Answer:
[tex](3,29)[/tex]
Step-by-step explanation:
There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is [tex]x=\frac{-b}{2a}[/tex]
We have the function [tex]g(x)=-3x^2+18x+2[/tex]
From this function, we can find that
[tex]a=-3\\b=18\\c=2[/tex]
We can plug in our know values into the formula to get
[tex]x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3[/tex]
Then we can plug in our x-value to find the y-value of the vertex
[tex]g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29[/tex]
This means that the vertex would be [tex](3,29)[/tex]
Answer:
C. (3,29)
Step-by-step explanation:
Edge 2020
The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (2,−5)
Answer:
B (-22 , 4)
Step-by-step explanation:
-16=(-10+x)/2
*2 *2
-10+x=-32
+10 +10
x=-22
6=(8+y)/2
*2 *2
12=8+y
-8 -8
4=y
so B(-22, 4)
The coordinates of point B is (-22, 4).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
If we have the end points (x', y') and (x'', y'').
The mid point is ((x' + x'')/2, (y' + y'')/2).
Given that one of the end point A is at (-10, 8).
The mid point is at P(-16, 6).
Let the other point be B(x, y).
(-10 + x) / 2 = -16 and (8 + y) / 2 = 6
(-10 + x) / 2 = -16
⇒ -10 + x = -32
⇒ x = -32 + 10
⇒ x = -22
(8 + y) / 2 = 6
8 + y = 12
y = 12 - 8
y = 4
Hence the coordinate of the other point is B(-22, 4).
To learn more about Coordinates, click on the link :
https://brainly.com/question/12661885
#SPJ2
Which expression is equivalent to [tex]\sqrt{-80}[/tex]?
how do i solve log_8(5x+4)=3x-4
Answer:
use a calculator
Step-by-step explanation:
SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Use the empirical rule to estimate the probability that a randomly-selected student gets a section score between 400 and 700.
a. 68%
b. 95%
c. 81.5%
d. 13.5%
Here is a map of a town.
It has a scale of 2 cm to 7 km.
A centimetre ruler is shown on the map.
What is the real-life distance between the ice rink and the theatre?
Answer:
28km
Step-by-step explanation:
2. Sarah is training for a triathlon. She is planning her training schedule and wants to know how much she should run each week. Her choices are to run 2 ¼ miles three times each week or she can run 1 ¾ miles five times each week. She wants to choose the option with the longest total distance. Which option should she choose? Explain your thinking in numbers and words.
Answer: She should run 1 1/3 miles 5 times a week.
Step-by-step explanation: I converted 3/4 to a decimal to have 1.75 and I multiplied it by 5 because that is how many times she will be running 1.75 miles in a week, I got 8.75. So that means if she runs 1.75 miles for 5 days she will run a total of 8.75 miles. Then I converted 1/4 into a decimal and now have 2.25, then I multiplied 2.25 by 3 and got 6.75. So I saw that 8.75 is greater than 6.75,
So the correct answer is: she should run 1 3/4 miles 5 times a week
a small plant is 2 1\2 intches tall how tall will it be in 3 weeks if it grows 3\4 inch week
Answer:
5 1/4
Step-by-step explanation:
Please answer correctly !!!! Will mark BRAINLIEST !!!!!!!!
Answer:
x + 3 meters
Step-by-step explanation:
We know that the area of a rectangle is length times width, so if we call the length y, we'll get y * (x - 3) = x² - 9.
y = (x² - 9) / (x - 3)
y = (x + 3)(x - 3) / (x-3)
y = x + 3. Hope this helps!
analyze the graph of the exponential decay function the intial value is
the base, or rate of change is
the domain is
Answer:
2 minutes ago Suppose a long term investment is modeled by the exponential fuction V(t)= 30(25) ^t/20 where V(t) is the total value after t year 5 minutes ago
Step-by-step explanation:
i need examples of translating equations
here you go hope they work
Find the circumference of the circle. Round to the nearest hundredth.
Answer:
50.27 cm
Step-by-step explanation:
Circumference=πd=π·16≈50.26548 cm
Answer:
50.27cm
Step-by-step explanation:
[tex]C=2\pi r=2*\pi *8=50.26548\\=50.27cm\\[/tex]
10 points
You randomly select 2 cards from a standard deck of 52 playing cards.
What is the probability that all 2 cards are diamonds when you REPLACE
each card before selecting the next card? (If you use decimals, round
your answer to the nearest thousandth, which is 3 decimal places.) *
O
1/16
O 0.125
0.125
O
0.059
1/26
Answer:
1/169
Step-by-step explanation:
52 cards in a deck, 13 are diamonds
P(diamond) = number of diamonds/ total
= 13/52 = 1/13
Replace the card
52 cards in a deck, 13 are diamonds
P(diamond) = number of diamonds/ total
= 13/52 = 1/13
P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169
If a=7 and =3, evaluate the following expression:
3a+b
Answer:
24
Step-by-step explanation:
The expression given is:
3a+b
We know that a is equal to 7 and b is equal to 3. Therefore, we can substitute 7 in for a, and 3 in for b.
3(7)+3
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply 3 and 7 first
21+3
Add 21 and 3
24
The right answer is 24.
please see the attached picture for full solution
hope it helps
good luck on your assignment
Find the measure of the angle O. (Remember, you are finding the actual angle measure, not the ratio.)
Round to the nearest tenth.
Answer:
Θ ≈ 22.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex] , thus
Θ = [tex]cos^{-1}[/tex] ([tex]\frac{12}{13}[/tex] ) ≈ 22.6° ( to the nearest tenth )
A) 350cm2
B) 1000cm2
C) 170cm2
D) 1200cm2
Answer:
1200 cm^2
Step-by-step explanation:
There are four 10 cm by 25 cm sides; the total area of these sides is
4 (10 cm) (25 cm) = 1000 cm^2.
There are two ends; the total area of these is 2 (10 cm) (10 cm) = 200 cm^2.
Thus, the total surface area is 1000 cm^2 + 200 cm^2, or 1200 cm^2 (Answer A).
Here is a map of a town.
The map shows a centimetre ruler.
2 km is represented by 1 cm.
Find the real-life distance between the ice rink and the museum.
Answer:
4km
Step-by-step explanation:
2x2=4km
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
I believe that your answer is a
Step-by-step explanation:
I remember that the exponent would be multiplied by both sides.
Answer: A
Step-by-step explanation:
the answer is b because if you
multiply it inside and get the exponents the answer
so the answer is A
Hope this helps :)
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box? answer all questions
Answer:
Frequency: 20
A.F: 650
Mean: 30
Step-by-step explanation:
Frequency and A.F were just sums of the values mentioned for each
The mean:
Definition: the average of a data.
Formula: sum of numbers divided by the number of numbers
Answer: (28 x 2 + 29 x 4+ 30 x 8 + 31 x 4+ 32 x 2) divided by 20 = 30
Hope this helps
What additional information is needed to prove that the
triangles are similar?
To prove AXYZ - AMNO using SSS, you need to
know that
Now that you know the length of XZ, you need to know
that angle O is congruent to v to prove AXYZ- AMNO using SAS.
Can someone explain please!!!
Answer:
Step-by-step explanation:
To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.
Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.
Angle O is the contained angle between the sides MO and NO.
Answer:
1. MN = 6 and XZ = 17.5
2. angle Z
Step-by-step explanation:
Sorry if this is a late answer but I hope this helps :)
Lorie correctly determines that for the triangles below, the statement Triangle N M O is similar to triangle T S R and the statement Triangle N M O is similar to triangle T R S both describe the relationship between the two triangles. Triangle M N O. Angle M is 54.4 degrees and angle N is 71.2 degrees. Triangle R S T. Angle R is 54.4 degrees and angle T is 71.2 degrees. Which best describes why both similarity statements are correct? Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S. Each triangle has two similar angles: Angle M is similar to angle O and Angle R is similar to angle S. The triangles each have two given angle measures and one unknown angle measure. All statements, regardless of the order of the vertices, define the same triangles.
Answer:
(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.
Step-by-step explanation:
In Triangle MNO
[tex]\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]
In Triangle RST
[tex]\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ[/tex]
Therefore:
Triangle NMO is congruent to triangle TSR; and
Triangle NMO is congruent to triangle TRS
This is because
[tex]\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .[/tex]
The correct option is A.
Answer:
A
Step-by-step explanation:
Just did the test.
I need help with these two
Any answers plz and thank u
Answer:
a²-6=b
Step-by-step explanation:
[tex]a=\sqrt{b+6}[/tex]
taking square on both sides
a²=(√b+6)²
square root will be cancelled by square
a²=b+6
a²-6=b
Answer:
[tex]b= a^{2} -6[/tex]
Step-by-step explanation:
[tex]a = \sqrt{b+6}[/tex]
→ First square both sides to get rid of the root
[tex]a^{2} =b+6[/tex]
→ Minus 6 from both sides to isolate b
[tex]a^{2} -6=b[/tex]
→ Or
[tex]b= a^{2} -6[/tex]
Please answer CORRECTLY !!!!!!!!! Will mark BRAINLIEST !!!!!!!!!!
Answer:
I think it is 60
Step-by-step explanation:
I assume that the time of the launch is 0, so just plug in 0 for x.
Southern Bank has two types of account.
Both accounts pay compound interest.
Everyday saver account:
Interest
2.4% per annum
1234 account:
Interest
3.4% per annum
Sue invests £2300 in the saver account.
Bill invests £1800 in the 1234 account.
a) Work out how much interest Sue and Bill each get after 3 years.
Sue:
Bill:
b) If the interest for the 1234 account changes to 4% in the 3rd year,
who will get the most interest after 3 years, Sue or Bill?
(THE ANSWER TO THIS IS 'Bill', I put it in just in case someone
else wanted to know)
Answer:
a. sue: $2085.24
bill:$2530
Answer:
see picture for full answer explanation
Step-by-step explanation:
The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). What is the constant of variation for the subscription cost based on the number of weeks? $1.50 $7.50 $15.00 $30.00
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)[/tex]
By substituting values for x1,x2,y1 and y2; the gradient becomes
[tex]m = \frac{8 - 2}{5 - 1}[/tex]
[tex]m = \frac{6}{4}[/tex]
[tex]m = \frac{3}{2}[/tex]
[tex]m = 1.50[/tex]
Hence, the constant of variation is $1.50
Answer:
A
Step-by-step explanation:
i am gurman i have 2 cats igot 1 more how many do i have
Answer:
3 cats
Step-by-step explanation:
You have 2 cats
You buy 1 more
You have 3 cats
Answer:
you have none you, Gurman have put an end to them with your ignorance.
Step-by-step explanation:
2 + 1=3 + Gurman = 0 cats
Given ΔADC and ΔAEB, What is AE?
Answer:
As shown in picture,
EB is perpendicular with AC
DC is perpendicular with AC
=> EB // DC
Applying Thales theorem:
BC/AC = ED/AD
=> AD = ED x AC/BC = 72 x 88/55 = 115.2
=> AE = AD - ED = 115.2 - 72 = 43.2
Hope this helps!
:)
f(x)= -7x^2 +8x+2
what is the value of the discrimnant of f ?
How many x- intercepts does the graph of f have ?
I NEED THIS PLEASE HELP!!!!!
Answer:
1. discriminate = 120
2. 3 times
im not sure about my answers please correct me if im wrong
Answer:
discrimnant: 120
2
Step-by-step explanation:
Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that represents the situation
Answer:
Step-by-step explanation:
If it has really helped u plz don't forget to thank me plz...
55 men can finish a piece of work in 42 days. How many additional men must be added to complete the work 9 days earlier.
[tex]55 . 42 = x . 33\\55 . 14 = 11 . x\\x = 5 . 14 = 70\\70 - 55 = 15[/tex]Answer:
Step-by-step explanation:
The additional men required to complete this work 9 days earlier will be 15.
What is work time?In time and work, we need to calculate the time required to complete a unit of work and find work done in a described period of time. Its known the amount of work done by a person varies directly with the time taken by them to complete the work on time.
Given that work was done by 55 men in 42 days
55 men ⇔ 42 days
Rate of work by 1 man ⇔ 1/(55×42)
Rate of work by 1 man ⇔ 1/(2310)
Now by adding N number of people the work need to complete 9 days earlier than 33 days.
Rate of work by 1 man ⇔ 1/[(55+N)×33]
Since the rate of work by 1 man will be the same for both cases
1/(2310) = 1/[(55+N)×33]
N = 15 hence,15 men additional required to complete the work 9 days earlier.
For more information about work time
https://brainly.com/question/19382734
#SPJ2
