Answers
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
Related Questions
can someone help me on this one plss i REALLY need this for school
Answers
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.
Answers
Answer:
mm
Step-by-step explanation:
c) 2 x x 3 x y
Please help
Answers
The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Answer:
34
Step-by-step explanation:
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
x/5+5=6
32−4x=12
11 + 6x = 22
3x + 1 = 9
25/x+4=9
Answers
how do you simplify 2.7 x 6
Answers
Answer:
16.2
Step-by-step explanation:
"the product of negative three and x"
Answers
That’s pretty much it
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Answers
====================================================
Explanation:
Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.
What is 2(-2) raised to the power of 3 - 6x?
Answers
Answer: -2 * (3x + 8)
Would appreciate brainly <3
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Answer:
w>-20
Step-by-step explanation:
what is the x intercept
Answers
Answer:
The answer is B
6457/25 using partial products
Set up using the same way please.
Answers
Answer: 6457/25=258.28
Step-by-step explanation:
Answer:
258.28 Hope this helps! Please mark brainliest it means a lot to me
Step-by-step explanation:
Th=0
H=2
T=5
0=8
tenth=2
hundredth=8
You could get the answer by doing long division/standard algorithm
BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
25 days
Answers
Answer: 4 days
Step-by-step explanation:
Solve the slope for the table.
Answers
Answer:
Slope = -1
Step-by-step explanation:
7-9/-1+3=-2/2=-1 : Slope Formula
hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)
Answers
Answer:
0.86 as a percent is 86%.
Step-by-step explanation:
Have a great rest of your day
#Nova
P.S
give the braineist to the other person pls
The product of six minus a number and five equals 60÷2 which equation relates the sentence
Answers
Answer:
Step-by-step explanation:
help.. What is the domain of the function
Answers
Answer:
i think d
Step-by-step explanation:
PLEASE HELP i will give brainliest no links
Answers
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
I need help quickly
Answers
What are the sums for both of those?
Answers
1\4-2\5
plese help and thank
you
Answers
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
test again Add.
3/8+3/8
Answers
Answer:
3/4 or 0.75
Step-by-step explanation:
[tex] \frac{3 }{8} + \frac{3}{8} [/tex]
transform the equation
[tex] \frac{3 + 3}{8} [/tex]
calculate
[tex] \frac{6}{8} [/tex]
simplify
[tex] \frac{3}{4} [/tex]
or 0.75
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answers
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
Need help really quick look at the picture thank you soooooooo,, muchh
Answers
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
I’ll mark brainliest!! Please help:)
Answers
Answer:
E
Step-by-step explanation:
For a Brainlist please help me out
+ give accurate explanation
Answers
Answer:
A:Tina's. B: Gabby's
Step-by-step explanation:
Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.
At this point, let's start dealing with the questions.
A. They bought the plants at week 0.
For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]
For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.
B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.
parallel perpendicular or neither
Answers
who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}
Answers
Answer:
x-2y=12
Solve for y
x-2y=12
Subtract x on both sides
-2y=-x + 12
Divide both sides by -2
y=\frac{1}{2}x - 6y=21x−6
the domain is {-3,-1,0,2,5}
Domain are the set of x values
Range are the set of y values
We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6
when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5
when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5
when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6
when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5
when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5
Range is {-7.5, -6.5, -6 , -5, -3.5}
Step-by-step explanation:
solve the equation ? 1 equation with 2 variables ? that is not possible.
what you mean is probably find the range.
x - 2y = 12
-2y = -x + 12
2y = x - 12
y = (x - 12)/2 = (1/2)x - 6
x = -3
y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5
x = -1
y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5
x = 0
y = 1/2 × 0 - 6 = -6
x = 2
y = 1/2 × 2 - 6 = 1 - 6 = -5
x = 5
y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5
so, the corresponding range of the function is
{-7.5, -6.5, -6, -5, -3.5}
plss help, it’s pretty easy tho
Answers
Answer:
B
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answers
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
