The vertex of the function of g(x) is (5, -37).
What is the vertex form of the parabola?The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.
The vertex form of the parabola is given by;
[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]
On comparison with the standard equation of parabola the vertex of the parabola are;
h = 5 and K = -37
Hence, the vertex of the function of g(x) is (5, -37).
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Answer:
---> The vertex of the graph is (5, –37).
---> The parabola has a minimum.
---> The parabola opens up.
Step-by-step explanation:
IT'S CORRECT ON PRE-TEST / ON TEST
PLEASE HELP
Both circles have the same center. The
circumference of the inner circle is
249.944 meters. What is the area of the
shaded region?
What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?
For the given parabola, the axis of symmetry is x = 2.
How to get the axis of symmetry?
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
If you want to learn more about parabolas, you can read:
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circle the expression that is equivalent to x/5+x/10
3x/10 2x/15 x/25 x^2/50
Answer:
A. 3x/10
Step-by-step explanation:
[tex]\frac{x}{5}+\frac{x}{10}[/tex]
Find a common denominator. The lowest common denominator is 10, so match the equations to fit that denominator.
[tex](\frac{x*2}{5*2})+\frac{x}{10}\\\frac{2x}{10}+\frac{x}{10}[/tex]
Now that the denominators are the same, combine the fractions by adding the numerators.
[tex]\frac{3x}{10}[/tex]
Your answer is a.
Solve the equation 10=8v-3(v+8)
Answer:
10 = 8v - 3 (v+8)
v = 6.8
Step-by-step explanation:
10 = 8v - 3 (v+8)
10 = 8v - 3v - 24
10 = 5v - 24
24 + 10 = 5v - 24 + 24
34 = 5v
5 ÷ 34 = 5v ÷ 5
6.8 = v or v = 6.8
Hope it helps :)
help!!
The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave
them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees
and taxes. It costs $367 per student to board the cruise. If your class raised $16, 600, how many students
can attend?
Answer:
41 Students
Step-by-step explanation:
Step the equation up as 367x+1500=16600. You want to subtract 1500 from both sides and you get 15100. Divide 15100 by 367 for how much it costs for each student and you get 41.1444141689 you want to round down because you can't have a part of a student.
RIGHT ANSWER GETS BRAINLIST 50 POINTS
Answer:
6 cubic cm
Step-by-step explanation:
A = 6a^2
A = 6(1)^2
A = 6(1)
A = 6
It's a cube
Side=a=1cmTSA
6a²6(1)²6(1)6cm²Option B (Unit is wrong in options)
What are the roots of the polynomial equation x cubed minus 6 x = 3 x squared minus 8? use a graphing calculator and a system of equations. –40, –4, 5 –5, 4, 40 –4, –1, 2 –2, 1, 4
Answer:
-2, 1, 4
Step-by-step explanation:
Question was already answered.
Answer:
its D on edge 2022
Step-by-step explanation:
Find the exact perimeter.
Step-by-step explanation:
Hi please can u post the diagram so that we can find the perimeter
help please TIMED 50points owo
[tex]\\ \rm\Rrightarrow log_ab=\dfrac{lnb}{lna}[/tex]
Hence
[tex]\\ \rm\Rrightarrow log_{625}5=\dfrac{ln5}{ln625}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln5}{ln5^4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln5}{4ln5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}[/tex]
Jenny is trimming the edge of pillows with lace. Each pillow
requires 15 inches of lace. She has one piece of lace that is 3
feet long and another that is 4 feet long. What is the maximum
number of pillows she will be able to trim with lace?
o 4 pillows
o 5 pillows
6 pillows
o 7 pillows
AnswER
6 PILLOWS because 1 feet= 12 inches so you multiply the feet to inches
Step-by-step explanation:
I need help please
I will give points and brainlest
Answer:
a. 2 7/9 miles
b. 21.6 minutes
c. 8 1/3 miles
Step-by-step explanation:
The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.
We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...
k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile
__
a.The proportion can be written ...
distance/(20 minutes) = (1 mile)/(7.2 minutes)
distance = (20/7.2) miles = 2 7/9 miles
Catlin will run 2 7/9 miles in 20 minutes
__
b.The proportion can be written ...
time/(3 miles) = (7.2 minutes)/(1 mile)
time = (3)(7.2 minutes) = 21.6 minutes
Catlin was running 21.6 minutes
__
c.In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...
3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles
Catlin will run 8 1/3 miles in one hour.
_____
Additional comment
Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.
geometry. need help pls
Answer:
b
Step-by-step explanation:
took this quiz
Solve the equation. 5x 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9
The value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
What is linear equation?A linear equation is the equation in which the highest power of the unknown variable is one.
Here, the given linear equation is,
[tex]5x +8 - 3x = -10[/tex]
Solve it by arranging the equation as,
[tex]5x - 3x +8= -10\\2x+8=-10[/tex]
Subtract number 8 both side of the equation as,
[tex]2x+8-8=-10-8\\2x=-18[/tex]
Divide both side of the equation with number 2 as,
[tex]x=\dfrac{-18}{2}\\x=-9[/tex]
Hence, the value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
Learn more about the linear equation here;
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Answer: is A
Step-by-step explanation: bc some people dont know how to jus put the letter on there to make life so much easier
Helpp me rnnnnnnnnnnnnnnnnnnnnnn
Answer:
[tex]y=\frac{3}{2} x-3[/tex]
Step-by-step explanation:
Slope Intercept form;
[tex]y=\frac{3}{2} x-3[/tex]
THE PYTHAGOREAN THEOREM; FIND THE SHORTER SIDE
A television screen with a 68-inch diagonal is 60 inches wide. How tall is
the television screen?
Answer:
32 inches tall
Step-by-step explanation:
Pythag orean theorem
60^2 + tall^2 = 68^2
tall = 32 inch
-4x + y = -9
-
5x + 2y = 3
:
Solve the Linear equation
HELP PLEASE!!!!!!!!!!!!
You can't, the only factor in both is 1
1(a^4 + 4b^4)
Hope this helps!
Can I get help with this problem
Answer:
4,7,0,
Step-by-step explanation:
answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know
92, 63, 22, 80, 63, 71, 44, 35
Mean:? Median:? Mode:? Range:?
Answer:
92
−
22
=
70
.
70
Step-by-step explanation:
subtract and add
The mean is 58.75 . The median is 63. The mode is also 63 . And the range is 70
Please help : Find the slope
Answer:
Most likely the slope is going to be -2
Answer:
Slope = 7/4
Step-by-step explanation:
Slope:
Choose any two points on the line.
(-1 , -3) x₁ = -1 & y₁ = -3
(3 , 4) x₂ = 3 & y₂ = 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf = \dfrac{4-[-3]}{3-[-1]}\\\\=\dfrac{4+3}{3+1}\\\\=\dfrac{7}{4}[/tex]
Sketch the graph of the function h(x) = x2 - 10x + 22 on the
coordinate plane below. Circle the zeros and draw a box
around the vertex
you will have to do the Circles. I made the graph and found the
vertex
vertex: (5,-3)
Step-by-step explanation:
Which property of addition is shown below? a bi c di = a c bi di identity property associative property commutative property inverse property
The commutative property of addition is shown here a+bi+c+di = a+c+bi+di which is the correct answer.
What is commutative property?The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the result.
This property applies to multiplication also.
We have the given expression:
a+bi+c+di = a+c+bi+di
We have to identify the property of addition in the above expression.
Since we can say here that (bi+c) is expressed as (c+bi).
The commutative property of addition states that the numbers can be added in any order.
Mathematically, it states that a+b = b+a.
Here, (bi+c) can be replaced by (c+bi), whether 'b' is added to 'ci' or 'ci' is added to 'b', the result is always the same.
Therefore, the commutative property of addition is the correct answer
Learn more about the commutative property;
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Answer:
commutative property
Step-by-step explanation:
edge2020
If <6 measures 35, what is the measure of <5?
Answer:
=> The value of x is 7. Hence, the required solution is 7.
Step-by-step explanation:
NEED HELP!!! WILL GIVE BRAINLIEST, PLEASE COMPLETE BOTH!!!
solution 1:
[tex]\rightarrow \sf 7 * 3\dfrac{1}{5}[/tex]
[tex]\rightarrow \sf 7 * \dfrac{16}{5}[/tex]
[tex]\rightarrow \sf \dfrac{112}{5}[/tex]
[tex]\rightarrow \sf 22\dfrac{2}{5}[/tex]
solution 2:
[tex]\rightarrow \sf 5\dfrac{4}{10}*2[/tex]
[tex]\rightarrow \sf \dfrac{54}{10}*2[/tex]
[tex]\rightarrow \sf \dfrac{108}{10}[/tex]
[tex]\rightarrow \sf 10\dfrac{8}{10}[/tex]
Ann planted daisies in her garden. After a month, she measured the height of each daisy.
Answer:
the median is 7 for your question center
Find the area of each figure. The unit of length is cm (b) E D 8 25: :15 8 A 36 A 10 M 17 N 12 B
please help asap please please
Complete this activity. Record and submit your results.
Toss a coin 200 times. Record the heads and tails as you toss. Submit your results for the number of heads after:
I. 10 tosses
II. 50 tosses
III. 100 tosses
IV. 200 tosses
Can anyone help me solve this?
ABC is equilateral, each angle has a measure of 9x-12
Answer:
x=8
Step-by-step explanation:
Angles in a Triangle always add up to 180
So, 3(9x-12)=180
27x-36=180
216=27x
x=8
The angle of the equilateral triangle is 60° and x is 8.
What is a Triangle?A triangle is a polygon with three sides and three vertices.
The triangle's total number of angles comes to 180°.
Given, measure of angle of an equilateral triangle 9x-12.
The sum of all the angles of the triangle is 180°.
That means,
3(9x-12) = 180°
27x = 180+36
x = 216 / 27
x =8
Therefore, the value of x is 8.
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What are the multiplicative and additive inverses of 2?
Answer:
Additive inverse is -2
Multiplicative inverse is 1/2
Answer:
2 is an integer then the multiplicative inverse of 2 is \[\dfrac{1}{2}\]. Hence, we obtained the additive inverse of 2 is -2 and the multiplicative inverse of 2 is \[\dfrac{1}{2}\].5 days ago
https://www.vedantu.com › the-sum...
The sum of additive inverse and multiplicative inverse of 2 is ______.(a). \\[\\dfrac{3}{2}\\](b). \\[\\dfrac - Vedantu
Sam can prepare 20 paintings in 4 weeks. How much time does he need to prepare 80 paintings?
Answer:
It would take Sam 16 weeks.
Step-by-step explanation:
Step 1. Step up the proportion of
[tex]\frac{4}{20} =\frac{x}{80}[/tex]
Step 2. Do 80x4 to get 320
Step 3. Divide 320 by 20 to get 16.
Hope this helps! :)
Answer:
16 weeks.
Step-by-step explanation:
20 paintings per 4 weeks.
80/20= 4
That says 4 sets of 4 weeks.
4*4=16.
16 weeks.
16*7=112
112 days