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
Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?
Answers
Answer:
I don't know but
1+2=3
3+3=6
6+4=10
10+5=15
if this helps you make any sense of it.. tell me
Step-by-step explanation:
Answer:
These are triangular numbers.
Step-by-step explanation:
The explicit formula for the nth term of the sequence id 1/2n(n+1).
So for, example, the 6th term = 1/2*6(6+1)
= 21.
They all fit exactly into equilateral triangles.
I need help with this and thought if any of you guys can help
Answers
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
3g + h = 1
-2g + h= 10
?
Answers
Answer:
{g,h} = {-9/5,32/5}
Step-by-step explanation:
h = 2g + 10
3g + (2g+10) = 1
[1] 5g = -9
5g = - 9
g = - 9/5
g = -9/
h = 2g+10
h = 2(-9/5)+10 = 32/5
{g,h} = {-9/5,32/5}
which of these tables represents a function? HELP ASAP
Answers
3850 times a 1.3% interest rate for 6 years
Answers
"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850
4. Claudia works at a sweet shop selling chocolate and caramel-dipped apples. During her shift, she
sells a total of 48 apples, Claudia sells the chocolate-dipped apples for $3 each and the caramel-
dipped apples for $3.25 each. She makes a total of $151. How many of each type of apple did she
make?
Answers
But it’s 28 Caramel dipped apples
And it’s 20 Chocolate dipped apples
Plz.Help!me to solve first ano. and bno.
Answers
Answer:
a) rs 3000
b) rs 16800
a) rs 1600
b) rs 4000
I'll give brainliest and extra points if someone helps me with all the questions!!
Answers
Answer:
2x-y=0
Step-by-step explanation:
By using two points form:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} }[/tex]=[tex]\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]
x1=-1 , x2=2 , y1=-2 ,y2=4
Substitute the values in the formula above:
[tex]\frac{y+2}{4+2}[/tex]=[tex]\frac{x+1}{2+1}[/tex]
[tex]\frac{y+2}{6}[/tex]=[tex]\frac{x+1}{3}[/tex]
2(x+1)=y+2
2x+2=y+2
2x-y=0
If you need to ask any questions, please let me know.Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)
Answers
How did the equation shift from the parent function? y = f(x - 4).
Answers
Answer:
x
=4
y=0 and x=4
x=
f
y
+4
Step-by-step explanation:
solve the mean of 4,5,3,4,3,1
Answers
Answer:
3.333 recurring
Step-by-step explanation:
Add and divide for the mean
Answer:
refer to the pic attached for steps
A grocery store buys cashews for
$8 per pound. The store wants to
markup the price by 20%. Which
expression below could be used to
find the new price of the cashews
Answers
Answer:
9.6
Step-by-step explanation:
20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6
The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the other leg, and round to the nearest tenth of an inch.
Answers
Answer:
Use Pythagorean theorm.
a^2 + b^2 = c^2 (c is hypotenuse).
Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.
We will say A is the "other leg" we know, which is 6.
6^2 + b^2 = (5+b)^2
We get b = 1.1
Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
75/4
Step-by-step explanation:
b+2/3=11/4
3b+2/3=11/4
3b+2=11×3/4
3b=33-2/4
3b=33-8/4
3b=25/4
b=25×3/4
b=75/4
The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
b + 2/3 = 1 ¹/₄
Convert the mixed fraction into a fraction number, then we have
b + 2/3 = 5/4
Simplify the equation, then we have
b = 5/4 - 2/3
b = 7/12
The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
HELPPP.!!!
Answer choices:
−y ≥ x + 4
−3x + 3y ≤ −9
−y ≤ 3x + 4
−3x + 3y ≤ −9
y ≤ −x − 4
−x − y ≤ − 4
y ≤ −x + 4
−4x + 4y ≤ 16
Answers
Step-by-step explanation:
the second option.
you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).
the slope is always the factor of x in an equation of
y = ax + b
the only equation provided in the answer options with slope -3 is
-y <= 3x + 4
because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :
y >= -3x - 4
there you have it. no other equation here can be transformed into this.
as a control we also look at the second equation :
-3x + 3y <= -9
3y <= 3x - 9
y <= x - 3
this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.
so, it is all correct.
What is the length of the triangle shown below
Answers
[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\cos 45^{\circ} = \dfrac{s}{10\sqrt 2}\\\\\implies \dfrac 1{\sqrt2} = \dfrac{s}{10\sqrt 2}\\\\\\\implies \dfrac s{10} = 1\\\\\implies s= 10[/tex]
A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?
Answers
Answer: 35 bran muffins can be made with 2 1/3 cups of flour.
leave a thanks if helped pls <3
Which table of values represents a linear function?
Answers
Tell me if you want me to explain.
Hope this helped!! :)
need helps plsssssssssssssss
Answers
Answer:
64
Step-by-step explanation:
4^3 is just 4*4*4
so 4*4=16
and 16*4=64
TADAAAAAAAAAA
The value of 4^3 is 64
………………
a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players that can be taken to the tournament is 12 players.
The equation that can be used to represent the total amount spent by the soccer team is:
Total amount spent = cost of rented bus + (cost per meal x total number of players)
$1530.50 = $1164.50 + $30.50x
Where: x = total number of player
In order to determine the value of x, the following steps would be taken:
Combine similar terms
$1530.50 - $1164.50 = $30.50x
$366 = $30.50x
Divide both sides of the equation by 30.50
x = $366 / $30.50
x = 12 players
A similar question was answered here: https://brainly.com/question/22358515
Can you please give me that answer
Answers
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
Chapter 4 Test, Question 15, 6th grade
b. What fraction of voters do not vote for the winning candidate? Write the fraction in simplest form.
_____ of the voters do not vote for the winning candidate.
Answers
two rays that have a common endpoint and form a line
Answers
Answer: Overview. An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.
Step-by-step explanation: just have done with before! i am really good at it
I was gone for 2 days in school and have no idea how to do this, anyone mind helping.
Answers
They are perpendicular lines.
What do you notice about the equations for the two lines?
They are opposite of each other.
How to find standard deviation khan academy.
Answers
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
a touch of italy has a special offer on lunch pizza:$4.00 for each slide and they charge $2.00 to deliver.write an expression to determine how much it would cost to buy s slices of pizza
Answers
Answer:
Step-by-step explanation:
4 x 2 = 8
there fore, it would take 8 $ to buy 5 slices excluding the delvry.
so, 8 x 2 = 16
16$ total
pls give me brainliest
You can multiply the 4 by however many slices (x) and the 2 would be the y intercept
Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination
Answers
Answer:
12
Step-by-step explanation:
the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon
so here 180n-360=150n
30n=360
n=12
A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?
Answers
Answer:
about 14 to 15 hours if it burns at that speed while it is burning
Answer:
17.5
Step-by-step explanation:
Find the quotient. Write the answer in the simplest form.
58÷34
Answers
Answer:
1.70588235294
Step-by-step explanation:
i think
Answer:
1.70
Step-by-step explanation:
need help fast!! pleaseeeeeeeeeeeeeeeeeeeeeeee
Answers
What am I supposed to help with. You didn't put anything.