Answer:
1 1/3
Step-by-step explanation:
Find the LCD of all of the fractions.
(9/24 + 8/24) + 15/24
Start by adding the parenthesis.
17/24 + 15/24
Add the remaining fractions.
32/24
Simplify the improper fraction.
1 8/24
Make the fraction into simplest form.
1 1/3
Find the vertex of the quadratic function:
y=1/2x^2 + 8x – 50
Answer:
definition
The vertex form of a quadratic function is given by
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.
FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.
When written in "vertex form":
• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).
• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
• notice that the h value is subtracted in this form, and that the k value is added.
If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.
If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.
divider
button To Convert from f (x) = ax2 + bx + c Form to Vertex Form:
Method 1: Completing the Square
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example.
example Convert y = 2x2 - 4x + 5 into vertex form, and stat
Step-by-step explanation:
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answer:
Transitive property
Step-by-step explanation:
Refer to the picture given below;
Answer:
transitive property
Step-by-step explanation:
it not complementary angles because it not 90 degree
it not vertical angles because it doesn't show pair angles formed when two lines intersect.
it not reflexive property because it doesn't shown a number is always equal to itself.
so, for the reason above i think transitive property is the answer.
someone help answer the bottom 4 pls I'll brainlist u !!
A you-pick blueberry farm offers 6 lbs of blueberries for $16.50.
Last year at science camp there were 140 people sleeping in cabins. There were 18 students for every 2 chaperones. How many students were sleeping in
cabins?
Answer:
126 students
Step-by-step explanation:
18+2=20
140 divided by 20=7
7x18=126
140-126=14 chaperones
solve the following:
3! + 0!
------------
2! * 1!
A.) 3/2
B.) 3
C.) 7/2
Answer:
3
Step-by-step explanation:
[tex]\frac{3+0}{2\times1}[/tex]
[tex]3+(\frac{0}{2})\times1[/tex]
[tex]\mathrm{Divide}[/tex]
[tex]{0\div2}=0[/tex]
[tex]3+0\times1[/tex]
[tex]3+0=3[/tex]
[tex]3\times1=3[/tex]
Lenvy~
finding measure using triangles
Answer: z=43
Step-by-step explanation:
Answer:
37°
Step-by-step explanation:
∠ABC +∠BAC +∠BCA= 180°
41° + 102° + ∠BCA= 180°
∠BCA= 37°
Ben had $25 he spent $6.55von lunch and $10 on top up
(a) How much did he spent altogether?
(b) How money did he left?
Answer:
A. 16.55$
B. 8.45$
Step-by-step explanation:
simply add 10 and 6.55 to get to get the total amount spent. Then subtract the answer you got from 25 to get the total amount left.
Answer:
(a) $16.55
(b) $8.45
Step-by-step explanation:
The cost of lunch added to the additional $10 Ben spent totals to $16.55
When we subtract that number from his original amount ($25) we get $8.45
Hope this helps! Have a great day!
The diameter of a circle is 14 inches. What is the circle's area
use 3.14 for PI
Answer:
153.86 inches²
Step-by-step explanation:
How do we find the radius of a circle?
The radius of a circle is 1/2 of the diameter, so 14/2 = 7 inchesHow do we find the area of a circle?
We can find the area of a circle by using πr², where r = radius. We're given the radius as 7 inches and pi as 3.14.Solving
[tex]3.14*7^2[/tex] [tex]3.14*49[/tex] [tex]153.86[/tex]Therefore, the answer is 153.86 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The area of the circle is 153.86 square inches.
We have,
Diameter = 14 inch
Radius= 14/2 = 7 inch
Now, the formula for area of a circle,
Area = π (radius)²
Now we can calculate the area using the radius:
Area = 3.14 x (7 inches)²
Area = 3.14 x 49 square inches
Area ≈ 153.86 square inches
Therefore, the area of the circle is 153.86 square inches.
Learn more about Area of Circle here:
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(-6,8); perpendicular to y = -3/2x -1
Answer:
[tex]y = \frac{2}{3} x + 12[/tex]
Step-by-step explanation:
[tex]y = - \frac{3}{2} x - 1[/tex]
The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=[tex] - \frac{3}{2} [/tex].
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line
[tex]- 1 \div ( - \frac{3}{2} ) \\ = - 1( - \frac{2}{3} ) \\ = \frac{2}{3}[/tex]
Substitute m=[tex]\frac{2}{3} [/tex] into y=mx+c:
[tex]y = \frac{2}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,
[tex]8 = \frac{2}{3} ( - 6) + c \\ \\ 8 = - 4 + c \\ c = 8 + 4 \\ c = 12[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x + 12[/tex].
Select the best estimate that would help you check the answer to 778×23
.
A.
700×30
B.
700×20
C.
800×20
D.
800×30
Answer:
C: 800 x 20
Step-by-step explanation:
Basically, when you round 778 you see that the 7 and 8 are above 5, which means you round upwards. Therefore it would be best to round up to 800.
Then the 3 in 23 is below 5, meaning you round downwards. 20 Is the closest and best option.
So, C: 800 x 20 is best to do!
Answer:
Answer-C
Step-by-step explanation:
MARK ME BRAINLEST PLZ
What is the sum of 3x^2 + 4x – 2 and x^2 - 5x + 3?
Answer:
(3+1) x² + (4-5) x + (-2+3)=
4 x² - x + 1
50 POINTS FOR CORRECT AWNSER
Answer:
[tex]y\leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the gradient and [tex]b[/tex] is the y-intercept (the number at which it crosses the y axis)
firstly find the equation for this line:
the gradient can be found with the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
so the gradient is [tex]\frac{4-3}{2-0}=\frac{1}{2} =0.5[/tex]
the y intercept is where it crosses the y axis so it is simply 3
our equation for the line is now [tex]y=\frac{1}{2} x+3[/tex] but the question is asking for an equality where the shaded area is BELOW the line.
so the inequality is [tex]y\leq \frac{1}{2} x+3[/tex]
Answer:
y ≤ [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
the equation of the line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0-(-6)}[/tex] = [tex]\frac{3}{0+6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = [tex]\frac{1}{2}[/tex] x + 3 ← is the equation of the line
the solution lies below the line and on the line.
as line is solid use ≤
y ≤ [tex]\frac{1}{2}[/tex] x + 3
M is the midpoint of point A (5,4) and point B (15,0)
What is the x- coordinate of M
Answer:
x = 10
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then
M = ( [tex]\frac{5+15}{2}[/tex], [tex]\frac{4+0}{2}[/tex] ) = ( [tex]\frac{20}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (10, 2 )
The x- coordinate of M = 10
My teacher asked me to round 64,400 to the nearest thousand. I think that the answer is 65,000. Did I round correctly?
Answer: unfortunately no
Step-by-step explanation:
When rounding numbers...
if the number is less than 5, round down. Other than that 5 and up you round up.
You rounded up, 4 to 5 thousand. 4 is less than 5 so you should had rounded down, your answer is 60,000
if y=10 when x=4, find y when x=12.
Answer:
If both numbers have to stay equivalent, then y equals 30 if x = 12. My reasoning is 12/4 = 3. 3 times 10 = 30.
Jenny wants to serve fruit punch at her party. She plans to buy a punch bowl that costs 5$ and fruit punch that costs 1.40$ per liter. If p represents the number of liters of fruit punch that she buys, which expression can be used to find how much it will cost Jenny to serve punch at her party?
a population of 120000 grows 5% per year for 16 years
6000*16=96000+120000=216000
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
Answer:
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
it is number 4
Answer:
4
Step-by-step explanation:
When a figure is translated, its orientation
and the measures of its angles
.
Answer:
Hope it helps :)
Step-by-step explanation:
So, when figure is translated, its orientation (=0°,i.e Not Rotated through any angle) and the measures of its angles (Remains same) . Hope it helps!~
(Sorry if you get it wrong or I got it wrong-)
~The Confuzzeled homan
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
Answer:
1.D(0, 4) → D'(0, –4)
2.E(–2, 0) → E'(–2, 0)
3.The perpendicular distance from G' to the x-axis will equal 2 units.
4.The perpendicular distance from D' to the x-axis will equal 8 units.
5.The orientation will be preserved.
Step-by-step explanation:
D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).
We know that the rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
The coordinate of D(0, 4) becomes D'(0, –4) and coordinate of E(–2, 0) becomes E'(–2, 0).
3.The perpendicular distance from G' to the x-axis is 2 units.
4.The perpendicular distance from D' to the x-axis is 8 units.
Hence D(0, 4) becomes D'(0, –4) and E(–2, 0) becomes E'(–2, 0).
For more details on Reflection over x axis follow the link:
https://brainly.com/question/4998744
(-15)2 equals ? This has got me stuck for a few minutes.
Answer:
225
Step-by-step explanation:
(- 15)² = - 15 × - 15 = 225
HELPPPPERZ its dude today :)
Answer:
34 or B
Step-by-step explanation:
180-112=68
68/2=34
Since the 2 angles equal 180, and we already know one is 112, we can subtract that. and because it is 2 times a number, we need to get half of whatever that number is, which was 68, and we got 34. this would be the value of y, because when plugged in, 112+2(34)=180.
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HELP PLEASEE ASAPP
Kelly and Tracy wanna know which of their dogs runs faster. The graph represents the constant speed of Kelly’s dog, and the equation represents the constant speed of Tracy’s dog, both in meters per second. Which dog has greater constant speed (unit rate)?
Kelly’s dog. Unit rate=___meters per second
Speed of Tracy’s dog: y=11x
Tracy’s dog, unit rate= __meters per second
The dog with the greater constant speed is ___’s dog
Answer:
Kelly's Dog = Unit Rate = ?
Tracy's Dog = Unit Rate = ?
Top Speed is Tracy's Dog
Step-by-step explanation:
There's not enough evidence to finish this question, can you pls give more context to this? Can you pls send the pic of the graph?
Which point does NOT lie on the graph of the line x + 2y = 9?
DO
A) (1,4)
B) (2, -1)
C) (3, 3)
D) (5,2)
Answer:
b (2, -1) is your answer for this question
Can you solve this PI day maze
To find the number pi in the box we must start with 3.14 and follow the sequence of the number.
What is the pi number?The number Pi is a mathematical value that is represented by the symbol π and is used to refer to the length of the circumference of a circle and its diameter in geometry.
The value of pi is the following:
3.141592653589793238462643....If we want to find the number pi, in the box we must follow the sequence of numbers that make up pi as shown:
Learn more about Pi number in: https://brainly.com/question/511377
Find an equation for the line that passes through the points (1,-3) and (-3,3)
Answer:
x1=1, x2=-3
y1=-3, y2=3
m=y2-y1/x1-x2
m=3-(-3)/-3-1
m=-3/2
since Y=mx+c
Then,Y=-3/2x+c
Hope! It will help you!!!
1) Azalee loves stuffed animals! Initially she had 10 stuffed animals. Her collection continues to grow at a rate of 24% per year. How many stuffed animals will she have in 6 years? Group of answer choices 51 stuffed animals 24 stuffed animals 47 stuffed animals 36 stuffed animals
Answer:
B. 24 stuffed animals
Step-by-step explanation:
Initial amount of animal = 10
If her collection continues to grow at a rate of 24% per year, then increment in number of animal after 1 year will be:
24% of 10
= 0.24×10
= 2.4
Total increment after 6years will be:
= 2.4×6
= 14.4
Total stuffed animal that she will have after 6years = initial amount + increment = 10+14.4
Total stuffed animal that she will have after 6years = 24.4 ≈ 24 stuffed animals
please help fhgdsafghjk,
Answer:
b
Step-by-step explanation:
Pattern A: 3, 10, 17, 24, 31
Pattern B: 3, 7, 11, 15, 19
1. WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the
radio station, plans to give away upper-level and mid-level seats that cost $25 and
$40, respectively. Tim wants to give away at least 25 tickets, but he has a budget
constraint of $1,000.
part A: write a system of two inequalities that describe this situation
part B: Write one possible solution to the problem in sentence form
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Upper level seat = $25
Mid level seat = $40
Number of tickets to give away is at least 25
Budget constraint = $1000
part A: write a system of two inequalities that describe this situation
Number of tickets constraint:
Upper level + mid level ≥ 25
u + m ≥ 25
Cost constraint :
$25u + $40m ≤ $1000
Part B:
Give away 10 upper level seat tickets and 15 mid level seat tickets