Answer:
The vertex form of the quadratic function, f(x) = a·(x - h)² + k
Step-by-step explanation:
The general form of a quadratic function is given as follows;
f(x) = a·x² + b·x + c
The vertex form of the quadratic function is f(x) = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex of the parabola
h = -b/2·a, k = f(h)
Carmen likes to ski. The ski resort where she goes to ski got 3.2 feet of snow during a 5 day period. The average daily snowfall for a given number of days is the quotient of the total amount of snow and the number of days. Estimate the average daily snowfall.
Answer:
0.64 feet or 7.68 inches of snow on average over the 5 days.
Step-by-step explanation:
3.2/5
0.64ft
7.68in.
Can someone help me with this math homework please!
Answer:
3. The number of students that rode on each bus
Step-by-step explanation:
The equation they give us is:
2b + 6 = 70
The question already tells us that in this equation:
2 is the 2 buses that the school hired
6 is the 6 leftover kids who couldn't fit on the 2 buses
The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).
So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.
Hope it helps (●'◡'●)
Find the area
Help me please
Answer:
143
Step-by-step explanation:
to find the area we multiply half of the sum of the bases with height
(18+8)/2*11 = 143
Covert 1.18 into a fraction
Answer:
13/11
Step-by-step explanation:
| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.
To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.
If x = 0.18 recurring
100x = 18.18 recurring
99x = 18
x = 18/99
= 2/11
Now, we add on the 1.0 (11/11) to get 13/11
A movie rental store gives free popcorn to every 40th
customer and a free movie rental to every 45th
customer. Which customer was the first to win both prizes?
Answer:
360th customer
Step-by-step explanation:
To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360
360 is the first multiple that is same for multiples of 40 and 45
So the 360th customer will receive both items.
(Sorry if my explanation is hard to understand. I haven't done this kind of math in a while)
Hope it helps (●'◡'●)
Which set of variables below is most likely to have a positive correlation?
A. Amount of miles driven in a car and country in which the car doing the driving was made
B. Amount of miles driven in a car and amount of gasoline left in the gas tank
C. Amount of miles driven in a car and model year of the car used to do the driving
D. Amount of miles driven in a car and amount of gasoline used
Answer:
D
Step-by-step explanation:
The amount of miles increase and the amount of gasoline used increases
A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?
Answer: a good amount
Step-by-step explanation:
because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
(1/3) r2 =(1/3) r +14
1/6 divided by 83 r + 14
97r
i think...
I hope this helps you!
XoXo Mashayla
Step-by-step explanation:
a right triangle is 18 inches long and a hypotenuse that is 30 inches long. what is the perimeter, in inches, of this triangle?
Answer:
The perimeter is 72 inches
Step-by-step explanation:
using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.
[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]
now you just add the values, 30 + 24 + 18
Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women
Answer:
The number of ways is 26,400 ways
Step-by-step explanation:
Given;
total number of men, M = 10
total number of women, W = 12
number of committees to be formed = 6
If there must be equal gender, then it must consist of 3 men and 3 women.
[tex]The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways[/tex]
Therefore, the number of ways is 26,400 ways
Plz help me I don’t understand
Answer:
Step-by-step explanation:
Take two points on the line and find the slope.
(1 , 2) ; (4 , 4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]
[tex]=\frac{4-2}{4-1}\\\\=\frac{2}{3}[/tex]
m = 2/3 & (1 , 2)
Slope point form : y - y1 = m(x-x1)
[tex]y - 2 = \frac{2}{3}*(x - 1)\\\\y - 2 =\frac{2}{3}x - \frac{2}{3}\\\\y =\frac{2}{3}x-\frac{2}{3}+2\\\\y = \frac{2}{3}x-\frac{2}{3}+\frac{2*3}{1*3}\\\\y=\frac{2}{3}x-\frac{2}{3}+\frac{6}{3}\\\\y=\frac{2}{3}x+\frac{4}{3}\\\\Multiply \ equation \ by \ 3\\\\3y = 2x + 4\\\\2x - 3y + 4 = 0[/tex]
resultado da prova da olimpíadas de matemática
can someone help me with this?
Answer:
-64 is the 26th number
it's an arithmetic sequence because the difference between the number is constant : -3
they are all -3 in difference
Step-by-step explanation:
an = a1 + (n-1)d
an = the nᵗʰ term in the sequence
a1=the first term in the sequence
d=the common difference between terms
-64 = 11 + (n - 1)-3
-64=11 -3n+3
-78 = -3n
n = 26
Can you please help with this question. Please please
Answer:
Step-by-step explanation:
5.2*9= 46.8
Do you want to know how to find the answer? :/
The sum of a father's and his son's age is 60. Eight years ago, the father's age was 3 times that of his son. How old is each of them?
Answer:
Father=41
Son=19
Step-by-step explanation:
Father=f
Son=s
f+s=60
Eight years ago would mean that 16 is subtracted from 60 since there is both of them
3s+s=4s
4s=44
s=11
11+8=19
33+8=41
Can someone help me with this math homework please!
Answer:
1. [tex]x=2[/tex]
2. Simplify by combining like terms
3. [tex]x=1[/tex]
4. [tex]k=0.5[/tex]
5. [tex]y=3[/tex]
Step-by-step explanation:
1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]
Distribute within the parenthesis
[tex]15x-10=10+6+2x[/tex]
Combine like terms
[tex]15x-10=16+2x[/tex]
Isolate the variable expression by using the addition/subtraction properties of equality
[tex]13x=26[/tex]
Isolate the variable by using the division/multiplication properties of equality
[tex]x=2[/tex]
2. Like terms are always combined as soon as possible but never before the distributive property is applied.
3. You can find the solution by comparing the tables.
4. [tex]6k+10.5=3k+12[/tex]
Apply the addition/subtraction properties of equality
[tex]3k=1.5[/tex]
Apply the division/multiplication properties of inequality
[tex]k=0.5[/tex]
5. [tex]y+3=-y+9[/tex]
Addition/subtraction properties
[tex]2y=6[/tex]
Division/Multiplication properties
[tex]y=3[/tex]
A student can walk to school in 3/4 of an hour. She can ride to school in 1/6 of that time. What fraction of an hour does it take the student to bike to school?
Answer:
1/8 of an hour
Step-by-step explanation:
3/4 x 1/6 = 3/24 = 1/8
Hope this helps!
Evaluate the expression 2
2^5 = 32
Hope this helps! :)
Answer:
32
Step-by-step explanation:
[tex]2^{5}[/tex]
= 2 × 2 × 2 × 2 × 2
= 4 × 4 × 2
= 16 × 2
= 32
50 pts pls help
What is the range of the function shown on the graph above?
Answer:
[0, 7]Step-by-step explanation:
The range is the set of y-values.
The graphed function has its range between 0 and 7, both inclusive.
So the range is:
y ∈ [0, 7]Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Answer:
x = his sister's height = 19 inches
Step-by-step explanation:
Let
x = his sister's height
Jahlil's height is given by the equation:
4x - 6 = 70
4x = 70 + 6
4x = 76
x = 76/4
x = 19 inches
x = his sister's height = 19 inches
Check:
4x - 6 = 70
4(19) - 6 = 70
76 - 6 = 70
70 = 70
685 gym members were asked if they use the elliptical machine or treadmill as their primary cardiovascular exercise. 257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
a.) Organize this using a venn diagram (2 marks)
b.) A gym member is chosen from this group. What is the probability that this member uses the treadmill only? (1 mark)
Given:
Total number of gym members = 685
257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
To find:
a. The venn diagram.
b. The probability that a member uses the treadmill only?
Solution:
(a)
We have,
Total number of gym members = 685
Treadmill user = 257
Elliptical user = 157
Who use both = 85
Only treadmill user is:
[tex]257-85=172[/tex]
Only Elliptical used
[tex]157-85=72[/tex]
Therefore, the venn diagram for the given situation is shown below.
(b)
The member who use treadmill only = 172
Total user = 685
The probability that a member uses the treadmill only is:
[tex]P(\text{Only treadmill})=\dfrac{\text{Only treadmill users}}{\text{Total users}}[/tex]
[tex]P(\text{Only treadmill})=\dfrac{172}{685}[/tex]
Therefore, the probability that a member uses the treadmill only is [tex]\dfrac{172}{685}[/tex].
What conclusion would be true given the hypothesis?
Answer:
4th option
Step-by-step explanation:
If ∠ 1 = ∠ 2 = ∠ 3
Then ∠ 1 = ∠ 3 is true
Answer:
The second one the measure of angle?1 is less then angle 3 is the correct answer.
plss, help me!!!
Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 wich are blend. Each one orders a different color ( no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
===========================================================
Explanation:
Let's label the friends as A,B,C,D.
Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.
Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.
Person C's probability is 5/14 and person D has a probability of 4/13
-------------------------
So we have these fractions: 7/16, 6/15, 5/14, 4/13
Once again, we have the numerators and denominators counting down by 1 each time.
Multiplying those fractions gets us...
(7/16)*(6/15)*(5/14)*(4/13)
(7*6*5*4)/(16*15*14*13)
840/43680
(1*840)/(52*840)
1/52
So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.
1/52 = 0.0192 = 1.92% approximately
So this happens about 1.92% of the time.
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases
(a+1)(b+2)
please help me!!!
Answer:
(a + 1) (b + 2 ) = 2a + b + ab + 2
Step-by-step explanation:
[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]
[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]
Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]
Method Used:↦ Distributive Property.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Evaluate the expression.
32 + 6 x 22-42 - 23
Answer:
25
Step-by-step explanation:
You need to simplify
.
.
.
.
................... :)
Answer:
D
Step-by-step explanation:
9+24-16+8= 25
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
A boutique was having a 20% storewide sale.Erica bought 2 dresses which originally cost $80 each.How much savings did Erica enjoy?
Answer: $32
Step-by-step explanation:
Since the boutique was having a 20% storewide sale and Erica bought 2 dresses which originally cost $80 each, therefore the sale for each dress will be:
= $80 - (20% × $80)
= $80 - (0.2 × $80)
= $80 - $16
= $64
Therefore, on each dress Erica saves $16. The amount of savings enjoyed will then be:
= $16 × 2
= $32
Find the x of a triangle.
This triangle is an isosceles triangle because it has two congruent sides. Therefore, the two bottom angles are also congruent. And, the sum of the interior angles of a triangle is 180 degrees.
180 = 104 + (9x - 25) + (9x - 25)
180 = 104 + 18x - 50
180 = 54 + 18x
126 = 18x
x = 7
Hope this helps!
(4x^ 8 y^ 4 +2xy^ 2 -2y)-(-7x^ 2 y)^ 3 +6xy^ 2 -2y) place the correct in difference
