What is this equation in slope-intercept form? -3x-2y=30
Are these answers correct? If not, what would the answers be?
If Alicia can read 3 pages in 1 minute, how long would it take her to read 33 pages?
divide total pages by pages per minute
33 / 3 = 11 minutes
A rectangle is 4 cm longer than it is wide, and its area is 117 cm2 . find its dimensions.
The length and width of the rectangle are [tex]13[/tex] cm and [tex]9[/tex] cm respectively whose area is [tex]117 cm^2[/tex].
Let the width of the rectangle be [tex]x[/tex].
Then the length of the rectangle is [tex]x+4[/tex].
Area of a rectangle [tex]=[/tex] length [tex]\times[/tex] width
Area [tex]= 117 cm^2[/tex]
[tex](x+4) \times x = 117[/tex]
[tex]x^2+4x=117[/tex]
[tex]x^2+4x-117=0[/tex]
[tex]x^2+13x-9x-117=0[/tex]
[tex]x(x+13)-9(x+13)=0[/tex]
[tex](x+13)(x-9)=0[/tex]
[tex]x+13=0, x-9=0[/tex]
[tex]x=-13, x=9[/tex]
Since, length cannot be negative. So, [tex]x=-13[/tex] is not possible.
So, [tex]x=9[/tex].
And [tex]x+4=13[/tex]
So, length [tex]= 13[/tex] cm and width [tex]= 9[/tex] cm.
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a class has 27 students.15 are boys the rest are girls. what is the ratio of girls to total students?
A ladder is leaning against a building. the distance from the bottom of the ladder to the building is 16 ft shorter than the length of the ladder. how high up side of the building is the top of the ladder if the distance is 8 ft less
A right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. find the length of the other leg.
The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = . After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:
She should have multiplied by 2 instead of dividing by 2.
Step-by-step explanation:
Note: The given equation is incorrect and second equation is missing.
Consider the given equation is
[tex]k=\dfrac{1}{2}mv^2[/tex] ...(i)
The formula find by Lashandra is
[tex]m=\dfrac{k}{2v^2}[/tex]
We need to find the Lashandra’s error.
Multiply both sides by 2 in equation (i).
[tex]2k=mv^2[/tex]
Divide both sides by [tex]v^2[/tex].
[tex]\dfrac{2k}{v^2}=m[/tex]
It means, the formula find by Lashandra is incorrect. She should have multiplied by 2 instead of dividing by 2.
Answer:
a
Step-by-step explanation:
2021 edg
I don't get this someone help me
One side of a triangle is x in., another side is 2x in., a third side is 2x in., and the perimeter is 36 in.
f(x) = -1/3 x + 7 determine the input that would give an output value of 2/3
Answer:
The correct answer is (19).
Step-by-step explanation:
I’m needin sum help.-.
y = 4x+4
give x a number that is on the X axis line to make it a little easier
so lets say x = 2
replace x in the equation with 2
y = 4(2) +4
so y = 8+4 =12
s0 put a dot where x is 4 and y is 12
do the same thing with another number then draw a straight line through both those points
The value of y when x is 3 in the equation "y = 4x + 4" is 16. This linear relationship reflects a consistent rate of change, with each unit increase in x corresponding to a 4-unit increase in y.
In the equation "y = 4x + 4," to find the value of y when x is 3, we substitute x with 3:
y = 4(3) + 4
y = 12 + 4
y = 16
Therefore, when x is 3, y is 16. This means the point on the graph is (3, 16). The equation represents a linear relationship where y depends on x with a constant rate of change of 4. For every 1-unit increase in x, y increases by 4 units due to the coefficient of x.
In summary, for the given equation "y = 4x + 4," when x is 3, y is 16. This relationship indicates a straight line with a slope of 4 and a y-intercept of 4.
The question probable may be;
Given the equation y = 4x + 4 find the value of y when x = 3.
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
The answer Y=1
:) hope this helps
Two-thirds of a number is negative six. Find the number.
a. -9
b. -8
c. -4
Answer:
Step-by-step explanation:
the answer is 9
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry: "One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies." Model the scenario with an equation. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels.
The model which represents the total amount in terms of pennies, quarters, dimes and nickel is 0.25q + 0.10d + 0.05n + 0.60
Total amount = $1 and 87 cents = $1.87Amount in pennies = 60 cents = $0.60Number of Quarters, Nickel and Dimes = q, n and d respectively 1 quarter = $0.25 ; 1 dime = $0.10 ; 1 nickel = $0.05To create a mathematical model of the total amount :
Total worth of Quarters = 0.25qTotal worth of dimes = 0.10dTotal worth of nickel = 0.05nTotal worth of pennies = $0.60Total amount = 0.25q + 0.10d + 0.05n + 0.600.25q + 0.10d + 0.05n + 0.60 = 1.87Therefore, the model which represents the total amount is 0.25q + 0.10d + 0.05n + 0.60
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A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.
Answer:a and e
Step-by-step explanation:
Got it right
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
a) 3x+4y–12=0
b) 2x+y=1
Answer:
Step-by-step explanation:
Slope-intercept form of the equation is y = mx + c
Where m = slope of the line
c = y- intercept
a). 3x + 4y - 12 = 0 [Standard form of the equation of a line]
4y + 3x = 12
4y = 12 - 3x
[tex]y=\frac{1}{4}(-3x+12)[/tex]
[tex]y=-\frac{3x}{4}+\frac{12}{4}[/tex]
[tex]y=-\frac{3x}{4}+3[/tex]
Here slope of the line is [tex]-\frac{3}{4}[/tex] and y-intercept is 3.
b). 2x + y = 1
y = -2x + 1
Slope of the line is -2 and y intercept is 1
What is the radius of the circle whose center is the origin and that passes through the point (5 12)?
The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.
What is the radius of a circle?explanation;
taking from origin,
let 5 units equat to x - axixs
and y = 12 units
so using pythagoras theorm radius = square root of (12)² + (5)²
= [tex]\sqrt{169}[/tex]
=13 answer.
The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.
Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2
A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.
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Which is NOT a factor pair for 60?
A) (2, 30)
B) (3, 20)
C) (4, 12)
D) (6, 10)
is -1/17 a repeating decimal
A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,
The minimum number of digits that repeats in such a number is known as the decimal period.
Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory`ContinuedFractions`.
All rational numbers have either finite decimal expansions (i.e., are regular numbers; e.g., ) or repeating decimals (e.g., ). However, irrational numbers, such as neither terminate nor become periodic.
Numbers such as 0.5 are sometimes regarded as repeating decimals since.
Which statements are true about the linear inequality y > x – 2? Check all that apply.
The slope of the line is –2.
The graph of y > x – 2 is a dashed line.
The area below the line is shaded.
One solution to the inequality is (0, 0).
The graph intercepts the y-axis at (0, –2).
The true statements about the linear inequality y > x - 2 are that the slope of the line is 1, the graph is a dashed line, the area above the line is shaded, and the graph intercepts the y-axis at (0, -2).
When analyzing the linear inequality y > x - 2, we can identify several characteristics that relate to its graph and the solutions it represents:
The slope of the line is 1, not -2. This is because the equation is in the slope-intercept form y = mx + b, where m is the slope and here m = 1.The graph of y > x - 2 is indeed a dashed line, which indicates that the line itself is not included in the set of solutions for the inequality.The area above the line is shaded because the inequality is y > x - 2, which means all the points where y is greater (above) than x-2.One solution to the inequality is not (0, 0) because when x=0 and y=0, the inequality does not hold true (0 is not greater than -2).The graph intercepts the y-axis at (0, -2), which is the point where the line crosses the y-axis. This corresponds to the b term in the equation y = mx + b.The first three terms of a geometric sequence are as follows.
32, 16, 8
Find the next two terms of this sequence.
Write a linear equation given the point and slope or two points (-7,13);slope =2
The linear equation is y = 2x+ 27.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given:
points: (-7, 13) and slope =2
As, we know the equation of line
y= mx +b
as, the line passes through the point (-7, 13) and m= 2
13 = 2(-7) +b
13 + 14 = b
b= 27
Hence, the equation of line is y = 2x+ 27
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Jaimie swims 12 the length of the swimming pool every 14 of a minute. Enter the number of lengths of the swimming pool Jaimie swims per minute.
Does this graph represent a function? why or why not ?
Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. the top 3% of the class is to receive a special award. assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award?
If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
Using this formula
Minimum number of words =(z score× standard deviation) + means
Where:
z score=(100%-3%=97%)
z score= 97%=1.881
Standard deviation=175
Mean=20
Let plug in the formula
Minimum number of words =(1.881×20) + 175
Minimum number of words =37.62+175
Minimum number of words =212.62
Minimum number of words =213 (Approximately)
Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
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What is the solution of the equation x^2 + 6x + 6 = 0?
Which of the following is the most appropriate unit to describe the rate at which a person reads?
A. Minutes per word, because the independent quantity is the minutes
B.Minutes per word, because the independent quantity is the words
C.Words per minute, because the independent quantity is the minutes
D.Words per minute, because the independent quantity is the words
Which of the following proportions is false?
10/25=40/100
18/48=20/50
25/45=75/135
24/30=20/25
Leila is choosing a 2-letter password from the letters A, B, and C. The password cannot have the same letter repeated in it. How many such passwords are possible?