The answer is the last one
Can i please get brainliest
Put the quadratic equation y=4x^2-24x+5 into vertex form by completing the square then state the coordinates of the vertex.
Answer:
(3, -31)
Step-by-step explanation:
Factor 4 out of the first two terms:
y=4x^2-24x+5 becomes y=4(x^2 - 6x) +5
Next, complete the square of (x^2 - 6x): It is x^2 - 6x + 9 - 9
Insert this into y=4(x^2 - 6x) +5 in place of x^2 - 6x:
y=4(x^2 - 6x) +5 => y=4(x^2 - 6x + 9 - 9) +5, or
y=4( (x - 3)^2 - 9 ) + 5, or
y = 4(x - 3)^2 - 36 + 5, or:
y = 4(x - 3)^2 - 31
Compare this to: y = a(x - h)^2 + k
We see that the coordinates of the vertex (h, k) are (3, -31), and that a = 4.
James is going to plot a line using the information in the chart. What is the equation of the line if the slope is 1/3
Answer:
y = 1/3x
Step-by-step explanation:
It is impossible to know the exact equation of the graph without actually seeing the graph itself or atleast having more information. Therefore, using the information provided and assuming that the graph crosses both the x and y-axis at point (0, 0) then the equation would be the following
y = 1/3x
This equation shows that the graph has a slope of 1/3 and crosses the x and y axis at point (0, 0) like mentioned above and shows in the picture attached below.
The equation of a line is a way to represent of the line which lies on a point on the xy-coordinated.
The equation of the line with the slope 1/3 is,
[tex]y=\dfrac{1}{3} x+b[/tex]
What is the equation of a line?The equation of a line is a way to represent of the line which lies on a point on the xy-coordinated with and informed about the steepness and the direction of the line.
Standard form of the equation of a line can be given as,
[tex]y=mx+b[/tex]
Here, [tex]x,y[/tex] is the coordinates points on which the line lies, [tex]b[/tex] is the y intercept of the line and [tex]m[/tex] is the slope of the line.
Given information-
James has to plot a line on the graph.
The slope of the line is 1/3.
As the slope of the line is 1/3. The equation of the line with slope 1/3 can be given using the above equation.
Thus the equation of the line is,
[tex]y=\dfrac{1}{3} x+b[/tex]
Hence the equation of the line with the slope 1/3 is,
[tex]y=\dfrac{1}{3} x+b[/tex]
Leran more about the equation of a line here;
https://brainly.com/question/18831322
If 2/x = (-4/x+6^9) what is x/2
a.-1
b.4
c.6
d.1
Answer:
B
Step-by-step explanation:
i think because I searched it
Find the common ratio for the sequence:
24, 18, 27/2, 81/8 , . . . .
Answer:
as we know,
common ratio=t2/t1
= 18/24
=3/4
The price of a house is originally listed at $220.000 The owners are having a hard time selling it and decide to reduce the price to $156,200. What is the percentage decrease of the price of the house?
A 63.8%
B 29%
C 2.9%
D 71%
Answer:
its B I think
Step-by-step explanation:
Answer:
B, 29%
Step-by-step explanation:
1. eliminate the ones that dont make sense.
*cross out C*
Why?
2.9% is barely anything so it wouldnt make sense in this situation.
*cross out D*
Why?
71% is alot. its more than half. and 156.20 is less than half of 220.00
*cross out A*
Why?
63.8% is also more than half. the same reason like choice D.
current choices left:
B.
2. multiply the percentages to $220.00
220 * 0.29 = 63.8
220 - 63.8 = 156.2
SO YOUR ANSWER WOULD BE CHOICE B
Hope it helped! ^^
Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown.
4.2x + 3 + 5.7x – 2 + 5 – 2.6x
4.2x + 5.7x + 2.6x + 3 – 2 + 5
(4.2 + 5.7 + 2.6)x + 3 – 2 + 5
12.5x + 6
What was Renan’s error in adding the expressions?
He used the commutative property incorrectly.
He used the distributive property incorrectly.
He added incorrectly.
He multiplied incorrectly.
Answer:
He added incorrectly.
in his second step, he should have subtracted 2.6x instead of adding 2.6x
Answer:
ITS A DONT LISTEN TO THE OTHER PERSON
Step-by-step explanation:
HELP PLEASE !
Use the function f(x)=-3(x+1)^2+18
The average of 5 numbers is 85 . If 3 of the numbers are 102,96 and 80 respectively, what is the sum of the other 2 numbers ?
Answer:
147
Step-by-step explanation:
Multiply the average by the number of values
85*5=425
Find the sum of the 3 values you have
102+96+80=278
Take the sum of the 3 values you have away from the sum of all 5 values
425-278=147
Answer:
the sum of the other 2 numbers = 147Step-by-step explanation:
(102 + 96 + 80 + x + y)/5 = 85
278 + x + y = 85 × 5
278 + x + y = 425
x + y = 425 - 278
x + y = 147
Evaluate:
-│-23│ = ____
Answer:
-23
Step-by-step explanation:
Using the absolute rule,
[tex]\left|-a\right|=a[/tex].
Therefore,
[tex]-|-23|=-23[/tex]
(It becomes 23 first, but then you stick the negative sign after)
The regulation height of a basketball hoop is 10 feet above the court floor. On a scale model of a basketball court the height of the hoop is 5 inches from the court floor. What is the scale of the model
Answer:
1 : 2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
10 / 5 = 2
1 inch represent 2 feet
x 2 +2x+y 2 =0 what is the center and radius of the circle?
Center = (-1,0) Radius= 1
when you complete the square your equation should look something like
(x²+2x+1) (y²+0) = 1.The 1 on the left side coming from (b/2)² which is (2/2)² which equals 1 and whatever you add to one side, you have to add to the other so when you add 0+1 you get the 1 on the right side. Then factor or use the (b/2) from earlier without the ² so you should get (x²+1) + (y²+0) = 1. Flip the sign so you have negative 1 and 0. For the radius, square the right side and of course, [tex]\sqrt{1}[/tex] is simply 1 so your radius is 1. A lot of 1's huh? lol at least it makes the operations nice and simple :)
Each base in this oblique prism is a right
triangle.
What is the volume of the figure?
Answer:
66 cm³
Step-by-step explanation:
Volume of the oblique prism = Area of the base× height
V = Area of the triangular base × height
V = (bh/2)H.................. Equation 1
Where V = Volume of the prism, b = bas of the triangle, h = height of the triangle, H = height of the prism.
From the diagram,
b = 3 cm, h = 4 cm, H = 11 cm.
Substitute these values into equation 1
V = [(3×4)/2]×11
V = 6×11
V = 66 cm³
Hence the volume of the oblique prism is 66 cm³
What is the length of the unknown leg in the right triangle
Given:
The figure of a right angle triangle, we hypotenuse [tex]\sqrt{113}[/tex] mi and perpendicular 9 mi.
To find:
The length of the unknown leg in the right triangle.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, we get
[tex](\sqrt{113})^2=(9)^2+a^2[/tex]
[tex]113=81+a^2[/tex]
[tex]113-81=a^2[/tex]
[tex]32=a^2[/tex]
Taking square root on both sides.
[tex]\sqrt{32}=a[/tex]
It is only positive because the side length cannot be negative.
The length of the unknown leg in the right triangle is [tex]\sqrt{32}[/tex] mi.
Therefore, the correct option is B.
a farmer makes a profit of x cents on each of the (x+5) eggs her hen lays. if her total profit was 84 cents find the number of eggs the hen lays
Given: A farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
To find: The number of eggs the hen lays.
Solution:
Now we have given that farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
That means the farmer has x + 5 eggs, which also means that each egg can make a profit of x percent.
Then the equation formed will be:
x × ( x + 5 ) = 84
x^2 + 5x - 84 = 0
(x - 7) (x + 12) = 0
x = 7 , -12
The positive solution will be considered, so the answer is 7+5 = 12 eggs
Answer:
The number of eggs the hen lays is 12.
Please Help!!
Given: ABCD is a parallelogram.
Prove: AB is congruent to CD and BC is congruent to DA.
AB=CD...opposite sides ||
BC=AD...opposite sides ||
Answer:
yw edg
Step-by-step explanation:
Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
Answer:
gf =11
ge=28
df=28
hf=14
dg=19.154
Step-by-step explanation:
5. It cost David $93.00 to board his dog at
a kennel for 5 nights. At that rate, how
much would David be charged if he
boarded his dog for 7 nights?
A $130.20
B $225.20
c $450.30
D $651.00
Answer Quick PLZZ you will be brainless no website
Find X. Give your answer in the simplest form.
Answer: 8
Step-by-step explanation:
We can use trigonometry to solve this:
If we call the angle at the top Ф then x is the opposite and 8 is the adjacent
Therefore we use Tan to solve this:
Tan Ф = opposite/adjacent
Tan 45 = X/8
1 = X/8
8 x 1 = X
Therefore X = 8
A pool contained 135 gallons of water water leaked out of the pool at a rate of 15 gallons every 3 minutes how many minutes did it take for all 135 gallons of water to leak out of the pool
27 min
Step-by-step explanation: leaking speed is 15 gal/ 3 min = 5 gal/min
Time is 135 gal: 5gal/min
If KL = 12 centimeters, JK - 10 centimeters,
and JL - 11 centimeters, which list shows
the angles in order from least to greatest,
according to their measures?
Answer:
Well it should be JK, then JL, then KL
Step-by-step explanation:
If a teacher asks you to elaborate more in a reflection, which of the following is he or she asking you
do?
give more detail
use more adverbs lengthen sentences
add contractions
what is 31=xy+15? for segment addition
Answer:
x = 16/y
or
y =16/x
Step-by-step explanation:
31=xy+15
subtract 15 from both sides of the equation:
xy = 16
x = 16/y
or
y =16/x
"select all the numbers that are solutions to the equation x^3=27"
Answer:
x=3
Step-by-step explanation:
So lets try and solve this to find an answer. To do this, lets just think about what makes 27. 3x3x3? Yup. Well wait, whats 3^3? Oh, thats 3x3x3. So this means, x must be 3.
Can x be -3 as well? No, this is because the exponent is odd, and any negative number will still be negative unless the exponent is even.
So in this equation, 3 is the only answer.
ANSWER:
3
One watermelon weighs 3 kg how many kilograms in 100 watermelons weigh
Answer:
100 watermelons weigh 300kg.
Step-by-step explanation:
100 * 3kg = 300kg
Hope I helped! Have a great day! Feel free to follow me on insta (leo_g_rios), or mark brainliest!!! :D
-XxDeathshotxX
22, 32, 24, 28, 25, 27, 23, 27, 27,22,29
Which statement describes a way to find the median of the data set?
I can't see the answer choices clearly but to find the median, you would cross off from least to greatest and the choice in the middle would be the answer.
Answer:A
Step-by-step explanation: I can't see the full thing but i believe it's a. I believe that because when you find median, you add up all of the numbers. Then you divide by how many numbers you have. You have 11 numbers, 22,32,24,28,25,27,23,27,27,22,29.
What is the missing angle?
Answer:
b = 80
c = 80
Step-by-step explanation:
b + 100 = 180
b = 80
b = c becuase of vertical angles so,
c = 80
Answer:
80
Step-by-step explanation:
b and c are 80°
what's the full question?
Translate the following phrase to an expression: the product of a number and 2.
Evaluate the expression for n = 18
Answer:
36
Step-by-step explanation:
2*n = what the expression says.
2*18 = 36 is the answer to n = 18
Whatever value is given to n you just multiply it by 2.
Daisy earned $2500 working a summer job. She wants to save and invest the money so she can
purchase a car in five years. If she invests the money at an interest rate of 3% compounded
yearly. How much money will she have at the end of five years? Write an equation to represent
the amount of money she'll have after five years.
Tasa is playing a game with 2 different types of fair geometric objects. One object has 8 faces numbered 1 to 8. The other object has 6 faces labeled M, N, O, P, Q, and R. What is the probability of rolling a number greater than 3 and the letter R on the first roll of both objects?
A. 1/14
B. 5/48
C. 1/4
D. 43/48
Answer:
I think the answer should be A.
Jillian and Josie are trying to find the value of the function, 8x^4-12x^3+3x^2-7x+4 at x=-1. Jillian says the only way to find the answer is to plug in -1. Josie says, no, there is another way. Who is right? Justify your answer.
Answer:
Josie is correct.
Step-by-step explanation:
There are other ways of finding the value of the function at x = 1.
For example, one way would be graphing or using a graphing device to graph the function. Once graphed, looking for the y-value where x = 1 would also provide the answer.