The answer is : (-4, 9)
The given function is:
f(x) = -x^2 - 8x - 7
To find the vertex of the parabola, we need to complete the square as follows:
f(x) = -(x^2 + 8x) - 7
= -(x^2 + 8x + 16) + 16 - 7
= -(x + 4)^2 + 9
Hence, the vertex is (-4, 9).
Since the coefficient of x^2 is negative, the parabola opens downward.
To find the y-intercept, we set x = 0:
f(0) = -0^2 - 8(0) - 7 = -7
Therefore, the y-intercept is (0, -7).
To sketch the graph, we plot the vertex (-4, 9) and the y-intercept (0, -7). Since the parabola opens downward, it will have a maximum value at the vertex. We can also plot a few other points by choosing values of x and calculating the corresponding values of y.
Therefore, the vertex is (-4, 9).
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If t(1) = 11 and t(3) = 17, then which value below is NOT part of the arithmetic sequence? 23 96 56 74
Answer:
96
Step-by-step explanation:
It appears that the rate of change for this sequence is +3 because since t(1) = 11 and t(3) = 17, it would make sense that t(2) = 14.
From there you can use a calculator and start from 17 and keep adding 3 until you notice a number that doesn't belong in the sequence.
Hope this helps! I apologize if I'm incorrect
Hey.... I need some help plz and plz answer the question correctly not like other people that put random answers
Answer: 16
Step-by-step explanation:
They tell you that for every 5ft=2cm you have 40ft so 40ft/5ft=8 so turn you want to multiply 8x2 to get it in cm which is 16
What is the range of f(x) = −2x + 5 with domain {1, 2, 3, 4}?
Answer:
f(x) = { 3, 1, -1, -3 }
Step-by-step explanation:
f(x) = −2x + 5
when
x=1
f(1) =−2 * 1 + 5 = -2 + 5 = 3
x=2
f(2) = −2 * 2 + 5 = -4 + 5 = 1
x=3
f(3) = −2 * 3 + 5 = -6 + 5 = -1
x=4
f(4) = −2 * 4 + 5 = -8 + 5 = -3
Answer:
f(x) = { 3, 1, -1, -3 }
Step-by-step explanation:
Have a great day <3
Which of the following is the best example of vestigial structures?
O thick fur on a polar bear
sharp beaks on a bird
O wings of a dragonfly
O wisdom teeth in humans
Plsssss helppp!!!!!!
Answer:
it the last one
Step-by-step explanation:
which expression is equivalent to f(x)=3x+2
1) Abby lives in California and decided to buy a TV for her family. If the
listing price of the TV is $250, how much would Abby spend if the
sales tax is 8.25%?
Answer:
$270.625
Step-by-step explanation:
[tex]\frac{x}{250} \frac{108.25}{100} = 270.625[/tex]
Jace practices the piano 798 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
38 minutes each day
Step-by-step explanation:
Answer:
38 minutes per day
Step-by-step explanation:
The information given says that Jace practices 798 minutes in 3 WEEKS and we need to convert that to days. There are 7 days in a week so multiply
7 x 3 = 21
Now you have to divide the minutes by 21.
798 ÷ 21 = 38
Jace practices piano for 38 minutes every day.
Hope that helps and have a great day!
Pls help
Solve for P
can i get help on this please
Answer: X=18
Step-by-step explanation:
Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98
Choice B: 13 ounces of raisins for $7.18
Answer: A
Step-by-step explanation:
1. Divide the price of the raisins by the ounce
__
2.98 / 6 = .496
7.18 / 13 = .5523
2. round to the nearest hundredth
.50
.55
3. The lowest unit cost is your answer
answer number 6 (about the reformation)
Answer:
A. New Christian denominations emerged
Step-by-step explanation:
Luthern, Nazarene, Methodist etc are all a result of the reformation.
ASAP ASAP ASAP
HELP ME PLZ
Answer:
a
Step-by-step explanation:
hope this helps :)
Someone please answer both part a and b i would appreciate is SO MUCH
Answer:
Look at explanation.
Step-by-step explanation:
a.
<ACD and <DCA
b.
90 = m<1 + m<2
90 = 2x + x
90 = 3x
x = 30
Plug back into angles:
m<1 = 2x
m<1 = 60 degrees
m<2 = x
m<2 = 30 degrees
fill the charts with the image of any XY coordinate after being rotated and reflected
1. (-y, x)
2. (-x, -y)
3. (y, -x)
4. (x, -y)
5. (-x, y)
Investing money in a retirement fund is part of a plan for achieving _____.
a.
Immediate goals
b.
Long term goals
c.
Short term goals
d.
Unrealistic goals
Answer:
I believe it is long term goals
Step-by-step explanation:
But I don’t really know if it is correct but it sounds like it would be long term goals
The investment of the money in a retirement fund is part of a plan for achieving Long term goals. Thus, option (B) is correct.
What is Investment?Investment refers to the money spend over something that will give profits and higher rates of return. The money can be spent over the business or in the future projects or in the mutual investments etc.
It is basically the asset that has been acquired or invested to earn the wealth. People do spent in various sectors such as gold, shares, bonds, real estate etc. in order to earn maximum profits out of it.
There are two types of investment that is long term investment and short term investment in which the person spending on the long term investment can spend money on the retirement fund.
Therefore, it can be concluded that option (B) is correct.
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Determine the unit rate
24 pencils in 8 jars =
pencils per jar
Answer:
3 pencils per jar
hope it helps you
The number of pencils in each jar will be 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that there are 24 pencils in 8 jars. The number of pencils in each jar will be calculated as,
Number = Number of pencils / Number of the jars
Number = 24 / 8
Number = 3 Pencils
Hence, there will be 3 pencils in each jar.
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Michael works 6 days every month at his grandfather's store. His grandfather pays him the same amount each day. Let e represent the total amount earned during one month. Michael earned $252, write and evaluate the expression for when e = 252.
Answer:
$42 per day
Step-by-step explanation:
Michael works 6 days every month
His grandfather pays him the same amount each day.
Michael earned $252
e = $252
Amount Michael earns per day = Total amount earned in a month / number of days worked for in a month
= $252 / 6 days
= $42 per day
Write a story starting with the following lines. ( no romance included)
The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.
Answer:
The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.I was comig through the two doors to see my grandpa and he was bareley alive then I walked with him back through the blue doors with the sam stuffy feeling after I walked through then as we approached the surgery room he miraculously recovered and walked away and no knows how it happened. Too this day the hospital employees wonder how this had happened
this is on metric measurements. but i’m not sure what they want me to do. can you give me the correct 9 letter sequence & explain how you got it?
Answer:MABYE THE SAME AS THE EXAMPLE OR ABECFDHGI
Step-by-step explanation:
2jk / 3l^2
when j = -4, k = 5, and I = -3
Answer:
What????
Step-by-step explanation:
The sum of first nth terms of two APs are in the ratio (3n+8)
is to (7n+15).Find the ratio of their 12th terms
Sum of first n terms of two AP's are in the ratio (3n + 8) : (7n + 15).
Find:the ratio of their 12th terms
Solution:Let the first terms and common differences of the two APs be a , d & a' , d'.
We know that,
Sum of first n terms of an AP (Sn) = n/2 * [ 2a + (n - 1)d ]
So,
⟹ n/2 * [ 2a + (n - 1)d ] : n/2 * [ 2a' + (n - 1)d' ] = 3n + 8 : 7n + 15
⟹ 2a + (n - 1)d : 2a' + (n - 1)d' = 3n + 8 : 7n + 15
Multiply numerator and denominator by 1/2 in LHS
⟹ a + (n - 1)/2 * d : a' + (n - 1)/2 * d' = 3n + 8 : 7n + 15
Now,
3n + 8 : 7n + 15 is the ratio of nth terms of the two APs.
We have to find the ratio of 12th terms.
We know that,
nth term of an AP (aₙ) = a + (n - 1)d
⟹ a₁₂ = a + (12 - 1)d
⟹ a₁₂ = a + 11d
So,
⟹ a + (n - 1)/2 * d = a + 11d
⟹ n - 1/2 = 11
⟹ n - 1 = 22
⟹ n = 23
Hence, we have to substitute n as 23 to find the ratio of their 12th terms.
⟹ a + 11d : a' + 11d' = 3(23) + 8 : 7(23) + 15
⟹ a + 11d : a' + 11d' = 77 : 176
⟹ a + 11d : a' + 11d' = 7 : 16
∴ The ratio of the 12th terms of the two APs is 7 : 16.
I hope it will help you.
Regards.
Given the quadratic function y = x2 - 11x - 26, what interval
is this function negative.
write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-5);y= -4x+5)
Answer:
y=-4x-33
Step-by-step explanation:
Since the equation is parallel it will have the same slope which is -4
Now just plug in the points into the equation y=-4x+n
Plug them in and you get -5=-4(-7)+n
Then solve which will get you n=-33
Therefore the equation is y=-4x-33
what is the value of 4 in the number 546210 write your answer in numbers
Answer:
40000
Step-by-step explanation:
Answer:
The value of 4 is 40,000
Step-by-step explanation:
Can I have brainliest?
Help me solve this problem please
Answer:
a² + b² + c² - 2ab + 2bc - 2ac
Step-by-step explanation:
Answer:
[tex]b=\frac{c+2}{a}\:[/tex]
Step-by-step explanation:
[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]
[tex]\frac{c+2}{a}\:[/tex]
Which angle of rotation will carry the figure onto
itself?
1) 60°
2) 108°
3) 216
4) 540°
Answer:
pretty sure it’s 60°
please help me with this
look at pic and answer thanks
Step-by-step explanation:
3y/4 = 36
3y = 36 × 4
3y = 144
y = 48
Hence,
The value of y = 48.
Kelly offers to pay for 9 of her friends to play laser tag, but
2 of them don't want to play
If laser tag costs $4 per person, how much will Kelly spend on her friends?
Choose the correct expression and solution to this problem
Answer:
Kelly offers 9 of her friends to play, but 2 of them don't want to play...so if it costs $4 per person...then do $4.00 • 7 = $28.00......so the answer is $28.00 .
Please help me out with this
Answer:
the Fourth One
Step-by-step explanation: