I will set it up for you only.
Let a = adult tickets
Let s = student tickets
Here is your system of equations:
a + s = 800
12a + 8s = 7500
x^2-4x+3=0 determine the nature of the roots
x^2 - 4x + 3 = 0
Factor the left side.
What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?
How about -1 times -3?
Yes, (-1)(-3) is 3 but when added yield -4.
(x - 3)(x - 1) = 0
Set each factor to 0 and solve for x.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
The word root is just another word for solution or the zero of a polynomial.
Answer: x = 1 or x = 3 are the roots.
Can someone please check if it’s correct??
Answer:
these both are ture
Step-by-step explanation:
Please help
Find the are of the trapezoid given the following
9514 1404 393
Answer:
A = 8x³ +4x² -4x
Step-by-step explanation:
Put the given values into the area formula and simplify.
[tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]
Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?
Answer:
7/10
Step-by-step explana
7/10 was the answer
Answer:
7/10
Step-by-step explanation:
Which of the following systems of linear equations has no solution?
Answer:
3rd choice
Step-by-step explanation:
The answer is the 3rd choice.
x cannot be 3 and 5 at the same time.
x = 3
x = 5
Subtract the first equation from the second equation.
x - x = 5 - 3
0 = 2
Since 0 = 2 is a false statement, there is no solution.
Answer: 3rd choice
30=-6x+6
Solve the equation
Answer:
-4
Step-by-step explanation:
24 = -6x
-4 = x
............
Answer:
x = -4
Step-by-step explanation:
30 = - 6x + 6
- 6x = 30 - 6
- 6x = 24
- x = 24 / 6
- x = 4
x = - 4
A square has a diagonal length of 13m what is the side length of the square round to the nearest centimeter?
Answer:
a≈9.19m
Step-by-step explanation:
If the midpoint of the line segment is AB has coordinates (3, -1) and A (-5,0) then:
B=
QUICK PLEASE!!!
answer this question and show work or have an explanation.
Answer:
70
Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.
Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.
40 + 2x = 180. Subtract 40 from both sides.
2x = 140. Divide both sides by 2.
X = 70
16x2-1
O A. (2x - 1)(8x - 1)
O B. (4x - 1)(4x + 1)
O C. (2x - 1)(8x + 1)
O D. (4x - 1)(4x - 1)
Help
Answer:
D is the answer (4x - 1)(4x + 1)
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Complete Question
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answer:
Center Z score = 4.5
The score is unusual
Step-by-step explanation:
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
The formula for z score is:
z = (x-μ)/σ, where
x is the raw score = 6.9feet
μ is the population mean = 6feet
σ is the population standard deviation = 0.2 feet
Hence:
Z = 6.9 - 6/0.2
Z = 0.9/0.2
Z = 4.5
Yes this score is unusual
A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle
Answer:
suppose length is x
breadth is y
now,
x.y=18
2(x+y)= 18
x= 3
y=6
Step-by-step explanation:
Which function is equivalent to y=3(x−2)^2+6?
y=3x^2−12x+30
y=3x^2+10
y=3x^2−4x+10
y=3x^2−12x+18
Two possible plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? Show your work. Explain the reasoning.
Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
(x+3)•4=(x+4)•2+(x+1)•2
Step-by-step explanation:
4x+12=2x+8+2x+2
4x-2x-2x=-12+8+2
0=-2
this expression is indeterminate.
1x+2x+3x=180 find the measure of each angles.
Answer:
x=30 is the answer no hate if I'm wrong :)
Step-by-step explanation:
The sum of angles in a triangle is 180 so we add them all and we get x=30.
Then find the measure of each angle by substitution.
What story does the graph tell about the turtle's
journey?
Need fast
What is the area of this shape?
A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared
Answer:
A. 42 cm²
Step-by-step explanation:
Rectangle Area: lw
Put the measurements into the expression
(7)(5)
7•5 = 35
Triangle Area: 1/2bh
1/2(7)(2)
1/2(14)
7
Add them together: 35 + 7 = 42 cm²
Select all the values that are equivalent to -(7/8)
Answer:
last option
the correct answer is
- (- 7 / - 8)
Expressed in simplest radical form, the product of √6 and √15 is
Josie runs a 25-mile race in 5 hours. What is her speed in miles per hour?
HELPPPPPPP!!!!!! i need this today
Answer:
(d) 78√3
hope it is right answer for it !!
Help me on this because I am so confused
What is the average rate of change over the interval 1≤x≤3
9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
YOOOO SOMEONE HELP ME
Answer:
180 degrees in either direction
Step-by-step explanation:
picture it on a piece of paper, if you turn it once, the image becomes longer vertically, but if you flip it again, it looks like it does originally. If this is confusing, actually draw it and see how many times you need to rotate the page to make it look identical to the one you posted. 1 turn = 90 degrees.
What is the quotient of 2.262 and 0.13? Select one: A. 11.5 B. 12.3 C. 15.9 D. 17.4
When the angle of elevation to the sun is 52", a tree casts a shadow that is 13 feet long. What is
the height of the tree? Round to the nearest tenth.
Answer:
72
Step-by-step explanation:
Answer:
x=10.156713
Step-by-step explanation:
tan(52)=13/x
Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?
Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?
A. 100%
B. 25%
C. 50%
D. 75%
Answer:
C
Step-by-step explanation:
Answer: 25%
Step-by-step explanation: Sorry this is late
HELPPP PLEASEEEEE
Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2
in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?
Answer:
17 grams
Step-by-step explanation:
21grams-4=17grams
Answer:
17 grams
Step-by-step explanation:
Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).