Note: this answer assumes that the equation of the line must be in slope-intercept form.
Answer:
[tex]y= -3x + 5[/tex]
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.
The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
[tex]y-(-1) = -3(x-(2))[/tex]
[tex]y+1 = -3(x-2)[/tex]
Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:
[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]
Therefore, [tex]y= -3x + 5[/tex] is the answer.
H+4.78=8.02 evaluate
Answer:
h=3.24
Step-by-step explanation:
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.
Answer:
14 minutes.
Step-by-step explanation:
To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:
2,150X = 30,100
X = 30,100 / 2,150
X = 14
Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.
Work out the area of the triangle.
Answer:
30
Step-by-step explanation:
1/2(12)(5)
Answer:
30
Step-by-step explanation:
The area of a triangle is 1/2 bh
b= base, in this case 12 cm
h= height, in this case 5 cm
so you multiply 5 times 12 and you get 60
You take that 60 and half it to get your answer of 30.
Ivy and Andrey were asked to find an explicit formula for the sequence -100,-50,0,50,...−100,−50,0,50,...minus, 100, comma, minus, 50, comma, 0, comma, 50, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis.
Ivy said the formula is f(n)=-100+50(n-1)f(n)=−100+50(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 100, plus, 50, left parenthesis, n, minus, 1, right parenthesis.
Andrey said the formula is f(n)=-150+50nf(n)=−150+50nf, left parenthesis, n, right parenthesis, equals, minus, 150, plus, 50, n.
Which one of them is right?
Answer:
both
Step-by-step explanation:
Jasper Diaz apostrophe Balance Sheet. Total assets are 15,800 dollars. Total liabilities are 4,400 dollars.
Consider Jasper’s balance sheet.
What is the total value of Jasper’s assets?
What is the total value of Jasper’s liabilities?
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
hope this helps :D
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1
Work out the three numbers that are in both sequences and also between 20 and 40
Answer:
The three numbers are 23, 29 and 35.
Step-by-step explanation:
Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.
To find: The three numbers that are in both sequences and also between 20 and 40.
Consider both the sequences.
Put n = 11 in the nth term 2n+1, we get 23.
So, the 11th term of first sequence is 23.
Now put n = 8 in the nth term 3n-1, we get 23.
So, the 8th term of the second sequence is 23.
Therefore, first number that is in both sequence and lies between 20 and 40 is 23.
Now put n = 14 in the nth term 2n+1, we get 29.
So, the 14th term of first sequence is 29.
Put n = 10 in the nth term 3n-1, we get 29.
So, the 10th term of the second sequence is 29.
Therefore, second number that is in both sequence and lies between 20 and 40 is 29.
If we put n = 17 in the nth term 2n+1, then we get 35.
That is, 17th term of first sequence is 35.
Now we put n = 12 in the nth term 3n-1, then we get 35.
That is, 12th term of second sequence is 35.
So, third number that is in both sequence and lies between 20 and 40 is 35.
Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.
To practice for an Ironman competition, John swam 0.86 kilometer each day for 3 weeks. How many meters did he swim in those 3 weeks?
Step-by-step explanation:
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Answer:
18,060
Step-by-step explanation:
0.86 kilometers is the same as 860 meters. If he swam 860 meters a day for twenty-one days, (860 times 21) he'd end up with 18,060 meters in total.
(That's about 722 1/2 lengths of a pool, but you didn't need to know that :P )
Find the value of each variable.
SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.
r/3+2=21 solve for r
Answer:
r=63
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/3-(21)=0 r
Simplify —
3
r
— - 21 = 0
3 2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
21 21 • 3
21 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Please help! Offering 60 points to the first correct answer.
The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of Account B?
Month 0; Account A $50; Account B $450
Month 1; Account A $85; Account B $465
Month 2; Account A $120; Account B $480
Answer:
funny
Step-by-step explanation:
Answer: month 7
Step-by-step explanation:
My sis did it
PLEASE NEED HELP aS FASt
Answer:
The second choice
Step-by-step explanation:
The second choice is correct because:
1.5*4=6
HELP ASAP! Brainliest for correct answer!
Answer:
30
i hope it helps
Can someone help? I don't understand the equasion
Answer:
a = 1/6
Step-by-step explanation:
To solve, divide both sides by 5 1/4
a = 7/8 / (5 1/4)
a = (7/8) / (21/4)
a= 7/8 * 4/21
a= 28/168
a= 1/6
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
what is $7.50 with a added 6% sales price.
Answer:
0.0125 dollars per sales
hope this helps
Step-by-step explanation:
Answer:
7.89 i believe i looked it up
Enter 72% as a fraction in the simplest form
Answer:
18/25
Step-by-step explanation:
72% = 72/100
72/100 simplified
=18/25
When Max got home from school yesterday, he went into the kitchen to get a snack. There was 3/4 pan of brownies on the counter. Max ate 1/4 of what was left. What part of the pan of brownies did Mark eat?
Answer:
1/2
Step-by-step explanation:
3/4-1/4=1/2
Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
PLZZ HELP !! Select the correct answer. What are the zeros of the function y= (x-4)(x^2 - 12x+36)
A. -6,4 and 6
B. 4 and 6
C. -6 and -4
D. 0, 4, and 6
The zeroes of any function are where the function touches or passes through the x-axis.
To find these zeroes, we can factor, and set each part equal to 0.
y = (x - 4)(x^2 - 12x + 36)
It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.
y = (x - 4)(x - 6)(x - 6)
Finally, set each part equal to 0!
x - 4 = 0
x = 4
x - 6 = 0
x = 6
x - 6 = 0
x = 6
Therefore, the zeroes of the function are 4 and 6, option B.
Hope this helps!! :)
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answer5x - 10y=-20
5x + 3y = 6
Show work
Answer:
5x -10y= -20
5x + 3y = 6
-(5x + 3y=6)
5x-10y=-20
-5x-3y=-6
-10y -3y = -20 -6
-13y=-26
y= -26/-13
y=2
5x-10(2)=-20
5x-20=-20
5x=-20-20
5x=-40
x= -40/5
x= -8, and y= 2
Graph the line through(-5,-10), m=3
Answer:
below
Step-by-step explanation:
first put it in point-slope then slope intercept:
y+10=3(x+5)
y+10=3x+15
y=3x+5
now graph it
(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation:
( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope
[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]
Substitute the coordinate point value in the equation[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]
[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]
Answer[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]
Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax
Which store has the best deal?
Answer:
c
Step-by-step explanation:
someone else said c and i got it right
what are the coordinates of point h?
Answer:
(-1.5, 3) are the coordinates of point h