the sum of two consecutive integers is -35. Name the integers
Given the quadratic equation ² + + = 0 where , , are real numbers and ≠ 0, which of the following is the sum of its roots? *
A.) a
B.) c
C.) -b/a
D.) c/a
Answer:
Here is a more clearer version of the same question ;
29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.
The proving of both a) and b) has been done
Step-by-step explanation:
The step by step explanation has been given in the attachment below.
Step-by-step explanation:
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, price, number of power settings, and color. What are the individuals in this data set?
a) microwave ovens
b) brands
c) prices
d) colors
Answer:
a) microwave ovens
Step-by-step explanation:
Since we don't know what the dataset is, we cannot say with certainty what its elements are. The first sentence talks about microwave ovens, so it may be reasonable to assume that will be the members of the data set.
_____
Additional comments
In computer programming terms (as for a shopping web site, for example), the data set would consist of tuples of ...
(brand, price, number of power settings, color)
and perhaps other attributes, such as dimensions, home/commercial, length of warranty, and more. That is, the appropriate answer would be "all of the above."
__
We recommend you discuss this with your teacher and try get a clear statement of the rule that can be applied to questions like this. There are many "this situation" questions that are popular now, in which "this situation" could be any of numerous features of the scenario described. Defining the question properly is the first step to solving it.
Answer:
A
Step-by-step explanation:
from the first step of the construction, drawing the arcs on both rays establishes that AB is
similar to AC
Congruent to AC
Different from AC
Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass
Step-by-step explanation:
HELP PLEASE DUE SOON I NEED HELP FIND THE SLOPE
Answer:
1/3
Step-by-step explanation:
Hope This Helps!
What’s the answer 6^8n+6=1296
Answer:
So I did it and I got 4 it might be right might not I hope this helped.
Step-by-step explanation:
1) What is the inverse of the function y-2=3x?
2) What is the inverse of the function y=2x-3?
Write an equal ratio for the fraction 5/7
Answer:
To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...
5 x 2 = 10
7 x 2 14
So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...
5 x 3 = 15
7 x 3 21
5 x 4 = 20
7 x 4 28
Hope this helped you c:
A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same
distance in each number of hours.
travel time
(hours)
rate of travel (miles per
hour)
5
4.5
3
2.25
Part 2. In the scenario in question 4 write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if they traveled for t hours WILL GIVE 80 POINTS 
Answer/Step-by-step explanation:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Therefore, rate travelled for t hours would be:
[tex] r = \frac{180}{t} [/tex]
The rate of travel gives the average speed the car will be going if it covers
the 180 miles in different times
Part 1. The table showing the rate at which the car was going is presented as follows;
[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]
Part 2. To make it easy to find the rate of travel, the following equation may be uses;
[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]Reasons:
Part 1.
The given distance travelled by the car = 180 miles
[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]
Therefore, we have;
[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]
Part 2.
The equation that would simplify the finding of the car's travel rate is given
by the following expression;
[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]
Where:
The constant distance traveled = 180 miles
The time taken = t
The equation that will make finding the rate of travel, easy in therefore;
[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]
Learn more:
https://brainly.com/question/17374284
the solution of the equation y+2=_2 is
Answer:
the answer is y= -4
Step-by-step explanation:
in this you basically just isolate the variable which means that you get rid off all the numbers that are applied to the varible by preforming the opposite opperation. In this case if you subtract 2 from both sides, the 2 on the left gets cancelled out and the -2 on the right turns into -4, so your equation would look like y=-4
Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?
Answer:
10.5 bottles of orange juice
Step-by-step explanation:
Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?
Number of bottles of orange juice = x
Number of bottles of soda water = y
The recipe calls for 3.5 times as many bottles of soda water as orange juice.
Hence,
x = 3.5y
If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle
We have:
3.70y + 0.90× 3.5= 20.55
3.70y + 3.15y = 20.55
6.85 = 20.55
y = 20.55/6.85
y = 3 bottles
Since, Number of bottles of soda water = y, Number of bottles of soda water = 3
Note that: x = 3.5y
x = 3.5 × 3
x = 10.5 bottles
Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles
WILL GIVE BRAINLIEST, PLS ANSWER ASAP
Answer:
THE THIRD CHOICE
Step-by-step explanation:
What is 9/4 - 7/10 subtracting fractions
Answer:
31/20
Step-by-step explanation:
write all numerators above the LCD 20
45-14/20
subtract the numbers
31/20
Answer:
31/20
Step-by-step explanation:
what is the answer to 8(4h+5)
Answer:
32h+40
Step-by-step explanation:
8*4h=32h
8*5=40
A point is randomly selected on the grid. What is the probability that the point will be located in the shaded region? Give your answer as a fraction,
Answer:
how big is the shaded region tell me that and i will edit my answer to the right one
Step-by-step explanation:
Answer:
13/24
Step-by-step explanation:
I just did it happy holidays
Arrange 88,667 132,414 23,112 83,001 to smallest to largest
Answer:
001,23,83,88,112,132,667
Step-by-step explanation:
Are you kidding me that you need help on this?
14 POINTS AND BRAINLIEST HELP IM TAKING A TIMED TEST!! SHOW ALL WORK
Answer:
-1.5Step-by-step explanation:
Solving in steps
(x-2)/7 = (2x+1)/44(x-2) = 7(2x +1)4x - 8 = 14x + 714x - 4x = -8 - 710x = - 15x = -15/10x = -1.5What is -3(5x-1)=-27?
Answer:
2
Step-by-step explanation:
5x-1=9
5x=9+1
5x+10
x=2
What happens to Jay's motion at 30 minutes into
his walk?
Answer:
Jay starts moving at a constant speed , coming towards the reference point.
Step-by-step explanation:
A calling plan charges $0.10 per minute and a monthly fee of $5.99. How many minutes can a customer talk if
they want the bill to equal $37.99?
Answer:
320 mins
Step-by-step explanation:
Answer:
320 minutes
Step-by-step explanation:
37.99-5.99= 32
32/.10 = 320 minutes
You and your sister help your neighbor rake their lawn. Your sister can rake at a rate of 2
square meters per minute, and you can rake at a rate of 4 square meters per minute. You
start at the same time. After how many minutes will you rake 8 square meters more than
Your sister?
Answer:
4 minutes
Step-by-step explanation:
Min. Sister. You
1. 2. 4
2. 4. 8
3. 6. 12
4. 8. 16
Need this ASAP!!!PLLSS HELP!!
The price of a sweater is 40% off the original price of $20.00. What is the new price of the
sweater?
A $14
B $8
C $10
D $12
Answer:
the amount of the shirt is 12 dollars
Step-by-step explanation:
.40×12=12
Ευρωλο
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar
transported
Let Crepresent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.
Equation:
DO
Total cost to transport 19 tons of sugar: sl
х
Answer:
$10,825
Step-by-step explanation:
let C: represent the total cost which is what we are looking for
let a: represent the cost of renting a truck
let b: represent the cost of each tone of sugar
let s: represent the quantity of the tons of sugar
From the question the additional cost of the sugar depends on the tons
so we multiply the tons by $175
so our equation will be
C = a + bs
in this case our value of b is $175
so we have
C = a + $175s
C = $7500 + ($175 * 19)
C = $7500 + $3325
C = $10,825
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.
Answer:
1,267,200
Step-by-step explanation:
Given that the map reported that the scale is 1 inch to 20 miles.
Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200
Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200
8 - 5 + 2 = evaluate
Answer:
Your correct answer is 5.
Step-by-step explanation:
8 - 5 = 3
3 + 2 = 5
Therefore, your correct answer is 5.
Which of the following shows a function written in equation notation that is equivalent to the function below? f(x) = 3(x+10)
Answer:
A. y = 3x + 10
Step-by-step explanation:
Answer is correct from plato too.
Answer:
y= 3(x + 10)
Step-by-step explanation:
I tried the y =3x=10 and I got it wrong, so I tried my answer and it said it was correct.
Tom needs to paint a straight fence consisting of 6 panels. He has green, red, and magenta paint, and each panel should be painted with only one color.
How many ways are there to paint the fence?
Answer:
Total number of ways = 20
Step-by-step explanation:
Given:
Total number of panels = 6
Total number of color = 3
Find:
Total number of ways
Computation:
Total number of ways = ⁶C₃
Total number of ways = !6/!(6-3)!3
Total number of ways = !6/(!3)!3
Total number of ways = 20
Answer:20
Step-by-step explanation:
idk
Here are some letters and what they represent. All costs are in dollars. M represents the cost of a main dish n represents the number of side dishes s represents the cost of a side dish t represents the total cost of a meal What does ns = 6 mean in this situation?
Answer:
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
Step-by-step explanation:
M represents the cost of a main dish.
n represents the number of side dishes.
s represents the cost of a side dish.
t represents the total cost of a meal
Total cost of side dishes = Cost of a side dish × Number of side dishes = ns
Therefore,
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
7(7 + 5r) = 7(2 + 6r) please show work
Answer:
r=5
Step-by-step explanation:
1. Use the division property
49+35r=14+42r
2. Combine like terms
35=7r
3. Divide
r=5
Answer:
r = 0
Step-by-step explanation:
7 ( 7 + 5r ) = 7 ( 7 + 6r )
First use the ditributive property of multiplication -
49 + 35r = 49 + 42r
Subtract 35r from both sides -
49 = 49 + 7r
Subtract 49 from both sides -
0 = 7r
r = 0
Hope this helped! :)
If f(x) = 2x2-4x+12 , what is f(-4)
