a rule in quadratic equ states that
if summation of the roots should be -b/a of the equa
comparing the equ x² - 6x + y=0
with. ax² + bx +c =0
we see that in the equ, a= 1, b=-6
so the sum of the roots is -(-6)/1= +6
looking the the option the only one that agreed is option A
-2 + 8= 6
there fore the values of x are -2 or 8
Which expression is equivalent to 24x2 - 22x + 5?
Answer:
C
Step-by-step explanation:
Given
24x² - 22x + 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 5 = 120 and sum = - 22
The factors are - 12 and - 10
Use these factors to split the x- term
24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )
= 12x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term
= (12x - 5)(2x - 1) ← in factored form → C
Pls omg fast
Baked beans height is 11 and from down its 3.5
Select ALL of the expressions that are 27 equivalent (equal) to: 27/-3
(Select all that apply.)
1.9
2. -27/3
3. -27/-3
4. -3×(27)
5.-9
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {(2).\: \: \frac{ - 27}{3}\:and\: (5).\: - 9 }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{27}{ - 3} [/tex]
2. [tex] \: \frac{ - 27}{3} [/tex] ✔
5. [tex] - 9[/tex] ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Mystique35♨}}}}}∘[/tex]
5. Of the quadratic functions shown below, which has imaginary zeroes?
(1)
(3)
(2)
(4)
I dont understand this problem. Could someone explain it to me?
Answer:
additive property
Step-by-step explanation:
it is because when you ADD the angles it is EQUAL to the answer
(2a^6-6a^3)^2 expand and combine like terms
The fully expanded and simplified expression is:
[tex]4a^12 - 24a^9 + 36a^6.[/tex]
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To expand [tex](2a^6 - 6a^3)^2[/tex], we can use the formula:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
with [tex]a = 2a^6[/tex] and [tex]b = -6a^3:[/tex]
[tex](2a^6 - 6a^3)^2 = (2a^6)^2 + 2(2a^6)(-6a^3) + (-6a^3)^2[/tex]
[tex]= 4a^12 - 24a^9 + 36a^6[/tex]
Thus,
The fully expanded and simplified expression is:
[tex]4a^12 - 24a^9 + 36a^6.[/tex]
Learn more about expressions here:
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9) The Venn diagram shows the number of elements in sets A, B and C.
B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1
Answer:
The value of x is 4.
The value of y is 26.
Step-by-step explanation:
Here in qn a)
It has been given that n(AUBUC)=74
So we just add all components of n(AUBUC) and add it in an equation which equals to 74;
13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74
82 - 2x = 74
82 - 74 = 2x
8 = 2x
4 = x
So x is 4.
Now for qn b)
It has already been given that n(AUBUC) = 74 and n(U) = 100
so to find y we simply substract n(AUBUC) from n(U)
y = n(U) - n(AUBUC)
= 100 - 74
=26
Just ask me in the comments if you have any questions.
11 4/5 divided by 3 1/5
A. 3
B. 3 1/2
C. 7/2
D. 4
( Answer within 5-10 minutes to get brainliest! )
Thank you in advance!
I appreciate it all!
Answer:
3.5
Step-by-step explanation:
It's technically 3.69 but 3.5 is the closest answer you can get
Question 9 of 10
If you apply the changes below to the absolute value parent function, f(x) = |xl,
what is the equation of the new function?
• Shift 4 units left.
• Shift 2 units up.
Answer:
[tex]g(x) = |x+4|+2[/tex]
(6√2)(-3√5)
whats the answer
Answer:
- 18[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(6[tex]\sqrt{2}[/tex] )(- 3[tex]\sqrt{5}[/tex] )
= 6 × - 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{5}[/tex]
= - 18 × [tex]\sqrt{10}[/tex]
= - 18[tex]\sqrt{10}[/tex]
Can someone please help me, someone who's serious lol. PLEASE
(also please label the ones you answered)
Question 11.4.10
Add up everything in the first row
13+31+24 = 68
We have 68 people with high school only education. Out of this group, 24 are conservative
So we have 24/68 = 6/17 represent the probability of selecting a conservatives person given they have high school only education.
Answer: 6/17=======================================================
Question 11.4.15
There are 269+485 = 754 males.
Of this group, 485 are not associates.
Therefore, 485/754 = 0.64 approximately
We focus on the males only because of the phrasing "given that the recipient is male".
Answer: 0.64=======================================================
Question 11.4.16
Refer to the diagram below. Let's say we had 1000 people surveyed. This means we have 1000 in the bottom right corner to represent the grand total.
40% have a pet now currently and also had a pet in the past, so we have 0.40*1000 = 400 people go in the upper left corner of the table. This is the "have a pet now" row and "had a pet in the past" column.
60% do not have a pet now, so 600 people don't have a pet currently. This is the total for row 2. This must mean 1000-600 = 400 people do have a pet currently. This is the total for row 1.
The missing value in row 1 must be 0 because 400+0 = 400. Also, if a person has a pet now, they likely had it in the past as well. To be honest, the wording to set up the time scale for this problem is vague. What does it mean "in the past"? Do the researchers mean in the previous month? Year? It's not clear. Anyway, the first row consists of 400, 0 and 400 in that order.
----------------------
Then we're told that 85% have had a pet in the past. So 0.85*1000 = 850 people had a pet in the past. This goes at the bottom of the "had a pet in the past" column. This leaves 1000-850 = 150 people who didn't have a pet in the past.
Lastly, 15% of the 1000 people surveyed don't have a pet in the present and they didn't have it in the past either. Since 15% of 1000 = 0.15*1000 = 150, we will write 150 in the second entry of row 2. Notice how 0+150 = 150 for the second column. Every row should add up to the entry in the "total" column, and every column should add up to the entry in the "total" row to help check we have the correct table set up. Lastly, notice how 400+600 = 1000 and 850+150 = 1000 to further verify the table.
----------------------
By this point, the table is completely filled out. We're told "given the respondent had a pet". We only focus on the "had a pet in the past" column. 400 people have a pet now out of 850 who had a pet in the past.
Therefore, 400/850 = 0.47 approximately
Answer: 0.47Calculate the bank charges if a client wants to send a cash amount of R450 to a friend at an ATM without using a card
Answer:
R6.775
Step-by-step explanation:
Given that :
The transaction fee charged is calculated using the relation :
Transaction fee = R2.50 + 0.95%(amount deposited)
If amount to deposit is R450 ; the bank charge will be:
R2.50 + 0.95%(Amount deposited)
R2.50 + 0.0095(450)
R2.50 + R4.275
R(2.50 + 4.275)
R6.775
Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram
Answer:
ok so first we add 10 plus 7 together since if you don't show up you fail
which is 17
so out of 100 students 17 failed both
now we subtract 71 from 80 to get 9
so we add that together with 17 so
17+9=26 so 26 students failed both
Hope This Helps!!!
A bike frame has a top tube length of 20.75 inches, a seat tube length of 8.9 inches, and a seat tube angle of 71 degrees.
a. Find the approximate length of the down tube.
b. Find the angle between the seat tube and down tube
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answer:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent
Step-by-step explanation:
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My friend just asked me do you know Doomhah? Is this one of them you know what jokes?
Answer:
can you make it a bit clear to understan?
small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain
Answer:
Volume of cube = 216
Dimesnions of cuboid = 4 * 6 * x
x = 216 / 24x
x = 9cm
Step-by-step explanation:
Hope this helps... pls vote as brainliest
Which equation models the data in the table?
Congruent angle pairs : Find value of x
Answer:
(Opt.B) 18
Step-by-step explanation:
4x = 2y - x (vertically opposite angles are equal)
4x + x = 2y
5x = 2y ----- (1)
4x + 2y + x = 180 (Linear pair angles)
5x + 2y = 180
From (1) we can understand that, the value of 5x and 2y is the same. So,
5x + 5x = 180
10x = 180
x = 180/10
x = 18
Just completing,
Putting the value of x in (1)
5*18 = 2y
90 = 2y
90/2 = y
45 = y
Hope you understand
Please mark as brainliest
Thank You
Help,anyone can help me do quetion.
Answer:
Step-by-step explanation:
PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.
a). By the property of a parallelogram,
"Diagonals of a parallelogram bisect each other"
QT = TS
QS = 2(QT)
= 2(3)
= 6 cm
b). "Adjacent angles of a parallelogram are supplementary"
m∠PSR + m∠SRQ = 180°
115° + m∠SRQ = 180°
m∠SRQ = 65°
c). Since, SQ = SR = 6 cm
m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]
m∠QSR = 65°
By applying triangle sum theorem in ΔQSR,
m∠SQR + m∠QRS + m∠QSR = 180°
m∠SQR + 65° + 65° = 180°
m∠SQR = 50°
Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.
Given:
The equation of a line is:
[tex]y=5x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=5x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=5[/tex]
Slope of the given line is 5.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.
The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=5(x-3)[/tex]
[tex]y+4=5(x)+5(-3)[/tex]
[tex]y+4=5x-15[/tex]
Subtracting 4 from both sides, we get
[tex]y+4-4=5x-15-4[/tex]
[tex]y=5x-19[/tex]
Therefore, the equation of the required line is [tex]y=5x-19[/tex].
Please help!
Danielle is trying to solve the equation 8^x= 1/64. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
x = -2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
Please help me.
1. 7/12 ÷ ¾ = ??
2. ¾ ÷ 1/3 = ??
3. ½ ÷ 3/6 = ???
4. 2/3 ÷ 1/6 = ???
5. 7/12 ÷ 1/12 = ???
Answer:
[tex]1. \: \: \frac{7}{9} [/tex][tex]2. \: \: \frac{9}{4} [/tex][tex]3. \: \: 1[/tex][tex]4. \: \: 4[/tex][tex]5. \: \: 7[/tex]Step-by-step explanation:
[tex]1. \: \: \frac{7}{12} \div \frac{3}{4} [/tex][tex] \frac{7}{12} \times \frac{4}{3} [/tex][tex] \frac{7}{3} \times \frac{1}{3} [/tex][tex] \frac{7}{3 \times 3} [/tex][tex] \frac{7}{9} [/tex][tex]2. \: \: \frac{3}{4} \div \frac{1}{3} [/tex][tex] \frac{3}{4} \times 3[/tex][tex] \frac{3 \times 3}{4} [/tex][tex] \frac{9}{4} [/tex][tex]2 \frac{1}{4} [/tex][tex]3. \: \: \frac{1}{2} \div \frac{3}{6} [/tex][tex] \frac{1}{2} \times \frac{6}{3} [/tex][tex] \frac{3}{3} [/tex][tex]1[/tex][tex]4. \: \: \frac{2}{3} \div \frac{1}{6} [/tex][tex] \frac{2}{3} \times 6[/tex][tex]2 \times 2[/tex][tex]4[/tex][tex]5. \: \: \frac{7}{12} \times \frac{1}{12} [/tex][tex] \frac{7}{12} \times 2[/tex][tex]7[/tex]Hope it is helpful...Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?
Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers:
Blank 1 = p and r
Blank 2 = corresponding angles converse
==========================================================
Explanation:
Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.
If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse
Solve for X. the Polygons in each pair are similar.
Answer:
x = 7
Step-by-step explanation:
If the triangles are similar, the side length ratios have to be the same
49 63
------------- = ---------
42 8x-2
Using cross products
49 ( 8x-2) =42 (63)
Divide each side by 49
8x-2 = 42*63/49
8x -2 = 54
Add 2 to each side
8x = 56
Divide b 8
8x/8 = 56/8
x = 7
Rose and her twin brother decided to carry their juice in the lunch bags. Rose choose the tin juice that holds 472ml. Her brother took the bottled juice that contains 1/2 litre. Which of the two had more juice and by how much?
Answer:
Her brother had more juice by 28 mL
Step-by-step explanation:
Convert the 1/2 liter bottle to mL.
In 1 liter, there are 1000 mL. So, in 1/2 liters, there are 500 mL.
Since Rose's tin juice only holds 472 mL, her brother had more juice.
Find how much more he had by finding the difference:
500 - 472
= 28
So, her brother had more juice by 28 mL
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
To know more about profit:
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
As an enrichment treat, your school has been given 63 tickets to go to a local theme park for FREE! You need to work out who is getting the tickets. The Principal decides that each of the eight classes in your school will get the same number of tickets. How many tickets will each class get and how many will be left over?
Tickets per class answer:
Remaining tickets answer:
please explain
Check whether (0, -2) is solution of the equation x - 2y = 4 or not.
Answer: Yes, it is a solution
===================================================
Explanation:
Any ordered pair, aka point, is of the form (x,y)
x is always listed first
The point (0,-2) means x = 0 and y = -2 pair up together
Let's plug them into the equation and simplify everything
x-2y = 4
0-2(-2) = 4
0+4 = 4
4 = 4
We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)
(0,-2) is a solution to the given equation
Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.