By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
How to transfrom a given second order polynomial into its standard formThe standard form of a parabola is a synthetic form that brings useful information of the geometric locus. This form is derived by applying the method of completing a square, which is based on algebra properties to transform and reduce a part of a second order polynomial into a perfect square trinomial.
Now we proceed to show the procedure to obtain the expression equivalent to the polynomial described in the statement:
5 · x² - 30 · x = 5
x² - 6 · x = 5/6
x² - 6 · x + 9 = 59/6
(x - 3)² = 59/6
(x - 3)² = 9.833
By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
To learn more on completing the square, we kindly invite to check this verified question: https://brainly.com/question/4822356 #SPJ5
need help on question 13!! urgent!!
Answer:
∠MNQ = 31
Step-by-step explanation:
Set ∠MNQ and ∠NQP equal to each other.
∠MNQ = ∠NQP
5c + 6 = 7c - 4
10 = 2c
c = 5
Then substitute back into ∠MNQ.
∠MNQ = 5c + 6
∠MNQ = 5(5) + 6
∠MNQ = 25 + 6
∠MNQ = 31
if 4x-y/2x+y=5/3, then x/y=?
Answer:
[tex]\frac{x}{y}[/tex] = 4
Step-by-step explanation:
Expressing in fractional form, that is
[tex]\frac{4x-y}{2x+y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
3(4x - y) = 5(2x + y) ← distribute both sides
12x - 3y = 10x + 5y ( subtract 10x from both sides )
2x - 3y = 5y ( add 3y to both sides )
2x = 8y ( divide both sides by 2 )
x = 4y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = 4
Answer:
[tex] \boxed{ \frac{x}{y} = 4}[/tex]
Step-by-step explanation:
[tex]if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4[/tex]
What’s the area of the triangle & parallelogram
Answer:
116 cm squared
Step-by-step explanation:
The area of the triangle is 28 cm squared.
The area of the parallelogram is 88 cm squared.
The total area of the composite figure would be 116 cm squared.
Answer:
triangle:28
parallelogram:88
total area:116
Step-by-step explanation:
8×7=56
triangle->56÷2
=
[tex] {28}^{2} [/tex]
parallelogram->11cm×8cm
=
[tex] {88}^{2} [/tex]
total area->28cm²+88cm²=116cm²
One night, it is 24LaTeX: ^\circ
∘
C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
PLEASE ANSWER QUICK!!!!!!!!!
Answer:
[tex]T^\circ = -12^\circ[/tex]
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
[tex]T^\circ = M^\circ - 24^\circ[/tex]
From the second, we have:
[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]
This gives:
[tex]T^\circ = -T^\circ - 24^\circ[/tex]
Collect Like Terms
[tex]T^\circ +T^\circ =- 24^\circ[/tex]
[tex]2T^\circ =- 24^\circ[/tex]
Make T the subject
[tex]T^\circ =- 24^\circ/2[/tex]
[tex]T^\circ = -12^\circ[/tex]
Hence, the temperature in Tucson is [tex]-12^\circ[/tex]
13.089 ÷ 1000 tell me the answers
Answer:
the answer is below
Step-by-step explanation:
0.013089
Answer: 0.013089
Step-by-step explanation:
Which number represents the mode?
8,10,12,14,16,18,20
Answer:
none
cz there's no no. that repeats itself
Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
frequency data that can be plotted on a number line
Answer:
Aa 1
Step-by-step explanation:
If 20% of a number is 10, what is the whole number?
Answer:
100
Step-by-step explanation:
20%-10
20%*5=100%--10*5=100
Answer:
the starting number is 100
How many packs of batteries can you buy with $39.78 if one pack costs $6.63?
Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.
Step-by-step explanation:
Answer:
6 packs of batteries
hope it helps
Need help on this pls
What is the y-intercept of the function f(x)=4 – 5x?
A:-5
B:-4
C:4
D:-5
Answer:
C. 4
Step-by-step explanation:
Rewrite the equation in terms of y = mx + b
f(x) = -5x + 4
Graph quadrilateral abcd whose vertex matrix is shown below. Then graph the dilation of quadrilateral abcd with a scale factor of 3 on the same coordinated grid. Quadrilateral abcd with vertex matrix -1 5 5 -4
2 5 3 -1
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of an object.
Given the vertex matrix of quadrilateral ABCD as:
[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]
Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).
Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.
Hence, the vertex matrix of quadrilateral A'B'C'D' is:
[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]
Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).
The correct option is figure A
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.
Answer:
Step-by-step explanation:
A = C^2 / 4 x pi
so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).
you would then just divide 100 by 12.57 = 7.96 ( rounded)
hope it helped
I need help in this question
Answer:
a) £105 300
b) £132 300
Step-by-step explanation:
a) 2700*39=105 300
b) 2700*49=132 300
You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?
Answer:
404
Step-by-step explanation:
2% of 10000 = 200 in the first year, setting your account to 10200
2% of 10200 = 204 in the second year, setting your account to 10404
In the total of 2 years, you received 404 extra
Answer:
Deposite amount (P) = 10000
Interest ( R) = 2%
Years (T) = 2
Formula
S.I =PRT÷100
S.I =10000×2×2÷100
S.I =40000÷100
S.I =400
You have received interest after 2 years =400
Step-by-step explanation:
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate
Please help I will give 50 points
9 to 14
HELLLLLPPPPPP
Answer:
Didi sweet Didi mark me brain list please
I need help plz plz :(
Answer:
y = 1/2x + 1
Step-by-step explanation:
Answer:
y=1/2x+1
Step-by-step explanation:
y=1/2x+b
2=(1/2)(2)+b
2=1+b
1=b
y=1/2x+1
In this polygon, which angle is an exterior angle?
The angle in the polygon that is an exterior angle is: angle A.
What is an Exterior Angle of a Polygon?An exterior angle of a polygon is an angle that is formed outside the polygon at the point where a side of the polygon extends. Sum of all exterior angles of any polygon equals 360 degrees.
Angle A in the polygon given is formed at the point where a side of the polygon extends out. Therefore, the angle that is an exterior angle is: angle A.
Learn more about exterior angle on:
https://brainly.com/question/2546141
#SPJ1
I think of a number. I multiply it by 3 and then subtract 7. The answer is 17.
What was the number I was thinking of?
Answer:
8
Step-by-step explanation:
you solve this by reversing the excercise.
17 + 7 = 24
24/3 = 8
Answer:
8
Step-by-step explanation:
just reverse everything like, 17 +7 then 24/ 3=8
A bicycle store costs $2600 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $95. How many bicycles
must the store sell each month to break even?
Answer:
58
Step-by-step explanation:
95 - 55 = 45
2600 / 45 = 57.77778.....
Because you can't sell 0.777778 of a bike you instead sell 58
Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function.
pls anwer number 9 pwees anwer pwees
la respuesta es 56
por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56
Answer:
To translate the other guy
Step-by-step explanation:
the answer is 56
Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56
Someone help me ASAP!!!! I need this ASAP!!!!
Find the area of the figure and type your result in the empty box. 4 cm 4 cm
Please help I can’t move on to the next question until I submit this one I have 25 minutes
Answer:
Option (D)
Step-by-step explanation:
Linear equations are in the form of y = mx + b
Here, m = slope of the linear function
b = y-intercept
Quadratic function → y = ax² + bx + c
By these properties, y - 6 = x² represents the quadratic equation which is non linear.
Therefore, Option (D) will be the correct option.
6. Geeta borrowed. * 15.000 for 18 months at a
certain rate of interest compounded semi-
annually. If at the end of six months it
amounted to 15.600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta
must pay at the end of 18 months in
order to clear the account.
Answer:
i) 8%
ii) 16,872.96
Step-by-step explanation:
A) Since she borrowed 15000 and at the end of six months it amounted to 15600. What it means is that;
Interest; i = 15600 - 15000 = 600
Now,formula for rate of interest is;
R = (100i)/(Pt)
Where;
i = 600
P is amount borrowed = 15000
t is time period compounded. Since it's compounded semi annually, then t = ½
Thus, from PRT/100 = i, we can find R as;
R = (100 × 600)/(15000 × (6/12))%
R = 8%
B) After 12 months, which is another semi annual period after 6 months, the Interest will now be;
15600 × 8% × (6/12) = 624
Thus, amount due at this point is 15600 + 624 = 16224
After 18 months which is another semi annual period after 12 months, the Interest will now be;
16224 × 8% × (6/12) = 648.96
Thus, amount due at this point is 16224 + 648.96 = 16,872.96
what mistake was made and what you suggestion to give me to avoid the mistake again
marking brain list
next question is worth 100 points don’t use this anymore just need help on these
Answer:
The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.
Hope this helps!
Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag
Answer:
19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
Huxian needs to pack 171 pens
63 pencils
27 erasers
Hence the items can be divided in 9 bags
171/9
= 19
63/9
= 7
27/9
= 3
They can be packed in each bags as follows
19 pens
7 pencils
3 erasers
14. greater than a number g is 32
Answer:
g = 18
Step-by-step explanation:
14 + g = 32
g = 32 - 14
g = 18
Hope that helps!
