OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)
Answer:
3
Step-by-step explanation:
Which is NOT a function?
A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3
Answer:
All are functions
Step-by-step explanation:
A. y = x + 9 A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.
B. x + y = 9
y = -x + 9 A graph of a line. There are no x values that are the same number on the graph. The graph passes the vertical line test
C. x + 3 = y²
[tex]\sqrt{x + 3} = y[/tex] The graph passes the vertical line test. On the graph, there are no x-values that are the same number.
D. y = x² - 3 The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).
i need to find what is 18 divided by 8
Answer:
2.25
Step-by-step explanation:
A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓Question 3
Find the Slope.
(2,8) and (4, -3)
Answer:
5.5
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
plugging your values in, you get 8-(-3)/ 4-2
which is 11/2
11 divided by 2 is 5.5, so that is your slope
Answer:
5.5
Step-by-step explanation:
because the explanation above
How many brownies can you make in an 8x8 inch pan?
Answer:
You can make as many as you want, infinitely smaller but you need to specify the size of the brownies
Step-by-step explanation:
Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.
Answer:
Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.
An equation is shown below:
4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
Group of answer choices
The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
4(x − 3) − 5(x + 1) = 3
The first thing would be distribute the 4 and the 5 respectively
4x-12 -5x-5 =3
solve pls brainliest
Answer:
1) YES
2)NO
3)YES
4)YES
5)YES
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS
What is the solution to -4(8 - 3x) >_6x -8?
O x >_-4/3
O x<_-4/3
O x>_4
Ox<_4
Can someone plz help with this
Answer:
hexagonal prism
Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?
Hallar el área lateral de un cilindro que tiene de radio de la base 10 cm y de altura 5 cm.
Answer:
942.48
Step-by-step explanation:
Jeriel decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?
A catfish with a length of 33 inches would weigh 30 pounds.
Linear equationA linear equation is in the form of:
y = mx + b
where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the catfish weight with x inches length
From the line of best, it passes through (20, 4) and (23, 10), hence:
y - 4 = [(10 - 4)/(23 - 20)](x - 20)
y = 2x - 36
For a length of 33 inches:
y = 2(33) - 36 = 30 pounds
A catfish with a length of 33 inches would weigh 30 pounds.
Find out more on Linear equation at: https://brainly.com/question/14323743
A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons
Answer:
1/3 hours : 22 gallons
1.5 hours : 99 gallons
Step-by-step explanation:
set a proportion fo all of them
x hours : 22 gallons:
66 22
--- = ---
60 x
22/66 = 0.3333333333333 x 60
= 20 and convert to fraction
20/60 simplified is 1/3
1.5 hours : x gallons
66 x
-- = ---
1 1.5
1.5 / 1 = 1.5
1.5 x 66 = 99
x = 99
akiko sells 5 small paintings and 5 large paintings .Each large painting cost $20 more than a small painting .she earns $300. what is the price of a small painting
Answer:
$20
Step-by-step explanation:
small painting: x
large painting: x + 20
5(x + x + 20) = 300
5(2x + 20) = 300
10x + 100 = 300
10x = 200
x = 20
Answer: $20
Savannah decides to download some new music. she downloaded 5 albums and 7 singles, and his total was $71. The next day she purchased more music from the same retailer and downloaded 3 more albums and 6 singles for a total of $48.
Assuming that all albums and singles are the same prices, how much did she spend on each album and each single? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.
Answer:
Step-by-step explanation:
downloaded= 5 albums and 7 singles and total price is $71
Know,
album + singles = 5+7= 12
∴ price÷ from total of albums and singles
$71÷12=$5.92
per album = $5.92
per single = $5.92
Next day;
3+6=9
total price =$48
⇒ =$48÷9 = $5.3
per album= $5.3
per album= $5.3
""""" I just try to Solve """"""
Answer: Singles are $3/each and albums are $10 each.
Step-by-step explanation:
Let A and S represent the number of Albums and Singles, respectively.
We are told that:
5A + 7S = $71
and also that:
3A + 6S = $48
We have two equations and 2 unknowns. Use elimination to find the price of one and then that will tell us the price of the other. I'll choose to eliminate the A:
5A + 7S = $71
3A + 6S = $48
We can do the elimination in one of 2 ways:
1) Solve one of the equations for A or S, and substitute it in the other:
3A + 6S = $48
3A = $48 - 6S
A = ($48 - 6S)/3
Now use this definition of A in the first equation:
5A + 7S = $71
5(($48 - 6S)/3) + 7S = $71
5(($48 - 6S)/3) + 7S = $71
$80 - 10S + 7S = $71
-3S = - 9
S = $3
Now we can find A:
5A + 7S = $71
5A + 7(3) = $71
5A + 21 = $71
A = $10
======
2) We could also modify one of the equations and then subtract to eliminate a variable:
5A + 7S = $71
3A + 6S = $48
Let's multiply the second equation by -(5/3):
-(5/3)*(3A + 6S = $48)
-5A - 10S = -90
Now add this to the first equation:
5A + 7S = $71
-5A - 10S = -80
- 3S = - 9
S = $3 and therefore A = $10
Old Faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height of a nearby tree that casts a shadow 63 feet long? Assume the triangles are similar.
Kenny has 576 baseball cards. He would like
to put them in a blnder. Each binder page
holds 12 cards. 'How many pages does he
need for his baseball card binder?
Answer:
Divide 576 by 12 and you'll get your answer.
Answer:
Kenny will need 48 pages
Step-by-step explanation:
576 into 12 = 48 therefore Kenny will need 48 pages for his baseball card binder.
Amount of baseball cards into How among pages a binder can hold equal Amount if pages needed.
What is 216/162 written as an improper fraction in simplest form?
6/4
4/3
3/2
Answer:
4/3
Step-by-step explanation:
216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3
Answer:
4/3
Step-by-step explanation:
lowest terms is 4/3 e e e. e
sami is making necklaces for a craft show. each necklace is 33.4 cenimeters long. if she has 233.8 centimeters of cord, how many necklaces can sami make
Answer:
Sami can make 7 necklaces.
233.8cm ÷ 33.4 = 7
What is y x y x y simplified
Answer:
y x y x y is simplified as y³
Step-by-step explanation:
Hoped this helped.
Twice the difference of a number 8 equals 5
Answer:
2(n-8) = 5
Step-by-step explanation:
I'm assuming that its supposed to say "a number and 8"
Answer:
x=10.5
Step-by-step explanation:
x will be a number
2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.
Solving
2(x-8)=5
2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16
2x=16+5--> add 16 to other side of x
2x=21--> add like terms
2x / 2 =21 / 2--> single out x
x=10.5 --> 21/2 --> just divide
I need this really quick!!
Answer:
400 ft
Step-by-step explanation:
H = 160t - 16t^2 = 16t(10 - t)
The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).
Let's solve for H = 0
16t(10-t) = 0
t = 0 or 10 - t = 0
t1 = 0, t2 = 10
the maximum is at (t1+t2)/2 = 5
H(5) = 16*5(10-5) = 80*5 = 400
PLEASE HELP!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is
A. True
that is correct
Write a mathematical question that explains the following sentence:
two more than triple a number is fourteen
two more than triple a number is fourteen might be 2×7=14
Does this table represent a function or not? Why or why not?
Answer:
D. No, because two of the y-values are the same
Step-by-step explanation:
The y values cannot be the same
Answer:C
Step-by-step explanation:
What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?
Please help!
Answer: width= 2x-1 and length= 3x+2
Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20