Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
If the last line in your solution is x = 0, how many solutions are there? A) One Solution B) Two Solutions C) No Solutions D) Infinitely many solutions
Answer:
There is one solution.
Step-by-step explanation:
x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.
What value of n makes the equation?
8n - 5 = -2n + 5 true?
Answer:
[tex]n=1[/tex]
Step-by-step explanation:
[tex]8n - 5 = -2n + 5[/tex]
First, add 5 to both sides.
[tex]8n-5+5=-2n+5+5\\[/tex]
[tex]8n=-2n+10[/tex]
Then, add 2n to both sides.
[tex]8n+2n=-2n+10+2n[/tex]
[tex]10n=10[/tex]
Finally, divide both sides by 10.
[tex]\frac{10n}{10}=\frac{10}{10}[/tex]
[tex]n=1[/tex].
Answer:
[tex]n=1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]8n-5=-2n+5[/tex]
First, add 2n to both sides. The right side cancels:
[tex]10n-5=5[/tex]
Add 5 to both sides:
[tex]10n=10[/tex]
Now, divide both sides by 7:
[tex]n=1[/tex]
And we're done!
Choose the best definition for the term: factor (1 point)
Find the value of 3x+6 given that -2x-8= 8
Simplify your answer as much as possible.
3x + 6 =
please help me im literally so desperate I'm already failing math so please help me!!!
Jalen bought 24 juice packs for $7.20. Tia bought 6 juice packs for $2.70. Which
statement describes the difference in the unit prices of Jalen's and Tia's juice pack
Answer:
0.15
Step-by-step explanation:
Which rule would indicate a transformation that is a rotation? *
1 point
A.(x, y) becomes (-x, -y)
B. (x, y) becomes (-x, y)
C. (x, y) becomes (x, -y)
D.(x, y) becomes (y, x)
How do you write the converse of a conditional? How do you Write the contrapositive of a conditional?
Answer:
Converse- If q, then p. Contrapositive- If not p, then not q
Step-by-step explanation:
Let's say your conditional is if an angle is 90 degrees then it is a right angle.
Then the converse is, if an angle is a right angle then it is 90 degrees.
Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.
Brad and Stella volunteer to help at the party. Brad volunteers at the prize table and Stella
volunteers at the refreshment table. Both workstations allow volunteers a short break, but at
different intervals. The prize table allows volunteers a short break every 20 minutes, but the
refreshment table allows a short break only every 30 minutes. If the party is scheduled to start
at 2:00 pm and Brad and Stella both start working then, what is the first time that they will be
on break together? Show all work.
Answer:
They will be able to have their break together in 60 minutes.
Step-by-step explanation:
You will have to find the least common multiple (LCM) between 20 and 30.
The prime factorization of 20 is: 2 x 2 x 5
The prime factorization of 30 is: 2 x 3 x 5
Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 60
Use two colors of counters to show a way to make 5.color to show the counters . Write the numbers to show the pair that makes 5
Answer:
1 and 4, 2 and 3, and 5 and 0.
Step-by-step explanation:
Counters are used by educators to teach children how to do calculations like addition, subtraction, multiplication and division. Using color counters help to visualise the result from the operands in a calculation.
To get the pairs of numbers that adds to 5.
- Use the first color counter to mark out the five ones on the sheet.
- then with the second color counter, subtract one from the five ones.
- repeat the first two steps and increment the subtracted value until it gets to five.
(4.5+3 5/6 )·0.6 HELP ME PLEASE
Answer:
5
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
5x – 2= 8
Please help me
Answer:
x = 2 because 5 times 2 = 10 and 10 - 2 = 8
Step-by-step explanation:
48 = 4x – 2 + 6x
Need help ASAP
Answer:
x= 5
Step-by-step explanation:
48 = 4x – 2 + 6x
Combine like terms
48 = 10x-2
Add 2 to each side
48+2 = 10x-2+2
50 = 10x
Divide by 10
50/10 = 10x/10
5 =x
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{48 = 4x - 2 + 6x}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{48 = 10x - 2}}[/tex]
Swap the sides of the equation
[tex] \longrightarrow{ \sf{10x - 2 = 48}}[/tex]
Move 2 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{10x = 48 + 2}}[/tex]
Add the numbers: 48 and 2
[tex] \longrightarrow {\sf{10x = 50 }}[/tex]
Divide both sides by 10
[tex] \longrightarrow{ \sf{ \frac{10x}{10} = \frac{50}{10}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 5}}[/tex]
Hope I helped!
Best regards! :D
Find the midpoint of the line segment with endpoints C (2, -3) and D (6,11).
Which is the product of 4^4(4^-7)(4)?
Answer:
1/16 or 0.0625
Step-by-step explanation:
we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.
Answer:
0.0625
Step-by-step explanation:
[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)
First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)
256 ( [tex]4^{-7}[/tex] ) (4 )
Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.
256 ( [tex]\frac{1}{16384}[/tex]) (4)
256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625
HOPE THIS HELPED
please simplify equations
Answer:
24 =w
Step-by-step explanation:
1000 ^8 = 10 ^w
Rewriting 1000 as 10 ^3
10^3 ^8 = 10 ^w
We know a^b^c = a ^(b*c)
10 ^24 = 10^w
24 =w
What is 23569 rounded to the nearest ten thousand and thousand?
f(x) = 3x + 12x - 5
Answer:
Step-by-step explanation:
Hey There!! ~ (。^▽^)
The answer to this is: [tex](- 2, - 7)[/tex]
Explanation: [tex]3x^{2} + 12x 5[/tex]
[tex]y = 3( x + 2)^{2} - 7[/tex]
[tex]3( x + 2) ^{2} - 7[/tex]
[tex]a = 3[/tex]
[tex]h = 2 \ - 7[/tex]
[tex]k = - 7[/tex]
Hope It Helped!~
Good Luck With Your Assignment~
[tex]UsedLess[/tex]~ ✧
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen
Answer:
1/10
Step-by-step explanation:
First, find the probability of choosing the red pen:
There are 6 total pens and 3 are red, so the probability will be 3/6
This can be simplified to 1/2
Then, find the probability of choosing a blue pen after not replacing the red one:
There are 5 total pens now, since we did not replace the red one.
There is only 1 blue pen, so the probability is 1/5
Then, multiply these 2 probabilities together:
1/2(1/5)
= 1/10
So, the probability is 1/10
Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 5(x + 7)2(x - 7)3 (2 points)
Answer:
x=-7 has a multiplicity of 2 and x=7 has a multiplicity of 3
Step-by-step explanation:
HELP DUE LIKE RIGHT NOW
Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Bill placed a coordinate grid over a drawing of his back yard. Points A (-2, -3) and B (4, 9) represent two corners of his garden. He wants to place a water sprinkler (C) at the midpoint between A and B.
Answer:
(1;3)
Step-by-step explanation:
midpoint=(x1+x2;y1+y2)÷2
=(-2+4;-3+9)÷2
=(2;6)÷2
=(1;3)
Are 12/16 and 6/9 equivalent? Explain your answer.
Answer:
No
Step-by-step explanation:
Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.
Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.
Answer:
(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers
Step-by-step explanation:
(fg)(x) = f(x) x g(x)
= 16-x^2(4-x)
=64-16x-4x+x^3
(fg)(x) = x^3-4x^2-16x+64
Domain is all real numbers because you can substitute any real number for x and the function would still work.
Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.
The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.
The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain. The set of codomains is called a range.
Example : [tex]f(x) = 4x+ 3[/tex]
All those values of a set for which a function is defined are called a domain.
According to the question :
[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]
[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]
Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]
Learn more about function here :
https://brainly.com/question/30721594
# SPJ2
2^m•2^n would be the same as___.
[tex] {2}^{m + n} [/tex]
Step-by-step explanation:
[tex] \huge {2}^{m} . {2}^{n} = {2}^{m + n} [/tex]
Answer:
2^m•2^n would be the same as 4mn.
Step-by-step explanation:
solve 3 ^x/2 * 3^x/4= 3^6
Answer:
i think this is it
Step-by-step explanation:
Brainliest user, virtuoso, and 700+ points in three days? I think i'm pretty smart. Do you think so? Also, please solve for x, 2x-30+2 and explain.
Hey there!
[tex]Answer:\boxed{2x-28}[/tex]
[tex]Explanation:[/tex]
[tex]2x-30+2[/tex]
Let's start off by simplifying.
[tex]2x+-30+2[/tex]
Now let's combine like terms.
[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]
[tex]\boxed{2x-28}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
need help ASAP
pls show your work
will give 10 pts + brainliest
A laboratory experiment requires 1300ml of sugar. How many kg of sugar does the experiment require?
Answer:
1.3 kilograms
Step-by-step explanation:
Answer:
i agree
Step-by-step explanation:
Solve for x???????????
Answer:
[tex]x=3/2=1.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]49=7^{2x-1}[/tex]
Note that 49 is the same as 7 squared. Thus:
[tex](7)^2=(7)^{2x-1}[/tex]
Since they now have the same base, the exponents must be equal to each other. So:
[tex]2=2x-1[/tex]
Add 1 to both sides:
[tex]3=2x[/tex]
Divide both sides by 2:
[tex]x=3/2=1.5[/tex]
And we're done!
Simplify the following expression 3(4x+5)+2
Answer:
12x+17
Step-by-step explanation:
3(4x+5)+2
12x+15+2
12x+17
ANSWER:
12x+17=y
Step-by-step explanation:
12x+15+2
12x+17
I NEED HELP PLEASE !!!!!
Answer:
c= (f-d)/ab
Step-by-step explanation:
abc+d = fSubtract f from both sides so abc= f-dDivide by ab from both sides so c = (f-d)/ab