[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]
A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.
Answer:
45+x = 71
26 players were added
Step-by-step explanation:
We start with 45 players
We ended with 71 players
We added x players
45+x = 71
Subtract 45 from each side
45+x-45 = 71-45
x =26
We added 26 players
ATQ
[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]
[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]
[tex]\\ \sf{:}\dashrightarrow x=26[/tex]
Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M
The equation Q = 2 x M represents the relationship between question and time.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Zack takes a test, in which he answers at rate of 2 question per minute.
Also, Q represents questions
And M represents minutes.
According to given condition,
In 1 minute, Zack answers 2 question,
In M minutes, Zack answers 2 x M question,
Total questions presented by Q,
Q = 2 x M.
The required relationship for M and Q is Q = 2 x M.
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order of operations : simplify completely (6-2X2)X3
Answer:
6 is the answer.
Step-by-step explanation:
Using PEMDAS, let's solve.
(6 - 2 x 2) x 3(6 - 4) x 32 x 36Therefore, 6 is the answer.
Hoped this helped.
Question is in image
Which best explains if qudrillateral WXYZ can be a parallelogram?
Answer:
A
Step-by-step explanation:
If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...
15 = x +8 ⇒ x = 7 . . . . long sides equal length
and ...
x +2 = 2x -5 . . . . . short sides equal length
7 = x . . . . . . . . . . add 5-x
The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.
Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
What is the ratio of 1/2 to 6?
(A) 12
(B) 3
(C)1/3
(D)1/6
(E) 1/12
Answer:
e, 1/12
Step-by-step explanation:
1) turn the first fraction into a whole number, the closest whole number being 1.
what did you multiply 1/2 by to get 1? the answer would be 2.
whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.
therefore, the answer is 1/12
Help with this polynomial problem.
Answer:
i cannt see it
Step-by-step explanation:
Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP
Answer:
C
Step-by-step explanation:
i need a points point muna
What is 7823× 10 to the 3 power?
Answer:
7823000
Step-by-step explanation:
Answer:
0 is the answer
7893 x 10 equal to 789300
4,6,9,...
Find the 8th term.
Find the 8th term.
Answer:
4, 6, 9, 12, 15, 18, 21, 24.
Step-by-step explanation:
The 8th term is 24.
just +2 (add 2) every time.
Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?
Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- [tex]x^2-2x+y^2-4y-4=0[/tex]
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
[tex]x^2-2x+y^2-4y-4=0[/tex]
[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]
[tex](x-1)^2+(y-2)^2 = 3^2[/tex]
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
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A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
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Help help help help help help help math
Answer:
Angle 6
Step-by-step explanation:
They are both the same angle size
Answer:
Angle 1
Step-by-step explanation:
Refer to the attached picture
plz helppppppppppopppppp
If the nth term of an AP is (7-4n) then its common difference is
Given nth term of an AP = 7-4n
Put n = 1 then t1 = 7-4(1) = 7-4 = 3
Put n = 2 then t2 =7-4(2) = 7-8 = -1
Common difference = t2-t1 = -1-3 = -4
Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answer:
its a.
Step-by-step explanation:
if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?
Answer:
24 bags = 21 kg
1.142 bag = 1 kg
About 139 bags = 122 kg
You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.
Your final answer: 139 bags
I hope this helped!
16/48 times 6/8 solve it out for me please
Answer:
0.25
Step-by-step explanation:
You, can just use a calculator But Np
Good luck
Answer: 1/4
Step-by-step explanation:
16 6 96
_ X _ = _ = simplies down to 1/4
48 8 384
How many sixes are equal to double 27?
Answer:
its not sixes theres 4 sixes equal 24 so there is no answer
Step-by-step explanation:
can i have brainliest pls
Answer:
9
Step-by-step explanation:
Double 27 is 54. 6 times 9 is 54
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
1/3x+80=1/2x+120 what’s the answer??
Answer:
−240
1/3x+80=1/2x+120
If16 = x/20, then x=
Answer:
320
Step-by-step explanation:
16 × 20 = 320
To double check it, we insert 320 into the equation:
320 ÷ 20 = 16
8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+
Answer:
a) -x2 , -(x2)
b)3x-7 , (3x) - 7
c) -2x+8 , -(2x-8)
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]
Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side
[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]
Now, we can plug in our value for x into the given equation
[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]
Open the parentheses
[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]
Merge Y values
[tex]6.8+10.8y=23[/tex]
Separate numerical values from variables
[tex]10.8y=16.2[/tex]
Divide by 10.8 in order to have a coefficient of 1
[tex]y=1.5[/tex]
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
[tex]5x+3(1.5)=17[/tex]
Open parentheses
[tex]5x+4.5=17[/tex]
Single out the variable
[tex]5x=12.5[/tex]
Divide by 5 to have a coefficient of 1 before x
[tex]x=2.5[/tex]
[tex]y=1.5[/tex]
rico wants to buy a battery operated toy car which caused 580 7.50 he has already save one 50.00 points his ninong give him 200 point zero zero if he saved 12.50 a day from his allowance how long will it take him to save the rest of money to buy the toy car
Answer:
19 days
Step-by-step explanation:
1 - Make an equation with the variables provided.
150 + 200 + 12.50x = 587.50
2 - Simplify both sides.
350 + 12.50x = 587.50
3 - Subtract 350 from both sides.
12.50x = 237.50
4 - Divide by 12.50 to find your x variable.
x = 19 days
Brainliest would be appreaciated! :-)
Help help help math math
Answer:
Yes, it is a function
Step-by-step explanation:
A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function
8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9
2 x 10 *-9
2 x 10-*_•-3
Answer:
[tex]\huge\boxed{2\times10^3}[/tex]
Step-by-step explanation:
[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]
Used:
[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]
someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
Please help me! No links, cheaters, or rude comments please!
Answer:
hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose
Step-by-step explanation:
Answer:
a and d is correct I did the test and got 100 .
PLEASE HELP!!
I got about half way through the problem but I ddont know hiw to solve the rest :\
solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]
Answer:
The answer is x = 1
Hope this helps! :)
(sqrt) x + 3 = x + 1
x + 3 = x^2 + 2x + 1
x + 3 - x^2 - 2x - 1 = 0
-x + 2 - x^2 = 0
x^2 + x - 2 = 0
(x - 1) (x + 2) = 0
x = 1, -2
^^no negatives/canceled
x = 1