Answer:
[tex]y=2x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have equal slopes1) Determine the slope (m)
[tex]2x-y = 5[/tex]
To do so, we must organize the given equation into slope-intercept form to identify the value in place of m.
Subtract 2x from both sides (isolate y)
[tex]2x-y -2x= -2x +5\\-y= -2x +5[/tex]
Divide both sides by -1 (isolate y)
[tex]y= 2x -5[/tex]
Now, from this equation, we can tell that the number in the place of m in [tex]y=mx+b[/tex] is 2. Because parallel lines have equal slopes, the slope of the line we're currently solving for would also be 2. Plug this slope into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in the given point (-3,-4) and solve for b
[tex]-4=2(-3)+b\\-4=-6+b[/tex]
Add 6 to both sides to isolate b
[tex]-4+6=-6+b+6\\2=b[/tex]
Therefore, the y-intercept is 2. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x+2[/tex]
I hope this helps!
Resuelve el siguiente paralelo 27v r1 9r2 18 r37 r42
Find the area of the triangle.
21 in.
12 in.
9514 1404 393
Answer:
126 in²
Step-by-step explanation:
The area can be found using the formula ...
A = 1/2bh
where b is the base length of the triangle, and h is its height.
Using the numbers shown, we find the area to be ...
A = 1/2(12 in)(21 in) = 126 in²
Charlene paid $1540.77 (including sales tax) for a microscope. The sales tax in her state is 7%.
What was the price of the microscope before the sales tax was added?
Answer:
1,439.97
Step-by-step explanation:
Price x 1.07 = price including sales tax
price x 1.07=1540.77
price=1540.77/1.07
price= 1439.97
The price of the microscope before the sales tax was added when calculated is; $1439.97
How to solve algebra problems?
We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;
Price before sales tax × 1.07 = Price including sales tax
Thus, plugging in the relevant values;
Price before sales tax × 1.07 = 1540.77
Price before sales tax = 1540.77/1.07
Price before sales tax = $1439.97
Read more about Algebra Problems at; https://brainly.com/question/4344214
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SOMEONE HELP ME PLEASE
The XYZ Car Rental Agency charges a flat rate of $29 per day plus $0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.
Answer:
Total Cost = 29x + 0.32y
Step-by-step explanation:
It is 29x since you pay $29 per day, and x represents the number of days.
It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.
Using the order of operations, what should be done first to evaluate 62 +10-(-5) (3) -5?
O Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate
[tex] {6}^{2} [/tex]
Answer:
Step-by-step explanation:
Well there are 2 things you can do first.
You can multiply -5 * 3 (which is not a choice)
or you can evaluate 6^2 (which is given -- so this is what you can do first)
Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.
9514 1404 393
Answer:
40
Step-by-step explanation:
The "initial value" is the value when x=0.
[tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]
The initial value is 40.
Identify the variable expression that is not a
polynomial.
A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 52 baskets and 11 more 2-pointers than foul shots. How many shots of each kind were made?
Answer:
The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Step-by-step explanation:
Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:
19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112
9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97
7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94
Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.
Answer:
The minimum is 59/12
Step-by-step explanation:
you should calculate the -b/2a = -7/6
you should put -7/6 in the x variable
What is the solution to 2x^2+8x=x^2-16?
x=4
x=-2
х=2
х=4
Question: What is the solution to 2x^2+8x=x^2-16?
Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.
which will result in a perfect square trimonial
Answer:
No choices listed.
Step-by-step explanation:
Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.
Answer:
his salary is rs 6000 & his tax amount is rs 1500 :)
Answer:
6000,1500
Step-by-step explanation:
Let Gopi's salary be 'x'
He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4
He spent 1/3 of his salary on groceries = x/3
Getting his salary:-
x-x/3-x/4=2500
(12x-4x-3x)/12=2500
5x/12=2500
x=
(2500x12)/5
x=500x12=6000
Tax amount:-
6000x25/100=1500
Please help me I need to solve for x.
WILL MARK BRAINLIEST
Answer:
25.12 cm
Step-by-step explanation:
circumference= 2pi*r
3.14x8x2= 50.24
50.24/2= 25.12 cm
Or you could have just done 3.14 x8 which equals 25.12 as well
write the next steps
Answer:
Two steps:
a) 12345×8+5=98765
b)123456×8+6=987654
what is the answer to this question??
How to solve and answer to the question
Answer:
x = 29
Step-by-step explanation:
147 + 147 + 2x - 25 + 2x - 25 = 360
294 + 2x - 25 + 2x - 25 = 360
294 + 2(29) - 25 + 2(29) - 25 = 360
294 + 58 - 25 + 58 - 25 = 360
352 - 25 + 33 = 360
327 + 33 = 360
360 = 360
x = 29
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Percent increase ≈
%
Answer:
10
Step-by-step explanation:
answer to the question
Answer:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
✔️DC = AB (opposite sides of a parallelogram are equal)
Therefore,
DC = 29 (Substitution)
✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)
DE = ½(89)
DE = 44.5
Find all the roots of the given function on the given interval. Use pre-liminary analysis and graphing to find good initial approximations.
f(x) = cos (4x) - 4x2 + 9x
Answer:
The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.
Step-by-step explanation:
A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:
[tex]f(x) = g(x) - h(x)[/tex] (1)
If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:
[tex]g(x) = h(x)[/tex]
We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:
[tex]y = \cos 4x[/tex] (2)
[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)
Where roots are the points in which functions find each other.
With the help of a graphing, we estimate two solutions:
[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B: [tex]y=-5x-6[/tex]
»»————- ★ ————-««
Here’s why:
Recall that the slope intercept form of a equation for a line is:⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]
⸻⸻⸻⸻
We are given the information of:
The slope, which is -5.The y-intercept, which is (0, -6).⸻⸻⸻⸻
[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]
⸻⸻⸻⸻
Option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the value of n in the equation below?
Power with the same base
Which of the sequences is an arithmetic sequence?
This is because we're adding -6 to each term, i.e. subtracting 6 from each term, to get the next term
-2+(-6) = -8-8+(-6) = -14-14+(-6) = -20-20+(-6) = -26and so on. The gap between adjacent terms is the same width. We say that the common difference is d = -6.
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
Which points are on the graph of the function rule f(x) = 10 - 4x
Find solution for 2(3^x)=5
Answer:
Step-by-step explanation:
i don’t know
The Sugar Sweet Company is going to transport its sugar to market. It will cost 4500 to rent trucks, and it will cost an additional 255 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S Then use this equation to find the total cost to transport 16 tons of sugar.
Answer:
C(s) = total cost function
$5,500 base price to rent trucks
$250 per ton of sugar to be transported
Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks
C(s) = $250s + $5,500
For 14 tons of sugar the total cost would be:
C(s) = $250(14 tons) + $5,500
C(s) = $9,000
Total cost to transport 14 tons of sugar would cost $9,000
Convert 240. oz = lb
Answer:
15
Step-by-step explanation:
If you want to convert Oz to lb then divide by 16
240/16
15
Kevin and his elder brother Jason jog every morning. Kevin runs 1.5 miles per hour slower
than Jason. When Jason ran 5 miles, Kevin only ran 4.2 miles. Find their running speeds.
(Write an algebraic equation first, then solve.)
Answer:
Jason - 9.375 miles per hour
Kevin -7.875 miles per hour
Step-by-step explanation:
Let Jason’s running speed be x miles per hour
Kevin runs 1.5 miles per hour less;
so his running speed will be (x-1.5) miles per hour
At any point, distance = speed * time
Their running time is same here;
Jason’s running time will be 5/x
Kevin’s running time will be 4.2/(x-1.5)
These times are equal;
So;
5/x = 4.2/(x-1.5)
5(x-1.5) = 4.2x
5x - 7.5 = 4.2x
5x-4.2x = 7.5
0.8x = 7.5
x = 7.5/0.8
x = 9.375 miles per hour
So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour
Rewrite log(8)-log(2) in form log(c)
Answer:
log(4).
Step-by-step explanation:
By the law of logarithms:
log(8) - log(2)
= log(8/2)
= log(4).