9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Solve the equation. Select all that apply.
x2 = 121
Answer:
x = ±11
Step-by-step explanation:
Step 1: Write equation
x² = 121
Step 2: Solve for x
Square root both sides: x = ±11Step 3: Check
Plug in x to verify it's a solution.
(-11)² = 121
121 = 121
11² = 121
121 = 121
Write down the formula for the nth number and calculate the 10th number and the 101th number of the following sequence: 74, 58, 42, ...
Answer:
nth number: 74+(n-1)*(-16)
Step-by-step explanation:
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance
Answer:
The percentage increase in the cost of her car insurance is 260.4%
Step-by-step explanation:
First, we are going to find by how much the insurance increased:
We know that this year she pays £883 and the last year she paid £245, so
insurance increase = £883 - £245
insurance increase = £638
Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%
percentage increase = (\frac{638}{245} )(
245
638
) (100%)
percentage increase = (2.604)(100%)
percentage increase = 260.4%
We can conclude that Jo's car insurance cost increased 260.4%
david goes on an 8-mile walk every saturday. david completes the distance in 4 hours. at this rate, how many miles can david walk in 5 hours and 30 minutes?
Step-by-step explanation:
4 hours = 8 miles
1 hour = 8/4 = 2 miles
5.5 hours (5 hr 30 min) = 2 miles × 5.5
=11 miles
Express the following equation in slope-intercept form:
y+41 =
4
(x+16)
Select the best answer from the choices provided.
OA
4
y=-x+18
11
OB.
4
y=- - X+-26
11
Ос.
11
y=- - *+-19
4
D.
11
y= - X+3
4
Answer:
y=4x+23
Step-by-step explanation:
sorry cant choose answer choice ..i ant tell which is which...bu i think you should by now....
i hope this stilled helped
Please helpppp thank y’all
Answer:
105
Step-by-step explanation:
since its a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle
Answer:
105 degrees
Step-by-step explanation:
First add the angles that you already know, 52 + 23 = 75, then since we know that the whole thing is a straight angle (180 degrees) 180-75 = 105 degrees.
Hope this helped!
The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?
PLEASE HELPPP
Answer:
y(0) = -39
Step-by-step explanation:
15 * 3 = 45
6- 45 = -39
find the slope of the line y=4x - 5/7
Answer:
m=4
Step-by-step explanation:
Paul is making turkey burgers that are 1/4 pounds each. he has 2.93 pound of turkeys 
Answer:
12!!!!!!
hople it help
Step-by-step explanation:
You did not include the complete question which requires one to calculate the number of turkey burgers that can be made. The answer is that 12 turkey burgers can be made with 2.93 pounds of turkey.
There are 2.93 pounds of turkey and each burger will take 1/4 pounds out of this.
The number of burgers that can be made is therefore:
= Pounds of turkey available / Requirement per burger
= 2.93 ÷ 1/4
= 2.93 x 4/1
= 11.72
= 12 burgers
In conclusion, Paul can make 12 burgers.
Find out more at https://brainly.com/question/13576774.
Greg and Marti are racing remote control cars. The race starts at t=0 and the car’s distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.
The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.
Answer:
Marti
Step-by-step explanation:
Marti is farthest because it says that greg's car travels 13 feet but after two seconds he was at 30.7 away from the start line and marti was 2 feet in front but martyi goes faster because her car goes way more faster every second: (16.5 > 13) so: Greg is 30.7 + 13 x 10 = 160.7 | Marti: 2 + 16.5 x 10 = 167, So Marti wins the race and should be crowned the winner.
what is the value of x?
Answer: I believe 13.5
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
Answer:
the letter x is often used in algebra to mean a value that is not yet known. it is called a variable or sometimes an unknown in x + 2 =7 ,x is a variable,but we can work out its value if we try.....
2. If there are 120 vests and 30% of them are blue, how many blue vests are there?
What is the angle pair relationship between angles 6 and 8?
If 16 of 200 apples were bad, what percent is that?
A
8%
B
10%
C
12%
D
16%
Answer:
:)
Step-by-step explanation:
It's 8 percent! Mark brainliest pls
The table represents the total miles traveled, y, after a certain number of hours, x. A 2-column table with 5 rows. Column 1 is labeled hours: x with entries 1.5, 3.0, 5.0, 5.5, 7.0. Column 2 is labeled Miles: y with entries 60, 120, 200, 220, 280. Which linear equation represents the scenario? y = 7x + 280 y = 40x + 60 y = 40x y = 3x + 120
Answer:
y=40x
Step-by-step explanation:
got it right lol
Answer:
y = 40x
Step-by-step explanation: I took the test on edge
Which is the better buy a 12 pack of Pepsi for 3.50 or a 6 pack for 1.80
12 pack 1.80 plus 1.80 is 3.60 youd save 10 cents
Answer:
So i have been bying pepsis for a while and i think 12 pack for 3;50 because if you get 2 packs of 6 it is almost 3;50 with tax and all that so i would go with the 12 pack
Step-by-step explanation:
Simplify (-3/5) divided by (7/6) HELP ASAP
Answer:
-18/35
Step-by-step explanation:
(-3/5)/(7/6)=
(-3/5)x(6/7)=
(-3x6)/(5x7)=
-18/35
Describe in words a sequence of transformations that maps ABC to A'B'C'
Answer:
First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)
Step-by-step explanation:
Rule: Multiply x by 3. Then subtract 1 from the result to
get y
Which ordered pair, (x, y), works for the rule?
Choose 1 answer:
A-(2,7)
B-(1,2)
C-(3,1)
A line segment with endpoints P(1, 2) and Q(4, 3) is reflected across the line y = x. What are the new coordinates of the endpoints of the line segment?
Answer:
P' 2,1 AND Q' 3,4
Step-by-step explanation:
Saw it on another brainly so yea :)
- 5 x - 30 s 10
Solved,ease
Answer:−30s10−5x
Step-by-step explanation:
Which amount is bigger? x^0, 1/x or x^-1, assuming that x > 1
Answer:
x^0
Step-by-step explanation:
1/x = x^-1
For x > 1, this fraction is less than 1, so will be smaller than x^0, which is 1.
x^0 is bigger
I dont get this at all somebody help
Answer:
ok lets relax and figure this out,
so the arts academy basically has only 100 students.
There’s 4 tutors per 40 students.
6 teachers per 114 students
so it’s basically division
19 kids per teacher, 1 tutor per ten kids
see? All worked out! If you need help just add a comment to this!
10 2. Solve for x. Solve for X. Your answer must be simplified. -3 < X – 10 Your answer
Answer:
not sure if it correct OR not
Answer:x > 7 is the answer!
Step-by-step explanation:
Pls give the person above me brainliest
A bus makes a stop 2:30 letting off 13 people and lettng on 8. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stol compare to the number pf people on the bus before the 2:30 stop??
Answer:
The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.
Step-by-step explanation:
Let [tex]P_0[/tex] be the total number of peoples on the bus before 2:30 stop.
For the first stop at 2:30:
The bus let off 13 people, so, the total number of remaining people on the bus [tex]= P_0-13[/tex]
again, the bus let on 8 people, so, the total number of people on the bus
[tex]= P_0-13+8[/tex]
[tex]=P_0-5[/tex]
For the second stop after 10 minutes (i.e at 2:40):
The bus let off 3 people, so, the total number of remaining people on the bus [tex]= P_0-5-3[/tex]
[tex]=P_0-8[/tex]
After the second stop, the number of people on the bus is [tex]P_0-8[/tex], where P_0 number of peoples on the bus before 2:30 stop.
Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.
I am a 3 digit number. I have the largest 1 digit number in the tens place , the number that has the same place value always in the ones place and 4 in the hundredth place. Who am I?
Answer: 490
Step-by-step explanation:
10. A pizzeria charges $11.00 for a large cheese pizza and $0.75 per topping on the pizza. Find the slope.
A. $11.00
B. $0.75
C. $11.75
D. $10.25
Answer:
I'm pretty sure the answer is "D".
Step-by-step explanation:
On a scale drawing,
1
2
inch = 1 foot. A rectangular room measures 6 inches by 11 inches on the drawing. What is the area of the actual room?
here are the chooses : A.
33 square feet
B.
66 square feet
C.
132 square feet
D.
264 square fee
Given parameters:
Dimension of the room = 6 inches by 11 inches;
Unknown:
Area of the actual room = ?
Solution:
The area of the room = length x breadth
Now, we need to convert inches to feet;
Scale;
1 inch = 1 foot
6 inches = 6 foot
1 inch = 1 foot
11 inch = 11 foot
The area of the room = 6 x 11 = 66 square feet
Answer:
6 x 11 = 66 square feet
Step-by-step explanation:
What is 8 divided by 3526
Answer:
The answer is 4/1763 in fraction
In decimal, the answer is 0.001 rounded to thousandths.
Step-by-step explanation:
If you want to divide this, you will have to make this expression to a fraction
to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.
Math problem number 6 its in the ss