The equation of the line passes through (2, -10) and to parallel to 14x +2y = 6 is 7x + y = 4
In the above question,
The equation of the line = 14x + 2y = 6
2y = 6 - 14x
y = [tex]- \frac{14x - 6}{2}[/tex]
y = -(7x - 3)
y = -7x + 3
The inclination of a line with respect to the horizontal is measured numerically is called as Slope
Slope of the given line = -7
The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7
The point through which is passes = (2, -10)
We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y = 6
The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is
[y - (-10)] = (-7)[x - 2]
y + 10 = -7x + 14
7x + y = 14 - 10
7x + y = 4
Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y = 6 is 7x + y = 4
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Solve one half equals one fourth times the quantity y plus one eighth end quantity for y. y equals one half y equals three fourths y equals fifteen over eight y equals three halves
The value of y in the equation 1/2 = 1/4y + 1/8 when solved is: y = 3/2(three halves).
How to Solve an Equation?Solving an equation implies looking for the value of the variable that would make the equation true or balanced if we plug in the value of that variable into the equation.
To solve for the value of y in the given equation, 1/2 = 1/4y + 1/8, isolate the variable of equation, y, to one side.
1/2 = 1/4y + 1/8 [given]
1/2 - 1/8 = 1/4y + 1/8 - 1/8 [subtraction property of equality]
3/8 = 1/4y
Multiply both sides by 4
3/8(4) = 1/4y(4)
12/8 = y
3/2 = y
y = 3/2 (three halves).
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i'll give brainliest
Answer:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
Step-by-step explanation:
Fraction
[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]
The numerator of a fraction is the number (or expression) above the fraction bar.
The denominator of a fraction is the number (or expression) below the fraction bar.
[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]
If a number (or expression) is divided by zero, the quotient is undefined.
If zero is divided by a number or expression, the quotient is zero.
Therefore:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
Estelle and Carlos will be hosting a party and will buy 6 pies for their guests. Two lemon meringue pies cost $3 less than 4 blueberry pies. Three lemon meringue pies cost$9 more than 3 blueberry pies. How much does each type of pie cost?
The cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.
Given that, Estelle and Carlos will be hosting a party and will buy 6 pies for their guests.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of lemon meringue pies be L and the cost of blueberry pies be B.
Now, 2L = 4B - 3 and 3L= 3B + 9
Multiply the equation 2L = 4B - 3 by 3
6L = 12B - 9 --------(I)
Multiply the equation 3L= 3B + 9 by -2
-6L = -6B - 18 --------(II)
Add equation (I) and (II)
6L+(-6L) = 12B - 9 + (-6B-18)
⇒ 0 = 6B - 27
⇒ 6B = 27
⇒ B = $4.5
So, cost of lemon meringue = 2L = 4×4.5 - 3
⇒ 2L = 18 - 3
⇒ 2L = 15
⇒ L = $7.5
Therefore, the cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.
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please help brainliest to correct answer
Answer:
A, n = (8 - 7p)/m.
Step-by-step explanation:
mn + 7p = 8
mn = 8 - 7p
n = (8 - 7p)/m.
Which toolkit function is this ? I am always continuous and have a point of inflection at the origin. My range is from negative one to one.optionssquare root function , quadratic function, rational function , exponential function constant linear function , linears function cubic function , logarithmic function ,asbolsoute value and sine function
Step 1
Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.
Step 2
The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is
[tex]\begin{gathered} sine\text{ function} \\ Let\text{ us consider the graph of y=sinx} \end{gathered}[/tex][tex]\begin{gathered} An\:inflection\:point\:is\:a\:point\:on\:the\:graph\:at\:which\:the\:second\:\: \\ derivative\:is\:equal\:to\:zero\:or\:undefined\text{ }and\:changes\:sign \\ \mathrm{If}\:f\:''\left(x\right)>0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:upwards.} \\ \mathrm{If}\:f\:''\left(x\right)<0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:downwards.} \end{gathered}[/tex][tex]\begin{gathered} \frac{d}{dx}\left(sinx\right)=cosx \\ \frac{d}{dx}\left(cosx\right)=-sin(x) \\ -sin(x)=0 \\ x=0,y=0 \\ And\text{ the origin is \lparen0,0\rparen} \end{gathered}[/tex]From the graph, the range is from -1 to 1.
Answer;
[tex][/tex]inverse of (1/4x) +2
Answer:
Inverse Function = 4x -8
Step-by-step explanation:
replace x with y and replace x with y
solve for y (meaning isolate y)
y=(1/4x) +2
x= (1/4y) +2
x-2 = 1/4y
multiply by 4 on each side to remove 1/4 from the right side
4(x-2) = y
y= 4(x-2)
y= 4x -8
Inverse Function = 4x -8
pls help me answer this "23 miles is how many kilometers Round your answer to the nearest tenth." TY
Answer:
23 miles is 37 kilometers
Solve 0=2y-8x+10 for y
Answer: Y=4x-5
That should be write thats what i got
Solution: 0 = 2y - 8x + 10
=> - 2y = - 8x + 10
=> 2y = 8x - 10
=> y = 4x - 5
PLS HELP ME OUT MARKING BRAINLEIST
The side x = 104 unit and angle y = 74 °
What is a parallelogram?A quadrilateral is referred to as a parallelogram in geometry.
The opposite sides of a parallelogram are parallel and of equal length.
Rhombus, rectangle, and square are a few instances of parallelograms.
The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .
Given : A parallelogram ABCD.
Now in a parallelogram opposite sides are both equal and parallel.
So in this parallelogram ;
97 = x - 7
⇒ x = 97 + 7
⇒ x = 104 .
Also opposite angles of a parallelogram are equal.
⇒ y = 74 °
Thus the required solution is x= 104 degree and y= 74 degrees
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A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.
We may determine the value of candy costs by solving a linear equation in which the answer is given as
x = $4.00.
How can you find out how much candy costs?We are aware that a shop owner blends two pounds of candy priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the mixture.
The mixture's total weight is:Since the entire cost at the start must equal the total cost at the end, we can express the equation as 2lb + 3lb = 5lb.
2*x + 3*$1.50 = 5*$2.50
This linear equation for x may now be solved:
2*x = 5*$2.50 - 3*$1.50 = $8.00
x = $8.00/2 = $4.00
The sweet has a $4 price tag.
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If f(x)=5x^2+3x-1How do I find what f(b) equals to?
Given:
[tex]f(x)=5x^2+3x-1[/tex]Required:
We need to find f(b).
Explanation:
Replace x =b in the given equation to find the value of f(b).
[tex]f(b)=5(b)^2+3(b)-1[/tex][tex]f(b)=5b^2+3b-1[/tex]Final answer:
[tex]f(b)=5b^2+3b-1[/tex]Please help me please I’m begging I WILL GIVE YOU BRAINLEST
The value of x is 4.
What is the Alternate Exterior Angles Theorem?When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.
The given angles are 2x + 19° and x + 23°.
As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.
Using the Alternate Exterior Angles Theorem,
2x + 19° = x + 23°
2x - x = 23° - 19°
x = 4
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Make x the subject of the formula. 5d cubed= d squared (2b-3cx)
The value of x = [tex]\frac{2b-5d}{3c}[/tex] .
What is a equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
The given equation is
[tex]5d^{3}=d^{2}(2b-3cx)[/tex]
5[tex]d^{3}= d^{2}2b-3cd^{2}x[/tex]
3c[tex]d^{2}x = d^{2}2b-5d^{3}[/tex]
x = [tex]\frac{d^{2}(2b-5d) }{3cd^{2} }[/tex]
x = [tex]\frac{2b-5d}{3c}[/tex]
Hence, The value of x = [tex]\frac{2b-5d}{3c}[/tex] .
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Arnold plants a tree sapling in his yard and measures its height every year. His measurements so far are shown in the scatterplot.
The equation of the scatter plot is y = 5/3x + 2 and the tree will be 18.7 feet in ten years
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the height of the tree?The information that completes the question is added as an attachment
From the scatter plot, we have the following points
(x, y) = (0, 2) and (6, 12)
The equation of the line is calculated as
y = (y2 - y1)/(x2 - x1) * (x - x1) + y1
Substitute the known values in the above equation
So, we have
y = (12 - 2)/(6 - 0) * (x - 0) + 2
So, we have
y = 5/3x + 2
In ten years, the value of x is
x = 10
So, we have
y = 5/3 x 10 + 2
Evaluate
y = 18.7
Hence, the height of the tree is 18.7 feet
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Need help asap
A. h(x)=6-f(x)
B. h(x) = f(x)-6
C. h(x)=f(x) +6
D. h(x)=6f(x)
The equation of the graph after the translation is h(x)=f(x)+6
The process of transforming an equation or existing graph into a new graph is known as graph translation.
Changing algebraic equations is a typical algebraic problem. A translation modifies the graph of a parent function. Dilations, reflections, and translations are the three distinct types of translation.You can adjust a function's x values horizontally or its y values vertically (affects the x-values).We understand that in order to represent the translation by the predetermined amount, the x- and y-coordinates must be changed.Since the graph for h(x) has moved to the left by 6 units as we can see in the graph. Hence the co-ordinates will also change by 6 units . hence the graph is translated to the left by 6 units.
Therefore the equation after the translation is given by h(x)=f(x)+6 .
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Of the 16 nurses in Doreen’s department, 12 are women and 4 are men. One of the nurses will be assigned at random to work an extra shift next week. Find the probability a woman nurse will be assigned the extra shift. Convert the fraction to a decimal.
Answer:
Step-by-step explanation:
there are 10 milliliters and 1 liter
Question 3 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
A group of 31 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 3 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
(Do not include units in your answer.)
They can make 10 teams NOT 10.3.
What is basic division?Long division is a common division procedure in mathematics that may be used to divide multi-digit Hindu-Arabic numbers (Positional notation) and is easy enough to do manually. A division problem is divided up into a number of simpler steps.
Like in every division problem, the dividend and divisor are two numbers that are divided to produce the quotient, which is the final product. It makes it possible to carry out computations involving arbitrary large numbers by adhering to a set of straightforward processes. When the divisor contains only one digit, long division is nearly always avoided and instead, the condensed version, known as short division, is employed. A less mechanical approach to long division is known as "chunking," which is also known as the "partial quotients method" or "hangman method."
31 ÷ 3
= 10 but remainder 1 .
And then the fulfills the condition is that not everyone can be on a team.
So therefore remainder 1. Condition fulfilled
Answer is 10 .
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a $52 video game is adversited for 20% of it sales tax is 6%
Answer:
39 dollars
Step-by-step explanation: 20 perrcent of 52
An equation is shown.
y-7= -4(x+6)
Complete the statements.
The equation rewritten in slope intercept form is [DROP DOWN 1].
The point [DROP DOWN 2] is on the graph of the line.
DROP DOWN 1?
Answers:
Slope intercept equation is y = -4x - 17
The point (-6, 7) is on the graph of the line.
====================================================
Explanation:
Let's solve for y
y - 7 = -4(x+6)
y - 7 = -4x - 24
y = -4x - 24 + 7
y = -4x - 17
It is now in slope intercept form y = mx+b
m = -4 = slope
b = -17 = y intercept
---------------
Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)
The (x1,y1) is a point the line goes through.
Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))
We can see that x1 = -6 and y1 = 7
Therefore, the point (x1,y1) = (-6,7) is on the line.
2/3 ÷ -5/6 yo nesecesito dividir
Answer:
-4/5
Step-by-step explanation:
2/3 * -6/5 = -4/5
:]
9 c + 32 calculates the
The formula F(C) = 5
temperature in degrees Fahrenheit, given a
temperature in degrees Celsius
You can find an equation for the temperature in
degrees Celsius for a given temperature in
degrees Fahrenheit by finding the function's?
-15° = C is a given temperature in degrees Fahrenheit by finding the function's.
What is the purpose of Fahrenheit?
Temperature measurements are made in Fahrenheit. It is based on the Fahrenheit scale, which was first put forth by physicist Daniel Gabriel Fahrenheit in the 1700s. According to the Fahrenheit scale, water has a boiling temperature of 212 degrees Fahrenheit, while ice melts at 32 degrees.Water freezes at 32 degrees Fahrenheit and boils at 212 degrees on the Fahrenheit temperature scale. The sign ° F is used to denote it.we have a value for F, and so we use that to find C. Insert F's value into the equation:
5 = 9/5 C + 32
Subtract 32 from both sides:
5 - 32 = 9/5 C + 32 - 32
-27 = 9/5 C
Now we multiply both sides by 5/9
-27 * 5/9 = 9/5 C 5/9
-27 is divisible by 9:
-3 * 5 = C
-15° = C
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Answer:
1. Inverse
2. 5/9 and 160/9
3. All of them
Step-by-step explanation:
Solve for x: −3x + 3 < 6 The graph shows a number line with an open circle at negative one and shading to the left. The graph shows a number line with an open circle at negative one and shading to the right. The graph shows a number line with an open circle at negative three and shading to the left. The graph shows a number line with an open circle at negative three and shading to the right.
Answer:
X > -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's solve the inequality step by step:
Given inequality:
-3x + 3 < 6
Subtract 3 from both sides:
-3x < 3
Now, divide both sides by -3. When dividing by a negative number, remember to reverse the inequality:
x > -1
The correct answer is: The graph shows a number line with an open circle at negative one and shading to the right. (Option B)
Have a great day!
5x + 2y =6
x and y intercept
Answer:
See below
Step-by-step explanation:
x-axis intercept occurs when y = 0
5x + 2(0) = 6
x = 6/5
y axis intercept occurs when x = 0
5(0) + 2y = 6
y = 3
Please help me. I tried every answer possible. Due today.
The rate of change of what the cab company charges is; $3.3 per mile
What is the rate of change?The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;
Rate of change here is;
Slope = (y₂ - y₁)/(x₂ - x₁)
We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.
Thus;
Base fee = $2
Rate of change = 2 + 1.1
Rate of change = $3.3 per mile
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My brain can’t think straight and I’m trying to figure out the difference in the solution to a graph of a linear equation and the solutions to the graph of a linear inequality
For a linear equation the solutions are on the line, while for inequalities the solutions are above or below the line (sometimes the line is also included).
What are the differences?When we have a linear equation of the form:
y = line
The solutions on the graph of this equation are the points on the line.
Now, for inequalities like:
y > line
or
y < line.
The solutions are all the points above (or below) the line itself.
Finally, for inequalities like:
y ≥ line
y ≤ line
The solutions are above (below) the line and the line itself.
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2/3 ✕ 8 3/5 ✕ 9
I think I'm doing it wrong. Someone help I need the most simplified mixed number.
Exact Form:
774/25
Decimal Form:
30.96
Mixed Number Form:
30 24/25
You probably need to put in The Decimal Form
Answer:
51 3/5
Step-by-step explanation:
[tex]\frac{2}{3} *8\frac{3}{5} * 9\\[/tex] turn the mixed number into an improper fraction first. So, turn
8 3/5 into 43/5.
Also, turn the 9 into 9/1 to make it easier to multiply with
Now multiply all together:
2/3 * 43/5* 9/1
= 774/15
Simplify:
i divided both numerator and denominator with 3 because that is a common factor
=258/5
Answer= 51 3/5 is the mixed number
Here are the ingredients needed to make 12 biscuits.
Hamza has 375g of butter
200 g of sugar
675g of flour
Biscuits
To make 12 biscuits
Work out the greatest number of biscuits Hamza can make.
Optional working
125 g of butter
50g of sugar
175g of flour
With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.
Given : To make 12 biscuits Hamza needs ; 375g of butter
200 g of sugar and 675g of flour .
thus the total amount of ingredients = 375 + 200 + 675
= 1,250 g
Thus to make 12 biscuits 1250 g is required.
By using unitary method we get :
1g will make 0.0096 biscuits
However to work out the greatest number of biscuits with 125 g of butter
50g of sugar and 175g of flour
will be 125 + 50 + 175 = 350 g
Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.
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The number of gifts received each day of "the 12 days of christmas" is a function of the day ("on the fourth day of christmas, my true love gave to me: 4 calling birds, 3 french hetis, 2 turtle doves, and a partridge in a pear tree")
Answer: True, It it the same as any other function, it just has more numbers than a two number function
Step-by-step explanation:
Consider the equation:24 = x^2 - 4x + 31) Rewrite the equation by completing the square.Your equation should look like (x + c)^2 = d or (x – c)^2 = d.[ ]2) What are the solutions to the equation?Choose 1 answer:A) x=2 ± 5B) x = -2 ± √5C) x = 2 ± √5D) x = -2 ± √5
(x - 2)² = 25
Explanation:24 = x² - 4x + 3
rewritting:
x² - 4x = 24 - 3
x² - 4x = 21
using the completing the square:
coefficient of x = -4
square half the coefficient of x = (-4/2)² = (-2)²
Add the square half the cofficient of x to both sides of the equation
x² - 4x + (-2)² = 21 + (-2)²
taking out -4x:
(x - 2)² = 21 + 4
(x - 2)² = 25
The equation above is in the form (x + c)^2 = d or (x – c)^2 = d
Hillsboro Street and Manchester Avenue intersect. If the diagonal distance across the
intersection is 73 feet and Hillsboro Street is 55 feet wide, how wide is Manchester Avenue?
The intersection's two opposing corners are 91.40 feet apart.
Since the given data are:
Width of the Hillsboro Street = 73 feet
Width of Manchester Avenue = 55 feet
When Hillsboro Street and Manchester Avenue cross, calculate the distance between the intersection's two opposing corners,
Because the junction of Hillsboro Street and Manchester Avenue created a right-angled triangle:
Using Pythagoras's Theorem,
H² = B² + P²
H² = (55)² + (73)²
H² = 3025 + 5329
H² = 8354
H = √8354
H = 91.40
As a result, the distance between the intersection's two opposing corners is 91.40 feet.
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