Answer:
[tex]\bold{y=2.5x^2+7x+3.3}[/tex]
Step-by-step explanation:
Given:
Parabola with
x − intercepts (−2.2, 0) and (−0.6, 0)
and
y − intercept (0,3.3)
To find:
Equation of parabola ?
Solution:
We can use factored form to find the equation of the parabola.
[tex]y=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha, \beta[/tex] are the x intercepts.
Let use put
[tex]\alpha = -2.2\\\beta = -0.6[/tex]
[tex]y=a(x-(-2.2))(x-(-0.6))\\\Rightarrow y =a(x+2.2)(x+0.6)[/tex]
Now, let us put y − intercept (0,3.3) in the above equation to find the value of a.
[tex]\Rightarrow 3.3 =a(0+2.2)(0+0.6)\\\Rightarrow 33 =a(22)(0.6)\\\Rightarrow 3 = 2a\times 0.6\\\Rightarrow a = 2.5[/tex]
So, the equation becomes:
[tex]\Rightarrow y =2.5(x+2.2)(x+0.6)\\\Rightarrow \bold{y=2.5x^2+7x+3.3}[/tex]
I’ll give you 20 points if you help me
Answer:
f(g(x)) = 2x +(-5)
Step-by-step explanation:
Put the argument value into the function and simplify the result.
f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1
f(g(x)) = 2x +(-5)
Explain why the following statements are equivalent: x + (y + 9) = (x + y) + 9
Answer:
There are no like terms hence they stay the same
Step-by-step explanation:
x + (y + 9)
There are no like terms
=x+y+9
(x + y) + 9
There are no like terms
=x+y+9
Answer:get into it
Step-by-Stefan:
PLEASE HELP HELP ASAP
Answer:
12.7311111111111 on and on
Step-by-step explanation:
Answer:
the height of the cylinder is 40 meters
Step-by-step explanation:
Use the formula they give you for the volume, and the fact that it has to equal 1000 [tex]\pi[/tex] cubic meters. Recall also that the cylinder's radius is 5 meters:
[tex]Vol=\pi\,R^2\,h\\1000\,\pi= \pi\,(5)^2 \,h\\1000\,pi=\,\pi\,25\,\,h\\h=1000\,\pi/(25\,\pi)\\h=40 \,\,m[/tex]
Gina gets money from her grandfather every day for the entire week of her birthday, starting on Monday. She gets $2 on Monday, $4 on Tuesday, and the previous day's amount gets multiplied by 2 each day. Which of the following would represent how much money Gina would receive on Thursday?
Answer:
Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather
Step-by-step explanation:
A. 2^5
B. 2^4
C. 2^3
D. 2^2
Gina gets:
Monday =$2 = $2^1
Tuesday =$4 = $2^2
Previous day's amount get multiplied by 2
Wednesday = Tuesday's amount × 2
= $4 × 2
= $8
= $2^3
Thursday = Wednesday's amount × 2
= $8 × 2
= $16
= $2^4
Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather
Answer:
the answer is 2^4
Step-by-step explanation:
What is the domain of the function represented by the graph?
Answer:
I believe its c
Step-by-step explanation:
The domain of a quadratic function is all real numbers
Answer:
See Below
Step-by-step explanation:
FInd BD, Given FE=23.5 will mark Brainliest please answer ASAP
=================================================
Explanation:
Points B, C, and D are midpoints of triangle AFE. This is due to the similar tickmarks showing how the segments are congruent (eg: AB = BE).
Because we have D and B as midpoints, this means segment DB is a midsegment of triangle AFE.
FE = 23.5, so half that is (1/2)*FE = 0.5*23.5 = 11.75 which is the length of DB.
The midsegment DB is half as long as FE, and DB is parallel to FE.
If FE=23.5 in triangle AFE then BD=11.75.
What is triangle?A triangle is a two dimensional figure having three sides, three angles. Two triangles are said to be congruent if all the corresponding sides and corresponding angles are equal.
How to find length of a side?We have been given the length of FE=23.5 and we have to find the length of BD. From the figure we have found that B,C and D are mid points of triangle AFE. This is due to the similar signs shown in the figure showing how the segments are congruent. Because we have D and B are mid points, this means segment BD is a mid segment of triangle AFE.
Therefore BD=1/2* 23.5= 11.75.
Hence if the length of FE=23.5 then the length of BD=11.75.
Learn more about triangles at https://brainly.com/question/1058720
#SPJ2
How do you solve x+(2x + 40) + (3x - 50) = 15002
Answer:
First, combine like terms by combining the variables and constants. Then use properties of equality to isolate the variable and find the value for x.
Step-by-step explanation:
sample response from ed2020
I could really use some help with this problem. The file is attached below. Thanks!
Answer:
Step-by-step explanation:
8x³ + 2x² -20x - 5
= (8x³ + 2x²) + (-20x - 5)
= 2x² (4x + 1) + (-5)(4x + 1)
= (2x² - 5)(4x +1 )
How many pennies could you have if: When you Break de Pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, and you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left?
Answer:
The answer is 31 pennies
Step-by-step explanation:
we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.
The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:
1) factor: 5 (+1) = 6
6 ÷ 2 = 3 remainder 0
6 ÷ 3 = 2 remainder 0
since there is a remainder of 0, when divided by 3, 6 is wrong
2) factor; 10 (+1) = 11
11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer
3) factor : 15 (+1) = 16
16 ÷ 2 = 8 remainder 0 ( 16 is not the correct answer
4) factor : 20(+1) = 21
21 ÷ 3 = 7 remainder 0 ( 21 is wrong)
5) factor : 25(+1) = 26
26 ÷ 2 = 13 remainder 0 ( 26 is wrong)
6) factor : 30(+1) = 31
31 ÷ 2 = 15 Remainder 1
31 ÷ 3 = 10 Remainder 1
31 ÷ 5 = 6 Remainder 1
since all three divisors give a remainder of 1, the correct answer is 31
Therefore you have 31 pwnnies
Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?
Answer:
One possible answer is 0,1,1
Step-by-step explanation:
-1x-1 is 1
b.
Write this expression 20 x 20 x 20 x 20 x 20 using exponent
Answer:
Step-by-step explanation:
I don’t think I can type exponents here so I’ll write it and take a picture
Answer:
20 x 20 x 20 x 20 x 20= 3200000
20^6
¿Cuál es la suma de los ángulos 1 al 6 en este paralelogramo?
Answer:
Un paralelogramo es una forma plana con lados opuestos paralelos y de igual longitud.
Step-by-step explanation:
Los ángulos "a" y "b" suman 180 °, por lo que son ángulos suplementarios. NOTA: ¡Los cuadrados, rectángulos y rombos son todos paralelogramos
Espero que esto te ayude :)
If it is 50 degrees outside and the temperature will drop 17 degrees in the next six hours, how cold will it get?
Answer:
it will drop to 33 degrees
Answer:
33 degrees
Step-by-step explanation:
Take the temperature and subtract 17 degrees
50 -17
33 degrees
-3+8x-5=-8 Choices: A. -2 B. -1 C. -3/4 D. 0
Answer:
D.0
Step-by-step explanation:
What is the actual distance around the garden?It took Clare 30 minutes to walk around the garden at a constant speed
Answer:
f she walks for 30 minutes, that means she was traveling at about 280 feet per minute (8,400÷30=280), or about 16,800 feet per hour
Step-by-step explanation:
Olivia decides to hire an electrician. The electrician charges $35 to come out to Olivia's
home, and $60 an hour for work. This is modeled by
C (2) = 35+ 60x . Explain what C (5) = 335 means in terms of total cost and
number of hours.
help plz
Answer:
Step-by-step explanation:
Total cost
C (x) = 35+ 60x
Where,
Fixed cost= $35
Variable cost = 60x
x= number of hours of work
Total cost is the addition of fixed and variable cost
C (x) = 35+ 60x
C(5)= 35 + 60(5)
= 35 + 300
=335
C(5) = 335
C(5) = 335 is Olivia's total cost of hiring the electrician
x=5 is the electrician's number of hours of work
35= fixed cost of hiring the electrician
60(5) = 300 is the variable cost of hiring the electrician for 5 hours
18. Danny rolls two number cubes (dice), one red and one blue.
What is the probability that he will roll a 2 on the red cube
and a 6 on the blue cube?
a) 1
b) 2 .
6
15
c) 1
d) 1
18
36
Answer:
1/36
Step-by-step explanation:
1/6 * 1/6 = 1/36
1 Let a = 5.2 and b = 4.7.
a Find the exact value of 3a + b3.
Xena estimates that the answer to part a is 140.
b Find the percentage error made by Xena in her estimation.
Part (a)
Replace every 'a' with 5.2 and replace every 'b' with 4.7
Then use your calculator to evaluate.
3a + b^3 = 3*5.2 + (4.7)^3 = 119.423
Answer: 119.423===============================================
Part (b)
The true value is 119.423 which is the result of part (a)
The estimated value is 140
Subtract the two values
140-119.423 = 20.577
and divide that over the true value
20.577/140 = 0.14697857142858
Which, when rounded to 4 decimal places, we get 0.1470
Move the decimal place over to the right 2 spots to get 14.70%
Answer: 14.70% error (approximate)0.5x-7= 0.3 solve the equation
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{x = 14.6}}}}[/tex]Step-by-step explanation:
[tex] \sf{0.5x - 7 = 0.3}[/tex]
Move 7 to right hand side and change it's sign
⇒[tex] \sf{0.5x = 0.3 + 7}[/tex]
Add the numbers
⇒[tex] \sf{0.5x = 7.3}[/tex]
Divide both sides of the equation by 0.5
⇒[tex] \sf{ \frac{0.5x}{0.5} = \frac{7.3}{0.5} }[/tex]
Calculate
⇒[tex] \sf{x = 14.6}[/tex]
Hope I helped!
Best regards!!
What is the curved surface area of a cylinder with radius 8cm and height 15cm 754.29cm 574.92cm 354.29cm 624.29cm
Answer:
Below.
Step-by-step explanation:
This area = circumference of the base x height
= 2 * pi * 8 * 15
= 754.29 cm^2.
Answer:
The answer is 754.29cm^2
Step-by-step explanation:
radius= 8 cm
height= 15 cm
This is an area question
The formula to calculate the curved surface area will be,:
2 pile r times h which will be = to: 2 pile r h
2 x 22/7/3.14 x the radius which is 8 x height which is 15.
2 x 22/7 x 8 x 15 =
754.29 cm^2.
Okay.
After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dogs got 10 dog treats. Write an equation to describe this situation. How many dog treats did Luca's dad give the dogs?
Answer:
6 + t= 10
4 dog treats
Step-by-step explanation:
Luca took his dogs out for a walk.
He gave his dogs 6 dog treats.
Luca's dad came back home that same day and gave the dogs "t" more treats
This means "t" more treats added to the initial 6 treats.
6 + t
All together that same day, Luca's dogs got a total of 10 treats
6 + t = 10
Hence the equation to describe this situation can be written as 6 + t= 10
The number of treats that Luca's dad gave to the dogs can be calculated as follows
6 + t= 10
t = 10-6
t= 4
Hence the number of treats that Luca's dad gave to the dogs is 4 treats
Pls halp due today >_<. Thank you
Answer:
<
Step-by-step explanation:
Step 1: Evaluate 2√40
2√40 = 12.6491
Step 2: Evaluate 7 + √63
7 + √63 = 14.9373
Step 3: Fill in inequality symbol
12.6491 < 14.9373
In between what two integers is the \large \sqrt{77}
Answer:
8 and 9
Step-by-step explanation:
Since 77 is between 64= 8² and 81= 9²
√64 < √77 < √818 < √77 < 9What is the solution to y + 7 = -9 A. y = -16 B. y = -2 C. y = 2 D. y = 16
Answer:
A. y = -16
Step-by-step explanation:
Hello!
What we do to one side of the equation we have to do to the other.
y + 7 = -9
We have to get y by itself so we have to get rid of the seven by doing the opposite of what it says
The opposite of addition is subtraction so we subtract 7 from both sides
y + 7 - 7 = -9 - 7
Solve
y + 0 = -16
Simplify
y = -16
The answer is A. y = -16
Hope this helps!
Estimate the slope m of the line. (If an answer is undefined, enter UNDEFINED.)
Answer:
slope = - 3
Step-by-step explanation:
The slope m of the line is calculated as
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Please help on 5 to be marked the brainliest
Answer:
3,200
Step-by-step explanation:
Answer:
4000
Step-by-step explanation:
3200 x 250 = 800,000 x 0.1 = 80,000
4000 x 250 = 1,000,000 x 0.1 = 100,000
4200 x 250 = 1,050,000 x 0.1 = 105,000
5000 x 250 = 1,250,000 x 0.1 = 125,000
Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$
Answer:
16π ≈ 50.27 square units
Step-by-step explanation:
The equation is that of a circle of radius 4. The area of a circle is given by ...
A = πr²
A = π(4²) = 16π ≈ 50.27 . . . . square units
_____
The equation can be put into the standard form for a circle to find its radius.
(x^2 -2x) +(y^2 +6y) = 6 . . . . collect variable terms on the left
(x^2 -2x +1) +(y^2 +6y +9) = 6 + 1 + 9 = 16 . . . . . complete the squares
(x -1)^2 +(y +3)^2 = 4^2 . . . . . the radius is 4
Compare to the form ...
(x -h)^2 +(y -k)^2 = r^2 . . . . circle of radius r centered at (h, k)
Please save for x the. The perimeter
Answer:
x = 1
Step-by-step explanation:
The perimeter of the square is 4(2x + 3) = 8x + 12 and the perimeter of the triangle is 3x + 2(x + 3) + 5x + 4 = 10x + 10. Since they are equal, we can write:
8x + 12 = 10x + 10
-2x = -2
x = 1
Answer:
x =1Step-by-step explanation:
Perimeter of a square = 4(a)
Where a = side=2x+3
[tex]P = 4(a)\\P= 4(2x+3)\\Perimeter \: = 8x +12[/tex]
Perimeter of a triangle =
[tex]a +b +c[/tex]
[tex]3x + 2(x+3) +5x+4\\3x +2x +6 +5x+4\\Simplify\\: \\3x+2x+5x = 10x\\6+4 =10\\\\= 10x+10[/tex]
[tex]8x +12 = 10x+10\\Collect like terms\\8x -10x = 10-12\\-2x =-2\\Divide\:both\:sides\:of\:the\:equation\:by \:-2\\\frac{-2x}{-2} = \frac{-2}{-2} \\\\x = 1[/tex]
How far does a train travel and 3.5 hours if it moves at an average speed of 35 miles /hours?
Answer:
d =122.5 miles
Step-by-step explanation:
We know the formula is
d= rt
d is distance r = rate and t is time
d = 35 miles per hour * 3.5 hours
d =122.5 miles
Answer:
122.5 miles traveled
Step-by-step explanation:
35 miles x 3.5 hours = 122.5 total miles traveled
Hellllllllpppppppppppppppppp
Answer:
7/9
Step-by-step explanation:
Since a negative times a negative is positive, -(-1) becomes + 1 so the expression becomes -2/9 + 1. Using the commutative property of addition (a + b = b + a), we can rewrite this as 1 - 2/9. 1 = 9/9 so the expression becomes 9/9 - 2/9 = 7/9.