Answer:
[tex]f(x)=0.5x^2-4x+7.5[/tex]
Step-by-step explanation:
The general form of a quadratic function is:
[tex]y=ax^2+bx+c[/tex]
We'll find the general form of the function:
[tex]f(x)=0.5(x-3)(x-5)[/tex]
Multiplying the expressions in parentheses:
[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]
Simplifying:
[tex]f(x)=0.5(x^2-8x+15)[/tex]
Operating:
[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]
find the slope of the line passing through the points (-5,5) and (-5,-8)
Answer:
1
Step-by-step explanation:
5-8 -3
----------=
-5--8 -3
-3
-----= 1
-3
Hope this helps!
Kiran and Clare live 28 miles away from each other along a rail trail Kiran walks at a speed of 3 miles per hour while Clare walks 4 miles per hour how long will it take the two friends to meet
Answer:
Step-by-step explanation:
Total distance between Kiran and Clare is 24 miles. They started walking at 8.00 am.
Speed of Kiran is 3 miles/hr and speed of Clare is 3.4 miles/hr.
So the relative speed of them is,
miles/hr
Both the speed are added as they moving in opposite direction.
We know that,
i.e
Putting the values,
As they started at 8.00 am, so the time at which will meet will be,
Step-by-step explanation:
Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is true.
Answer:
The polynomial is [tex]x^3-2x^2-x+2[/tex]
Leading coefficient is 1
Step-by-step explanation:
We need to determine the leading coefficient of polynomial p having roots
-1,1 and 2 and p(3)=24
Roots of polynomial are: -1,1,2
We can write them as:
x=-1, x=1, x=2
x+1=0, x-1=0, x-2=0
or:
(x+1)(x-1)(x-2)=0
Multiplying the terms to find the polynomial:
[tex](x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0[/tex]
So, The polynomial is [tex]x^3-2x^2-x+2[/tex]
The leading coefficient is the coefficient with highest power So, in polynomial we have highest power [tex]x^3[/tex] so, leading coefficient is 1
Which is a possible leading term for the graph
shown?
2x^3 -2x^3 2x^4 -2x^4
Answer:First answer 2x^4. Second answer + and +
Step-by-step explanation:
Just did it on edge
Answer:
C
Step-by-step explanation:
I’m smart
Find the value of x that makes FGH~JKL
I WILL GIVE BRAINLIEST
Given ΔDEF : ΔRST, find x.
12
15
16
64
Answer:
The answer would be 12, I am very sure. :)
There are 24 hours in 1 day. If you sleep 30% percent of the day how many hours do you sleep
Step-by-step explanation:
30%of24
30÷100×24
7.2
A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?
Answer:3.6
0
Step-by-step explanation:
Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4
This is the last giveaway for today!!
if you could be any movie character who would you be?
Answer:
I would be Channel #2 from scream queens
Step-by-step explanation:
Why just because she was the first one that came to mind :)
Answer:
Stitch from Lilo and Stitch ^^
Step-by-step explanation:
That movie always was a favorite of mine, also, so fluffy!
which expressions are equivalent to 3x+2(x-1)-4
Answer:
5x - 6
Step-by-step explanation:
Do the distributive property and your equation should look like this 3x + 2x - 2 - 4
Then combine like terms
You get 5x - 6
pls mark branliest
answer
5x - 6
Step-by-step explanation:
Do the distributive property and your equation should look like this 3x + 2x - 2 - 4
Then combine like terms
You get 5x - 6
pls mark brainliest
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
She dove 75 feet under the sea
Solve. f/9 - 21 = -27f=
Step-by-step explanation:
f/9+27f=21
f(1/9+27)=21
f(244/9)=21
f=189/244
Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.
A) 7/9 = 3/21
B) 7/21 = 3/9
C) 21/7 = 3/9
D) 7/21 = 9/3
Answer:
7/21=3/9 is the proportion of 7:21=3:9
75=-5(3+6m) I need this
if the expression (2y^a)^4 is equivalent to 16y^8, what is the value of a
Answer:
A = 2.
Step-by-step explanation:
When raising power to power and there is a base with a exponent and a coefficant, you need to know that the a exponent only belongs to the y. The 2 has a invisible 1 exponent. The new expression is now (2^1 y^a)^4 = 16y^8. Now it is time to solve it. 1x4 = 4 so it is (2^4 y^a) = 16y^8. 2^4 is also 2x2x2x2 which equals 16. Now for the a exponent, 8/4 = ?. 2. The new expression is 16y^2 and a = 2.
if one apple cost 5 rupee orange cost 0.5 rupee and grape cost 0.25 rupee . find the number of apple orange ad grape we can buy from 20 rupee.
Answer:
3
Step-by-step explanation:
Add all the costs of the fruit.
5.75
Then divide it by 20.
= 3.4782.....
You can't have a quarter or half and apple so you round down.
Son answer is 3.
Hope this has helped!
Jasim has invested 600 dinars in a business at the rate of 4 % for 3 years. Find his
i- simple interst ?
ii- total amount after 3 years
Answer:
Simple interest=72dinars
Total amount=672dinars
Step-by-step explanation:
i.Simple interest=(P×R×T)/100
Interest=(600×4×3)/100=72dinars
ii.Total amount after 3years=Principal+Simple interest
=600+72=672 dinars
WHAT IS THE VALUE OF THIS EXPRESSION BELOW WHEN Z=3
3z-1?
Answer:
8
Step-by-step explanation:
3(3)-1
=9-1
=8
PLS GIVE BRAINLIEST
Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as a function of time t in seconds whatvare the solutions
Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option
Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7
Answer:
y = (-3/2x) + (35/4)
Step-by-step explanation:
So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:
2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)
So, the slope of the perpendicular line will be (-3/2x)
Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):
8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)
So, y = (-3/2x) + (35/4)
Hope that helps! :D
you convert 71,100,000 into scientific notation?
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework. Help
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread
Answer:
a) cblo
2)$3.44
Step-by-step explanation:
4 cans and 3 loaves=11.67
8 cans and 1 loaf= 12.89.
Set up equation:
x=cans
y=loaves
[tex]4x+3y=11.67\\8x+y=12.89[/tex] This is the answer for question A.
Multiply eq1 by 2:
[tex]8x+6y=23.34[/tex]
Subtract eq3 by eq2:
[tex]5y=10.45\\y=2.09[/tex]
Substitute:
[tex]8x+2.09=12.89\\8x=10.8\\x=1.35[/tex]
One can of soup and one loaf of bread=
[tex]1.35+2.09 or 3.44[/tex]
So:
[tex]$3.44[/tex]
Hope this helps :D Please hit the crown if u can !!
a. The equation should be
4x + 3y = $11.67
8x + y = $12.89
b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09
The calculation is as follows:
here we assume the soup be x and bread be y
So, the equations are
4x + 3y = $11.67 .........(1)
8x + y = $12.89.........(2)
Here we need to multiply by 2 in equation 1
8x + 6x = $23.34
8x + y = $12.89
5y = $10.45
y = $2.09
Now x should be
8($2.09) + y = $12.89
x = $1.355
Learn more: https://brainly.com/question/4804019?referrer=searchResults
tiffany answered 90% of questions on her math test correctly there were 50 questions on the test how many questions did tiffany answer correctly
i need help with this pleasee
Answer:2 2/15
Step-by-step explanation:
4/5= 12/15
+1 1/3 =5/15
1 and 17/15
17/15= 1 and 2/15 +1= 2 and 2/15
798/6 plsssssss help
Answer:
133
Step-by-step explanation:
If you divide 798 by 6 you would get 133
Plz mark brainliest
Answer:
133
The question wasn't really specific, so I guess this is the answer? If the question is something else, I can edit this answer or delete it if I can't solve.
please help with this
i’ll give brainlist
Answer:
i think c
Step-by-step explanation:
A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
A decagon is a ten-sided polygon.
The value of n could be 252 degree.
Since, A Decagon has 10 sides
The angle made in one complete rotation is 360 degree.
Now find angle made in each rotation is,
[tex]=\frac{360}{10}=36degree[/tex]
Now, we have to find possible values of n.
Since, n must be a multiple of 36
Apply hit and trial from given option.
We observe that from given options, only 252 degree is multiple of 36.
Therefore, value of n could be 252 degree.
Hence, option 4 is correct.
Learn more:
https://brainly.com/question/9549251
Helppp plzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.
Answer:
F. not enough information
Step-by-step explanation:
there are no markings as to the lengths and there is no way of knowing
Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?
Answer:
1/2 cup of nuts
Step-by-step explanation:
If it takes 1/4 cups of nuts to make 17 cookies
Then it takes 1/4 * 1/17 = 1/68 cups of nut to make 1 cookie
So,
If 1/68 cups of nut are needed to make 1 cookie
To make 34 cookies we need;
34 * 1/68 = 1/2 cup of nuts