Answer:
y= -4x-24
Step-by-step explanation:
change in y/change in x = 0- -24/-6-0 = 24/-6 = -4
gradient is -4
then you put a set of coradinates into the formular y-y=m(x-x)
y - 0= -4 (x+6)
y-0=-4x-24
y=-4x-24
Answer:
4x +y = -24
Step-by-step explanation:
The given points are the x- and y-intercepts. It is convenient to write the equation in intercept form:
x/a +y/b = 1 . . . . . . x-intercept 'a', y-intercept 'b'
x/-6 +y/-24 = 1 . . . . . equation in intercept form
4x +y = -24 . . . . . . . equation in standard form (multiply by -24)
a boat is 180 in Long in private plane is 85% longer than the boat how long is the plane
Answer:
The length of the plane is 333 in.
Step-by-step explanation:
Plane length = (1.85)(Boat length)
The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.
Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in
The length of the plane is 333 in.
Which statement is true regarding the functions in the graph?
F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)
help me on this please
Answer:
1: AOB is 180 degrees 2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15
Step-by-step explanation:
x = 15
Add up 5x - 15 + 90 + 2x = 180 degrees
FOG = 90 degrees (right angle)
Combine like terms to get 7x + 75 = 180
subtract 75 on both sides to get 7x = 105
Divide both sides by 7 to isolate x to get x = 15
Substitute 15 for every x you see so 5(15) - 15 and 2(15)
5(15) - 15 = 60
2(15) = 30
Hope this works!!! :)
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?
Answer:
32 dollars
Step-by-step explanation:
Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?
You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?
A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y
25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
A similar image that is 10 times bigger write the rule
Answer:
× times 10
Step-by-step explanation:
that image times 10
PLS HELP ME 20 points in total if it let me pick brainlist
Answer:
Its D because the 1=1 and 2=2 + Fish
Step-by-step explanation:
Population Growth Using 20th-century U.S. census data,
the population of Ohio can be modeled by
12.79
P(1) =
1 + 2.402,-0.0309
where P is the population in millions and r is the number of
years since April 1, 1900. Based on this model, when was the
population of Ohio 10 million?
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:
[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]
P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t
[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]
t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
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An item is on sale for 30% What would the new cost be if the item was originally $275
Answer:
$192.5
Step-by-step explanation:
$275÷10=27.5
27.5×3=82.5
275-82.5=192.5
PLEASE HELP ME ASAP TYSM
The sale price is 85% of the regular price.
-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.
100-15=85
Answers:
- Sale price: $25.50
-85%of 100%
-Discount: 15%
-$4.50
You can check by the following:
30-25.5=4.5
30-4.5=25.5
4.5+25.5=30
25.5+4.5=30
100-15=85
100-85=15
85+15=100
15+85=100
(Brainliest?) ^^
Dan earns £300 over the course of a five-day week. How much is that per day?
Answer:
£60 per day
Step-by-step explanation:
1 week = 5 days
Dan earned = £300
therefore 1 day = 300 ÷ 5 = £60 per day
need a step by step explanation pls help me
Answer:
This is my guess...
"Even today, the need for work is a common reason people move to urban areas."
Step-by-step explanation:
The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.
1/4 (-16x +8) distributive property
[tex] - 4x + 2 \\ \\ [/tex]
sales tax is 7% what is the amount of sales tax you would pay this bill
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
solve pls brainliest
Answer:
mixed no. 51/10
Improper fraction 5/1/10
5. The function f(x) is shown in this graph.
The function g(x) = -3x - 1. Compare the slopes by writing "less than, "greater than," or "equal to" in the blank.
The slope of f(x) is ______ the slope of g(x).
Answer:
The slope of f(x) is greater than the slope of g(x)
Here is:
https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link
What is 2 1/4 divided by 4 2/3
Answer: (27/56)
Step-by-step explanation:
(2 1/4)/(4 2/3)
(9/4)/(14/3) [Convert the integers on both sides to leave just fractions.
(9/4)*(3/14) [Invert the denominator and multiply times the numerator]
(27/56)
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]
convert the mixed number to an improper fraction[tex] \frac{9}{4} \div \frac{14}{3} [/tex]
to divide by a fraction, multiply the reciprocal of that fraction[tex] \frac{9}{4} \times \frac{3}{14} [/tex]
multiply the fraction[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]
hope it helps[tex] \: \: \: \: \: \: \: \: \: [/tex]
The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?
Answer:
g(x) = -16^x + 8
Step-by-step explanation:
This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:
f(x)=16^x becomes g(x) = -16^x + 8
In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
Express (5a3n)3 with positive exponents.
Answer:
45an
Step-by-step explanation:
1st. (5a × 3n) × 3
2nd. Multiply the monomials
3rd. after doing that you get 45an
From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole
Answer:
4.75 feet
Step-by-step explanation:
Let the height of the flagpole be x
Sin 53 = x/12
x = 12 × Sin 53
x = 12 × 0.3959
x = 4.75 feet
Answer:
15.9
Step-by-step explanation:
The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.
Tan 53 = X
--------
12
To get rid of the 12 multiply both sides of the equation by 12. so
Tan 53 x 12 = X/12 x 12
Tan 53 x 12= X
X= 15.9
solve pls brainliest
Answer:
1. yes
2.yes
3. no
4. no
5. no
Please help me I don’t know how to solve this
|5z+1| >14
Solve the inequality and enter your solution as an inequality.
8 + x>4
if any concerns or questions on solution, just comment
What is the slope-intercept form of the linear equation 2x - 8y = 32?
(Don't forget to simplify fractions if possible)
Answer:
y = 1/4x + 4
Step-by-step explanation:
2x - 8y = 32
-2x -2x
-8y = -2x + 32
divide everything by -8
so that y becomes positive
answer : Y = 1/4x + 4
The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.
Let's rearrange the given equation to solve for y:
2x - 8y = 32
Subtract 2x from both sides:
-8y = -2x + 32
Divide both sides by -8:
y = (2/8)x - 4
Simplifying further, we get:
y = (1/4)x - 4
So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Learn more about linear equation click;
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Identify the slope and y-intercept of the
equation 2x + 5y = 20
Answer:
Slope = - ⅖
Y-intercept = (0, 4), where b = 4
Step-by-step explanation:
Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:
Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.
Subtract 2x from both sides:
2x -2x + 5y = - 2x + 20
5y = -2x + 20
Divide both sides by 5 to isolate y:
[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]
y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).
Find x in terms of the other letters a( x + b ) = c( x + d )
Answer:
[tex]x=\frac{cd-ab}{a-c}[/tex]
Step-by-step explanation:
The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.
First step is to distribute the a and c on either side,
ax+ab=cx+cdSubtract cx from both sides,
ax+ab-cx=cdNext, subtract ab from both sides,
ax-cx=cd-abThen, factor out x from the left side,
x(a-c)=cd-abFinally, divide both sides by a-c,
[tex]x=\frac{cd-ab}{a-c}[/tex](sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²xfind three rational numbers between -1/2 and 1/2
Answer:
-1/4, 1/8 and 1/5.
Step-by-step explanation: