The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q
Answers
9514 1404 393
Answer:
q = 40
Step-by-step explanation:
When the quadratic has roots p and r, it can be factored as ...
(x -p)(x -r) = x² -(p+r)x +pr
So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...
p + r = 14
p - r = 6
2p = 20 . . . add the two equations
p = 10
r = 14 -p = 4
The value of interest is then ...
q = pr = (10)(4)
q = 40
__
The graph shows the roots to be 4 and 10, as we found.
Related Questions
Dilate the following points by a scale factor of 0,5. A(4,8), B (6, 7) C ( 9, 3). Indicate what type of dilation this is. Also, list the image of the figure A',B'C'.
Answers
Answer:
you should use formula
Answer:
I don't know the answer please tell me the answer what is your name please tell me the name
How many solutions does 5 - 2x = 4 - 2x + 4 + x have?
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions
Answers
Answer:
One solution, being x = -3
Step-by-step explanation:
complement of 63 degrees?
Answers
Answer:
The complement of 63° is the angle that when added to 63° forms a right angle (90° ).
Step-by-step explanation:
I assume this is the answer u want, if not I apologize.
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answers
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
if the transformation was a rotation, tiffany..... be certain the trapezoids are congruent
A. can
B. cannot
Answers
Two figures are congruent when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
Rotation: the figure is turned around a fixed point;
Reflection: is created by fliping over the figure over a line;
Translation: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
What's 7 times 2 plus 5 to the 3rd power
Answers
Answer:
139
Step-by-step explanation:
7x2+5^3 = 139
f(x) = -4x^2 + 5x
Find f(6)
Answers
Answer:
-114
Step-by-step explanation:
f(6) it means f(x=6) so substituting x=6 in your equation gives us
f(6)= -4*(6)²+5*(6)
= -4*36+30
= -144+30
= -114
Two triangular tiles each have two sides measuring four inches. Which is a true statement?
A) Their corresponding angles are congruent.
B) The triangles are congruent.
C) The triangles may be congruent.
D) The triangles cannot be congruent.
Answers
Answer:
C; The triangles may be congruent
Step-by-step explanation:
Here, we have two sides of the each of the triangles equal already
By congruency, we might have SSS or SAS
if SSS, this mean that all the sides are equal
Since we do not know the measure of the third side, we cannot say that they are not congruent or they are congruent
Also, we do not know the measure of the angles of the triangles
If we have an angle that is equal in the two triangles, then we can have congruency through SAS
But since we do not know how these measures, we use the word ‘may’
2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7
Answers
Answer:
X = 4, x = -7
Step-by-step explanation:
You can set each equation in the parenthesis Equal to 0.
x - 4 = 0 and x + 7 = 0
start with x - 4 =0
add 4 to both sides
x = 4.
then do x +7 =0. subtract 7 from both sides.
x = -7
so x =4, and x = -7
7 The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400).
If the equation p = 50s - 200 represents the profit, p, based on s sales, what does
the intersection best represent?
A When the sales are 400, the profit is 12.
B When the sales are 12, the profit is 400.
C The profit is always 400.
D The sales are always 12.
Answers
Answer:
B When the sales are 12, the profit is 400.
Step-by-step explanation:
Given
[tex]p = 500s - 200[/tex]
[tex]p = 400[/tex]
[tex](s,p) = (12,400)[/tex]
Required
Interpret the intersection
From the intersection, we have the following parameters.
[tex](s,p) = (12,400)[/tex]
Literally, it means
[tex]s = 12[/tex] when [tex]p = 400[/tex]
From the question, we understand that
s represents sales while p, profit.
So, the interpretation of [tex](s,p) = (12,400)[/tex] is when sales = 12, profit = 400
(x + 3)(x^2 - 5x + 7)
write in standard form once you find answer.
Answers
x^3-2x^2-8x+21
What is the scale factor in the dilation?
Answers
Answer: 6
Step-by-step explanation:
Step-by-step explanation:
Step 1:
In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.
Step 2:
So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units. 9/3 = 3
So the scale factor is the third option 3.
A jewelry store is having a going out of busniess sale. All merchandise is marked 40% off the reguler price. The regualr price of a watch is $59.95. Find the amount of the discount and the sale price.
Answers
Answer:
Amount of the Discount: $23.98
Sale Price: $35.97
Step-by-step explanation:
In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...
40 / 100 = 0.40
1 - 0.40 = 0.60
0.60 * 59.95 = 35.97
Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.
59.95 - 35.97 = 23.98
Where does today come before yesterday? You guy can do this! :)
Answers
Answer:
in the dictionary.
Step-by-step explanation:
Answer:
Well the rationale utilized to unravel this enigma is that within the word reference words or letters are sorted out In order and subsequently Nowadays comes before Recently since within the letter set arrange or in order the Letter T comes some time recently the Letter Y.
Step-by-step explanation:
A county fair has different ticket prices for adults and children. The expression 6a + 5c represents the total cost in dollars of tickets for a adults and c children.
The Patel family spends $38 on tickets. How many adult tickets and child tickets do they buy?
Answers
Already solved, okay then. T4TP.
The no. of adults and children in Patel's family is 3 and 4 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A county fair has different ticket prices for adults and children.
The expression 6a + 5c represents the total cost in dollars of tickets for 'a' adults and 'c' children.
The Patel family spends $38 on tickets, which is,
6a + 5c = 38.
Now no. of adults and children which is a ≥ 0 and c ≥ 0 whole numbers.
So, 6×3 = 18 is, and 5×4 = 10 sums to 38 and satisfies our equation.
So, In Patel's family, there are 3 adults and 4 children.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
The student council held a car wash to raise 200$ for the childrens hospital. In the first hour, they washed 2 cars. Each hour after that, the number of cars they washed increased by 2. How many cars did they wash by the end of 6 hours.
Answers
Answer:
Number of cars washed at the 6th hour = 12 cars
Sum of all cars washed in 6 hours = 42 cars
Step-by-step explanation:
First term, a = 2 cars
Common difference, d = 2 cars
6th term = a + 5d
= 2 + 5(2)
= 2 + 10
= 12 cars
Sum of the 6th term = n/2{2a + (n-1) d}
= 6/2{2*2 + (6-1)2}
= 3{4 + (5)2}
= 3{4 + 10}
=3(14)
= 42 cars
Hep help please please
Answers
Answer:
The answer is 0, 5.25
Step-by-step explanation:
The sum of two numbers is 8 and the diffrence is 6 what are the two numbers?
Answers
x + y = 8
x - y = 6
Add the 2 equations
2x = 14 => x = 7
Plug 7 into the first equation => y = 1
I really hope this helps!
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
Answers
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.
Answers
Answer:
15x=300, x=20
20x=300, x=15
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
15x=300
x will equal 20
20x=300
x will equal 15
Question in picture solve
Answers
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.
what is 3 tenths plus 8 tenths?
Answers
Answer:
1.1
Step-by-step explanation:
A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?
Answers
Answer:
$40
Step-by-step explanation:
50/5=10, 10•4=40
50 bags divided by 5 is 10
10 x $4 is $40
pls help me with this
btw the question
asks what v(-2) means in this situation
Answers
Answer:
20
Step-by-step explanation:
if correct will get brainlliest
Answers
Answer:
Gold is LESS expensive than platinym because SLOPE of graph is LESS
SLOPE gives UNIT DOLLARS PER OUNCE.
Step-by-step explanation:
if correct
Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?
A.
253
B.
2503
C.
2530
D.
25,300
Answers
Leah and her children went into a restaurant and will buy hotdogs and tacos. She
must buy a maximum of 13 hotdogs and tacos altogether. Write an inequality that
would represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answers
Answer:
The equation to solve this is: h + t is less than or equal to 13
Step-by-step explanation:
2x + 22 = 4(x + 3)
Please help me
Answers
Answer: x=5
Step-by-step explanation:
2x+22=4(x+3)
First distribute
2x+22=4x+12
Now intractable 2x from both sides
22=2x+12
Now subtract 12 from both sides
10=2x
Now divide by 2 to get x alone
5=x
So
x=5
Answer:
The answer is x = 5, see comments for explanation.
2.332 divided by 2.2
Answers
Answer:
1.06
Step-by-step explanation:
2.332 divided by 2.2
= 1.06
Hope this helped!
Answer:
1.06
Step-by-step explanation:
help me real quickhahahahaha
Answers
Answer:
19
Step-by-step explanation:
2d= 2 x 8= 16
16+3= 19
Answer:
Step-by-step explanation:
2d + 3 (d=8)
(2*8) + 3 =
16 + 3 =
19