Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
Answer:
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
2mx^2+x^2-2mx+5x+2m+1=0
3mx^2+5x+1=0
That's as far as you can get simplifying it.
Step-by-step explanation:
Help me
Like just draw on it
Answer:
Step-by-step explanation:
Solve this math problem.
Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.
Here,
Given : 5/8 X 4/3
=> 5/8 X 4/3 = 20/24
on condensing,
10/12 = 5/6
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PLEASE HURRY AND HELP!!!
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
Table (x, y) equals (0, 0), (6, 3), and (12, 6) represents a linear relationship that is also proportional.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
The first option is linear but not proportional as 3 ×2 = 6 and 6×2 = 12.
By observing the given options we conclude that the third option is linear and proportional as,
6 ÷ 2 = 3 and 12 ÷ 2 = 6.
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Fractional index
Without using mathematical table simplify the following
(16/81)^-3/4
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
using the rules of exponents/ radicals
• [tex](\frac{a}{b}) ^{-m}[/tex] = [tex](\frac{b}{a}) ^{m}[/tex]
• [tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{n}[/tex]
then
[tex](\frac{16}{81}) ^{-\frac{3}{4} }[/tex]
= [tex](\frac{81}{16}) ^{\frac{3}{4} }[/tex]
= [tex]\frac{(\sqrt[4]{81})^3 }{(\sqrt[4]{16})^3 }[/tex]
= [tex]\frac{3^3}{2^3}[/tex]
= [tex]\frac{27}{8}[/tex]
Which rectangle has side lengths of 7 units and 8 units?
The rectangle that has side lengths of 7 units and 8 units is (a) a rectangle that has an area of 56 square units
How to determine the rectangleFrom the question, we have the following parameters that can be used in our computation:
Side lengths of 7 units and 8 units
These parameters can be represented as
Length = 7 units
Width = 8 units
Using the options in the question as a guide, we have the following computations
We start by calculating the area of the rectangle
The area of the rectangle can be calculated using the following area formula
Area = length * width
Substitute the known values in the above equation, so, we have the following representation
Area = 7 * 8
Evaluate
Area = 56
Hence, the rectangle is (a)
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Complete question
Which rectangle has side lengths of 7 units and 8 units?
(a) a rectangle that has an area of 56 square units
(b) a rectangle that has a perimeter of 56 square units
(c) a rectangle that has an area of 65 square units
(b) a rectangle that has a perimeter of 6 units
There are 90 new houses being built in a neighborhood last month 2/5
of them were sold this month 1/3 of the remaining houses were sold.How many houses are left to be sold?
The number of houses left to be sold is 12
How to calculate the number of houses left to be sold?There are 90 new houses built in the neighbourhood
2/5 were sold last month
2/5 × 90
= 18 × 2
= 36
1/3 of the remaining were sold this month
1/3 × 36
=12
Hence there are 12 houses left to be sold
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Please help me solve
For this problem, we know that the line's function is equal to 3 if X isn't 0. That means that for every X that isn't 0, we'll have a line at y = 3 (since we know that g(x) is just fancy for y!). We're also given that if X is equal to 0, it must be at y = 4.
Therefore, your graph should have a straight line through y = 3 EXCEPT at x = 0! At x = 0 you should just have a shaded dot at y = 4.
Rewrite the limit as a definite integral for number 13
The notation of the limit as a definite integral is given as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
How to write the limit as an integral?The limit for this problem is defined as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]
This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:
[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]
As the second term is only a factor of n, the Delta is given as follows:
[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]
As the a term does not appear in the function, the value of the coefficient a is given as follows:
a = 0.
The parent function dependent on k is given as follows:
[tex]f(x) = \sqrt{x}[/tex]
The parameter b is obtained as follows:
[tex]\Delta_x = \frac{b - a}{n}[/tex]
[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]
[tex]b = n^{-\frac{1}{2}}[/tex]
(the parameter n is not given).
Hence the definite integral is obtained as follows:
[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
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Clare has $150 in her bank account. she buys a bike for $200. what is Clare's account balancenow?
Answer:
-50
Step-by-step explanation:
Answer:
Step-by-step explanation:
if she had $150 in he bank account and buys a bike that costs 200 she possibly can't afford it since she is $50 dollars short so even if she borrows $50 dollars she has to repay the person 50 dollars before she starts earning another money so i think it is -50. if it doesn't help am sorry I hope you got this answer correct. goodluck
Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls
The amount of white paint used by Tamara to paint the bedroom walls is 2.125.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Total amount of paint = 8.5
Three fourths of this amount is blue paint.
Amount of blue paint = (3/4) × 8.5 = 6.375
Rest is white paint.
Amount of white paint = Total paint - Amount of blue paint
= 8.5 - 6.375
= 2.125
Hence the amount of white paint used to paint bedroom walls is 2.125.
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The sum of a number and 9
Answer: look it up :)
Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.
Answer: x+9 or n+9
Step-by-step explanation: sum refers to addition you can put x for "a number" thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n
If m∠A = 29°, m∠B = 84°, and c = 14, what are the measures of the remaining sides and angle?
Answer:
m∠C = 67°, a = 7.37, b = 15.13
Step-by-step explanation:
There are 180° in a triangle. We know two angles in the triangle, so we can calculate the third angle.
Since this is not a right triangle, we will use the Law of Sines.
SinA/a = SinB/b = SinC/c
see image.
Solve systems of equations by elimination -9x-2y=5 -9x-2y=11
Answer:
no solutions
Step-by-step explanation:
-9x-2y=5
- (-9x-2y=11)
-9x-(-9x) - 2y-(-2y) = 5 - 11 ==> subtract the top two equations
-9x + 9x - 2y + 2y = -6 ==> subtracting by a negative number is equivalent
to adding by a positive number
(-9x + 9x) - 2y + 2y = -6
0 - 2y + 2y = -6
0 - 0 = -6
0 [tex]\neq[/tex] -6 ==> Hence, there is no solutions.
Just need the answer to this question. No explanation needed
The distance of the ship from lighthouse found using sine law at both locations are 14.12 miles and 4.8 miles.
What is sine law?
The sine law asserts that the ratio of a triangle's side length to the sine of its opposing angle, which is constant for all three sides.
From the given figure we can find θ = 30 - 10 = 20°
According to sine law, we can write the following equation,
[tex]\frac{9.6}{sin \theta} = \frac{x}{sin \angle ABL} = \frac{y}{sin \angle LAB} \\[/tex]
From the figure, we get that ∠LAB= 10° (alternate angles)
∠LBC = 30°
∠ABL = 180 - 30 = 150°
θ = 20°
Substituting above values in the equation we get ,
[tex]\frac{9.6}{sin 20} = \frac{x}{sin 150} = \frac{y}{sin 10} \\\\\frac{9.6}{0.34} = \frac{x}{0.5} = \frac{y}{0.17}[/tex]
Solving the above we get,
x = 14.12
y = 4.8
Therefore the ship began 14.12 miles from the lighthouse and after travelling 9.6 miles south it is at 4.8 miles from the lighthouse.
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The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.
a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?
The volume of the storage shed is 125600 ft³.
The storage shed will be refilled after using 125600 ft³ of salt.
How to find the volume of the storage shed?The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.
The volume of the storage shed can be found as follows;
volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 40 / 2 =20 ft
h = 100 ft
volume of the storage shed = 3.14 × 20² × 100
volume of the storage shed = 3.14 × 400 × 100
volume of the storage shed = 125600 ft³
Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.
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(-5i)(7 + i)
Please help with with the correct response and explanation if you can I would be more than thankful for some help!
Answer:
To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.
Applying the distributive property, we have:
(-5i)(7 + i) = (-5i) * 7 + (-5i) * i
= -35i + (-5i) * i
Now, you need to use the fact that i * i = -1:
(-5i)(7 + i) = -35i + (-5i) * i
= -35i + (-5) * (-1)
= -35i - 5
= -40i - 5
So the final result is -40i - 5.
Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y= 1/3x+2
y=1/3x-2
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Parallel Lines:Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.
Slope-Intercept Form:
Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where
[tex]m = \text{slope}[/tex][tex]b = \text{y-intercept}[/tex]This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.
Generally Finding a Parallel Line:The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).
So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line
Finding a line passing through a point:Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.
Original Equation:
[tex]y=3x+b[/tex]
Point given: (3, 2), substitute in x=3 and y=2:
[tex]2=3(3)+b[/tex]
Simplify:
[tex]2=9+b[/tex]
Subtract 9 from both sides:
[tex]-7=b[/tex]
Now we can take this value. and plug it back into the general equation:
[tex]y=3x+(-7)\implies y=3x-7[/tex]
Now we have our answer!
Write an equation and solve for x using the diagram
below. Also give the angle measure. YOU MUST
WRITE THE EQUATION IN ORDER TO GET
Answer:
x = 45
Step-by-step explanation:
2x + 6 and 96 are vertically opposite angles and are congruent , then equation is
2x + 6 = 96 ( subtract 6 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
Find the quotients for the following equations-
1.72 divided by 3 (use sharing to divide)
2 228 divided by 5 (use partial quotients)
3. 1,487 divided by 4 (solve using any strategy you choose)
Complete these questions on yellow loose leaf paper
Your thinking must be visible.
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 . 2.28 divided by 5 using partial quotients = 40 + 5 = 45
what is quotients ?The quotient is a whole number when a number is entirely divisible by another integer.For instance, 15 x 3 = 5. (whole number)The quotient is a decimal number when a number is not entirely divisible by another integer. For instance, 15 x 2 equals 7.5 (decimal number)
given
2.28 divided by 5 using partial quotients = 40 + 5 = 45
after all partial quotients are added up. 1.72 divided by 3 using sharing to divide = 1.72 / 3 = 0.58
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 .
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express each number as a product of two fractions 1/5
Answer:
Theres nothing to solve for wheres the numbers?
Step-by-step explanation:
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
What property is,If 5x=25,then x=5
Answer:
can you just give me the brainliest.
the answer is in the attached document
Step-by-step explanation:
∫
1
/
√
1
+
(
ln
x
)
2
d
x
The integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c
What is Integration?An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data
The given integral is ∫1/√1 +(lnx) 2dx
= ∫1 +2(lnx)dx
Apply the sum rule
∫f(x)±g(x)=∫f(x)±∫g(x)
= ∫1dx +2∫(lnx)dx
=x+2(xln(x)-x)+c
=-x+2xln(x)+c
Hence, the integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c
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Helpp!!! Im stuck on this question!!!
for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.
The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?
Answer:
231 employees
Step-by-step explanation:
The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.
Since there are 105 women working at the company,
there are 6/5 * 105 = 126 men working at the company.
In total, there are 126 men + 105 women = 231 employees working for the company.
b) Express of 8000 cm³ of milk as a percentage of 16 litres of milk
Answer:
50%
Step-by-step explanation:
16 litres = (16 x 1000) cm^3
= 16000 cm^3
Hence,
Percentage = 8000/16000 x 100%
= 1/2 x 100%
= 50%
Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone was 49 cm. . If 6/7 of the melted liquid was used in making the cone, find the side of the initial cube.
pls, quickly no much time is there...
The side of the initial cube is 42 cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Rick melted a cube and made a cone with it.
The amount of melted liquid left after making the cone was 49 cm
6/7 of the melted liquid was used in making the cone
We need to find the side of the initial cube.
Cube =a³
Le us the whole liquid be 1.
6/7 of the melted liquid was used in making the cone
1/6/7=7/6 is the left out liquid after making cone.
7/6x=49
x=42 cm
Hence, the side of the initial cube is 42 cm.
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if the total surface area of imer part of a lidless cubical box is 2000cm2, (a) । Find the length of the box. (b)। Find the volurne of the box. (c) If the cost of milk is Rs. 120 per litre, find the cost of milk to fill this box.
Step-by-step explanation:
a
sa= 6l²
2000=6l²
l²=333.3
l= 18.2565
b.
v=l³
v= 18.2565³
v= 6084cm³