tex]
[tex]2x - \frac{1}{3} - \frac{2}{x} + 1[/tex]
[tex](2x - \frac{2}{x} ) + ( - \frac{1}{3} + 1)[/tex]
[tex] (\frac{2 {x}^{2} }{x} - \frac{2}{x} ) + ( \frac{ - 1}{3} + \frac{3}{3} )[/tex]
[tex] \frac{2 {x}^{2} - 2 }{x} + \frac{ - 2}{3} [/tex]
We want to write the given expression as a single fraction. We will get the fraction:
[tex]\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
Rewriting the expression.
So we start with the expression:
[tex](2*x - \frac{1}{3}) - (\frac{2}{x} + 1)[/tex]
First, let's rewrite each of these parenthesis as fractions, we need to have the same denominator in all the terms, then in the first one we can multiply and divide by 3 (and in the second one we can do the same but with x) so we get:
[tex](\frac{3}{3} *2*x - \frac{1}{3}) - (\frac{2}{x} + 1*\frac{x}{x} )\\\\(\frac{6*x}{3} - \frac{1}{3}) - (\frac{2}{x} + \frac{x}{x} )\\\\\frac{6*x - 1}{3} - \frac{2 + x}{x}[/tex]
Now we must multiply and divide the left term by x, and the right term by 3, so we get:
[tex]\frac{x}{x} \frac{6*x - 1}{3} - \frac{2 + x}{x}*\frac{3}{3} \\\\\frac{6*x^2 - x}{3*x} - \frac{6 + 3x}{3*x} = \frac{6*x^2 - x - 3x - 6}{3*x}\\\\\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
This is the fraction in its simplest form.
If you want to learn more about fractions you can read:
https://brainly.com/question/11562149
Multiply
please hurry
Answer:
95.76
Step-by-step explanation:
4.2x5.6x1.7x2.4
23.52x1.7x2.4
39.9x2.4
95.76
Answer: 72[tex]\sqrt\\ 2[/tex]
Step-by-step explanation:
HELP MEEEEE PLEASEEEE
Answer:
0.0036 i think this is the answer. I don't really know.