Answer:
3
Step-by-step explanation:
• What is the total number of pencils that Mr. Moretti gives to his students
if he puts 3 mechanical pencils in each bag?
Answer:162
Step-by-step explanation:
162
A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet up in the air. Noemi’s team is working together to write the quadratic equation to model the path of the golf ball in graphing form. She calculated the value of a = - 1/90 . Is she correct?
Answer:
No she isn't. The value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]
Step-by-step explanation:
We know that all quadratic equation can be written in the following way :
[tex]y=ax^{2}+bx+c[/tex] (I)
Where [tex]a,b[/tex] and [tex]c[/tex] are real numbers.
I will attach a drawing with the quadratic graph to understand the situation.
We know by looking at the drawing and analyzing it that the parabola passes through the points : [tex](0,0) ; (60,80)[/tex] and [tex](120,0)[/tex]
[tex](0,0)[/tex] because we put our coordinates origin there.
[tex](120,0)[/tex] because that's where the golf hole is.
And [tex](60,80)[/tex] because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).
Finally, we work with the three points and the equation (I) in order to find the values of [tex]a,b[/tex] and [tex]c[/tex] ⇒
The parabola passes through [tex](0,0)[/tex] ⇒
[tex]y=ax^{2}+bx+c[/tex] ⇒
[tex]0=a(0)^{2}+b(0)+c[/tex] ⇒ [tex]c=0[/tex]
The parabola passes through [tex](60,80)[/tex] ⇒
[tex]80=a(60)^{2}+b(60)[/tex] ⇒
[tex]80=3600a+60b[/tex] (II)
The parabola passes through [tex](120,0)[/tex] ⇒
[tex]0=a(120)^{2}+b(120)[/tex] ⇒
[tex]0=14400a+120b[/tex]
[tex]120b=-14400a[/tex]
[tex]b=-120a[/tex] (III)
Now if we use (III) in (II) ⇒
[tex]80=3600a+60(-120a)[/tex]
[tex]80=3600a-7200a[/tex]
[tex]3600a=-80[/tex]
[tex]a=-\frac{1}{45}[/tex] ⇒ [tex]b=\frac{8}{3}[/tex]
Finally the equation of the parabola is
[tex]y=-\frac{x^{2}}{45}+\frac{8}{3}x[/tex]
Where the value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]
Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope
Answer:
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
Step-by-step explanation:
We will find the slope of each line to check the type of slope.
Slope is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point
Now,
(2, 4) and (5, 1)
[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]
The slope is negative.
(3,5) and (-1,2)
[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]
The slope is positive
(-7, 8) and (-7,0)
[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]
division by zero makes the slope undefined.
(6.-3) and (4, -3)
[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]
The slope is zero
Hence,
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
Answer:b
Step-by-step explanation:
2(3x-(2x-3(3x+1)+5x)
Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.
Step-by-step explanation:
Triangle ABC has 3 medians drawn creating centroid D. If a centroid creates a 2:1 ratio and one median is 24 inches, what is the larger piece?
PLS HELP ASAP! WILL MARK BRAINLEST!! THX :)
Answer: The larger piece is 16 inches
Step-by-step explanation: Median of a triangle is a line segment uniting a vertex and the midpoint of the opposite side. A triangle has 3 medians and the point where these 3 intersect is called centroid.
The ratio of one median is 2:1, which means the line segment is divides by the centroid into two parts, one the double of the other. So:
2x + x = 24
3x = 24
x = 8
Then, the larger piece is
2x = 2(8) = 16
The larger part of the median measuring 24 inches is 16 inches
In the figure, what is the value of X?
Answer: I think it's 12
what is the coefficiant of (x^4)( y^3) iterm in the expansion of (x-2y)^7
Answer:
The coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280
Step-by-step explanation:
Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;
1 7 21 35 35 21 7 1
Thus;
[tex](x - 2y)^{7}[/tex] = 1. [tex]x^{7}[/tex] + 7.[tex]x^{6}[/tex](-2y) + 21.[tex]x^{5}[/tex][tex](-2y)^{2}[/tex] + 35.[tex]x^{4}[/tex][tex](-2y)^{3}[/tex] + 35.[tex]x^{3}[/tex][tex](-2y)^{4}[/tex] + 21.[tex]x^{2}[/tex][tex](-2y)^{5}[/tex] + 7.x[tex](-2y)^{6}[/tex] + [tex](-2y)^{7}[/tex]
= [tex]x^{7}[/tex] -14[tex]x^{6}[/tex]y +84[tex]x^{5}[/tex][tex]y^{2}[/tex] -280[tex]x^{4}[/tex][tex]y^{3}[/tex] + 560[tex]x^{3}[/tex][tex]y^{4}[/tex] - 672[tex]x^{2}[/tex][tex]y^{5}[/tex] + + 448x[tex]y^{6}[/tex] - 128[tex]y^{7}[/tex]
Therefore, the coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280
if the function g has the factors (x-7) and (x+6), what are the zeros of function g?
2х + Зу = 3 y = 8 – 3х
Answer: Point form: ( 3 , -1 )
Equation form: X= 3 and Y= -1
Step-by-step explanation:
70 POINTS
Select the correct answer.
Here are four decimal numbers:
0.39, 0.85, 0.731, 0.773
Choose the list that shows the numbers in order from smallest to largest.
A.
0.773, 0.39, 0.85, 0.731
B.
0.773, 0.85, 0.39, 0.731
C.
0.39, 0.731, 0.773, 0.85
D.
0.85, 0.773, 0.731, 0.39
Answer: A
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
If 270 students bought a cheese pizza or a pepperoni pizza, how many lunches were sold on Friday?
Answer:
270
Step-by-step explanation:
they all bought pizza but you dont know what flavor they pick
Answer:
270?
Step-by-step explanation:
Logan ate g out of 16 gumdrops. Write an expression that shows how many gumdrops Logan has left.
Answer:
16-g=x
Step-by-step explanation:
You know you need to subtract because it says ate out of. Next you don't know how many gumdrops Logan ate so they gave a the variable g. Since you don't know how many gumdrops he ate you don't know how many are left. You need another variable to represent how many gumdrops are left.
Get this right and I'll give Brainlist!!!!!!
Step-by-step explanation:
So, we have f / -(2/3) = -(1/3), right?
Well, this means that f = -(1/3) * -(2/3) = positive 2/9 !
Your answer is f = 2/9 :)
Answer:
F = 2/9
Step-by-step explanation:
7. Lin is reading a 146-page book. She read the first 20 pages in 35 minutes. 1 point How many minutes does it take her to finish reading the book?
Answer:
255.5 minutes or 255 minutes and 30 seconds
Step-by-step explanation:
146 pages/ x minutes
20 pages/ 35 minutes
All you have to do is cross-multiply to find the answer.
146x35= 5110
5110/20=x
5110/20= 255.5
x= 255.5
5. A life insurance policy costs $16.00 for every $1,000.00 of insurance. At
this rate, what is the total policy cost for $50,000.00 of insurance.
Answer:
800.00
Step-by-step explanation:
so you give me a hint that was for every 16.00 it was 1000.00
i did 16x50=800
i got 50 from 50 in 50000 and the 16 from 16.00 so then i times 16 from 50 which is 800
1. The ratio of women to men at a construction site is 2 to 4. There are a
total of 60 workers. How many of the workers are women?
The number of kids in a school decreased by 20% between last year and this year. Last year there were 80 kids in the school. What is the population this year? If you get stuck, consider making a table.
Answer:
64
Step-by-step explanation:
Multipy 80 by 80% or 0.80 to find the new population of 20% less
[tex]13b+7b+7a+13a = ?[/tex]
Answer: 20a + 20b
Step-by-step explanation:
Combine the like terms.
13b + 7b = 20b
7a + 13a = 20a
Our answer to the question is 20a + 20b.
How many distinct permutations can be formed using the letters of the word "PAPER"?
Answer:
2 i think
Step-by-step explanation:
Five kittens share 6 cups of milk equally. How much milk does each kitten get?
Answer:
They get .83 cup per.
Step-by-step explanation:
Divide 6 by 5. So do 6 / 5, which gets you 0.833333333
the audience thinks 30% of Brandon's jokes are funny. what fraction of brandons jokes does the audience think are funny??
Answer: 3/10
Step-by-step explanation:first conversation percent to fraction 30/100 then reduce by taking out ten and you get 3/10
HELPO aSaPpp!!! thank you!!!
You could say "7328 dollars and 42 cents", but the shorter format is preferred in my opinion.
====================================
Work Shown:
A = P*e^(r*t)
A = 6000*e^(0.04*5)
A = 7328.41654896153
A = 7328.42
The symbol 'e' is a special number in math similar to how pi = 3.14 is another important symbol. If your calculator doesn't have a button labeled 'e', then replace 'e' with 2.718 to use its approximation.
What is the range of f(x) = -2x + 5 with domain {1, 2, 3, 4}?
O A. {3, 1, -1, -3}
O
B. {7, 9, 11, 13}
O C. {1, 2, 3, 4}
O D. {-7.-9, -11, -13}
Step-by-step explanation:
A IS THEM ANSWER
A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at this pace, how long will it to finish?
Answer:
Step-by-step explanation:
20 Min=30% complete
40 min=60% complete
60 min (1 hr)= 90% complete
67 min=100% complete
Two girls and two boys went to the festival. The total cost of their tickets was $20. Each child paid the same amount for a ticket. What was the cost of each ticket? Solve this problem any way you choose
Answer: $5
Step-by-step explanation: 4 children divided by 20 equals 5
A tennis shoes regularly sells for $20.00. The store advertises a 15% discount. What is the sale price of the necklace in dollars?
Answer:
Shoes with discount = $17
Necklace = Price * 0.85
Step-by-step explanation:
-If the tennis shoes store sells other things than shoes-
Shoes = $20.00
Discount = 15%
*Price expressed as a percentage*
Price without discount = 100%
Price after discount = 100% - 15%
Price after discount = 85%
*Normal price*
Price without discount = 20
Price after discount = 20 * 0.85
Price after discount = 17
PLZZZZZZ HELP!!!!!!!!!!!
Answer:
greater number is 8 lesser number is 3
determine the axis of
symmetry for y=x²+2
Answer:
x=0
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a
in our case
y=x^2+2
a=1 b=0 c=2
so x=-b/2a=-0/2*1=0
x=0 is axis of symmetry
Which is the equation of a line that has a slope of 1/2 and passes through poúru (2,-3)?
o y = 1/2X-4
o y = 1/2 X-2
o y = 1/2 x + 2
o y= 1/2 x+3
Answer:the answer is A
Step-by-step explanation:y=1/2x-4 is the answer I know this because I just took the test
Tito opened a savings account with $100.
He saves $25 per month. Which of the
inequalities below can be used to find the
least number of months it will take Tito to
have $700 saved?
PLEASE HELP!! INEED A EQUATION
Answer:
100+25m=700
Step-by-step explanation:
i just took a good guess so don't trust it :)
Answer: 700/25=28
28x25=700 28 months
Step-by-step explanation:
since he saves $25 per month you have to divide 700 and 25 and you get 28
if You aren’t sure Its right then multiply 25 and 28 and you get 700