Answer:
B. y= 2x–15
Step-by-step explanation:
The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15
"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)
(8, 1) and (10, 5)
x in the first bracket is 8 and x in the second bracket is 10.
y in the first bracket is 1 and y in the second bracket is 5.
When this equation is applied to find the value for y we get:
y= 2x-15
y= 2(8)-15
y= 16-15
y= 1
y= 2x-15
y= 2(10)-15
y= 20-15
y= 5
We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)
A man has a fish tank with the following dimensions:
24cm
29 cm
41 cm
He needs to know approximate volume of the tank.
What is its approximate volume?
Answer:
28,536 centimeters cubed
Step-by-step explanation:
1. Multiply 24x29x41.
2. 24x29 = 696, 696x41 = 28536
3. Since there are three numbers with cm, it would be described as cubed.
What is the equivalent decimal of -1\5 and -2\9
Answer:
1/5=10/50
2/9=20/90
Step-by-step explanation:
1/5 is just a simpler way of saying 10/50 same as 2/9
The figure below is made up of Prism A and Prism B.
Prism A is 1 rectangular block. Prism A has a length of 5 centimeters, a width of 2 centimeters, and a height of 4 centimeters.
Prism B is made up of cubes, each measuring 1cubic centimeter.
Write an expression that would find the total volume of the figure, in cubic centimeters.
Then, find the total volume of the figure, in cubic centimeters.
Plz help I rly need this urgently will mark brainliest if correct :)
Answer:
a. 0.8x+1.25y
b. $5.70
Step-by-step explanation:
a. Let x represent the number of apricot bars and y represent the number of cranberry bars. A apricot bar costs 0.80 each and cranberry bars cost 1.25 each. So the expression for the income is 0.8x+1.25y.
b. To find the answer, plug in values to the previous expression. Since Kayley bought 4 apricot bars and 2 cranberry bars, plug in 4 for x and 2 for y.
0.8(4)+1.25(2)= 5.70
So, she spent $5.70.
I AM GIVING OUT BRAINLIEST One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
-x^2 + 18x + 81
3x^2 - 3x - 168
x^2 - 4x - 4
25x^2 - 30x + 9
x^2 - 14x + 24
Answer:
3/5
Step-by-step explanation:
First one 18^2 - 4(-1)(81) > 0 so no repeated root
Second one (-3)^2 - 4(3) (-168) > 0 so no repeated root
Third one (-4) - (4) (1) (-4) > 0 so no repeated root
Fourth one (-30)^2 - 4(25) (9) = 900 - 100(9) = 0 repeated root
Note this factors as (5x - 3)^2
(5x - 3)^2 = 0 take both roots
5x - 3 = 0
5x = 3
x = 3/5 = repeated root
The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5
How to know a quadratic has repeated root ?Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.
Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.
If [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.
Which quadratic has repeated root ?The discriminant of [tex]-x^{2} +18x+81[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]3x^{2} -3x-168[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]x^{2} -4x-4[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]25x^{2} -30x+9[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0
So, This quadratic has repeated root.
The discriminant of [tex]x^{2} -14x+24[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0
So, This quadratic has no repeated root.
What is the repeated root ?The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.
Simplifying the equation we get,
[tex]25x^{2} -30x+9[/tex] = 0
⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0
⇒ [tex](5x-3)^{2}[/tex] = 0
⇒ 5x-3 = 0
⇒ 5x = 3
⇒ x = 3/5
The repeated root is 3/5.
Learn more about quadratic here :
https://brainly.com/question/16073165
#SPJ2
Rectangle floor measures 10 1/8 by 13 3/4 feet. If Mary buys 150 ft.² of carpet, will she have enough carpet to cover the floor?
Show Work Please Due Today
Answer:
YES
Step-by-step explanation:
Calculate the actual floor area: A = (10 1/8 ft)(13 3/4 ft), or, as decimal fractions,
A = (10.125 ft)(13.75 ft) = 139.22 ft^2
Mary's purchase of 150 ft^2 of carpet is more than enough to cover 139.22 ft^2. YES, she will have enough carpet.
Please Help, Math question.
What is the prime factorization of 86? Use * for multiplication.
Answer:
2 * 43
Step-by-step explanation:
Answer:
2*43
Step-by-step explanation:
4a + 2 < 2- 4a helpppp ppppp
Answer:
a ≤0 but without the line
Step-by-step explanation:
Line A is perpendicular to Line B.
If the slope of Line A is - 5/8
what is the slope of Line B?
Answer:
5/8
Step-by-step explanation:
Which Graph represents the unction f(x)= -8/5x+8 with its intercepts?
Answer:
y-intercept is (0,8) and x-intercept is (5,0)
Step-by-step explanation:
which figures are polygons
Polygon: a figure formed by coplanar segments
with one distinct interior region
Figure A, Figure B, and Figure D would be considered polygons.
Notice that those figures I mentioned above are
composed of line segments, and nothing else.
In addition, these figures don't have two separate
interior regions and figures that do aren't polygons.
Figure C would not be a polygon because
it's formed by a curve rather than line segments.
Factor 2k^2+25k+72 completely
Answer:
(k + 8) • (2k + 9)
Step-by-step explanation:
I strongly suggest downloading Photomath. It’ll help a lot.
PLEASE ANSWER ASAP!!!!!!!!!!
What is the volume of the following rectangular prism?
Answer:
44/3
Step-by-step explanation:
The formula of volume of any prism is Bh
B=Area of the base
h=height
So just multiply them together:
So as a mixed fraction you get 14 2/3
Improper fraction: 44/3
Hope this helps!
Factor the trinomial
5x2+11x+6
Answer:
factor by grouping
(x-1) (5x-6)
Step-by-step explanation:
correct me if i am wrong
Arianna and her friend Alexa are going to a carnival that has games and rides. Arianna played 6 games and went on 2 rides and spent a total of $21.50. Alexa played 10 games and went on 7 rides and spent a total of $53.25. Write a system of equations that could be used to determine the cost of each game and the cost of each ride. Define the variables that you use to write the system.
Answer:
6x + 2y = 21.50 equation (i)
10x + 7y = 53.25 equation (ii)
Where x represent game and y represent ride.
Cost of 1 game = $2
Cost of 1 ride = $4.75
Step-by-step explanation:
To solve this question, we have to write two set of equations, each giving details of account of the two parties involved.
Let x represent games
Let y represent rides
So, with Arianna,
6x + 2y = 21.50.......equation (i)
With Alexa,
10x + 7y = 53.25 ........equation(ii)
We can solve this equations and go ahead to find the cost of ride and game using simultaneous equation
From equation (i)
6x + 2y = 21.50
Make x the subject of formula,
6x = 21.50 - 2y
x = (21.50 - 2y) / 6 ......equation (iii)
Put equation (iii) into equation (ii)
10x + 7y = 53.25
10 [(21.50 - 2y) / 6] + 7y = 53.25
(215 - 20y) / 6 + 7y = 53.25
(215 - 20y + 42y) / 6 = 53.25
215 + 22y = 53.25 × 6
215 + 22y = 319.5
22y = 319.5 - 215
22y = 104.5
y = 4.75
Put y = 4.75 in either equation (i) or (ii) to find x.
From equation (i)
6x + 2y = 21.50
6x + 2(4.75) = 21.50
6x + 9.5 = 21.50
6x = 21.50 - 9.5
6x = 12
X = 12 / 6
X = 2
Therefore the cost of 1 game is $2 and 1 ride is $4.75
The system of equations are, [tex]6x+2y=21.5[/tex] and [tex]10x+7y=53.25[/tex]
where cost of each game is x dollar and cost of each ride is y dollar.
Let us consider that cost of each game is x dollar and cost of each ride is y dollar.
Since, Arianna played 6 games and went on 2 rides and spent a total of $21.50.
[tex]6x+2y=21.5[/tex]
and Alexa played 10 games and went on 7 rides and spent a total of $53.25.
[tex]10x+7y=53.25[/tex]
Hence, the system of equations are, [tex]6x+2y=21.5[/tex] and [tex]10x+7y=53.25[/tex]
Learn more:
https://brainly.com/question/12526075
PLEASE HELP (picture attached) explain if you can but if not that’s ok:)
Answer:x=2
Step-by-step explanation:
X=-b/2a
b=-4 a=1 in front of x
X=- - -4/2
X=4/2=2
If a car travels at a rate of 74 miles per hour , then how long will it take the car to travel 481 miles
Answer:
6 hours and 30 min
Step-by-step explanation:
Take the miles and divide by mph then you get the time
Please this is the question sorry didn’t upload last time.
Help very important
i think number 4. is. a, d, r
What is the initial value of the sequence?
The points shown on the graph represent the numbers in a
geometric sequence.
1
2
3
8
Answer:
B) 2
Step-by-step explanation:
the initial value would be the first point and on this graph that first point is (1,2). and you should look at the x-value meaning your answer is 2
Answer:
It's 2
Step-by-step explanation: hope it helps ^w^
Giving away brainliest. Basic question. :)
Answer:
The area for both shapes = 4
Step-by-step explanation:
Area of triangle 1/2hb
Area of square s^2
triangle: 1/2 *4*2= 4
square: 2^2 =4
rosa pays a monthly membership fee at a gym. She also pays $5 for each cycling class she takes. in May, she took 4 cycling classes and her total cost for the month was $55. in June, Rosas total cost was equal to twice the membership fee. How many cycling classes did she take?
Answer:
14 classes
Step-by-step explanation:
if she pays $5 per cycling class than in May she payed $20. $55 - $20 = 35. If in June the cost was double the membership fee than 35 x 2 = 70. Than you do 70 / 5 = 14.
Currently, I am 9 times as old as my son. Next year, I will be 7 times as old as my son. How old is my son now?
Answer:
3
Step-by-step explanation:
3x9=27
4x7=28
Your son is 3 years old now
Step-by-step explanation:
If you do 9 times 3, you would get 27, and when you do 4 times 7, you would get 28. So, it makes sense since you get 1 year older and you are 9 times as old and then you will be 7 times as old. So, right now, your son is 3 years old.
60 points
What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1? The slope is –10, and the y-intercept is –1. The slope is –10, and the y-intercept is 1. The slope is –1, and the y-intercept is –10. The slope is 1, and the y-intercept is –10.
Answer:
2. the slope is -10 and y-intercept is 1
Step-by-step explanation:
hope this helps!
Answer:
B. The slope is –10, and the y-intercept is 1.
Step-by-step explanation:
Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:
- m: this is the slope value
- b: this is the y-intercept
Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.
Thus, the answer is B.
What is the solution to the equation x + 4.7 = 6.3?
a. x = 11.0
b. x = 6.3
c. x = 2.4
d. x = 1.6
The value of X is 1.6
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 1.6[/tex]
Step-by-step explanation:
[tex]x + 4.7 = 6.3 \\ x = 6.3 - 4.7 \\ x = 1.6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I just need to know the answer and really quick!
Answer:
if it's for the first one this is the answer I think not 100%sure
y=12x+36
Step-by-step explanation:
Solve 20x= 10 for x
x= 1/2
x= 1.5
x= 2
x= 10
Start by isolating the x term which is 20x by dividing both sides by 20.
That leaves you with x = 10/20 which can be reduced to x = 1/2.
Which of the following should be considered in buying a computer?
How much memory you need.
What software is needed.
Whether graphics or word processing are more important.
What operating system to buy
Answer:
All of the following should be considered when buying a computer.
Factor the algebraic expression 21a + 9
Answer:
21a + 9
Simplifying
21a + 9
Reorder the terms:
9 + 21a
Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 7a)
Final result:
3(3 + 7a)
HOPE THIS HELP
Answer:
[tex]3(7a+3)[/tex]
Step-by-step explanation:
Find the interest on a loan of $2500 that is borrowed at 9% for 18 months.
Answer:
$338.50
Step-by-step explanation:
Simple interest would be i = ($2500)(0.09)(1.5 yrs) = $338.50
HELP ASP !!! PLS
What is the value of x?
Enter your answer in the box.
Answer:
127 degrees
Step-by-step explanation:
Sum of interior angle is 720 degrees so to find x, just use 720 minus all the other angles