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
In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!
Answers
Step-by-step explanation:
By reflection
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
" Draw three lines with slope 2, and three lines with slope 1/3. What do you notice "
Answers
Answer:
Step-by-step explanation:
1.
all the lines with slope 2 are parallel with each-other
all the lines with slope 1/3 are parallel with each-other
2.
all lines have positive slope so they go upward from left to right
3.
slope 2 is steeper then slope 1/3
4.
the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2
What is the measurement of this angle?
Answers
Answer:
I believe it is 82.
Step-by-step explanation:
This is because a triangle's angles add up to 180. 180-65-33=82
Sorry if this is wrong
solve the inequality 4x-3=2x+7
Answers
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
PLEASR HELP MEEEE ASAP
Answers
Answer:
A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)
B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.
I hope I helped :)
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answers
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
help will give brainliest
Answers
Answer: the answer is line 2
Step-by-step explanation:
1. Subtract the linear expressions.
(45x−5)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
2. Add the two expressions.
−2.4n−3 and −7.8n+2
Enter your answer in the box.
3. Subtract the linear expressions.
(−3.6x+9.4)−(1.9x+3.6)
What is the difference?
Enter your answer in the box.
4. Subtract 5x−2 from −3x+4 .
A.2x + 2
B.8x−6
C.−8x+6
D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest
Answers
[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]
Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces
Answers
Answer:
the answer is 2.28 ounces
Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.
Answers
Answer:
Step-by-step explanation:
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
DO NOT SEND LINKS OR I'LL REPORT! Find the value of X, it's a parallelogram. Offering 50 points
Answers
Answer:Whats the question or add a picture
Answer:
127 degree I guess because I don't see a picture
Step-by-step explanation:
is the picture showing 53 degrees
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answers
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
Could someone please help me on this equation?
Answers
Answer:
y = (x+2)x7
Step-by-step explanation:
Answer:
y = 7x + 14
Step-by-step explanation:
1. Add 2 to x = x + 2
2. Multiply x + 2 by 7 = 7(x + 2)
3. Simplify: y = 7x + 14
What is the absolute value of - 2 2/3
Answers
Answer:
2 2/3
Step-by-step explanation:
absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3
What trig function and angle is equivalent to sin(270°)?
Answers
Answer:
θradians sin(θ)
3π/2 -1
Step-by-step explanation:
leave a thanks if helped pls <3
The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,
sin(270°) = sin(3π/2) = -1
Also, if the trigonometric function is needed to be changed then we can write,
sin(3π/2) = cos(π) = cos(180°) = -1
Hence, the trigonometric function and angle are equivalent to sin(270°).
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ2
for a brainlist please answer
Answers
Answer:
The variable should not be Less than or equal to... it should be GREATER than or equal to [[tex]y\geq 2x-4[/tex]]
Step-by-step explanation:
Answer:
I believe her mistake is that the shaded area is on the wrong side of the line.
Step-by-step explanation:
9.
Identify the maximum value of the function y = −4x^2 − 24x + −36.
A. 3
B. 0
C. −36
D. −4
Answers
Answer:
B. 0
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 0 )
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answers
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer: First bag unit price: 1.78
second bag unit price : 1.83
Step-by-step explanation:
divide the price by the weight. First bag is better
24.0370085031 as a whole number
Answers
Answer:
Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one
Step-by-step explanation:
Linear or nonlinear:
why?
Answers
non-linear because for each value of x you have more than one value of y.
Answer:
nonlinear
Step-by-step explanation:
it is basically the opposite of linear graph
This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line
Find the perimeter. Simplify the answer.
Answers
Answer:
4u
Step-by-step explanation:
Perimeter of square = u+u+u+u
= 4u
How to calculate percentile.
Answers
Answer:
Step-by-step explanation:
Percentile Formula
P = (n/N) × 100
Where,
n = ordinal rank of the given value or value below the number
N = number of values in the data set
P = percentile
Or
Percentile = (Number of Values Below “x” / Total Number of Values) × 100
Answer:[tex]\frac{x}{x+....}[/tex]×100
Step-by-step explanation:
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?
Answers
Answer:
379 : 62
Step-by-step explanation:
Let’s gather the info from the problem.
1580 adults and children on a ship.
60% of them are adults.
percentage of adults and students remaining on the ship decreases by 20%
60% of 1580 is 948 so there are 948 adults onboard
leaving the remaining children which is 632
948 Adults
632 Children
Adults decreases by 20% so 758 adults
Children decreases by 20% so 124 children
the ratio is 758:124 simplified would be 379 : 62
STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3
Answers
Answer:
a.
Step-by-step explanation:
Answer:
A, B, E
Step-by-step explanation:
I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!
2385/3498=15/22
3945/5786=15/22
2340/3588≠15/22
2480/3410≠15/22
4650/6820≠15/22
2310/3696=15/22
[tex]\sf 6-2x+5+4x[/tex]
Last one! bye!
Thanks!
Answers
[tex]\sf 6-2x+5+4x[/tex]
[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]
[tex]\sf \longmapsto - 2x + 4x + 11[/tex]
[tex]\sf \longmapsto2x + 11[/tex]
please help me. I need to find what W is
Answers
Answer:
9
Step-by-step explanation:
w+13-[tex]\frac{2w}{3}[/tex]=16
w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]=3
w=9
A swimming pool already has 35 liters of water. It is being filled with 1.5 liters of water per minute. Which equation can be used to represent the amount of water in the pool, y, after x minutes?
Answers
Answer:
35x + 1.5
Step-by-step explanation:
What is considered an exponential monthly growth rate.
Answers
The Answer equals 1.9%
