Answer:
D is the correct answer
Step-by-step explanation:
Answer:
B. 13/2Step-by-step explanation:
Given equation:
2x² + 7x - 15 = 0It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
r + s = -7/2Product of roots:
rs = -15/2Use the above two equations to work out the value of r - s:
[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]Correct choice is B
Nada drinks 54 glasses of water a week. How many glasses of water does she drink in 9 Weeks?
Answer: 486 glasses of water in 9 weeks
Step-by-step explanation:
54 X 9 = 486
Or you could add 54 to itself 9 times then you will get 486
How many solutions are there to the equation below?
5x + 15 = 5(x+4)
Answer:
I think it 2 solution to the problem you can add or multiple
35-2x4 to the 2 power
Answer:
I belive the answer is 3.
Step-by-step explanation:
35-2x4^2
35-2x16
35-32
3
Answer:
[tex]1225-140x^4+4x^8[/tex]
Step-by-step explanation:
(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]
Applying this formula, we get 1225+4x^8-140x^4
what are the four functions that are increasing on the interval
Answer:
Tbh i don’t really know
Step-by-step explanation:
Ask someone else
Find the values of x and y
Answer:
X=20
Y=70
Step-by-step explanation:
All angles within a triangle add up to 180
180 - 40 = 140
140 is the top angle of the big triangle
140 + x + x = 180
x = 20
Now use x to find y by subtracting from the right angle (90 degrees)
90 - 20 = 70
70 + 40 + y = 180
Y = 70
Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²
hurry please im timed whoever gets the correct answer ill give brainliest
Answer:
the answer is 7 + 3 . 5
Step-by-step explanation:
find the limiting value using L hospital
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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YES I Am GIVING A BRAINLIST pls be accurate
One equation in a system of equations is y = 4x + 5. Which equation below would have to be the second equation so that the system has (1, 9) as its only solution?
Question 5 options:
y = 3x - 1
y = 5x + 4
y = -2x - 8
y = 6x - 8
Answer:
y = 5x +4
Step-by-step explanation:
x has to equal 1
y = 5(1) +4 = 9
What is the value of n.
n
30°
E
973
???
Answer:
13.5
Step-by-step explanation:
use soh cah toa
cos 30 × 9√3= n
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?
Answer:
$1.76
Step-by-step explanation:
First we need to figure out the cost of one apple.
To do this, divide the cost by the amount.
That's .65/3, which equals .216666, but we should round that number to .22
So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76
Hope this helps :))
At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question,
The cost of 3 apples = $0.65
The cost of 1 apple = $0.65/3 = $0.22
The cost of 8 apples = $0.22 × 8 = $1.76.
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six times a number is 21 less than nine times the same number find the number
Answer:
x = 7
Step-by-step explanation:
Algebra to Equation:"six times a number is 21 less" = 6x + 21
"nine times the same number" = 9x
Equation: 6x + 21 = 9x
Solve:6x + 21 = 9x [tex]\longmapsto[/tex] Subtract 6x from both sides
21 = 3x [tex]\longmapsto[/tex] Divide both sides by 3
7 = x
x = 7
-Chetan K
A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.
What is the cylinder volume?The formula for the volume of a cylinder is seen as:
V = πr²h
where
V = volume
r = radius of the base
h = height of the cylinder.
Then by Substituting the given values, we will have:
V = π(10m)²(18m)
= π(100m²)(18m)
= 18000π cubic meters
To be able to find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:
V ≈ 18000 × 3.14
= 56520 cubic meters
Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.
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A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time
Answer:22$
Step-by-step explanation:
2x8.50 = 17+5 = 22$
How long do they bowl
Don’t understand please help
Answer:
Table I blank is 1
Table II blank is 1.398
Express as simply as possible with a rational denominator
1/2√3
Rationalise the denominator of 1/2√3
Detailed answer is in the image attached.
Hope it helps you....
Please mark as Brainlliest!!!
5p2 =20 encuentra el valor de p2
Hola!!
5p² = 20
p² = 20/5
p² = 4
p = √4
p = 2.
El valor de p² es 4 & p es 2.
------------
¡Espero que te ayude!
RainbowSalt2222 ☔
Can you help me plzzzzzzz
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
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rsm geo lol- no idea how to start or do it at all
Answer:
42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!
Step-by-step explanation:
Using vertical angles theorem, we can get another 42, 180-42, and 180-42.
So we have 42, 138, and 138
what is the best way to remember the distributive property?
Answer:
Think of it as.....
a(b+c) also know as... ab+ac=______
Step-by-step explanation:
hope this helps!
your going to rock the distributive property
Answer:
Maybe to practice at least 10 problems a day, the more you have right the more you are gonna see yourself become more successful in that area.
Also watch videos, anyone that you can find I recommend.
or go to Khan Academy.
Step-by-step explanation:
I did it as well and now I pass everything that is compared to that subject.
What is the image of the point (- 6, 1) after the reflection over the line y = 2 ?
A. (- 4, 1)
В. (10, 1)
C.(- 6, 3)
D.(- 4, 3)
The image point is (-6, 3).
What is the image point?According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").
The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)
To find the image of the point (-6 ,1);
The formula:
(a, b) → (a, 2k-b)
Here a=-6, b = 1, k = 2
therefore (-6, 1) → (-6, 2×2 (-1))
= (-6, 3)
Hence, the answer is (-6, 3).
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A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
If 3x + 6 = 21, what does x + 2x plus 2 equal?
Answer:
x+2x+2=17
Step-by-step explanation:
I'm assuming that's what you're asking, so here is the answer explanation.
3x+6=21
3x=15
Hence, x=5
Apply x=5 to x+2x=2
5+10+2
=17
A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW
Answer:
IS LINEAR
Step-by-step explanation:
What property of addition is defined by ( a + b ) + c + a + ( b + c )
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition states that ( a + b ) + c = a + ( b + c )
In Jamal's county, there are
60 farms that cover about 8,370 acres of land.
If the farms are all approximately the same
size, how many acres is each farm?
Answer:
139.5
Step-by-step explanation:
8370/60
=139.5 per farm
The number of acres is each farm is 139.5 acres
Given that, 60 farms that cover about 8,370 acres of land.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number acres is each farm = Total number of acres/Number of farms
= 8,370/60
= 139.5 acres
Therefore, the number of acres is each farm is 139.5 acres
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Tell whether x and y show direct variation x= (y-2)/(9)
PLEASE HELP I"LL MARK BRAINLIEST
EXPLAIN PLS
Answer:
not a direct variation
Step-by-step explanation:
x = (y-2)/9 is also x = y/9 - 2/9
we can convert this into slope-intercept form
y/9 = x + 2/9
y = 9x + 2
this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation
the direct variation equation y = kx does not have a b or a y-intercept
Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=
Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?
Answer:
See Graph below
Step-by-step explanation:
I hope this helps anyone who needs it :)