Answer:
[tex]y=2x-1[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The question provides both the slope m=2 and the y-intercept b=-1.
Thus, substituting:
[tex]\boxed{y=2x-1}[/tex]
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?
Answer:
The answer is "150 seconds".
Step-by-step explanation:
[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]
[tex]time= \frac{distance}{speed}\\\\[/tex]
[tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]
50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2
Answer:
4.5
Step-by-step explanation:
The range of the given data would be 5.1 which is determined by the difference between the maximum value and the minimum value of data.
What is the range of data?The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.
The given results data are as:
{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }
To determine the range of the data, we have to find the maximum value of the data and the minimum value of the data.
As per the given results,
The maximum value of data = 2.7
The minimum value of data = -2.4
So the range of the data would be:
⇒ the maximum value of the data - the minimum value of the data.
⇒ 2.7 - (-2.4)
⇒ 2.7 + 2.4
Apply the addition operation, and we get
⇒ 5.1
Therefore, the range of the given data would be 5.1.
Learn more about the range of data here:
brainly.com/question/11647487
#SPJ2
Please help I will give you brainliest. Look at the picture
Answer:
1. 24 2. 64 3. 9 4. 11 5. 7 2/5
Step-by-step explanation:
The triangles shown below must be congruent . True or false ?
Answer:
False
Step-by-step explanation:
The angles are the same, but we know nothing about the sides
For triangles to be congruent, the sides have to be the same length
Since we don't have information about the sides, we do not know if they are congruent.
Answer:
false
Step-by-step explanation:
brainliest plz
Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)
Answer: − 10 x + 7.5
Step-by-step explanation:
Answer:
− 10 x + 7.5
Step-by-step explanation:
Hope this helped!
A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.
Answer:
$21.2
Step-by-step explanation:
From the problem given, we express them as algebra so that we can easily solve;
the total charge on a call greater than 120min is given as;
120x + y(n - 120) = total cost of call
where n is the number of minutes which is greater than 120;
Ethan paid $26.80 for 175 minsn = 175min here;
120x + y(175 - 120) = 26.80
120x + 55y = 26.80 ----- (I)
$32.40 for 210 minutesn = 210min
120x + y(210 - 120) = 32.4
120x + 90y = 32.4 ----- (II)
Now let us solve both equations for y and x;
120x + 55y = 26.80 ----- (I)
120x + 90y = 32.4 ----- (II)
subtract the two equations;
90y - 55y = 32.4 - 26.8
35y = 5.6
y = [tex]\frac{5.6}{35}[/tex] = 0.16cents
then x;
120x = 26.8 - 55y from equation I
120x = 26.8 - 55(0.16)
120x = 18
x = [tex]\frac{18}{120}[/tex] = 0.15cents
Find the cost of 140min of talk time;
n =140min;
= 120(0.15) + 0.16(140 - 120)
= 18 + 0.16(20)
= 18 + 3.2
= $21.2
Please help me with this question!!
Answer:
The correct result is 2 pounds per quart
Step-by-step explanation:
Dividing Fractions
The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]
This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]
Jessie was dividing these two fractions:
[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]
And got the incorrect result
[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]
This mistake was probably the result of multiplying both fractions instead of dividing them.
The correct operation is:
[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]
The correct result is 2 pounds per quart
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
In cm 360
In meters 3.6
Step-by-step explanation:
had the same question but had to answer in both and got em right
17z = 16z − 15 whats z ?
Answer:
z = -15
Step-by-step explanation:
17z = 16z − 15
Subtract 16z from each side
17z-16z = 16z-16z − 15
z = -15
Write the equation y=4x+9 in standard form using integers.
Answer:
[tex]4x-y=-9[/tex]
Step-by-step explanation:
The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.
To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.
[tex]4x-y=-9[/tex]
I hope this helped you :D
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 2 is an equation.
2x + 4y + 4 is an equation.
We have,
y = 4x + 9
This is in the slope-intercept form of an equation.
The standard form of an equation is written as:
x + y = c
We need to keep the variable in the equation on one side and a constant on the other side of the equation
Now,
y = 4x + 9
Subtract 4x on both sides.
y - 4x = 4x + 9 -4x
y - 4x = 9
-4x + y = 9
This is in the form of a standard equation.
Thus,
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
(3x^8)(5x) simplify using Law of exponent
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
(4x5)3
Using the exponential notion and simplify pls
what is the opposite of 6.34
Answer:
-6.34
Step-by-step explanation:
the answer is -6.34
f(x) = 4x – 1
g(x) = x2 - 3x + 5
5914 1404 393
Answer:
f(1) = g(1) = 3
f(6) = g(6) = 23
Step-by-step explanation:
Perhaps you want to know the solutions to ...
f(x) = g(x)
Substituting the function definitions, this is ...
4x -1 = x^2 -3x +5
0 = x^2 -7x +6 . . . subtract 4x-1
0 = (x -6)(x -1) . . . factor the equation
Solutions are x = 1 and x = 6, the values that make the factors zero.
The corresponding function values are ...
f(1) = 4(1) -1 = 3
f(6) = 4(6) -1 = 23
Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).
what is 7/8 times 3 1/4
Answer:
hi friend , your answer would be 7/8 x 3 1/4 = 91 /32 in fraction form.
Step-by-step explanation:
so friend here is my explanation :
now you can see you are multiplying with a mixed fraction .
so :
convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1 = 13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2 27 / 32hope this helps , pls mark as brainliest .
The value of 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91 /32.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that the expression is 7/8 times 3 [tex]\frac{1}{4}[/tex].
Here we are multiplying fraction to mixed fraction.
We will convert mixed fraction to improper fraction.
To convert into improper fraction,
we will use the formula;
fractional number = denominator x whole no . part + numerator
numerator part of fractional number = 4 ×3 +1 = 13
Now we have 13/4
Multiply 7/ 8 x 13/4 = 91 / 32
Therefore , the 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91/32.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
PLEAAAAASEEE HEEEELPPPPP!!!! ILL GIVE BRAINLIEST!!!!
Answer:
See below
Step-by-step explanation:
[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]
y = |x|-2 how do I graph this
Answer:
Look below
Step-by-step explanation:
The normal absolute value graph is a v shape in the origin, so just go to (0, -2) because of the -2
Hope this helps!!!!
Graph:
Find the value of x.
X
(x-58)
Answer:
119 degree
Step-by-step explanation:
The both x and x-58 are coincident to each other so they have sum of 180 degree.
So,
x + x-58 = 180
2x= 180+58
x= (180+58)/2
x= 119
Answer:
As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º
So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.
The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.
90 + 90 + x + (x - 58) = 360
122 + 2x = 360
2x = 360 - 122
2x = 238
x = [tex]238/2[/tex]
x = [tex]119[/tex]
Sowe know one angle measueres 119º and the other 61º
(-7) • (-5) what does it equal to
Answer:
35
Step-by-step explanation:
Negative × negative = Positive-7 × -5 = 35I hope this helps!
Answer:
35
Step-by-step explanation:
Simplify
(-7) X (-5)
Negatives cancel out so its going to be positive
That's how you get 35.
Find the value of x.
Answer:
x = 65
Step-by-step explanation:
2x - 14 + 64 = 180
2x + 50 = 180
2x = 130
x = 65
Answer:
x=65
Step-by-step explanation:
64+2x-14 = 180
Put these numbers in order from greatest to least.
7.8
6.3
6.61
6.4
What is 3,050 divided by 75 with a remainder?
The quotient from the given division is 46 and the remainder is 50.
Given that, 3500 divided by 75.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 3500/75
75|3500|46
300
_____
500
450
______
50
Thus, quotient = 46 and remainder=50
Therefore, the quotient from the given division is 46 and the remainder is 50.
To learn more about the division visit:
brainly.com/question/1575906.
#SPJ6
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
Answer:
Zelei should have divided both numbers by 14
Step-by-step explanation:
Plzs help I give u BRAINLIST
Answer:
$30,170.36
Step-by-step explanation:
I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.
Divide. 495 ÷ 10,000 = _____ 4.950 0.0495 0.4950 0.00495
Answer:
0.0495
Step-by-step explanation:
used a calculator
0.0495.
[tex]495 / 10000 = 0.0495.[/tex]
B)
Consider the two different types of elections. Which statement is true?
А
The candidates in the general election earn Electoral College votes.
B.
There is only one primary election but multiple general elections.
с
The general election decides who will run as a presidential candidate.
D
The primary election decides who will be the next president.
Answer:
D
The primary election decides who will be the next president.
Step-by-step explanation:
Answer:
the candidates in the general election earn electoral college vote
Please need help fast. Look at the picture.
Please explain.