Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates of its vertex.
Answer:
[tex]y=2(x+6)^2+7[/tex]
[tex](-6,7)[/tex]
Step-by-step explanation:
[tex]y=2x^2+24x+79[/tex]
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
[tex]y=(2x^2+24x)+79[/tex]
Factor out the coefficient of the quadratic term,
[tex]y=2(x^2+12x)+79[/tex]
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
[tex]y=2(x^2+12x+36-36)+79[/tex]
Simplify,
[tex]y=2(x^2+12x+36)+79+(2)(-36)[/tex]
[tex]y=2(x+6)^2+79-72[/tex]
[tex]y=2(x+6)^2+7[/tex]
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.
[tex](-6,7)[/tex]
Please help me I’m struggling
Answer:
i think it's a
hope this helps :)
Which is a reasonable conclusion based on the data?
A. As the mass increase, the value increase in a nonlinear association
B. As the mass increase, the value increase in a linear association
C. As the mass increase by 0.1 gram, the value increases $100
D. There is no association between the mass and value
Answer: b
Step-by-step explanation: :)
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
HELPPP ASAP 10 POINTS
Answer:
circumference = 25.43 in
Step-by-step explanation:
circumference = πd
circumference = (3.14)(8.1) = 25.43 in
Help graph math brainliest and I will add you
Find the volume of the cylinder.
Answer:
Step-by-step explanation:
V=πr^2h is the equation for volume of a cylinder.
the radius is half of 50 so 50/2=25.
then 75 is the height so you plug the vaules in
V=(3.14)((25)^2)(75)
then multiply and you get 147187.5 rounded to the nearest whole number that is 147188
hope this helps :)
can someone please help me
2.
Graph the inequality.
Match the graph to the correct inequality below.
A. x > 2
B. x [tex]\leq[/tex] 2
C. x < 2
D. x [tex]\geq[/tex] 2
Solve the following system of equations show all your work. Write the solution as a point (x,y) (4 points).
3x + 5y = -40
–x + 4y = -15?
Answer:
-5,-5
Step-by-step explanation:
m a t h w a y . c o m
2) 24, 12, 10, 15, 10, 22, 12 mean: _________ median: _________ mode: ________ range: ________
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cup of juice to mags. how much is left in lunas glass
Answer:4/8 or simplified answer 1/2
Step-by-step explanation:
3/4 + 3/8, first you have to find the highest common factor of 4 and 8.
The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.
6/8 + 3/8= 9/8
9/8 - 5/8= 4/8
The simplified answer is 1/2
If a=10 and b=3 , find the value of x .
Answer:
7
Step-by-step explanation:
10-3=7
what is the answer?????
Answer:
40 meter (4000 centimeters)
Step-by-step explanation:
bro just do 4 x 10 = 40 x 100 = 4000
Give me Brainllest
(5x - 7y + 8) + (-y + 6 - 4x) + (9 - 3x + 8y)
If (5^n)^3 = 5^12 then n= ?
6
Answer: n=4
Step-by-step explanation:
Uh I did some trial and error and it came up with the right answer
f(x) = -2x + 9 What is f(2h) ?
Answer:
f(2h) = -4h + 9
Step-by-step explanation:
Jacob: Start with the given function f(x) = -2x + 9 and replace 'x' with 2h:
f(x) = -2x + 9 becomes:
f(2h) = -2(2h) + 9, or
f(2h) = -4h + 9
Answer:
-4h + 9
Step-by-step explanation:
f(x) = -2x + 9
f(2h) = -2(2h) + 9
f(2h) = -4h + 9
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answer.
Answer:
$49 is spended by him.
solution given:
rate=for $10.50 per half yard=$10.50/0.5=$21 per yard
area=2 1/3=7/3yards
now
total cost =rate× area =$21×7/3=$49
What 6 over 4 simplified
Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds
Answer:
C. 15 seconds
Step-by-step explanation:
It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.
Write two numbers that have the given absolute value.
22
Answer:
22 and -22
Step-by-step explanation:
Absolute value means the distance of a number from zero
Plss help ! I will give you brainliest
Answer:
16 + -16 -4 ( 20 ) - 6)
Step-by-step explanation:
here is answer
Answer:
16 + -16 -4 ( 20 ) - 6)
Step-by-step explanation:
Please mark me brainliest
Find the volume of the rectangular pyramid.
16 ft
-Ft--
2 ft
7 ft
Figure not drawn to scale.
Answer:
ft 3
Find the percent of change of 2/5 to 1/3?
NEED HELP ASAP!!!!! Can someone help me???
Answer:
F = 6x
O = -3x
I = 10x
L = -5
Step-by-step explanation:
FOIL follows the formula:
(a + b)(c + d) = ac + ad + bc+ bd
Answer:
F: (3x) (2x) = 6x^2
O: (3x) (- 1) = -3x
I: (5) (2x) = 10x
L: (5) (-1) = -5
At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?
445 . Answer:
Step-by-step explanation:
Find the volume of the sphere
I NEED HELP!!!
HELPPPPPPPPPPPP MEHHHHHHHHHHHHHHHHHHHHHHHHH PLZZZZZZZZZZZZZZZZ GRADES GO OUT TOMMORROW AND I NEED THIS SO I CAN GET MY GRADE UP FROM A D+ PLZZZZZZZZ MY PARENTS WILL MURDER ME
Answer:
Fair well i hope you lived a good life
Step-by-step explanation:
What did the inventor of the 10-ton truck so often say?
Answer:
He often said "Diesel Be Good"
Step-by-step explanation:
Triangle ABC is a right triangle. The length of one leg is 30 cm and the hypotenuse is 78 cm. What is the length of the other leg?
Answer:
72
Step-by-step explanation:
there is 180 degrees in a triangle
