Answer:Function to be graphed is,
h(x) = 2(x - 3)²
Function 'h' is a quadratic function.
Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.
Both the ends of the parabola will be upwards (towards positive infinity).
As x approaches to negative infinity, h(x) approaches to positive infinity.
As x approaches to positive infinity, h(x) approaches to positive infinity.
Step-by-step explanation:
The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
Valley high school's football team played a total of 16 games. They won twice as many games as they lost. If they tied one game, how many games did the team won
Answer:
The team won 10 games.
Step-by-step explanation:
The statement indicates that the football team played a total of 16 games, which means that the total number of games they won, lost or tied is equal to 16 and you can express this as:
x+y+z=16, where:
x is the number of games the team won
y is the number of games the team lost
z is the number of games the team tied
As you know that they tied one game, it means that z=1:
x+y+1=16
x+y=16-1
x+y=15
Also, the statement says that they won twice as many games as they lost which means that the number of games they won is equal to two times the number of games they lost, which is:
x=2y
Now, you can replace x=2y in x+y=15 and solve for y:
2y+y=15
3y=15
y=15/3
y=5
Finally, you can replace the value of y in x=2y in order to find the value of x:
x=2(5)
x=10
According to this, the answer is that the team won 10 games.
Find the volume of the prism
An angle measures 58° less than the measure of a complementary angle. What is the measure of each angle?
Answer: 74 degrees and 16 degrees
Step-by-step explanation:
A pair of complementary angles add up to 90 degrees.
If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.
x + x-58 = 90 is the same as 2x -58 = 90.
Adding 58 to both sides gives 2x = 148,
and dividing both sides by two gives x = 74.
We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.
Mhanifa can you please help? This is due soon!
Answer:
8)
x/15 = tan 48°x = 15 tan 48°x = 16.79)
x/19 = tan 72°x = 19 tan 72°x = 58.510)
x/19 = cot 47°x = 19 cot 47°x = 17.711)
x/15 = cot 50°x = 15 cot 50°x = 12.6Can someone solve for x -4x=42
Answer:
x = -14
Step-by-step explanation:
help me with this please
So i have two answers this is Completing the Square:
(x+6)^2-36
and this is finding the perfect square trinomial:
x^2+12x+36
Hope this helps
Eddie made a video.
• The video included a 5-minute introduction followed by short segments.
• Each segment was 8 minutes long.
• Eddie's video was 149 minutes long.
How many segments were in Eddie's video?
A. 11
B. 18
C. 19
D. 30
Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y =mx+c
Answer:
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The equation of a 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 ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)
m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 5 ) , then
- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line
You have an allowance to spend on lunch this
week. You will spend the same amount each
day, and you get to keep whatever is left at
the end of the week. After two days, you
have $12.10 remaining. After five days, you
have $2.50 remaining. what is the initial value, rate of change, and table of values
Answer:
look at the screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Factor the Expression Completely: -14a+56b+84c-28a+42
Answer:
[tex] - 14(3a - 4b - 6c - 3)[/tex]
A building with a cost of $1,800,000 has an estimated residual value of $125,000, has an estimated useful life of 40 years, and is depreciated by the straight-line method. a. What is the amount of the annual depreciation?
Answer:
$41,875
Extra
a. $17,250 [($780,000 – $90,000) ÷ 40]
b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]
c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]
Step-by-step explanation:
Step 1: Determine the cost of the asset
[tex]1,800,000[/tex]
Step 2: Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount
[tex]1,800,000 - 125,000[/tex]
Step 3: Determine the useful life of the asset
[tex]40[/tex]
Step 4: Divide the sum of step (2) by the number arrived at in step (3) to get the annual depreciation amount
[tex]$41,875[/tex]
What is a value of y that satisfies the inequality below? y3≤12
Answer:
4
Step-by-step explanation:
because 4 Times 3 equals 12 so less than or equal to hope this helps
Answer:
y =4
Step-by-step explanation:
3y=12
3y/3=12/3
y=4
Trigonometry question (In image)
Answer:
Cosine
Step-by-step explanation:
What is the area of the parallelogram?
36 m 2
18 m 2
24 m 2
72 m 2
Answer:
36!
Step-by-step explanation:
Parallelogram's formula:
6 x 6 = 36
In this case 6 is your base and 6 is your height so we just multiply the two given lengths to get the area!
Answer:
36
Step-by-step explanation:
i hoped i helped like^^
What is -2 1/6 -(-1 3/4)
Answer:
-5/12
Step-by-step explanation:
2 1/6 -(-1 3/4) =
-13/6 - (-7/4) =
-5/12
-5/12
Step-by-step explanation:
Step 1: Eliminating a negative and changing our operation
−2 1/6 + 1 3/4
Step 2: Rewriting our equation with parts separated
-2 − 1/6 + 1 + 3/4
Step 3: Solving the whole number parts
−2 + 1 = −1
Step 4: Solving the fraction parts
−1/6 + 3/4 = ?
Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.
LCD = 12
−2/12 + 9/12 = 7/12
Step 6: Combining the whole and fraction parts
−1 + 7/12 = −5/12
Calculator
This figure shows circle O with diameter QS.
mRSQ = 280°
What is the measure of
Enter your answer in the box.
Which is the expression 4 x 4 x4 x 3 x 3 x 2 x 2 x 2 x 2 written using
exponents?
PLEASE HELP ME !!!!!!!!!!!
10 and 43
Step-by-step explanation:
math
You can kick "b" soccer balls into a goal in 2 minutes, and you have been kicking for 16 minutes. You take a break then kick 3 more balls. Do NOT try to solve, but write me an EXPRESSION that represents how many balls you kicked in totall
Answer:
x = 8b + 3
Step-by-step explanation:
BRAINLIST PLZ
Answer:
x = 8b + 3
Step-by-step explanation:
x = 8b + 3
You can kick "b" balls in 2 minutes. There are 8 two-minute intervals in 16. So 8 is multiplied by "b" soccer balls. 3 is the extra number of balls kicked after the break. x is the total number of soccer balls kicked.
What is the equation of a line, in slope intercept form, that has a y-intercept of -1 and a slope
Answer:
y = 5x - 1
Step-by-step explanation:
Given the following data;
Intercept = -1
Slope = 5
To find the equation of line;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
y = mx + 1
y = 5x - 1
Given that events A and B are independent with P(A)=0.34P(A)=0.34 and P(A\text{ and }B)=0.034P(A and B)=0.034, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.
Answer:
0.1
Step-by-step explanation:
If A and B are independent, hence P(A and B) = P(A)P(B)
Given the following
P(A and B) = 0.034
P(A) = 0.34
Required
P(B)
Substitute into the given formula;
P(B) =P(A and B)/P(A)
P(B) = 0.034/0.34
P(B) = 0.1
Hence the value of P(B) is 0.1
1/). Help ASAP Find the area of each circle to the nearest tenth
Answer:
153.9
Step-by-step explanation:
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answer:
5/3 or 3/5
Step-by-step explanation:
MRK ME BRAINLIEST PLZ
No more asking me to click on links answer truthfully
There are 134 birds in the aviary shown in the diagram what is the number of birds per cubic yard for this aviary
if the diagram is 5 x 12 x 9 yards
then multiply all 3 numbers
then its 540 cubic yards
then its 134 ÷ 540 which = 0.2481481481
so the answer is .25
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
[tex]P=4a[/tex]
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
[tex]P=4(14)[/tex]
[tex]P=56[/tex]
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
Help please I need this right now
Answer:
the first one
Step-by-step explanation:
if you simplify 10/2 it is 5. there is already a 5 as an x value, so that means this isn't a function.
Help
Please edge 21 I really need help I don’t want to go to summer school
Answer:
C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts
Step-by-step explanation:
it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.
A t-shirt was 10 dollars. Now it's sold at 12 dollars in the summer. What is the mark up percentage?