Answer:
Ans: x=0
y= -2
Step-by-step explanation:
-6x+y= -2--------- (1) × 6
-3x-6y= 12--------(2) × 1
-36x+6y= -12-----(3)
-3x-6y= 12--------(2)
(3)+(2)
-36x+6y+(-3x-6y) = -12+12
⇒ -36x+6y-3x-6y = 0
⇒ -36x-3x = 0
⇒ -39x=0
⇒ x= 0/-39
∴ x = 0
Substitute x = 0 into (1)
-6x+y= -2
⇒-6(0)+y= -2
⇒0+y= -2
∴y = -2
Ans: x = 0
y = -2
Check:
-6x+y= -2--------- (1)
= -6(0)+(-2)
= 0 - 2
= -2 ✔
-3x-6y= 12--------(2)
= -3(0)-6(-2)
= 0+12
= 12 ✔
Karen is at least 4 years more than twice mary's age (m). Karen is 46 years old. Write a simplified inequality that represents marys age answer
Answer:
46 ≥ 2m + 4
m ≥ 21
Step-by-step explanation:
At least is ≥
Karen's age = 46 years old
Mary's age = m years old
Karen is at least 4 years more than twice mary's age (m).
46 ≥ 2m + 4
46 - 4 ≥ 2m
42 ≥ 2m
m ≥ 42/2
m ≥ 21
These two lines represent a system of equations.
What is the solution to that system?
Help ?
Answer: (-1,1)
Step-by-step explanation: Look at the intersection point of the lines
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
Johnny wants to buy a lottery ticket, so he decides on the ones that give him a 1 in 3 chance of winning! If Johnny buys 15 lottery tickets, how many times would you expect him to win?
Answer:
5 or less chances.
Step-by-step explanation:
well because if he buys 15, 1 in 3 chance tickets, the highest amount of times he would win would be 5 because 15 is the chances of winning multiplied by the tickets he could win.
When they arrived at the museum,Tyler's dad went to the ticket counter. For each of the 5 members of the family ,he purchased a general admission ticket for $8.75 and a ticket to see a special exhibit . He paid a total of $70?. How much did each of the ticket to the special exhibit cost
Answer:
5.25
Step-by-step explanation:
Which of the following points IS not coplanar with points C. D and E?
R. It is not in the same plane as C, D and E
30,000,000 +40,000+6,000+20+2 in word form
Answer:
thirty million forty-six thousand twenty-two
hope this helps
have a good day :)
Step-by-step explanation:
Please help :( The picutre is right below worth 20 pionts and will mark brainliest :)
oh and the question is right in the picture too also with the rest
Answer:
perpendicular
Step-by-step explanation:
peripenducular looks like a plus sign. HOPE THIS HELPS!
Branliest...
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
circumference of circle=2πr
=2*π*9
=18π m
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 9 m.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
A. C = 18 π ✅
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]
[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]
Therefore, the circumference of the circle is 18 π m.
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
i’m so confused on how to do it
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form. Select one:
Don't use files please
a. y=-3/4x+11/4
b. y=3/4x+11/4
c. y=-4/3x+2/3
d. y=-3/4x+5/4
OPTION
d. y= -3/4x+5/4 is the correct answer.
Refer to the attachmenta for complete calculation
Topic - Solving Linear Inequalities.
Q - A vehicle with an empty fuel tank has a mass of 1050kg. One litre of petrol has a mass of 737g. What is the minimum amount of whole litres of petrol that would cause the total mass to exceed 1100kg?
Please help me.
Answer:
The minimum balance is 68 liters
Step-by-step explanation:
Let the number of liters of petrol required be x
Given that One litre of petrol has a mass of 737g, x liters will have a mass
= 0.737x kg
Recall that 1 kg = 1000g
Since the empty fuel tank has a mass of 1050kg
The total mass = 1050 + 0.737x IN kg
For the total mass to exceed 1100kg, then
1050 + 0.737x > 1100
0.737x > 1100 - 1050
0.737x > 50
Divide both sides by 0.737
x > 50/0.737
x > 67.84260516
One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
HELP ME PLAESE ASAPP
As apart of her physical fitness training, Kaylee cycled at 30km/h and then jogged at 8 km/h. She spent 2 hours working out and covered a distance of 49 km. How long did Kaylee spend at each activity?
Answer:
for cycling, time is 1.5 hours
for hogging time is 0.5 hour.
Step-by-step explanation:
speed of cycling = 30 km/h
speed of jogging = 8 km/h
total time = 2 hrs
total distance, D = 49 km
Let the time for cycling is t, so that time time for jogging is 2 - t .
distance = speed x time
49 = 30 x t + 8 (2 - t)
49 = 30 t + 16 - 8 t
33 = 22 t
t = 1.5 hour
So, time for cycling is 1.5 hours and time for jogging s 0.5 hr.
the length of a rectangle is 5 less than twice the width. if the perimeter of the rectangle is 14 centimeters, find the dimensions of the rectangle
Answer:
25cm and 15cm is what your looking for❤
What is the area of the rectangle above
A.48 square cm
B.28 square cm
C.14 square cm
D. 24 square cm
Answer:
24
Step-by-step explanation:
Area = width * length
Given width = 2cm
Given length = 12cm
Area = 2 * 12 = 24
Brainliest given to anyone who gets both answer
Helen draws a random circle,
She then measures its diameter and circumference,
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula n =
음
Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.
Answer:
3.115
Step-by-step explanation:
pi = 405 ÷ 130
= 3.1153846154
upper bound 3.116
lower bound 3.115
Edit : Incorrect Answer
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
what is the slope of the line shown below?
Answer:
Up four over four = 4/2 = 2
Step-by-step explanation:
Need help with this??? Please!!!
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
What is the mean of the data set below 12, 15, 10, 11
Answer:
To find the mean, you add all the numbers given (12, 15, 10, and 11) and then divide by the number of values in the set (in this case, 4). This is the same as finding an average. To do this, you add 12 + 15 + 10 + 11 = 48. ... Therefore, the mean is 12.
Answer:
Your answer is given below:
Step-by-step explanation:
12+15+10+11/4
= 48/4
= 12
ㅡ TheExtraterestrial
find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.
The shape can be split into 3 separate shapes:
On the left side a square 3 x 3 = 9 square inches.
The middle rectangle that is 2 x 5 = 10 square inches
The bottom rectangle which is 4 x 4 = 16 square inches
Total area = 9 + 10 + 16 = 35 square inches
can you help me get the answer for this Q :)
Answer:
sorry need some points
Step-by-step explanation:
49 + 710 is 10390.49 + 710 is 10390.
solve for x
roman is standing away from a flag pole, how far away is he standing.
Answer:
13.21148134 meters
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 39 = x /17
17 cos 39 = x
13.21148134 = x
Answer:
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39=adjacent/hypotenuse
0.77=x/17
0.77*17=x
13.09=x
help meee it's pythagorean theorem, just need answers plsssssss
Answer:
Hi, there your answer is C or D and the second page is C
Step-by-step explanation:
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answer:
Step-by-step explanation:
total students = 27
students do not have a brother probability = 13/27
students do not have a sister probability = 12/27
= 4/9
Hope this is correct :)
The probability that a student is chosen randomly from the class does not have a sister is 0.375.
The probability that a student is chosen randomly from the class Has a brother is 0.208.
The probability that a student is chosen randomly from the class does not have a brother is 0.7916.
The probability that a student is chosen randomly from the class Has a sister is 0.625.
What is the probability?Probability is the branch of mathematics, which discusses the occurrence of a random experiment.
First, we need to calculate how many total students there are.
Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
The probability that a student is chosen randomly from the class does not have a sister is;
[tex]= \dfrac{2+7}{24}\\\\=\dfrac{9}{24}\\\\=0.375[/tex]
The probability that a student is chosen randomly from the class Has a brother is;
[tex]= \dfrac{3+2}{24}\\\\=\dfrac{5}{24}\\\\= 0.208[/tex]
The probability that a student is chosen randomly from the class does not have a brother is;
[tex]= \dfrac{7+12}{24}\\\\=\dfrac{19}{24}\\\\= 0.7916[/tex]
The probability that a student is chosen randomly from the class Has a sister is;
[tex]= \dfrac{3+12}{24}\\\\=\dfrac{15}{24}\\\\= 0.625[/tex]
Learn more about proability here;
https://brainly.com/question/23959949
#SPJ2
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent. Write an equation to represent the relationship between the submarine's elevation and time
Answer:the sub goes down 32.81ft per min
Step-by-step explanation:
2100
2hours
1050ft
1hour
525ft
30min
262.5ft
15min
262.5 ft
7.5min
131.25
4min
65.625ft
2min
32.81ft
1mins
Solve the equation
1 . J + -2 = -22
J + -2 = -22
Adding a negative number changes the equation to subtract ruin:
J - 2 = -22
Now add 2 to both sides to get the answer:
J = -20
Collect like term
J= -22 - 2
J= - 20
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
[tex]V=lwh[/tex]
steps in attachment