Answer:
y=2x-8
Step-by-step explanation:
Every hour, temperatures INCREASE by two degrees, so 2x.
At the beginning (x=0), the temperature was -8 degrees, so -8.
So temperature as a function of time is y=2x-8
Answer:
y = 2x-8
Step-by-step explanation:
At the beginning = -8 F
Let y be the temperature and x be the no. of hours
So, the equation becomes
=> y = -8 + 2x
Writing it in proper form
=> y = 2x-8
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
x= -25 or x = 10
x = -25, x = 1, or x = 10
x = -10 or x = 5
x = -10, x=-5, or x = 5
Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
==================
f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
Answer:
yes its true
Step-by-step explanation:
just took the test
Express each percent as a decimal:
7 1/2%
Answer:
0.075
Step-by-step explanation:
To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.
For the quadratic equation 3x^2−7x+4=0, enter the correct values of a, b, and c.
Answer:
since 3x^2-7x+4=0 is in the form ax^2+bx+c=0, a=3, b=-7, c=4
AYUDAAA... ES PARA HOY
Answer: A para B
Step-by-step explanation: Me no a little espanol, y i think A par B, gracias hasta luego, mucho gusto!!
A circle with radius of 2 cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region?round your final answer to the nearest hundredth
Answer:
64.44cm^2
Step-by-step explanation:
11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2
7. The Quotient
The quotient of a number divided by five is the same as the number decreased by 400.
Answer:
The number is 500Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as
[tex] \frac{x}{5} [/tex]
the number decreased by 400 is written as
x - 400
Equate the two expressions
We have
[tex] \frac{x}{5} = x - 400[/tex]
Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
Answer:
20
Step-by-step explanation:
they are asking you what divided by 100 is 5 and the answer is 20.
fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__
Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
Helpppp me answer this please
Answer:
D is the right ans
Step-by-step explanation:
if i write step by step it will take a long time so quick
Answer:
D.
Step-by-step explanation:
Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: [tex]x^2-8x-9[/tex]. We can factor this.
[tex]x^2-8x-9=(x-9)(x+1)[/tex]
(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).
Now, let's simplify the denominator. The denominator is:
[tex]5x^2-45x=5x(x-9)[/tex]
Thus, all together we will have:
[tex]\frac{(x-9)(x+1)}{5x(x-9)}[/tex]
We can cancel the (x-9) term. Thus:
[tex]=\frac{x+1}{5x}[/tex]
If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k? (3 points) k 12 k ≤ 12 k ≥ 12
Answer:
k≥12
Step-by-step explanation:
If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.
I hoped that helped!
:)
Answer:
c
Step-by-step explanation:
it says above
FREE
EE
Help ASAP Wich graph represents the compound inequality?
n<-2 or n 4
-5 -4 -3 -2 -1 0 1
2
3 4 5
>
A+++
-5 4 -3 -2 -1 0 1
2
34
5
5 4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1 2
3
4 5
Answer:
Option (3)
Step-by-step explanation:
Inequality n < -2 will be represented on a number line as,
A ray starting form -2 with a hollow circle directing towards -5.
Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.
By combining these inequalities on a number line we get Option (3) as a correct option.
Recall the equation that modeled the volume of the raised flower bed, y, in terms of the width of the box, y = x3 + 11x2 − 312x. Now, open the graphing tool and graph the equation. Remember, this equation represents the volume of a flower box, so neither the width nor the volume can be negative. Using the pointer, determine the x-intercept where the width is positive and the volume will change to positive as x increases.
Answer:
From the attached graph, the x-intercept is (13, 0)
Step-by-step explanation:
The question equation is y = x³ + 11·x² - 312·x
To graph the equation, we find the value of y for a given value of x and we plot the values on a graph as follows;
x, y
13, 0
14, 532
15, 1170
16, 1920
17, 2788
18, 3780
19, 4902
20, 6160
21, 7560
22, 9108
23, 10810
24, 12672
25, 14700
From the graph, the x-intercept can be found at at x = 13.
The x-intercept can also be obtained by equating the right hand side of the equation to 0 (y = 0 is the x -intercept) as follows;
0 = x³ + 11·x² - 312·x
Therefore, x = 0 is one of the x-intercepts
By dividing by x, we have
x² + 11·x - 312 = 0
By completing the square we have
x² + 11·x + (11/2)² = 312+(11/2)²
(x + 11/2)² = 1369/4
x + 11/2 = ±37/2
x = 37/2 - 11/2 = 13 or x = -37/2 - 11/2 = -24
Which gives the x-intercept as (13, 0).
Please help me solve this question with working steps,thanks!!
Answer:
x = 20%
Step-by-step explanation:
The area is the product of side lengths. If the original side is "a", then the one increased by 25% is ...
a + 0.25·a = 1.25a
The one decreased by x is ...
a -x·a = a(1 -x)
We want the area of the square to be the same as that of the rectangle, so we write an equation that says that, then solve for x.
square area = rectangle area
a^2 = (1.25a)(a)(1-x)
1 = 1.25 -1.25x . . . . divide by a^2, eliminate parentheses
1.25x = 0.25 . . . . . add 1.25x -1
x = 0.25/1.25 = 0.20
x = 20% . . . . . . expressed as a percentage
Please answer this question with how do work it out?
Answer:
Point B coordinates' are: (3.2, 1.6)
Step-by-step explanation:
Since this is a rhomboid the diagonals AC and OB, must be perpendicular to each other. Then we can find first the equation of the line where segment AC lies, seeing that this line will cross the y axis at the point (0,4), and the x axis at the point (2, 0). The line can then be obtained by calculating the slope of the segment that joins the two points, and then using that the line's y-intercept must be at the point (0, 4):
[tex]slope=\frac{0-4}{2-0} =-2[/tex]
then the equation of the line for segment AC must be:
[tex]y=-2x+4[/tex]
Next, we calculate the equation of a perpendicular line to the previous one, and that passes through the point (0, 0) to determine the equation of the line that contains the segment OB. Recall that the perpendicular line to one of slope m must have a slope given by: -1/m (the opposite of the reciprocal of "m". Then this new perpendicular line passing through (0, 0) must be given by:
[tex]y=\frac{1}{2} x+0\\y=\frac{1}{2} x[/tex]
Now we can find the point at which both lines intersect:
[tex]\frac{1}{2} x=-2x+4\\\frac{1}{2} x+2x=4\\\frac{5}{2} x = 4\\x=\frac{8}{5}[/tex]
and therefore the y value of the intersection point can be calculated via:
[tex]y=\frac{1}{2} x\\y=\frac{1}{2} (\frac{8}{5} )\\y=\frac{4}{5}[/tex]
Then, point point B must be located at an x value that doubles the x value of the intersecting point, and similarly the y value of point B must be at the double of the value of the intersection point we just calculated. That is:
Point B = [tex](2\,*\frac{8}{5} ,\,2\,*\frac{4}{5} )=(\frac{16}{5} ,\frac{8}{5}) =(3.2,1.6)[/tex]
We can see the coordinates of point B and the lines we just generated in the attached image.
PLEASE HELP ME! I NEED ANSWERS FAST! WILL MARK THE BRAINLIEST!
Answer:
d
Step-by-step explanation:
The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).
Answer:
D
Step-by-step explanation:
PLEASE HELP QUICK!!!Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?
Answer:
I think its D?
Hope this helped!
If Radhika adds these two numbers and represents the sum on an abacus, and if the beads on the ten's place are 2 and the beads on the one's place are 5, how many beads will be there on the hundreds place?
Answer:
Explained below.
Step-by-step explanation:
A standard abacus is a traditional method used to perform basic mathematical calculations, such as addition, subtraction, multiplication and division.
There are 5 rods on a standard abacus.
The shape of the abacus has a series of vertical rods on which a number of beads are placed.
Each bead on a particular rod is considered as 1 unit, i.e. if there are three beads on a rod, the value of that rod is 3.
The last rod on an abacus is for the unit's place, the second last rod is for the ten's place, the third last rod is for the hundredth's place, the fourth last rod is for the thousandth's place and the fifth rod is for the ten thousandth's place.
please find x pleaseeeee
Answer:
x = 74°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of its intercepted arc, that is
x = [tex]\frac{1}{2}[/tex] × 148° = 74°
PLEASE HELP ME IM BEGGING IM REALLY STRUGGLING
Answer:
I hope it will help you.....
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Which table can be created using the equation below? –2 + 4x = y A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 22, negative 2, 10. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 22, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 18, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3.
The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.
Explanation:
The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.
x y
5 -18
0 -2
3 10
First row:
-2 + 4 (5) = y (5 is the value of x which is first multyply by 4)
-2 + 20 = -18 (value of y in the table)
Second row:
-2 + 4 (0) y
-2 + 0 = -2
Third row:
-2 + 4 (3) = y
-2 + 12 = 10
Answer:
it is c
Step-by-step explanation:
Please Help I will mark brainliest
Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answer:
y = x-4
Step-by-step explanation:
The first thing we need here is to find the slope m of the line passing through the two points.
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)
Thus; m = (1-(-4))/(5-0) = 5/5 =0
The standard form of the equation is;
y = mx + c
where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;
y = x + c
To get c, what we need to do is to use any of the points and substitute the values of x and y to get c
Let’s use (5,1)
1 = 5 + c
c = 1-5
c = -4
So the line would be
y = x -4
Help I’ll give you 30 points
Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
Answer:
QR = 6.8
XZ = 16.25
Step-by-step explanation:
We can use ratios to solve since the triangles are similar
7.2 QR
------- = ------------
18 17
Using cross products
7.2 *17 = QR*18
Divide by 18
7.2 *17/18 = QR*18/18
QR = 6.8
7.2 6.5
------- = ------------
18 XZ
Using cross products
7.2 XZ = 6.5*18
Divide by 7.2
7.2 XZ = 6.5*18/7.2
XZ = 16.25
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
Answer:
1. (7/8) 2. (4/5)
Step-by-step explanation:
https://brainly.com/question/15513807 (1st question)
A torch and a battery cost 2.50 altogether. The torch costs 1.50 more than the battery.
Torch (t) = b+1.50
Torch (t) + Battery (b) = 2.50
t+b=2.50
b+1.50+b=2.50
2b=1
b=.5
Battery costs .50 and torch costs 1.50 more = 2.00
Battery = .50
Torch = 2.00
.50 + 2.00 = 2.50 = true
Total price is 2.50- torch price is 2
200/250- divide both by 50=
200/50 / 250/ 50=
4/5
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans
Step-by-step explanation:
i promise i will mark as brainiest
Multiply (4x² + 3y) by (3x² - 4y) and verify the result for x = 1, y = 2
Step-by-step explanation:
(4x² + 3y) by (3x² - 4y)
(4(1)² + 3(2)) by (3(1)² - 4(2))
(4 + 6) and (3 - 8)
10 x (-5) = -50 or 50 if negatives aren't an option
Answer:
22
Step-by-step explanation:
(4×1²+3×2) × (3×1²-4×2)
(16+6)×(9-8)
22×1=22
Please Help I will give out brainliest
Answer:
x = 0.5
graph is shown in image
Step-by-step explanation:
A shop sells CDs. The pictogram shows information about the CDs sold.
Key: 0 represents 20 CDs
Pop
Jazz
Classical Od
Rock
a)
Which type of CD was the mode?
b)
How many more Rock CDs than Classical CDs were sold?
c)
How many CDs were sold altogether?
Answer:
a) Pop
b) 30
c) 230
Step-by-step explanation:
Please help me. I really appreciate it if you answered. Thank you! <3
Mr. Brownwood invests a certain amount of money at 9% interest and $1,800 more than that amount in another account at 11% interest. At the end of one year, he earned a total of $818 in interest. How much money was invested in each account?
$3,500 at 9%;
$4,300 at 11%
$3,100 at 9%;
$4,900 at 11%
$3,400 at 9%;
$3,200 at 11%
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Which point is not a solution to the system of inequalities?
Thank you:)))
Answer:
(4, -1) is not a solution to the system
Step-by-step explanation:
The first point: (4,-1) doesn't satisfy the first inequality:
[tex]y>x-5\\(-1) > 4-5\\-1>-1[/tex]
since we get to an absurd, because -1 cannot be strictly smaller than -1!
the nth term of a sequence is 3n + 5 write down the 5th and 6th terms of the sequencce
Answer:
the nth term of the sequence is 3n+5.
now, 5th term=5×3+5=20
6th term = 6×3+5=23
is your answer...