Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).
Write the equation of the parabola in vertex form.
(Answers are given in photo)
10 points!!! Please help.
Answer: D. y = 2(x - 6)^2 - 3
Step-by-step explanation: see attachment. i hope this helped :)
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
The vertex form of the equation of a parabola is:
[tex]y = a(x - h)^2 + k[/tex]
where the vertex = (h, k)
The given vertex, (h, k) = (6, -3)
The line passes through the (8, 5)
x = 8, y = 5
Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a
[tex]y = a(x - h)^2 + k[/tex]
[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]
Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - 6)^2-3\\[/tex]
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
Learn more here: https://brainly.com/question/24208497
Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.
|−28|>|−3|
What does the inequality statement show?
Select from the drop-down menus to correctly complete the statement.
−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.
Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.
Step-by-step explanation:
Complete statement is as follows -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.
We have the following expression -
|- 28| > |- 3|
The absolute value of the expression, will be -
28 > 3
Now, 28 is greater than 3.
But is we compare -28 and -3, then -28 is less than -3.
Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.
Therefore, we can write the complete statement as -
−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.
To solve more questions on inequalities, visit the link below-
brainly.com/question/26434651
#SPJ5
2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions
Answer:
She could not even fit in the hotel in the first place
Step-by-step explanation:
Plz anwer i give 30 points or 20
Answer:
x = -6
hope this helps!
Answer:
the answer should be letter B your welcome ;)
Step-by-step explanation:
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
What is the Sum of Roots of x^2+9x+14=0?
Answer:
x=-2,x=-7
Step-by-step explanation:
quadratic equation form ax^2+bx+c=0
Answer:
- 9
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then
the sum of the roots = [tex]\frac{-b}{a}[/tex]
x² + 9x + 14 = 0 ← is in standard form
with a = 1 and b = 9 , thus
sum of roots = [tex]\frac{-9}{1}[/tex] = - 9
Can you make a triangle with the side lengths, 3, 8, 8?
Answer:
yes of course you can make a triangle
Answer:
No
Step-by-step explanation:
A triangle has ALL equal sides but since it's 3,8,8 you can't because not all side are equal
WILL GIVE BRAINLIEST
Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
What is the value of the expression x  exponent 2 when x = 4/5
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
Answer:
[tex]5+2*(7-4) =11[/tex]
Step-by-step explanation:
This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);
[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]
The answer to the first expression would be 45, which is not equal to 11.
The answer to the second expression would be 15, which is also not equal to 11.
The answer to the last expression is 11, so that is the correct answer.
Hope this helped :D
- Shay
Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answer:
The answer is they are all correct
Step-by-step explanation:
5 +3(1) = 8 = 3(1)+5
5 +3(2) = 11 = 3(2)+5
5 +3(3) = 14 = 3(3)+5
5 +3(4) = 17 = 3(4)+5
5 +3(5) = 20 = 3(5)+5
A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Maurice and the other to Hani. Maurice says to Hani "I don't know your number." Hani replies "And I don't know yours." Then Maurice says "Now I know your number." What are the two numbers?
Answer:
Throughout the clarification section following, the definition of the problem is mentioned.
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
Maurice's number Hani's number
2 3
3 4
6 7
9 10
Even though professor whites away, Maurice as well as subsequently Hani are allocated two consecutive full numbers as well as first numbers. Furthermore, in any circumstance, the number of Hani should be one more than any of Maurice, as well as the number of Maurice should be one lower than the average Hani.I need help3
Find the unit rate:
150 students for 5 classes. How many students per class?
Answer:
30
Step-by-step explanation:
150 divided by 5 is 30 i hope this helps
Answer:
The unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!
PLSS HELPP
Choose the equation for the line in slope-intercept form.
A y=2x+3
B y=1/2x+3
C y=1/2x−3
D y=−1/2x−3
Answer:
C or D, they look the same
Step-by-step explanation:
1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.
2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).
3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.
I hope this helped!
True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Answer:
im pretty sure its true
Step-by-step explanation:
so sorry if its wrong, hope it helps!
b) Simplify the expression (V7 + 3) square 2
Answer:
[tex]49v^{2} +42v+9[/tex]
Step-by-step explanation:
First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].
(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]
[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]
This is as far as you can simplify without knowing the value of v as far as I know.
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.
9+(n+}) +
(9+1) +jk
(9+h) +j+k
9+(hj)+k
gh+jk
g(h+)
9+h[j+k)
Answer:According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct
Answer:
1,3
Step-by-step explanation:
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?
Answer: 7:50 + 14P<60
The slices I don’t know so find out yourself
Step-by-step explanation: I got it wrong and saw the right answer
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?
Answer:
[tex]9d = 36[/tex]
Step-by-step explanation:
See attachment for complete question
[tex]Length = 36ft[/tex]
[tex]n = 10[/tex]
From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:
[tex](n - 1) * distance = 36[/tex]
Substitute 10 for n and d for distance
[tex](10 - 1) * d = 36[/tex]
[tex]9 * d = 36[/tex]
[tex]9d = 36[/tex]
Hence:
[tex]9d = 36[/tex] answers the question
in a sequence of numbers, a3=18, a4=14, a5=10, a6=6. Based on this information, which equation can be used to find the nth term in the sequence , an?
Answer:
i got an=-4+22 not thats not one of the answer choices..
Step-by-step explanation:
Explain how Main Sequence Stars
are different from Giant stars and
Dwarf stars?
Help me with thissss
Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)
Anne rides her horse with a constant speed of 14 miles per hour. How far can she travel in 3/4 hour?
Answer:
10.5 miles
Step-by-step explanation:
We can use proportions to solve
14 miles x miles
-------------- = ----------
1 hours 3/4 hours
Using cross products
14 * 3/4 = 1x
10.5 = x
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
What percent of 25 is 20?
A) 40%
B) 50%
C) 60%
D) 80%
Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2
Answer:
B
Step-by-step explanation:
-3+-4^2 divided by 2
Answer:
The answer to your question is -11
Answer:
-11
Step-by-step explanation:
Hope this helps! ^-^