The total bill was $135
Natalie AND her eight friends went to eat so there are 9 people.
Since each person paid $15, you can write this equation.
15 x 9 = 135
Which equation represents the line shown in the graph below?
у
+
8
6
4
2
X
-8
-6
-21
6
2
8
2
-6
-8
O A. y = 3x + 4
OB.y = 31 - 4
OC. y = 4x + 3
OD
y = 4.1 - 3
The equation of line from the graph is y = 3x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The equation y = 3x + 4 represents a line in the coordinate plane.
To graph this line, we can plot a few points
when x=0, y=3(0)+4=4,
So we have the point (0,4)
when x=1, y=3(1)+4=7,
So we have the point (1,7)
when x=-2, y=3(-2)+4=-2,
So we have the point (-2,-2)
Plotting these points and connecting them with a straight line, we get the graph of the line
Hence , the equation of line is y = 3x + 4
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A giant thresher shark weighing 1250 pounds, believed to be the heaviest ever caught, was landed by fisherman Roger Nowell off the Cornish coast in November 2007. The fish was sold by auction at Newlyn Fish Market for £255. Roughly, what was the cost per pound?
Which expression has a solution of 54, if t = 6? 7 t 9 t 6 t 8 t
Answer:
The answer is 9
Step-by-step explanation:
Cause when we multiplied 6 to 9 the answer will be 54
Simplify, the solve.
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?
Answer:
2700 more eggs were ordered
need an answer, please need an answer, please
Answer:
[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]
Answer:
Step-by-step explanation:
1) Determining the nature of roots:
Quadratic equation: ax² + bx +c = 0
Find D (Discriminant) using the D = b² - 4ac
If D = 0 , then the two roots are equal.
If D > 0, then the equation has two distinct real roots.
If D < 0, then the roots are complex/ imaginary.
One can find the sum and product of the roots using the below mentioned formula.
1) sum of roots = [tex]\frac{-b}{a}[/tex]
2) Product of roots = [tex]\frac{c}{a}[/tex]
If sum and product of the roots are given, one can frame the quadratic equation by x² - (sum of roots)*x + product of roots = 0
2) i) x² - 6x + 9 = 0
a = 1 ; b = -6 and c = 9
D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0
D = 0. So, two equal roots
ii) x² - 4x + 3 = 0
a = 1 ; b = -4 ; c = 3
D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4
D > 0. So, two distinct real roots.
iii) x² - 4x - 3 = 0
a = 1 ; b = -4 ; c = -3
D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0
D > 0. So, two distinct real roots.
iv) x² - 4x + 7 = 0
a = 1 ; b = -4 ; c = 7
D =(-4)² - 4 *1 *7 = 16 - 28 = - 12
D< 0. So, two imaginary/ complex roots.
Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
URGENT!! A train travels at the rate of 120 km per hour
11. What is its speed in meters per second?
Answer:
33.333
Step-by-step explanation:
I looked up the answer
Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.
Height = 8.4 inches
Length = 5.3 inches
Answer:
44.52
Step-by-step explanation:
Volume = b * h
base times height
The height is 8.4 inches so 8.4 *
Length is the same as base so 5.4
8.4 * 5.4
f(x)=3x 3 inverse function
Step-by-step explanation:
if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.
the inverse function simply tries to calculate the original x it of the original y.
and then, to make it a formal function, we rename x to y and y to x.
y = 3x³
x³ = y/3
[tex]x = \sqrt[3]{ \frac{y}{3} } [/tex]
=> as "regular" function
[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]
pls help asap i rly need this
Answer:
THey are countin by 2 and 5 on the graph
Step-by-step explanation:
i need step by step explanition if you can. paper depot is delivering 952 cases of paper today.300 of the cases are plain white paper twenty-eight trucks are being loaded with an equal number of cases of paper. how many cases will each truck carry
Answer:
34
Step-by-step explanation:
We actually don't care what amount of paper is white, we just need the amount per truck. If there were 2 trucks, they would each take half of the total amount of paper. If there were 3 trucks, they would each take a third of the total amount of paper. And so on for 4,5,6,etc.
For 28 trucks, they would each take a twenty-eighth of the total amount of paper. So, the amount each truck takes is just [tex]952/28=34[/tex].
So, the answer is [tex]\boxed{34}[/tex] and we're done!
HEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEEEE
answer: the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Answer:
More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24
3x7=21 and that's 3 less than 24
The answer is 3
Step-by-step explanation:
A = 1/2 h(b^1 + b^2) solve for b^2
Answer:
[tex]b_{2} = \frac{2A}{h} - b_{1}\\[/tex]
Step-by-step explanation:
[tex]A = \frac{1}{2} h(b_{1} +b_{2})\\2A = h(b_{1} +b_{2})\\\frac{2A}{h} = b_{1} +b_{2}\\\frac{2A}{h} - b_{1} = b_{2}\\[/tex]
On a road map the distance from Cily A to City BIS 4 inches. The map
scale is 1 inch 20 miles what is the actual distance in miles, between
City A and City B2
5 miles
24 miles
8 miles
80
Answer:
80 miles
Step-by-step explanation:
The map scale compares the distance between two points on the map with the corresponding distance on the ground.
That is,
[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]
The formula makes it pretty easy to solve!
map scale is 1 inch : 20 milesdistance on map is 4 inchesLet's say, the corresponding distance on the ground is x miles.Substituting these values in the above mentioned formula:
[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]
cross multiplying:
[tex]\implies\mathsf{x=4 \times 20}[/tex]
[tex]\implies \mathsf{x=80}[/tex]
That makes the actual distance 80 miles!
ALTER
You can also use simple unitary method here:
1 inch on the map = 20 miles on the ground
∴ 4 inches on the map = 4 × 20 miles on the ground
= 80 miles on the ground
Shawna lives in an apartment 9 4/5 miles from the hospital where she works. Her brother rents a room in a house 7 2/5 miles from the law firm where he is employed. How much farther from work does Shawna live?
Answer:
2 2/5 miles
Step-by-step explanation:
Does anyone need help for any cooking/baking
Answer:
i would like to b a k e a dan ish
Step-by-step explanation:
Divide.
24.7 ÷ 5.2 Enter your answer in the box.
Answer:
[tex]24.7 \div 5.2 \\ \frac{19}{4} \: \: or \: \: 4.75[/tex]
Answer:
[tex] \\ \sf24.7 \div 5.2[/tex]
[tex] \\ \sf = \frac{247}{10} \div \frac{52}{10} [/tex]
[tex] \\ \sf = \frac{247}{10} \times \frac{10}{52} [/tex]
[tex] \\ \sf = \frac{247}{52} [/tex]
[tex] \\ \sf = \frac{19}{4}[/tex]
[tex] \\ \sf = 4.75[/tex]
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
a. y=4
b. graph the given and y=4
Step-by-step explanation:
The given is y= 8 sin(x) cos(x)
to get y' which is the slope of the tangent line we take the derivative
for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')
thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))
-8sin^2(x)+8cos^2(x)
You can also leave the 8 differentiated out depending on the form you need.
Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point
=8sin^2(pi/4)+8cos^2(pi/4)
this would equal -8*1/2 +8*1/2 which equals 0
the slope of the tangent at this point would be zero
To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)
this means the point slope equation would be
y-4=0(x-pi/4)
y-4=0
y=4
To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)
On a map, 1 inch equals 25 miles if two cities are 8 inches apart on the map how far are they actually apart ?
Answer:
200 mi
Step-by-step explanation:
8 times 25 mi = 200 mi
PLEEEEEEEEEAAAse mark branliest!!!
Two side lengths of a triangle are 30.9 inches and 42.0 inches. the sides meet at a 19degree angle. What is the area of the triangle?
Step-by-step explanation:
A=hbb
=42· 0 x30.9
=648.9
Solve by the substitution method
8x + 5y=11
3x + y=16
Answer:
x=69/7 y=-95/7
Step-by-step explanation:
I am grateful to anyone who can help. Thank you.
WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU AND STARS!!!!!
Answer:
Rate : 45m/s
Distance: 900 m
Step-by-step explanation:
1km/h = 1000m/3600s
= 5/18 * 162 = 45m/s
45 * 20 = 900
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6 ft
Step-by-step explanation:
Multiply by 2 on each side: (8*2) = (3*2)
New ratio: 16 = 6
Final answer: 6ft
SOMEONE HELP ME AND EXPLAIN HOW ITS THE ANSWER PLZ!!!
Answer:
20 guests
Step-by-step explanation:
20 (20) + 400 = 400 + 400 = 800
10 (20) + 600 = 200 + 600 = 800
answer B = 20 guests
Answer:
For 20 persons the price would be same.
Step-by-step explanation:
y=y
20x+400=10x+600
20x-10x=600-400
10x=200
x=20
Therefore, for 20 persons the price would be same.
he owner of a coffee shop collected receipts from all orders placed during a one-hour period. For each receipt, the owner recorded the payment method used and if the receipt was $25 or less or more than $25. The following table shows the requencies of the results.
Payment
Cash Credit/Debit Phone App Total Receipt of $25 or less 15 25 17
Receipt of more than $25 23 37 28
Total 145
What is the probability that a receipt that is to be selected at random from those collected during the one-hour period was
paid using a phone app, given that the receipt totaled more than $25?
Enter your answer as a value between 0 and 1 rounded to two decimal places. Points A,
Answer:
56
Step-by-step explanation:
The probability of selecting a receipt of more than $25 is 0.33.
What is a probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
For the given situation,
The amount on receipts in $, S= { 15,25,17,23,37,28 }
⇒ [tex]n(s) = 6[/tex]
The amounts are grouped as more than $25 and less than $25.
The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]
⇒ [tex]n(e)=2[/tex]
The formula to find the probability of an event,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)= \frac{2}{6}[/tex]
⇒ [tex]P(e)=\frac{1}{3}[/tex]
⇒ [tex]P(e)=0.33[/tex]
Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.
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plss helpppppppppppp plssss
Answer:
(x + 1)(x - 7) is the odd one.
Step-by-step explanation:
1) sum= 8
Product = 7
Factors = 1 , 7 {1*7 = 7 & 1+7 = 8}
x² + 8x + 7 = x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
=(x +1 )(x + 7)
2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)
= x(x - 1) - 7(x - 1)
=(x - 1)( x - 7)
3)Sum = 6
Product = -7
Factors = (-1) , 7 { -1 + 7 = 6 & (-1)*7 = -7}
x² + 6x - 7 = x² - x + 7x - 7
= x(x - 1) + 7(x - 1)
= (x - 1)(x + 7)
Answer:
(x+1)(x-7) is the odd one out
please help me solve this !
will mark brainliest !
(spammers reported)
Answer:
it is five
Step-by-step explanation:
5v-2=8 then v=x2 because 5x2=10-2=8
so 7v-9=5
The correct answer is 5
PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU