Step-by-step explanation:
f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x
When x = 2,
f(x) = 2.5(2) - 10.5 = -5.5,g(x) = 64 * 0.5^(2) = 16.When x = 3,
f(x) = 2.5(3) - 10.5 = -3,g(x) = 64 * 0.5^(3) = 8.When x = 4,
f(x) = 2.5(4) - 10.5 = -0.5,g(x) = 64 * 0.5^(4) = 4.When x = 5,
f(x) = 2.5(5) - 10.5 = 2,g(x) = 64 * 0.5^(5) = 2.When x = 6,
f(x) = 2.5(6) - 10.5 = 4.5,g(x) = 64 * 0.5^(6) = 1.Therefore we can see that f(x) = g(x) = 2 when x = 5.
Hence the solution is x = 5.
According to the graph, what is the value of the constant in the equation below?
Answer:
36.
Step-by-step explanation:
plug in the numbers. height=constant/width
height=18
width=2
18=×/2
18×2=36 or 36/2=18
At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Write 2x+y=3 in slope-Intercept form.
O a) y2x+3
O c) y--2x+3
b) y-2/3x-2
d) y=-2x-3
Answer:
Step-by-step explanation:
the slope intercept form is y= mx+b so rearranged
2x+y = 3 ; subtract 2x from both sides
2x-2x +y = -2x+3
y= -2x +3
ill give u braillist
can someone plz HELPPPPPP!!!!!!!!!
Answer:
The slope is two and the y-intercept is (0,1)
i need this quick!!
What are the constants in the equation 3x+2=9
a - 3
b - x
c - 2 and 9, constants have a fixed value
d - none of the above
Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
Please note that the number with variable x in the term is a coefficient.In our case:
Given the equation
[tex]3x+2=9[/tex]
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero
Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft
Answer:
24
Step-by-step explanation:
i did it on edge
The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side in the right triangle."
What is Pythagoras theorem?"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."
What is sine of angle?"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "
For given question,
Consider the following figure.
In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.
WY represents the ladder.
that is the hypotenuse of right triangle WXY is the length of the ladder.
A ladder leans against a building and forms a 75 degree angle with the ground
⇒ ∠WYX = 75°
Consider the sine of ∠WYX .
[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]
This means the hypotenuse WY is approximately 24 ft.
Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
Learn more about the hypotenuse here:
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solve for x, i'll give brainiest.
Answer:
16
Step-by-step explanation:
6x=2x+68
6x-2x=68
4x=68
x=17
Answer:
17 or 16
Step-by-step explanation:
you will get 16 but if you round it then it's 17
Prove the sum of three consecutive is divisible by three, that the sum of 5 consecutive integers is divisible by 5, but the sum of four consecutive integers is not divisible by 4
Answer:
Proved
Step-by-step explanation:
Solving (a):
Let the numbers be: [tex]x, x + 1, x + 2.[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2[/tex]
Collect Like Terms
[tex]Sum = x + x + x + 1 + 2[/tex]
[tex]Sum = 3x + 3[/tex]
Divide sum by 3.
[tex]Result = \frac{Sum}{3}[/tex]
[tex]Result = \frac{3x+3}{3}[/tex]
[tex]Result = \frac{3(x+1)}{3}[/tex]
[tex]Result = x + 1[/tex]
Hence, this is true because there is no fractional part after the division
Solving (b):
Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]
[tex]Sum = 5x+10[/tex]
Divide sum by 5.
[tex]Result = \frac{5x + 10}{5}[/tex]
[tex]Result = \frac{5(x + 2)}{5}[/tex]
[tex]Result = x + 2[/tex]
Hence, this is true because there is no fractional part after the division
Solving (c):
Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]
[tex]Sum = 4x+6[/tex]
Divide sum by 4.
[tex]Result = \frac{4x + 6}{4}[/tex]
Split
[tex]Result = \frac{4x}{4} + \frac{6}{4}[/tex]
[tex]Result = x + 1.5[/tex]
The 1.5 means that the sum can not be divisible by 4
the point p and all points to the left and right of P
Answer:
ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5
Step-by-step explanation:
;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
____ is a line that passes through exactly one point on a circle
Answer:
Radius????????????????
My boys got me I’m giving brainliest
Answer:
B
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP
I WILL GIVE A BRAINLIEST TO WHOEVER ANSWERS RIGHT
what is the square root of 2.4 divided by the reciprocal of 3 , divided by 0.483?
My answer is 1.192 I hope this helps u
Answer:
9.622318872565011
Step-by-step explanation:
The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967
And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:
1.549193338482967 x 3= 4.6475800154489
Finally, divide it by 0.483:
9.622318872565011
Tip: you should use a calculator on questions like these.
Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her total cards to her friend. If Carlos has 76 cards, how many cards do they have together?
Answer:
247 cards
Step-by-step explanation:
Misha : Carlos = 9 : 4
Carlos = 76 cards
Misha = x cards
9 : 4 = x : 76
9/4 = x/76
Cross product
9 * 76 = 4 * x
684 = 4x
x = 684 /4
x = 171
Misha = 171 cards
how many cards do they have together?
Total cards altogether = Misha + Carlos
= 171 cards + 76 cards
= 247 cards
Total cards altogether = 247 cards
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x is greater than or equal to 42 inches (I can't do the smybol for it)
Step-by-step explanation:
Determine the value of z
Answer:
C
Step-by-step explanation:
First we need to find out y.
5y + 45 = 180 (angles on straight line)
y = 27
5y = 135
Then we could apply the angle sum of a pentagon to find out z.
90 + 5y + z + 82 + 135 = 180(5-2)
442 + z = 540
z = 98 i.e. C
Rob and Matt made 55 cups of lemonade
for their lemonade stall. Rob made 7 more
lemonades than Matt.
How many lemonades did Matt make?
Answer:
Rob made 31, and Matt made 24
Step-by-step explanation:
55 in total
Rob made 7 more do 55 - 7 = 48
48 / 2 = 24
24 for Matt
24 +7 = 31
31 for rob
Answer:
24 cups of lemonade
Step-by-step explanation:
Rob made 7 more then Matt. You could say that Matt made 24 and Rob made 31 and it would be correct.
Simplify. Remove all perfect squares from inside the square root. V125
Answer:
5 square root5
Step-by-step explanation:
Please help help help help help im having trouble with this problem what is the answer
What is the value of the expression 19 - ?
need to know soon! please help
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
From birth to age 1, baby elephants grow about 220%. If an elephant was 400 pounds at birth, how much does it weigh at age 1?
Answer:
840lbs because that's how much
Answer:
880 pounds
Step-by-step explanation:
400 x 2.2 = 880
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
The total of their ages is 125
years.
Work out the age of each person.
(4 marks)
Ali years=
Bhavara years=
Ceris years=
Ali = Y
Bha = 2Y
Cer = Y - 3
Then
Y + 2Y + Y-3 = 125
4Y - 3 = 125
4Y = 128
Ali = Y = 32
Bha = 2Y = 64
Cer = Y - 3 = 29
Hope it Helps :)
The ages of each person are,
⇒ Ali years = 32
⇒ Bhavana years = 64
⇒ Ceris years = 29
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ali is y years old.
Bhavara is twice as old as Ali.
Ceris is 3 years younger than Ali.
And, The total of their ages is 125 years.
Now,
Since, The age of Ali = y
And, Bhavara is twice as old as Ali.
Hence, The age of Bhavara = 2y
And, Ceris is 3 years younger than Ali.
Hence, The age of Ceris = y - 3
Here, The total of their ages is 125 years.
Hence, We get;
⇒ y + 2y + y - 3 = 125
⇒ 4y - 3 = 125
⇒ 4y = 125 + 3
⇒ 4y = 128
⇒ y = 32
Thus, We get;
The age of Ali = 32 years
The age of Bhavara = 2y
= 2 × 32
= 64 years
The age of Ceris = y - 3
= 32 - 3
= 29 years
Learn more about the mathematical expression visit:
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what does x equal in this problem? x/12 - 5 = -6
Answer:
x=-12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
Gym B charges $1.05 less per hour than Gym A.
Gym B charges $1.50 less per hour than Gym A.
Gym B charges $5.25 less per hour than Gym A.
Gym B and Gym A charge the same hourly rate for childcare.
someone, please help !!
Answer:
gym a and b charge the same
Step-by-step explanation:
5 mins x 12 = 60 mins o.75 x 12 = 9
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
$0.75 per 5 minutes
$9.00 per haur
5 × 12 = 1 haur
$0.75 × 12 =$9.00
A repeating decimal + A fraction
Answer:
3.33333333333+1/3=3.6666666666666666
Answer:
yup you're correct, nice job
I honestly don't get this, need help
what do you need help with?
HELP ME PLEASE.......
Answer:
Y intercept: 1
Slope: -1/3
Equation would be y=-2/3x+1
Step-by-step explanation:
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats