Answers
The first thing you should do for this case is clear and equation.
Clearing we have:
Step 1:
5x - 12 = 4y
Step 2:
y = (5x - 12) / (4)
Step 3:
y = (5/4) x - 3
Step 4:
See attached graph.
Answer:
y = (5/4) x - 3
Related Questions
Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!
Answers
[tex] 8\frac{1}{3} [/tex] = [tex] \frac{25}{3} [/tex]
[tex]2 \frac{1}{3} [/tex] = [tex] \frac{7}{3} [/tex]
8.1 = [tex] \frac{81}{10} [/tex]
(When you divide by a value/fraction, you can multiply by its reciprocal)
[tex] \frac{25}{3} [/tex] × [tex] \frac{1}{x} [/tex] = [tex] \frac{7}{3} [/tex] × [tex] \frac{10}{81} [/tex]
[tex] \frac{25}{3x} [/tex] = [tex] \frac{70}{243} [/tex]
We can cross multiply :)
25 × 243 = 3x × 70
6075 = 210x
We can divide by on either side to isolate x and thus find its value
[tex] \frac{6075}{210} [/tex] = [tex] \frac{210x}{210} [/tex]
210 and 210 cancels out on the right-hand side
[tex] \frac{405}{14} [/tex] = x
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Answers
Explanation:
Translate the english language to mathematical (algebraic) language.
This implies to define the variables and translates the statements into equations.
1) Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.
Cost = price of the mp3 player + price each song * number of songs
Variables:
number of songs: n
price each son: $3.25
price of the mp3 player: $ 18.00
Cost: c(n), this means that the cost is a function of n.
c(n) = 18 + 3.25n
2) King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Using the same procedure used for Adventure Play case:
c(n) = 23 + 2n
3) Equal cost =>
18 + 3.25n = 23 + 2n
=> 3.25n - 2n = 23 - 18
=> 1.25n = 5
=> n = 5 / 1.25
=> n = 4
Answer: the cost will be the same for 4 songs.
Answer:
4 songs
Step-by-step explanation:
The line through (8, 0) with slope -3/4 in slope-intercept form
Answers
What power do you raise a number to to get the square root of it?
Answers
"(1/2)" exponent.
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
Answers
The measure of one angle in an octagon is 135.625 degrees.
Explanation:Let's denote the measure of one angle as x.
Since there are eight angles in an octagon,
the sum of all the angles in the octagon is 180(x) + 7(2x) = 180x + 14x = 194x.
We know that the sum of the angles in any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.
Therefore, 194x = (8-2) × 180. Solving this equation,
we find that x = 135.625. So, the measure of each angle is 135.625 degrees.
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The graph illustrates a reflection of abc . What line is abc reflected across to create a'b'c'?
Answers
The least common denominator of two fractions is 30. If you add the two denominators, their sum is 17. What are the denominators?
Answers
x*y=30
It should be 15 and 2
50 POINTS AND BRAINLIEST!!! QUICK
3. At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answers
R = outside radius
r = inside radius
equation: ( pi*R^2) - (pi*r^2)
B)
3.14 x 11^2 - 3.14 x 9^2
379.94 - 254.34 = 125.6 square meters
379.94 - 254.34 = 125.60 area of sidewalk
Hope it helps
50 POINTS!!!! NEED HELP!!! 2 QUESTIONS!!!! please answer correctly. i begging u
♦Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.
♦Rachel, a 45-year-old female, bought a $120,000, a 20-year life insurance policy through her employer. Rachel is paid biweekly. How much is deducted from each of her paychecks for life insurance? Use the Table.
Answers
Rachel's checks I believe would have a deduction of $63.14.
♦Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.
Dawson is 42, with a 20 year premium coverage, which will amount to $13.68 per $1000. Multiply $13.68 with 180 (because there are 180 $10,000)
13.68 x 180 = $2462.40
annual premium = $2462.40
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To solve the next one, Rachel bought a 20 year life insurance, which amounts to $17.56 per $1000
$63.14 is your answer
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hope this helps
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?
The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.
Answers
We know that the graph of f(x) is NOT widened, because for a number c greater than 1, cf(x) stretches the graph vertically, not horizontally.
We know that the graph of f(x) is NOT shifted up 30 units. It is tempting to say this because we do see +30 as the last term. But, we have to calculate the vertex of g(x). If we find the point [tex]P( \frac{-b}{2a}, g(\frac{-b}{2a}))[/tex], that is, by taking doing [tex] \frac{-24}{2*4} = -3[/tex], [tex]g(-3)=-6[/tex], we see that the vertex is six units down from f(x), not 30 units up!
We know that the graph of f(x) is NOT reflected over the x-axis, because there would need to a negative coefficient on the [tex]x^2[/tex]-term, and there isn't.
We know that the graph of f(x) IS shifted 3 units to the left. When we calculated the vertex earlier, we saw that it is [tex](-3,6)[/tex], which indeed corresponds to a shift 3 units to the left from the origin.
The graph of f(x) = x2 is shifted left 3 units.
helpppppppppppppppppppppppp
Answers
We can write it as:
[tex] \sqrt{-1} \times \sqrt{80} [/tex]
Apply imaginary number rule:
[tex] \sqrt{-1} =i[/tex]
We get
[tex] =\sqrt{80} i[/tex]
Now factorise 80.
80=4 x 4 x 5 = 4² x 5
[tex] \sqrt{80}i = \sqrt{4^2 \times 5} i [/tex]
[tex] =\sqrt{4^2} \times \sqrt{5} i \\ =4 \sqrt{5} i[/tex]
[tex]Answer: \ 4 \sqrt{5} i[/tex]
We then have to rewrite:
root (-80)
root (- (16 * 5))
4raiz (-5)
Then remember that:
Root (-1) = i
We have then:
4raiz (5) i
Answer:
The equivalent expression is:
4raiz (5) i
(option 3)
Find the equation for the line that passes through the point (1, 3), and that is perpendicular to the line with the equation −3x − 4y = 13.
Answers
-3 - 12 = 13
-15 = 13
A small tree was planted at a height of 10 feet. The tree has been planted for 14 months, and is now 49.2 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?
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How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
Answers
Cylinder Volume = 3.14159 * 12 * 12 * 30
Cylinder Volume = 13,571.67 cubic feet
The vertical height of a right circular conical tent is 4m and the volume of space inside it is 968/7 cubic metre. Find the canvas required to make the tent.
Answers
v = 1/3 * height * area of the base
= 1/3 ×hπr²
where v - volume
h - height of the conical tent
r - radius of base circle
area of the base = 3v/h
πr² = 3 *968/7 m³ /4 m
r² = 3 * 968 * 7 / (7 * 22* 4 )
= 33
r = 5.74 m
area of the curved surface = πrl
where l is the slant height
l² = r² + h²
= 5.74² + 4²
= 33 + 16
= 49 m
l = 7 m
then the area of the curved surface is ;
area = πrl
= (22/7) * 5.74 * 7
= 126.28 m²
the canvas should have area 126.28 m² to cover the tent
What is the sum of the first 7 terms of the series −8+16−32+64−
Answers
The terms given are
- 8 , + 16 , - 32 , + 64
The formula for finding the sum of this geometric sequence is:
Sn = [tex] \frac{a1(r^n - 1)}{r -1} [/tex]
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7
Sn = [tex] \frac{-8((-2)^7 - 1)}{-2-1} [/tex]
= -344
There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums
Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2
+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512
( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344
What is general form of equation of a circle with center at (a,b) and radius of length m?
Answers
The general form of the equation of a circle with centre at [tex]\((a, b)\)[/tex] and radius [tex]\(m\)[/tex] is: [tex]\[ x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \][/tex].
The general form of the equation of a circle is [tex]\( (x - h)^2 + (y - k)^2 = r^2 \)[/tex], where [tex]\((h, k)\)[/tex] represents the centre of the circle and [tex]\(r\)[/tex] represents the radius.
If we expand and rearrange this equation, we get [tex]\( x^2 + y^2 - 2hx - 2ky + (h^2 + k^2 - r^2) = 0 \)[/tex].
Comparing this with the given options, we see that [tex]\( h = a \), \( k = b \), and \( r = m \)[/tex].
Substituting these values into the general form, we get [tex]\( x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \)[/tex], which matches the correct option.
Complete Correct Question:
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
a. x2 + y2 - 2ax - 2by + (a2 + b2 - m2) = 0.
b. x2 + y2 + 2ax + 2by + (a2 + b2 - m2) = 0.
c. x2 + y2 - 2ax - 2by + (a2 + b2 + m2) = 0.
d. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.
The base of a parallelogram is 24 inches longer than three times the height. The area of the parallelogram is 384 square inches. What is the height?
The height is x = ________ inches.
Answers
To find the height of the parallelogram, set up the equation (3x + 24) x = 384 using the formula for the area of a parallelogram. Solve the resulting quadratic equation to find that x, representing the height, is 8 inche
The student is trying to find the height of a parallelogram when the base is 24 inches longer than three times the height and the area is 384 square inches. Let the height of the parallelogram be represented by x inches. According to the problem, the base (b) is 3x + 24 inches. Using the formula Base x Height = Area of parallelogram, we can set up the equation:
(3x + 24) x= 384
Now solve for x using the distributive property:
3x^2 + 24x = 384
Next, set the equation to zero:
3x^2 + 24x - 384 = 0
Divide the entire equation by 3 to simplify:
x^2 + 8x - 128 = 0
Factor the quadratic equation:
(x + 16)(x - 8) = 0
Set each factor equal to zero:
x + 16 = 0 or x - 8 = 0
Since the height cannot be negative, x = 8 is the solution. Therefore, the height of the parallelogram is 8 inches.
given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
Answers
f(x+a)
(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4
(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)
The corresponding point for the fuction f(x -4) is (-4,-7)
A 3500.00 $ principal earns 3% annual interest, Compounded semiannually after 20 years, what is the balance in the account
Answers
Hope this helped!
A machine can produce 27 inches of ribbon in 3 minutes.how much ribbon can the machine produce in 1 hour produce in 1 hour?
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The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit
Answers
x=-1200/[2*(-6)]=100
the maximum happens when x=100
A rectangle is 1/3 yards long and 2/3 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.
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To find the area of a rectangle, multiply the length by the width. For a rectangle that is 1/3 yards long and 2/3 yards wide, the area is 2/9 square yards, which is the answer in simplest form.
The question asks us to calculate the area of a rectangle that is 1/3 yards long and 2/3 yards wide. The formula to compute the area of a rectangle is length imes width.
First, multiply the length and the width:
Length: 1/3 yards
Width: 2/3 yards
Area = (1/3) times (2/3) yards sq
Area = 2/9 square yards
This is the simplest form of the fraction, so this is the final answer: The area of the rectangle is 2/9 square yards.
Can someone help me...?
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2. x = 1, x = 2 are both solutions
The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the patio? l w
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The length of rectangular outdoor patio is 17 feet and the width is 13 feet.
Given that, the perimeter of a rectangular outdoor patio is 60 ft.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangular outdoor patio be x.
Then, the length is 4 ft greater than the width = x+4
Now, perimeter = 2(x+x+4)
⇒ 2(2x+4) = 60
⇒ 4x+8=60
⇒ 4x=52
⇒ x=13
Length = x+4 = 17
Therefore, the length of rectangular outdoor patio is 17 feet and the width is 13 feet.
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There are 20,000 owls in the wild. Every year the population decreases by 8%. How many owls will there be after 8 years?
Answers
After 8 years, there will be approximately 10,260 owls remaining in the wild. This calculation is based on an initial population of 20,000 owls decreasing by 8% annually, yielding a final population using the formula for exponential decay.
To find out how many owls will remain after 8 years, we can use the formula for exponential decay:
[tex]\[ \text{Final population} = \text{Initial population} \times (1 - \text{Rate of decrease})^{\text{Number of years}} \][/tex]
Given:
Initial population (P) = 20,000 owls
Rate of decrease (r) = 8% = 0.08
Number of years (t) = 8
Plugging in the values:
[tex]\[ \text{Final population} = 20,000 \times (1 - 0.08)^8 \][/tex]
[tex]\[ \text{Final population} = 20,000 \times (0.92)^8 \][/tex]
[tex]\[ \text{Final population} \approx 20,000 \times 0.513 \][/tex]
[tex]\[ \text{Final population} \approx 10,260 \][/tex]
So, after 8 years, there will be approximately 10,260 owls remaining in the wild.
The coordinates of triangle DEF are Upper D left parenthesis 3 comma 3 right parenthesis, Upper E left parenthesis 8 comma 3 right parenthesis, and Upper F left parenthesis 5 comma 7 right parenthesis. If you translate triangle DEF 2 units right and 3 units down, what are the coordinates of Upper E'?
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Two circle are inscribed inside squares. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answer in terms of π.
f(r)=___
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The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex].
The area of the shaded region is the sum of the areas of the two circles of same radius, each of them represented by the following formula:
[tex]A_{r} = \pi\cdot r^{2}[/tex] (1)
Where:
[tex]A_{r}[/tex] - Area of the circle.[tex]r[/tex] - Radius of the circle.Then, the formula for the shaded area is:
[tex]f(r) = 2\cdot A_{r}[/tex]
[tex]f(r) = 2\pi\cdot r^{2}[/tex] (2)
The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. [tex]\blacksquare[/tex]
RemarkThe figure is missing and the statement present mistakes. Correct statement is shown below:
Two circle are inscribed inside squares. Write a function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region. Leave your answer in terms of π.
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BC is tangent to circle A at B and to circle D at C. AB= 10 BC= 21 DC= 8 find AD to the nearest tenth
Answers
If there are other details, please post.
The distance AD is found by Pythagoras theorem, with
AD=sqrt(BC^2+(AB-DC)^2)=sqrt(21^2+2^2)=sqrt(441+4)=sqrt(445)
=21.095 (to the third decimal place)
What is the slope of the line 3x + 4y = -11?
answers:
3\4
-3\4
3
4
Answers
so...
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
then divide both sides by -4
y=(3/4)x-7/4
so the slope is 3/4
Final answer:
To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.
Explanation:
The question asks: What is the slope of the line 3x + 4y = -11?
To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation
3x + 4y = -11We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:
4y = -3x - 11y = (-3/4)x - 11/4Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.