write the slope intercept form of the line given point (-2,3) and a slope of -1
Answers
Answer:
y = - x + 1
Step-by-step explanation:
b = 3 - (-1)(-2) = 3 - 2
b = 1
y = -x +1
Related Questions
Find the solution
3(x - 4)+ 2x =23
Answers
Answer:
the answer for that is :
x = 7
Answer:
x=7
Step-by-step explanation:
3(x-4)+2x=23
3x-12+2x=23
5x-12=23
23+12=35
35/5=7
What is the area of the shaded region?
Answers
I need step by step explanation i this question.
Answers
The ratio of football to total equipment is 3/ 7
What is ratio?Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.
It explains how many times one number contains another.
From the diagram shown, we have:
6 footballs2 handballs3 pairs of shoesRatio of football to total equipment is;
= 6/ 6 + 2 + 6
= 6/ 14
Find common divisor
= 3/ 7
Thus, the ratio of football to total equipment is 3/ 7
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ1
Pwease hewp me pwease shanks lob u
Answers
Answer:
a = 3
b = 12
c = 13
Step-by-step explanation:
\( \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}\)
Juan is a software salesman. His base salary is S2300, and he makes an additional $70 for every copy of English is Fun he sells.Let P represent his total pay (in dollars), and let N represent the number of coples of English is Fun he sells. Write an equation relating P to N. Then use thisequation to find his total pay if he sells 24 copies of English is Fun.Equation:xTotal pay if Juan sells 24 copies
Answers
A general linear equation is
\(y=mx+b\)where y is the dependent variable, m the slope or the change per unit, x the independent variable and b the fixed value
then we can identify each one
the dependent variable or the Outcome is P(total pay)
the change per unit is the price per each copy then (70$)
the independent variable is the number of copies N
the fixed values is the base salary 2300
then
\(P=70N+2300\)no to find the total pay to 24 copies we replace N=24
\(\begin{gathered} P=70(24)+2300 \\ P=3980 \end{gathered}\)total pay if Juan sells 24 copies is $3980
Solve the equation b/16 = -4 for b
-64
-4
4
64
Answers
Answer: -64
Step-by-step explanation:
To solve this equation, you need to isolate the b term on one side of the equation. You can do this by dividing both sides of the equation by 16. This will give you:
b/16 = (-4)
You can then divide both sides of the equation by -4 to get:
b/16 = -4
b/16 * -4 = -4 * -4
b = -64
Therefore, the solution to the equation is b = -64.
Please help almost done will give brainliest
x and y are related.
х
-2
-1
0
1
2
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Enter the answer that belongs in [?].
Answers
Answer:
-5
Step-by-step explanation:
y = -0.5x + [?]
The equation is put in slope intercept form
slope intercept form: y = mx + b
where m = slope and b = y intercept
We want to find the y intercept.
the y intercept is the value of y when x = 0
looking at the table when x = 0, y = -5 so the y intercept is -5.
In other words -5 belongs in [?]
Please look at the photo. Thank you!
Answers
g(x) = (x - 8)/7
1. Replace g(x) with y:
y = (x - 8)/7
2. Solve for x in terms of y:
7y = x - 8
x = 7y + 8
3. Replace x with g^-1(x):
g^-1(x) = 7x + 8
To find (g^-1 • g)(1):
1. Substitute x = 1 into g(x):
g(1) = (1 - 8)/7 = -7/7 = -1
2. Substitute -1 into g^-1(x):
g^-1(-1) = 7(-1) + 8 = 1
Therefore, (g^-1 • g)(1) = 1.
To find h^-1(5):
h = {(-9,-8),(-2,5),(4,0),(5,2)}
1. Look for the pair (5,2) in h.
2. Swap the x and y values to get the inverse pair:
h^-1(5) = (2,5)
Therefore, h^-1(5) = (2,5).
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
Answers
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
For more such questions on Expenses, click on:
https://brainly.com/question/30967676
#SPJ8
The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answers
Answer:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
Plz mark as Brainliest!
For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in the Graphing form. then, State Line of symmetry and give the vertex of each parabola. try to use the method at least one. \(a.f(x) = {x}^{2} + 6 x + 15\)\(b.y = {x}^{2} - 4x +9\)\(c.f(x) = {x}^{2} - 8x\)\(d.y = {x}^{2} + 7x - 2\)
Answers
We have the expressions:
\(f(x)=x^2+6x+15\)\(y=x^2-4x+9\)\(f(x)=x^2-8x\)\(y=x^2+7x-2\)Now, with this we operate as follows:
a)
\(f(x)=x^2+6x+15=x^2+6x+9+15-9\)\(\Rightarrow(x+3)^2+6\)Then, the axis is x = -3 and the vertex (-3, 6)
b)
\(y=x^2-4x+9=x^2-4x+4+9-4\)\(\Rightarrow(x-2)^2+5\)Then, the vertex is (2, 5) and the axis is x = 2.
c)
\(f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4\)Then, the vertex is (2, -4) andd the axis is x = 2.
d)
\(y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}\)\(\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}\)Then, the vertex is (-7/2, -57/4) and the axis is -7/2.
In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2
Answers
The period of the function is 4π, and the amplitude is 2.
Given data ,
Let the function be represented as f ( x ) = y
Now , the value of f ( x ) is
y = 2sin ( 1/2 )x
To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).
In this case, the amplitude (A) is 2.
The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.
To find the period, we can use the formula:
Period = (2π) / |B|.
B = 1/2.
Period = (2π) / |1/2|
P = (2π) / (1/2) = 2π * 2/1 = 4π
Hence , the period of the function is 4π, and the amplitude is 2.
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ1
A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 19 phones from the manufacturer had a mean range of 1160 feet with a standard deviation of 32 feet. A sample of 11 similar phones from its competitor had a mean range of 1130 feet with a standard deviation of 30 feet.
Required:
Do the results support the manufacturer's claim?
Answers
Complete question is;
A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 19 phones from the manufacturer had a mean range of 1160 feet with a standard deviation of 32 feet. A sample of 11 similar phones from its competitor had a mean range of 1130 feet with a standard deviation of 30 feet. Required:
Do the results support the manufacturer's claim?
Let μ1 be the true mean range of the manufacturer's cordless telephone and μ2 be the true mean range of the competitor's cordless telephone. Use a significance level of α = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed
Answer:
We will fail to reject the null hypothesis as there is no sufficient evidence to support the manufacturers claim.
Step-by-step explanation:
For the first sample, we have;
Mean; x'1 = 1160 ft
standard deviation; σ1 = 32 feet
Sample size; n1 = 19
For the second sample, we have;
Mean; x'2 = 1130 ft
Standard deviation; σ2 = 30 ft
Sample size; n2 = 11
The hypotheses are;
Null Hypothesis; H0; μ1 = μ2
Alternative hypothesis; Ha; μ1 > μ2
The test statistic formula for this is;
z = (x'1 - x'2)/√[(σ1)²/n1) + (σ2)²/n2)]
Plugging in the relevant values, we have;
z = (1160 - 1130)/√[(32)²/19) + (30)²/11)]
z = 2.58
From the z-table attached, we have a p-value = 0.99506
This p-value is more than the significance value of 0.01,thus,we will fail to reject the null hypothesis as there is no sufficient evidence to support the manufacturers claim.
The product of a number and negative six is thirty-six. Which of the following could represent this statement?
-6 n = 36
-6(36) = n
-6 n + 36
-6 = 36 n
Answers
The product of a number and negative six is thirty-six is mathematically represented as -6n = 36
What is product?The product is the result of the two number when we multiply them.
For example if we multiply 2 by 5we will get 10, or mathematically it can be expressed as 2x5 = 10, in this the product is 10.
Given that, The product of a number and negative six is thirty-six is to be expressed in mathematically form,
We can mathematically write it as,
-6×n = 26
-6n = 36
Hence, the correct expression for the statement given is -6n = 36
For more references on products, click;
https://brainly.com/question/22852400
#SPJ1
through: (-1,4), perpendicular to y = x
Answers
Answer:
y = -x + 3
Step-by-step explanation:
I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.
Use \large S_n=\frac{n}{2}\left(a_1+a_n\right) or \large S_n=\frac{n}{2}\left(2a_1+d\left(n-1\right)\right) to find the sum of the arithmetic series when,
\large a_1=35, \large a_n=105, and \large n=8
Sum =
Answers
Answer:
560
Step-by-step explanation:
Given Sum = n/2{a1+an}
Govn the following
a1= 35
an = 105
n =8
Substitute into the expression
Sn = n/2(35+105)
Sn = n/2(140)
Sn = 70n
Sn = 70(8)
Sn = 560
Hence the sum of the AP is 560
can you solve this pls 5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x
show step by step pls
Answers
Answer: x= -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−4)+3x−9x=6−(2x+5)+8x
(5)(x)+(5)(−4)+3x+−9x=6+−2x+−5+8x(Distribute)
5x+−20+3x+−9x=6+−2x+−5+8x
(5x+3x+−9x)+(−20)=(−2x+8x)+(6+−5)(Combine Like Terms)
−x+−20=6x+1
−x−20=6x+1
Step 2: Subtract 6x from both sides.
−x−20−6x=6x+1−6x
−7x−20=1
Step 3: Add 20 to both sides.
−7x−20+20=1+20
−7x=21
Step 4: Divide both sides by -7.
−7x
−7
=
21
−7
x=−3
A drain must be installed with a grade of 1/10 in. of vertical drop per foot of horizontal run. How much of a drop will there be for 58 ft of run?
No Links please
Answers
Answer:
Step-by-step explanation:
58 ft (1/10 inch/ft) = 5.8 inch
three less than the sum of x and y
Answers
Answer:
X+Y-3
Step-by-step explanation:
I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y
Need help on finding g .
Answers
The numeric values for this problem are given as follows:
g(-1) = -2.g(2) = 0.g(3) = 0.5.How to obtain the numeric values of the function?The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.
For x between -2 and 2, the function is defined as follows:
g(x) = -(x - 1)² + 2.
Hence the numeric value at x = -1 is given as follows:
g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.
For x at x = 2 and greater, the function is given as follows:
g(x) = 0.5x - 1.
Hence the numeric values at x = 2 and x = 3 are given as follows:
g(2) = 0.5(2) - 1 = 0.g(3) = 0.5(3) - 1 = 0.5.A similar problem, also featuring numeric values of a function, is given at brainly.com/question/28367050
#SPJ1
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
Find the (perpendicular) distance from the line given by the parametric equations
x(t)= -2-6t
y(t)= 1-3t
z(t)= -5+7t
to the point (-8,9,8)
Answers
Answer:
\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\) Whatever this number may be
Step-by-step explanation:
The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus
\(6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0\)
We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:
\(6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94\)
Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:
\((-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})\)
At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual \(\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}\), whatever abomination of a number it might become:
\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\)
At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.
I WILL GIVE BRAINLIEST What is the value of the expression 0.5 squared? 0.125 0.25 0.52 1
Answers
Answer:
0.25
Step-by-step explanation:
0.5x 0.5= 0.25
Answer:
On edge, its 0.25. trust me I just finished the test.
Step-by-step explanation:
David has available 40 yards of fencing and wishes to enclose a rectangular area.
Answers
Answer:
5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.
Step-by-step explanation:
yes
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
Answers
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
For more such questions on distance visit:
https://brainly.com/question/30395212
#SPJ8
ASAp
Combine like terms.
9p + 12 + 7p – 3
Answers
Combine 12 and -3 because they are like terms and 9p and 7p because they both have p
Answer:
16p + 9
Step-by-step explanation:
9p + 12 + 7p – 3
16p + 12 - 3
16p + 9
hope this helps :)
2) For a negative number, x, is the absolute value of x a positive number or a negative number? Explain.
Answers
Answer:
A positive number.
Step-by-step explanation:
Absolute value means that no matter if the number is positive or negative, it will always be positive, e.g. | -4 | would be 4 or | 4 | would also be 4.
Maureen has a Jump rope that is 62 inches long nancys jump rope is 10 inches longer how long is nancys jump rope?
Answers
Answer: 6 feet long
Step-by-step explanation:
1ft. = 12 in
62 inches = 5 feet and 2 inches
Break down 62 into 60 and 2
60 divided by 12 = 5 (12x5=60)
60in. = 5ft.
2in. = 2in.
5ft. and 2in.
10in.= 10in.
Add the inches
10in. + 2 in. = 12 in.
12in.= 1ft.
5ft. + 1ft. = 6ft.
Answer: Nancy’s rope is 6ft. long
question 7.
identify the zeros of the graphed function
A) -2,2
B)-2,0,2
C)-2
D)2
Answers
Answer:
-2,0 0,-8 , 2,0 hope that helps
Over an 80-day period, the number of leatherback sea turtle eggs on the two beaches can be modeled by A(x)=-0.25x^2+20x and B(x)=-0.19x^2+15.2x where x is the number of days.
Find (A+B)(x) and (A-B)(x)
Evaluate each expression when x=5
What is the meaning of (A-B)(x)?
Find the vertices and the intercepts of both.
Find where both are increasing and decreasing.
Answers
The sum (A+B)(x) and difference (A-B)(x) of two quadratic functions A(x) and B(x) were found, along with their values for x=5, vertices, intercepts, and where they are increasing/decreasing.
To find (A+B)(x), we simply add the two functions:
(A+B)(x) = A(x) + B(x) = (\(-0.25x^2+20x\)) + (\(-0.19x^2+15.2x\)) = \(-0.44x^2\) + 35.2x
To find (A-B)(x), we simply subtract B(x) from A(x):
(A-B)(x) = A(x) - B(x) = (\(-0.25x^2+20x\)) - (\(-0.19x^2+15.2x\)) = \(-0.06x^2\) + 4.8x
When x=5, we can evaluate each expression:
(A+B)(5) = \(-0.44(5)^2\) + 35.2(5) = 60
(A-B)(5) = \(-0.06(5)^2\) + 4.8(5) = 12
To find the vertices and intercepts of the functions A(x) and B(x), we can use the vertex and intercept formulas for quadratic functions:
For A(x):
Vertex = (-b/2a, f(-b/2a)) = (-20/-0.5, A(20/-0.5)) = (40, 400)
x-intercepts: 0 = \(-0.25x^2\) + 20x, so x = 0 or x = 80
y-intercept: A(0) = 0
For B(x):
Vertex = (-b/2a, f(-b/2a)) = (-15.2/-0.38, B(15.2/-0.38)) = (40, 304)
x-intercepts: 0 = \(-0.19x^2\) + 15.2x, so x = 0 or x = 80
y-intercept: B(0) = 0
Both functions are decreasing for x < 40, and increasing for x > 40. The vertex (40, 400) is the maximum point for A(x), and the vertex (40, 304) is the maximum point for B(x).
To learn more about quadratic functions please click on below link
https://brainly.com/question/29775037
#SPJ1