IT MEANS THE GRADIENT OF THE NEW EQUATION IS GOING TO BE
[tex] \frac{2}{5} [/tex]
TOO
WE CAN SUBSTITUTE IN THE GENERAL EQUATION OF A STRAIGHT LINE y=mx+c TO GET C[tex]2 = \frac{2}{5} ( - 7) + c \\ 2 = \frac{ - 14}{5} + c \\ c = 2 + \frac{14}{5} \\ c = \frac{24}{5} [/tex]
THE EQUATION PARALLEL TO THE ONE GIVEN NOW IS
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
two times a number increased by three is equal to four times the same number increased by eleven in standard form
Answer:
n x 2 + 3 = n x 4 + 11
Step-by-step explanation:
n x 2 ("two times a number) + 3 ("increased by three") = ("is equal to") n x 4 ("four times the same number") + 11 ("increased by eleven")
What is the distance between (-6, 4) and (-8, 6)?
Choose 1 answer:
2
3
√4
√8
Answer:
The distance between (-6, 4) and (-8, 6) is 4 units.
Step-by-step explanation:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\AB = \sqrt{(-8+6)^2+(6-4)^2}\\AB = \sqrt{(-2)^2+(2)^2}\\AB = \sqrt{16}\\AB = 4[/tex]
Just apply the distance formula, quite simple.
simplify 3 sqrt -64x^6y^9
When we simplify ³√(-64x⁶y⁹), the result obtained is written as -4x²y³
How do I simplify ³√(-64x⁶y⁹)?To simplify ³√(-64x⁶y⁹), do the following:
³√(-64x⁶y⁹)
Simplifying individual term, we have
³√(-64) = -4
³√(x⁶) = x²
³√(y⁹) = y³
Combining the individual simplification, we have
³√(-64x⁶y⁹) = -4 × x² × y³
³√(-64x⁶y⁹) = -4x²y³
Thus, from the above illustration, we can conclude that simplifying ³√(-64x⁶y⁹) results in -4x²y³
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what is a fast way to do multiplication and division by tens
Answer:
When multiplying whole numbers by 10, simply add a 0 to the end of the number
When dividing by 10 remove a 0 from the end of the number.
Step-by-step explanation:
Multiplication:
10 x 2 = 20
10 x 6970 = 69750
Division
20 / 10 = 2
6970 / 10 = 697
Hope this helps! :)
Write an equation for a parabola with x-intercepts at 0 and 1 and which passes through the point (2, -2).
I would greatly appreciate some help with this!
(っ^▿^)
Answer:
y = -x(x - 1).
Step-by-step explanation:
y = a(x - b)(x - c) where a is a constant and b and c are the x-intercepts.
y = a(x - 0)( x - 1)
y = ax(x - 1).
When x = 2, y = -2 so:
-2 = a(2) (2 - 1)
2a = -2
a = -1.
So the equation is y = -x(x - 1).
Answer:
[tex]y=-x^2+x[/tex]
Step-by-step explanation:
Intercept form of a quadratic equation:
[tex]y=a(x-p)(x-q)[/tex]
where:
p and q are the x-intercepts.a is some constant.Given:
x-intercepts: 0 and 1Point on the curve: (2, -2)Substitute the given values into the formula and solve for a:
[tex]\begin{aligned}y&=a(x-p)(x-q)\\\\\implies -2&=a(2-0)(2-1)\\-2&=a(2)(1)\\-2&=2a\\\dfrac{2a}{2}&=\dfrac{-2}{2}\\\implies a&=-1\end{aligned}[/tex]
Substitute the given x-intercepts and the found value of a into the formula:
[tex]y=-1(x-0)(x-1)[/tex]
Expand to standard form:
[tex]\implies y=-1(x)(x-1)[/tex]
[tex]\implies y=-x(x-1)[/tex]
[tex]\implies y=-x^2+x[/tex]
Help due Tuesday asap
The stem-and-leaf diagram is:
Stem Leaf
0 9
1 0, 5, 5, 8
2 1, 4, 8
3 0, 3, 5, 6, 6
4 2, 3, 4, 5, 5, 6, 7, 7, 8
5 1, 4, 5, 6, 8, 8, 8, 8, 9, 9, 9, 9,9,9
The mode is 59
The range is 50
The median is 45.50
The interquartile range is 6.5.
What is a stem-and-leaf plot?A stem-and-leaf plot is a table that is used to display numerical data. A stem-and-leaf plot has two column, one for the stem and the other for the leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 59, 5 would be the stem and 9 would be the leaf.
Mode is the number that occurs most frequently in a dataset. The mode is 59 because it appears 6 times in the dataset.
Range is the difference between the highest number and the lowest number
Range = 59 - 9 = 50
Median is the number at the center of the dataset.
Median = (n + 1) / 2
37 / 2 = 18.5th term = (45 + 46) / 2 = 45.5
The interquartile range is the difference between the third quartile and the first quartile.
Third quartile = 3/4(n + 1)
3 / 4 x 37 = 27.75 term = 58
First quartile = 1/4 x (n + 1)
1/4 x 37 = 9.25term = (50 + 53) / 2 = 51.5
Interquartile range = 58 - 51.5 = 6.5
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HELP PLEASE
Use the partition formula to find the location of your
towers.
Need help 7th-grade math
find the equation of the line please
Answer: y= -2x+5
Step-by-step explanation:
In the semi-circle alongside, ACD is a sector of a circle with the center A. Show that the two shaded regions have equal area.
The figure that is shaded here has the quadrant and the sector as the two parts that it has.
The area of the shaded is given as (πr²) / 4 - bh/2
How to show the equal area of the two shaded regionsWe have ACD as the sector of the circle.
such that we can see that the arc of AC is the quadrant of the circle nad it has the line at point o.
We would solve the area of the shaded as:
the area of a circle / 4 - the area of the triangle
this is mathematically written as
πr²/4 - 1/2bh
where
b = base
h = height
r = radius
This is the area of the shaded
An isosceles traingle would be formed when < A = < C = x
AO is equal to radius of the circle equal to the height CO
mathematically,
< A = < C = x
180 - 90 = 90 / 2
x = 45 degrees
We have to find the area of the sector
This is
= ∅/360 * πr²
= (45 / 360) * (πr²)
= (πr²) / 4
From the calculation we have here, we would see that
the area of the shaded is area of sector - area of the right angle triangle
= (πr²) / 4 - bh/2
When we go on to compare the sides we would then find out that they are equal. Therefore the shaded quadrant equals to the shaded sector.
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If f (x) = 4x² + 3x - 5, then f(x+h)-f(x)/ h is equal to which of the following?
Answer:
[tex]8x + 4h + 3[/tex]
Step-by-step explanation:
[tex]f(x)=4x^2 + 3x-5 \\ \\ f(x+h)=4(x+h)^2+3(x+h)-5 \\ \\ =4(x^2+2xh+h^2)+3x+3h+5 \\ \\ =4x^2+8xh+4h^2+3x+3h+5 \\ \\ f(x+h)-f(x)=(4x^2+8xh+4h^2+3x+3h+5)-(4x^2+3x+5) \\ \\ =8xh+4h^2+3h \\ \\ \frac{f(x+h)-f(x)}{h}=\frac{8xh+4h^2+3h}{h}=8x+4h+3[/tex]
I need to get this done I'm really behind I need answers today!! Please help
Answer: this is just the first one
y = -3.5x + 2
subtract the 7x from both sides to get 2y = -7x + 4
divide by 2 to get rid of the 2 so you get y = -3.5 + 2
For the third the mistake was adding 3.
You're meant to subtract the 10x from both sides to get -3y = -10x + 6
Divide everything by -3 to get y = 3.3 - 2
NEED ASAP PLEASEEEEEE
How many smaller squares can you fit inside a larger square with side length of 31 units?
961 smaller squares
62 smaller squares
31 smaller squares
29,791 smaller squares
The number of smaller squares that can fit inside a larger square with a side length of 31 units is A. 961 smaller squares if the larger square is a plane.
What is a side length?A side length is one part of the length of an object.
Determining the number of smaller squares in a larger square depends on if the square is an enclosure or a plane.
If the square object is an enclosure, then it has three dimensions, length, width, and height, which are squared. In that case, the number of smaller squares will be 29,791.
But if the square object is a plane with two dimensions, the number of smaller squares is 961.
Side length = 31 units
Area of a square plane = 961 unit² (31 x 31)
Volume of a square enclosure = 29,791 unit³ (31 x 31 x 31)
Thus, the number of smaller squares depends on the dimensions of the larger square.
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What Is 4 1/5% of 50 write your answer as a decimal, make sure answer is fully reduced
Answer:
2.1
Step-by-step explanation:
Use a calculator then put in 4.2 (4 1/5)% then put 50
Example: 4.2%50 = 2.1
Question 5 (1 point)
Solve the problem.
LF and LG are supplementary
angles.
m/F = (4x + 22)° and m
Find m/F.
Please help me !:)
Answer: [A]: " 78 ° " .
_______
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
So, given m∠F & m∠G are supplementary angles:
and given m∠F = (4x + 22) and: m∠G = (6x + 18) ;
Find m∠F ; which equals (4x + 22).
_______
So, add the 2 (two) supplementary angles;
set them as "equal to 180" ;
solve for x ;
then: plug that x value into:
(4x + 22) ; which is the m∠F ;
_______
4x + 22 + 6x + 18 = 180 ;
On the 'right-hand side of the equation" ;
"combine the like terms" :
+ 4x + 6x = + 10x ;
+ 22 + 18 = 40 ;
Then rewrite the equation:
10x + 40 = 180 ;
_______
Now:
Method 1):
Subtract 40 from Each Side of the equation:
10x + 40 − 40 = 180 − 40 ;
to get: 10x = 140 ;
Now: Divide Each Side of the equation by 10 ; to isolate x on one side of the equation; & to solve for x ;
10x / 10 = 140 / 10 ; to get: " x = 14 " ;
Method 2):
When we have: 10x + 40 = 180 ;
Divide the entire equation (i.e. Each Side of the equation) by 10 ;
to get rid of the "zeros" :
(10x + 40) / 10 = (180)/10 ;
to get:
(10x/10) + (40/10) = (180/10);
→ x + 4 = 18 ;
Subtract 4 from Each Side of the equation; to isolate x on one side of the equation; & to solve for x ;
x + 4 − 4 = 18 − 4 ;
to get: x = 14 .
_______
Now, find m∠F = 4x + 22 ;
Plug in 14 for x ; to solve:
m∠F = 4(14) +22 ;
= 56 + 22 ;
m∠F = 78°
which corresponds to:
Answer choice: [A]: 78° .
_______
Hope this is helpful to you!
Wishing you well!
_______
Answer:
A
Step-by-step explanation:
Angles that are supplementary add to 180°.
[tex]4x+22+6x+18=180 \\ \\ 10x+40=180 \\ \\ 10x=140 \\ \\ x=14 \\ \\ \therefore m\angle F=78^{\circ}[/tex]
75 pts 8th grade science. WILL give brainliest.
On landing, the plane touches the runway with a speed of 65 m/s. After one second its 60 m/s.
?
Answer:
Not sure what you are looking for
Step-by-step explanation:
Acceleration = change in velocity / change in time
= (60 - 65) / 1 s = - 5 m/s^2
At a garage sale, Petra priced her scooter for $15.50. She ended up selling it for $10.75. Find the percent of decrease in the price of the scooter. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Answer:
The percent of decrease in the price of the scooter is 30.6%.
Step-by-step explanation:
In order to calculate the percent of decrease, you have to divide the difference between the two numbers by the original number and multiply the result for 100:
% decrease=((10.75-15.50)/15.50)*100
% decrease=-0.306*100
% decrease= -30.6%
According to this, the answer is that the percent of decrease in the price of the scooter is 30.6%.
Write an equation of a line that is parallel to the line 3x + 4y = 32 and contains
the point (7,1).
3x + 4y = 25 is an example of a line that is parallel to the supplied line.
What is equation ?Equations are mathematical expressions that have two algebraic expression on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. It is clear that a statement is not an equation if there is no "equal to" sign in it. The phrase will be regarded as an expression.
Given that : line that is parallel to the line 3x + 4y = 32 and contains
the point (7,1).
3x + 4y = 32 is the equation for given line
This type of line is called a slope intercept. The line has a slope of m=[tex]\frac{-3}{4}[/tex].
The slope of parallel lines is equal. As a result, all lines with slope m=[tex]\frac{-3}{4}[/tex].will be perpendicular to one another.
3x + 4y = 25 is an example of a line that is parallel to the supplied line.
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Please help with this assignment
The result of the subtraction are-
13,2217,993693,00006What is defined as the subtraction?Subtraction in maths means to take something out of a group or a variety of items. When we deduct, the number of items in the group decreases or becomes smaller. A subtraction problem includes the minuend, subtrahend, and difference.Once we subtract two digits, we should use following terms from the subtraction expression:Minuend: The number that is subtracted from the other number.Subtrahend: The amount to be subtracted as from minuend.Difference: The outcome of subtracting the subtrahend as from minuend.The subtraction formula:
Minuend - Subtrahend = Difference
Part 1:
46,329
- 33, 108
_______
13,221
_________
Part 2:
8,695
- 702
_______
7, 993
_________
Part 3:
700,989
- 7,989
_______
693,000
_________
Part 4:
55
- 49
_______
06
_________
Thus, the result of the given subtractions are found.
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A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hours the restaurant is open. Use the
direct variation formula to estimate how many hours it would take the restaurant to earn $25,000. Round your answer to the nearest tenth (one decimal place)..
As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
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Hank made a phone call from his home in Hong Kong
(time zone +8) to New York City (time zone -5). What
is the time difference between Hong Kong and
New York City?
Answer:
12 hours
Step-by-step explanation:
look it up
Al's bowling center offers its customers 1 game for $4.40 or 2 games for $8.40. The games can be played by one bowler or by a group of bowlers. if a group wants to play 4 games, how much more will its members spend by buying the games on a time instead of buying the 2-game pack?
Answer:
148.4
Step-by-step explanation:
4.40x8.40x4=148.4
please help!! it’s timed so please help
I am not in this grade but I think it is A
Step-by-step explanation:
if right please mark brainiest
A recipe says that 6 spring rolls will serve 3 people. Complete the table.
number of spring rolls number of people
6 3
30
40
28
Here is the completed table:
number of spring rolls number of people
6 3
30 15
40 20
28 14
What is the relationship between the number of spring rolls and people?The first step is to determine the number of people that one spring roll would serve.
Number of people that one spring roll would serve = 3 / 6 = 1/2
Number of people that s spring rolls would serve = number of people that 1 spring roll would serve x s
Number of people that 30 spring rolls would serve = 1/2 x 30 = 15
Number of people that 40 spring rolls would serve = 1/2 x 40 = 20
Number of people that 28 spring rolls would serve = 1/2 x 28 = 14
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The return train fare from Nottingham to Harwich is £158.80 Asha has a student railcard which gives her 30% off. How much will Asna pay for her return ticket?
well, let's check how much is 30% of £158.80
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 158.80}}{\left( \cfrac{30}{100} \right)158.80}\implies 47.64~\hfill \underset{ticket~price}{\stackrel{158.8~~ - ~~47.64}{\text{\LARGE \pounds 111.16}}}[/tex]
y is inversely proportional to the cube of x
A table of values for x and y is shown
express y in terms of x
Work out the value of x when y = 64
The formula for y in terms of x is y = 8/x^3 and x is 1/2 when y = 64
How to express y in terms of xThe variation statement is given as
y is inversely proportional to the cube of x
This means that
y = k/x^3
Where k represents the constant of variation
Using the points on the table, we have
(x, y) = (1, 8)
This gives
8 = k/1^3
Evaluate
k = 8
So, we have
y = 8/x^3
The value of x when y = 64Here, we have
y = 64 and y = 8/x^3
This gives
8/x^3 = 64
So, we have
x^3 = 1/8
Take the cube roots
x = 1/2
Hence, the value of x is 1/2
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Huyen has round tiles. She must combine the positive and negative signs on the tiles to obtain a result equivalent to -1 Which diagram shows a combination of positive and negative tiles resulting in -1
The combination of number tiles resulting in -1 will be -4 + 3 and 2 - 3.
How to express the value?From the information, Huyen has round tiles and she must combine the positive and negative signs on the tiles to obtain a result equivalent to -1.
It should be noted that sone of the examples of the numbers that will give a value of -1 include:
= -4 + 3
= -1
= 2 - 3.
= -1
Note that an overview was given since you don't given enough information as options.
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I NEED HELP ASAP PLEASE!
Si 10 barras de chocolate cuestan 3 pesos, ¿cuánto cuesta 1?
To know how much each chocolate bar costs, knowing that ten chocolate bars cost 3 pesos, we only have to divide the total cost of the 10 chocolate bars by the total number of chocolate bars.
So that:
3 pesos ➗ 10 bars = 0.3 pesos/bar.Tenth that; the cost of each bar is 0.3 pesos.
IMPORTANT PLEASE HELP QUICK!!!
How would you graph the result of -3 + 5 as a point on the number line? 1.eight places to the right of zero 2.eight places to the left of zero 3.two places to the right of zero 4.two places to the left of zero day
Answer:
3. two places to the right of zero
Step-by-step explanation:
-3 + 5 = 2. On a graph, you always move right along the x axis for positive numbers, and left for negative numbers.