What are the coordinates of the vertex of the function f(x)=x2 10x−3?
Answers
Answer:
A. (-5, -28)
Step-by-step explanation:
The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is
(-5, -28).
It is given that the function [tex]\rm f(x) = x^2+10x-3[/tex]
It is required to find the coordinates of the vertex.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a function:
[tex]\rm f(x) = x^2+10x-3[/tex]
This function represents a parabola.
We know the standard form of parabola in quadratic style:
[tex]\rm f(x)=ax^2+bx+c[/tex]
By comparing the given function to the standard form of parabola, we get
a = 1, b = 10, and c = -3
The vertex of the parabola is given by:
[tex]\rm x = -\frac{b}{2a}[/tex]
Putting the values in the above equation, we get:
[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]
x = -5 put this value in the given parabola function, we get:
[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]
or y = -28
The coordintes = (x, y) : (-5 , -28) which is shown in the graph.
Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex] is (-5, -28).
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Related Questions
3x2 + 6x = 12 (using quadratic formula)
Answers
See the photo for the explanation.
i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00
Answers
Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.
How tall is the cooler?
Write your answer as a whole number or decimal. Do not round.
Answers
Answer:
Volume = a.b.c = k^3
Step-by-step explanation:
Volume = a * 22.5 * 12 = 4320
a = 16 inches
(1/5)^3 as a simplified proper or improper fraction
Answers
Answer:
1/5
Step-by-step explanation:
Hope this helps
13 point
A square box has a height of 21 inches. What is the measure of the
diagonal of the box? Round to the tenths place.
Answers
Answer:
29.7 inches
Step-by-step explanation:
if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.
to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21
so diagonal is the root of
21^2 + 21^2
answer is 29.7
Fill in the table and graph the parametric equation
Answers
Answer:
Shown above
Step-by-step explanation:
Sorry for my untidy handwriting
The residents of a downtown apartment building are starting a rooftop garden. They will plant 4 beds of vegetables for every 1 bed of flowers, plus have 5 extra beds of vegetables. They plan to plant
a total of 30 garden beds. In the system of equations shown, v is the number of vegetable beds and f is the number of flower beds.
v=4f +5
v+f= 30
How many vegetable beds and how many flower beds will be in the rooftop garden?
Answers
Answer:
89
Step-by-step explanation:
what fraction gives you an answer of 11/12
Answers
Hi there! The fraction that gives you 11/12 is 44/ 48.
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Hope this helps you!
Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inches and a radius of 3 inches.
Which statements are true? Choose all that are correct.
Answers
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
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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!!!
Answers
Answer:
Transitive property
Step-by-step explanation:
I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!
Help will give brainleiest
Answers
Answer:
40" by 50"
Step-by-step explanation:
From inspection of the diagram,
height of 2 squares of the quilt ≈ height of doll plus a little bit
⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in
⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in
As the height of a square = width of a square
⇒ width of 1 square of the quilt ≈ 10 in
Dimensions of the quilt
width = 4 squares = 4 × 10 = 40 in
height = 5 squares = 5 × 10 = 50 in
Ratios
We can also work out the width and height by using ratios.
The ratio of width to height of the quilt = 4 squares : 5 squares
If we multiply by 10, the ratio becomes 40 : 50
Final Solution
40" by 50"
Find the value of X and show your work.
Answers
[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:
Step-by-step explanation:
Since the sum of all interior angles of a triangle sums up to 180.
What is an estimate of 37.9% of 192.3?
A 57
B 02
C 80
D 100
Answers
Answer:
C.80
Step-by-step explanation:
37.9% of 192.3
=37.9/100 × 192.3
=0.379×192.3
=72.8817
≈80 (possible answer)
I need actual help on this.
Answers
Answer:
the average rate of change is D. -4
WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS
The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.
Answers
Answer:
Step-by-step explanation:
In order to find which prisms have the same, we use the formula:
A = L x W x H (Area = Length x Width x Height)
So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:
Cube 1: A = 4 x 4 x 3 = 48
Cube 2: A = 6 x 4 x 2 = 48
Cube 3: A = 4 x 3 x 3 = 36
Cube 4: A = 8 x 2 x 2 = 32
Cube 5: A = 4 x 2 x 4 = 32
Cube 6: A = 6 x 2 x 3 = 36
So, Cube 1 and Cube 2 are the same with 48.
Cube 3 and Cube 6 are the same with 36.
Cube 4 and Cube 5 are the same with 32.
:)
Answer: 1 and 2, 4 and 5, and 3 and 6.
Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume. The volumes for each cube is in the order of top left and continue until the bottom right.
48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.From there, you can match them, and then your answer is complete.
Let me know if this is right! :)
(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A
Remove Congruent pairs too
Answers
Answer:
Step-by-step explanation:
Help!! This is i-ready!!! Will get brainiest!!!
Answers
Answer:
It would be,
The people who volunteer usually have a motive to do so and will be the only ones represented.
Step-by-step explanation:
You have just inherited $150,261 from a trust that has matured. you would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. determine, from the given information, the amount of the annual withdrawals. round to the nearest cent. a. $16,578.03 c. $15,978.10 b. $162,851.31 d. $15,575.98
Answers
The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.
What is the amount?The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P ia the annual payment
PV is the present value = $150,261
r is the rate of intreast = 9.1% = 0.091
n is the time period= 20
The formula for the annual payment is found as;
[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]
Hence the amount of the annual withdrawals will be $16,574.24.
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Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.
Answers
The expected count that can be deduced from the arrivals to the second compartment will be 200.
How to calculate the expected count?It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.
Therefore, the expected number of rats that will be in the second compartment will be:
= 1/5 × 1000
= 200
In conclusion, the correct option is 200.
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Which set of directions correctly describes how to plot the point (5, 7) on the coordinate plane?
1) Start at the origin. Move 5 units up, then move 7 units to the right.
2)Start at the origin. Move 5 units up, then move 7 units to the left.
3)Start at the origin. Move 5 units to the right, then move 7 units up.
4)Start at the origin. Move 5 units to the left, then move 7 units up.
Answers
Answer:3
Step-by-step explanation:
- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25
Answers
Answer:
A quotient is the number we get when we divide one number by another.
for example
8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.
I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.
(ii) Two of the lights at the local stadium start flickering at 9:15 p.m. One of the lights flickers every 8
minutes and the other light flickers every 12 minutes. What time both lights flicker at the same time
again?
PLSS HELPPP
Answers
Answer:
At 9:39 they both will Flick
Step-by-step explanation:
so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time
Identify potential solutions of the inequality 3x + 4 < 13. Select all that apply.
Answers
Answer:
3x+4<13
3x+4-4<13-4(3x<9) divide both sides by 33x/3< 9/3x < 3A bag contains 6 different colored chips. If 2 chips are selected at random, how many different combinations of colors are
possible?
Answers
Answer:
I think the answer is 4 or am I wrong please I don't understand
Find the slope of the line that passes through (9, 6) and (4, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
slope = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )
m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
Rq I’ll brainlist.
Simplify 4kp x k ???
Answers
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
Math riddle where do you put smart hot dogs
no links and will give brainliest
Answers
Q: Where do you put a smart hot dog? A: On the honor roll.
The solution is, the final answer is 78.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
The parts of the final expression are ...
6 walker = 150
walker = 150/6 = 25
yoda^4 = 81
yoda = 81^(1/4) = 3
2 Rtwo +100 = 120
Rtwo = (120 -100)/2 = 10
luke + yoda × Rtwo + walker × Rtwo = 285
luke + 3×10 + 25×10 = 285
luke = 285 -280 = 5
And the grand finale:
luke ^ yoda - Rtwo(walker / luke) + yoda
= 5^3 -10(25/5) +3 = 125 -50 +3
= 78
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Complete question:
May the fourth be with you math riddle.
picture is attached.
The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?
a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)
Answers
Answer:
I(1, -4)
Step-by-step explanation:
(-4, -1) is in Quadrant 3 where x and y are negative
when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative
and also the values of x and y switches
so the answer will be I(1, -4)
Which set of algebra tiles represents the sentence below?Carlton earned 3 more stamps
Answers
8 times what equals 64
Answers
Answer:
8
Step-by-step explanation:
The required, following the given condition of the equation model, 8 times 8 equals 64.
We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.
To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:
8x = 64
(8x) / 8 = 64 / 8
Simplifying, we have:
x = 8
Therefore, 8 times 8 equals 64.
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