Answer:
5x + 3y = 18
Step-by-step explanation:
First find slope. m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3) = 5/-3
then. use. y - y1 =. m (x - x1). which gives. y - 1 = -5/3(x - 3)
then. y - 1 = -5/3x + 5
then y = -5/3 x + 6. or. 5x + 3y = 18
Round 13.007 to the hundredths place value.
Answer:
13.01
Step-by-step explanation:
The zero next to the 7 is the hundredths place.
13.007
Drop the 7.
Now you have 13.00
Since 7 is from 5 to 9, the last zero goes up 1 to 1.
Answer: 13.01
Answer:
13.01
Step-by-step explanation:
13.00|7
When the number is 5 or higher round up
13.01
2/5d+4/9e=-2d+7/18e-1
solve for e
Answer:
[tex]e=\frac{-5e-90}{216}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]
When dividing 5 by 4, is a answer a rational number explain
Dividing the number 5 by 4 gives a rational number 5/4.
What is defined as the rational numbers?The word 'rational' comes from the word 'ratio.'
As a result, rational numbers are attributable to the concept of fractions, which represent ratios. In other words, a rational number can be represented as a fraction in which both the numerator and denominator are integers.Rational numbers also include integers, whole numbers, natural numbers, or fractions with integers.If a number's decimal form is terminating or recurring, as in 5.6 or 2.141414, we know it is a rational number.Irrational numbers are those in which the decimals appear to be never-ending or non-recurring.For the given expression;
When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.
Thus, dividing 5 by 4 gives the rational number 5/4.
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what is the gcf for 24 36 and 50?
Answer:
2
Step-by-step explanation:
Because 2 goes into 24, 36 and 50.
What is the simplified value of the expression, below, when x = 4 and y = 6? Leave your an
simplified fraction
Show all steps for full credit. Circle your final answer. (4 points).
3x - y/
2y + x please help
Answer:
2
-
2 - 4 ^ 5
Step-by-step explanation:
Tyler has two cube-shaped storage spaces in his apartment, one large and one big. the small on is 12 with a exponent of 3. what is the volume for both?
Answer: 19
Step-by-step explanation:
2+1+1+12+3=19
solve tis question pls
It is important to understand how probability works in statistics because ______.
Probability are important information when applying descriptive statistics. Probability is the branch of mathematics concerning numerical descriptions. the correct option is (B).
What is probability?Descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
here, we have,
A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes. The probability formula can be expressed as,
Probability formula:
P(A) = Probability(Event) = Favorable Outcomes/Total Outcomes
P(A) = x/n
where,
P(B) is the probability of an event 'B'.
n(B) is the number of favorable outcomes of an event 'B'.
n(S) is the total number of events occurring in a sample space
Descriptive statistics are brief informational coefficients that summarize a given data set, which can be either a representation of the entire population or a sample of a population. Descriptive statistics are broken down into measures of central tendency and measures of variability (spread). Measures of central tendency include the mean, median, and mode, while measures of variability include standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
The main purpose of descriptive statistics is to provide information about a data set. In the example above, there are hundreds of baseballs players that engage in thousands of games. Descriptive statistics summarizes the large amount of data into several useful bits of information.
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Select from the drop-down menu to correctly identify the property shown. 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2) Choose...
The property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.
What is the Distribution Property?The distribution property of multiplication is one of the properties of real numbers which states that, given that a(c + d), then we would have:
a(c) + a(d) = ac + ad.
Given the expression, 3.8+(−4.8+(−6.2)), applying the distribution property of multiplication will give us:
(3.8+(−4.8))+(−6.2).
Therefore, the property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.
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Solve the following equation and inequality.
5(2x+3)=35
3x-4>17
Answer: Ok I don’t have the answer but I have an example!
Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.
I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨
pls helpp with que 4a and 4b
Answer:
4a. [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
4b. [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
Step-by-step explanation:
The expression for problem (4a) is
[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]
Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.
LCM of [tex]4x-2,\:and\;3-6x[/tex]
But first, let's simplify the two expressions by factoring
[tex]4x-2 = 2(2x-1)[/tex] and
[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]
[tex]2(2x-1) -3(2x-1)[/tex]
Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.
This gives LCM as [tex]6(2x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]
For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]
[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]
[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since
[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]
We get
[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]
Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]
Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex] becomes
[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]
Therefore the expression result is
[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
Part (b)
Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]
So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]
Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term
==> [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]
==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]
==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
I WILL MARK BRAINLIEST.
Find the product of 3.2 x 1012 and 4.25 x 109. Write the final answer in scientific notation.
1.36 x 1021
13.6 x 1021
1.36 x 1022
13.6 x 1022
The product in scientific notation is 1.36 x 10^22
How to find the product of 3.2 x 1012 and 4.25 x 109?The product expression is given as:
3.2 x 1012 and 4.25 x 109
Express the product, properly
3.2 x 10^12 x 4.25 x 10^9
Regroup the factors
3.2 x 4.25 x 10^12 x 10^9
Evaluate the product
13.6 x 10^21
Rewrite as:
1.36 x 10^22
Hence, the product in scientific notation is 1.36 x 10^22
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Answer:
c 1.36 x 1012
explanation:
need help with #9, & #10 please
Step-by-step explanation:
the line equation is in the slope-intercept form.
that looks like
y = ax + b
"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).
so, when it says "the same slope", we know we have to use the same factor of x.
and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".
9.
y = -4x + b
2 = -4×0 + b = b
so, yes, the equation is
y = -4x + 2
but as you can see : b is NOT y in general.
10.
y = 2/3 x + b
-1 = 2/3 × 4 + b = 8/3 + b
now, let's multiply both sides by 3 to get rid of the fraction :
-3 = 8 + 3b
-11 = 3b
b = -11/3
so, the equation is
y = 2/3 x - 11/3
or
y = 1/3 × (2x - 11)
Solve for the value of e.
see picture below!!
Answer:
11
Step-by-step explanation:
90=55+3e+2
33=3e
e=11
i dont now this so can someone help me pls
Answer:
Step-by-step explanation: i bet your ray r stands for g
Given the matrices A and B shown below, find -2A + 2B.
A = [0 -6] B = [-8 -1]
Answer:
The and is –6
Step-by-step explanation:
–2A= –2[0 , –6]
2B= 2[–8 , –1]
–2A= –2 [0 , +12]
2B= 2[–16 , –2]
–2A + 2B=[0 ,12] + [–16 ,–2]
=[0+(–16) + 12+(–2)]
=[0–16+12–2]
= –16+10
= –6.
Hope it was helpful
Please help me for scale factors
Answer:
91/7=13
so x=11×13
x=143
A marathon is 26.2 miles. How many hours would it take a runner whose average speed is 4.25 meters/sec to complete a marathon?
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
How long will it take the runner to complete the marathon?
Speed is simply distance traveled per unit time.
Speed = distance / time
Given the data in the question;
Distance = 26.2 milesSpeed = 4.25m/sTime t = ?First, convert the unit of distance from miles to meter.
Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m
Now, plug the values into the equation and solve for time.
Speed = distance / time
4.25m/s = 42164.708m / time
Time = 42164.708m ÷ 4.25m/s
Time = 9921.1077647s
Next, convert to hours,
Time = 9921.1077647 ÷ ( 60 × 60 )
Time = 9921.1077647 ÷ 3600
Time = 2.76 hours
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
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What is the slope of the line in the graph?
a)-4/3
b)-3/4
c)3/4 or
d)4/3
i will mark brainliest
100pts
Answer:
B
Step-by-step explanation:
The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope if the fraction -3/4.
Answer:
[tex] \sf \: b) \: \frac{ - 3 \: }{ 4} [/tex]
Step-by-step explanation:
The coordinates are,
→ x1 = 4, y1 = -2
→ x2 = -4, y2 = 4
Formula we use,
→ Slope(m) = (y2 - y1)/(x2 - x1)
Now the required slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (4 -(-2))/(-4 - 4)
→ m = (4 + 2)/-8
→ m = 6/-8
→ [ m = -3/4 ]
Hence, the option (b) is correct.
You reflect the triangle below over the x-axis.
Answer:
(-5,3)
Step-by-step explanation:
That's the coordinates of it being reflected over X axis for point P.
the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle
Width is 24 & Length is 12 of a rectangle.
What is rectangle short answer?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.give,
Perimeter = 72
Width = 2*Length
Let P = Perimeter
Let W = Width
Let L = Length
Knowing
P = 2L + 2W = 72
W = 2L
We can rewrite everything in terms of Length
72 = 2L + 2(2L)
72 = 2L + 4L
72 = 6L
72/6 = L
12 = L
W = 2L
W = 2(12) = 24
Width is 24
Length is 12
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What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
Gradient or slope can be found using the point-slope formula:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
We can rearrange the equation to find slope (m) like so:
[tex]m=\frac{y-y_{1} }{x-x_{1} }[/tex]
To use this formula we need to find two well-defined points and use their coordinates.
Let's use (0,2) and (3,3) because they are clear points on the graph.
(0,2) will represent [tex]x[/tex] and [tex]y[/tex] in the equation respectively, and (3,3) our other point will represent [tex]x_{1}[/tex] and [tex]y_{1}[/tex].
Now we just need to plug the numbers into the equation:
[tex]m=\frac{2-3}{0-3} \\\\m=\frac{-1}{-3} \\m=\frac{1}{3}[/tex]
The gradient of the graph is 1/3.
Hope this helped!
You are helping a friend with her flower garden. She decides to add some clematis
vines, rose bushes, and peony plants to her garden. The price of a clematis vine is $3
more than twice a peony plant. The price of a rose bush is $5 more than a clematis
vine. She decides to buy 3 clematis plants, 4 rose bushes and 2 peony plants for a total
of $233.
Write a system of three linear equations in three variables to represent this situation.
The price of a clematis vine, rose bush, and peony plant is given by a set of three linear equations with three variables: 29, 14, 13.
What do mathematical linear equations mean?A linear equation is one that has a degree of 1 as its maximum value .In a linear equation, no variable has an exponent bigger than 1, thus.. A linear equation's graph will always be a straight line.
An algebraic equation known as a linear equation has an exponent of 1 for each term, and when it is graphed, it always yields a straight line.
According to given data;
let c is price of clematis vine
let r is price of rose
P is price of peony plants.
bush
c=2p+3
r=c+5+
=3c + 4r+ 2p = 233
b) putting(1) in 2
a 2p+ 3 + 5 2 p +8 -9 putting(1) and (4)in 3
3(2p+3)+4(2p+8) + 2 p² 233
2
6p+9+8p+16+2p = 233
16p=25=233
16 p= 233-25
16p = 208
p=208÷13
p= 13
putting value of p in (1)and(4)
c= 2 p +3
=2X13+3
C = 29
r= 2p+8
=2×13+8
=34
price of clematis vines =29
rose bush = 34.
peony plants = 13.
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BD bisects
Find m
ABC= 25x+34
CBD = 11x+23
The measure of angles are
i) Angle ABD = 67°
ii) Angle CBD = 67°
iii) Angle ABC = 134°
We have been given that ray BD bisects angle ABC and also
Angle ABC = (25x+34)°
Angle CBD = (11x + 23)°
Note that angle ABC = angle ABD + angle CBD (1)
And angle ABD = angle CBD = (11x + 23)° as it is bisected into two equal half.
Therefore putting the required values of angle in equation (1) we get
(25x+34)° = 2(11x+23)°
25x+34 = 22x+46
25x – 22x = 46 – 34
3x = 12
x = 4
Hence, angle ABD = (11*4 + 23) ° = 44+23 = 67°
Angle CBD = (11*4 + 23) ° = 44+23 = 67°
angle ABC = (25*4 + 34)° = 100+34 = 134°
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I HAVE 2 MINS TO ANSWER THIS HELP
Answer:
A.
Step-by-step explanation:
In the 2nd Quadrant, the y is POS and the x is NEG. That's what will happen if reflected from the 1st Quadrant over the Y axis.
Answer: A
Step-by-step explanation:
Angle DEF is an inscribed angle on a circle, and m
O 48°
O 96°
O 132°
O 24°
∠24°
What is an inscribed angle in a circle?
Inscribed angles are angles whose vertices are on a circle and that intersect an arc on the circle. The measure of an inscribed angle is half of the measure of the intercepted arc and half the measure of the central angle intersecting the same arc.
given that intercepted arc = ∠48°
The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.
If the intercepted arc is twice the size of the inscribed angle, then the inscribed angle is half the size of the intercepted arc. So if the intercepted arc is 48 degrees, the inscribed angle is 48 / 2 = 24 degrees.
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Classify this polynomial. –8r4 + 2r2 + 3r hurry pls
Answer: -r(8r^3-2r-3)
Step-by-step explanation:
Compare the functions shown below: f(x) = (x + 3)2 − 2 g(x) linear graph with y intercept of negative 3 over 2 and x intercept of 3 h(x) x y −3 2 −2 7 −1 14 0 23 1 34 2 47 3 62 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?
Answer:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
Step-by-step explanation:
Answer:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Step-by-step explanation:
The sum of three consecutive even integers is 72 let ex represent the first integer X plus to represent the second integer and X +4 represent the third furniture which equation can be used to find the first energy
Answer:
see explanation
Step-by-step explanation:
the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is
x + x + 2 + x + 4 = 72 , that is
3x + 6 = 72 ( subtract 6 from both sides )
3x = 66 ( divide both sides by 3 )
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the 3 consecutive even integers are 22, 24 , 26
-7ab^2 + 9a^3b
factor it please
Step-by-step explanation:
= -7ab² + 9a³b
= -7b × ab + 9a² × ab
= ab × (-7b + 9a²)