Answers
To find the slope, you can use the formula: [tex]\frac{rise}{run}[/tex]. Start at where the graph intersects at the y-axis, which is -4. So, it rises up 2 units and goes left 3 units, which makes the slope [tex]\frac{2}{3}[/tex].
To find the y-intercept, you would start at where the graph intersects at the y-axis, which is -4 and this would be the y-intercept.
To find the equation, you can use the formula: y = mx + b. m is slope and b is the y-intercept. Plug the slope and y-intercept you found earlier. Thus, your final answer should be: [tex]y = \frac{2}{3}x-4[/tex]
Please reach out to me if you are still confused. Hope this helps :)
Related Questions
Which graph represents the inequality x greater-than 6?
A number line going from 1 to 11. A closed circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. A closed circle is at 6. Everything to the right of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the right of the line is shaded.
Answers
Answer:
C
Step-by-step explanation:
Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)
Answer:
C
Step-by-step explanation:
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
A x=-12
B X=-11
C x=14
D x=13
Answers
Answer:
x = 1.5
Step-by-step explanation:
8x + 8 - 3x - 12 = 14 - 7x
5x - 4 = 14 - 7x
-4 = 14 - 12x
-18 = -12x
x = 18/12 or 3/2
Which of the following formulas shows how to calculate the ending balance of an account with a beginning balance of $600 that earns 3.5% compound interest over 8 years?
Answers
Answer:
[tex]A(t) = 600(1.035)^8[/tex]
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
[tex]A(0) = 600, r = 0.035, t = 8[/tex]
So, the formula is:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 600(1+0.035)^{8}[/tex]
[tex]A(t) = 600(1.035)^8[/tex]
Ending balance:
The ending balance is:
[tex]A(t) = 600(1.035)^8 = 790.1[/tex]
The ending balance is of $790.1.
A cylindrical can of popped corn has a lateral surface area of 6760 T
cm? The height of the can is 40 cm. Using your formula chart, find the
correct formula and use it to find the radius.
F. 168 cm
H. 13 cm
G. 84.5 cm
J. 26 cm
Answers
9514 1404 393
Answer:
G. 84.5 cm
Step-by-step explanation:
Assuming the lateral area is 6760π cm², we can find the height from ...
A = 2πrh
r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm
The radius of the can is 84.5 cm.
A farmer recently purchased his
neighbor's farm. Before the purchase, the farmer owned a total of 365
acres of land. After the purchase, he
owned a total of 521
acres of land. Determine the percent increase in the number of acres of land owned by the farmer.
The number of acres of land owned by the farmer increased by about nothing
%. round to one decimal place as needed
thank you
Answers
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has
cooled to 200°F. Use a continuous exponential decay model to find the approximate decay
rate.
WILL MARK BRAINLIEST!! 20 POINTS!
Answers
Answer:
The decay rate is of 0.05 = 5% per minute.
Step-by-step explanation:
Continuous exponential decay model:
The exponential equation of decay for an amount, after t units of time, is given by:
[tex]A(t) = A(0)e^{-rt}[/tex]
In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.
A pizza is removed from the oven at a temperature of 425 F.
This means that [tex]A(0) = 425[/tex]
After 15 minutes, the pizza has cooled to 200°F.
This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]
We use this to find r.
[tex]A(t) = A(0)e^{-rt}[/tex]
[tex]200 = 425e^{-15r}[/tex]
[tex]e^{-15r} = \frac{200}{425}[/tex]
[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]
[tex]-15r = \ln{\frac{200}{425}}[/tex]
[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]
[tex]r = 0.05[/tex]
The decay rate is of 0.05 = 5% per minute.
Please help. Find the area of the following shape
Answers
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
Pls helpppppppp !! ಠ_ಠ
Answers
Answer:
226.80
Step-by-step explanation:
Answer:
$226.8
Step-by-step explanation:
you take 210 and times it by 8%
210 x 8%(.08)= 16.8
then add that 16.8 back to the 210
210+16.8= 226.8
Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?
Answers
Answer: 452 students
25 x 18 = 450 + 2= 452
Answer:
C
Step-by-step explanation:
Correct on edge 2020
HELP PLEASE DUE IN 4 MINUTES
Answers
Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly rent? How much is her yearly rent?
Answers
Answer:
$ 602.7
Step-by-step explanation:
2009$ x 30% = 602.7
What is the inverse function
Answers
Answer:
it's simple just divide
You see a hiker sitting on a bench taking a water break at the top of a hill at a 40° angle of elevation. Your eye level is 5 feet off the ground and you are standing 100 feet from the base of the hillAt what altitude is the hiker sitting on the bench?
Answers
Answer:
89
Step-by-step explanation:
Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:
tan(40)=x/100
x=100tan(40)=83.9
Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89
Final Answer: 89
The altitude of the hiker sitting on the bench of the hill is 89 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The angle of elevation = 40°
Distance from base of the hill = 100 feet
Distance from the ground to the eye level = 5 feet
The diagram below shows the right angled triangle.
Let the altitude from the eye sight to the bench be x.
Total altitude = x + 5
The altitude of the hiker can be found by using trigonometric ratio,
[tex]tan\theta= \frac{opposite}{adjacent}[/tex]
⇒ [tex]tan 40=\frac{x}{100}[/tex]
⇒ [tex]0.8390=\frac{x}{100}[/tex]
⇒ [tex]x=83.90[/tex]
Total height = [tex]x+5[/tex]
⇒ [tex]83.90+5[/tex]
⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]
Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.
Learn more about trigonometry here
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Help pls and explain I need 10 mins left
Answers
Answer:
32
Step-by-step explanation:
Four customers at a restaurant had the same bill. Each customers gave the server a tip that was a different percentage of the amount due. Which customers tipped 15% or more? Click on the bills you want to select.
Answers
Answer:
.....................
Step-by-step explanation:
HELP WITH MATH!!!!!!!!
Answers
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4
32- 4 = 28 units sqr
Qual é o tipo desta expressão algebrica? [tex]7x^{3}[/tex]
Answers
Responder:
Expressão monomial de terceiro grau
Explicação passo a passo:
O número de expressões de um termo algébrico. Contém é usado para nomeá-los em:
Monomial = 1 termo.
Binomial = 2 termos
Trinomial e assim por diante; A expressão fornecida acima contém apenas um único termo '7x³', portanto, é uma expressão monomial. A maior potência em que a variável na equação quadrática é elevada é chamada de potência;
A expressão acima é elevada à potência 3. Portanto, a equação quadrática é um monômio elevado à potência 3.
Portanto, é um monômio de terceiro grau.
what are the solution to the system of equations graphed below?
Answers
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=50°, and WU = 27 feet. Find the length of VW to the nearest tenth of a foot. HELPPP
Answers
Answer:
32.2 feet
Step-by-step explanation:
Answer:
32.2
Step-by-step explanation:
What is the measure of each interior angle of Regular Polygon?
Answers
Answer:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
Step-by-step explanation:
140
∘
Each interior angle of regular polygon of n sides is given by
n
180(n−2)
degree
∴ each interior angle =
9
180(9−2)
degree
=20×7
=140
PLEASE HELP ILL GIVE BRAINLIEST!!
What is the volume of the solid, rounded to the nearest tenth? Use 3.14 for TT.
This is too many questions
122.7 cm
3434.4 cm3
858.6 cm
Answers
Answer:
Step-by-step explanation:
Radius r = 12.5/2 = 6.25 cm
Height h = 7 cm
volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm
Find the difference when
the product of 90 and 8 is
subtracted from 1260.
Answers
Find the area of the larger circle.
Answers
Answer:
65.94
Step-by-step explanation:
2 + 3 = 5
r = 5
Small circle:
r = 2
A = πr²
A=(3.14)2²
A = 12.56
Large circle:
r = 5
A = πr²
A=(3.14)5²
A = 78.5
78.5 - 12.56 = 65.94
Select all the expresions that represent the large retangle total area 5 b 3
Answers
Answer:B, C and D are all correct
Step-by-step explanation:
Because, A. 3 (5 + b)
B. 5 (b + 3)
C. 5b + 15
D. 15 + 5b
E. 3 ⋅ 5 + 3b
Which of these choices is a solution to the equation (x + 4)(x - 3) = -10?
a) 4
b) 3
C) -2
d) -1
Answers
The solution of the given equation (x + 4)(x - 3) = -10 is -2.
Thus, option C is correct.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
Given equation:
Multiply the brackets,
(x + 4)(x - 3) = -10
[tex]x^2-3x+4x-12 = -10[/tex]
x^2 +x -12+10 =0
x^2 +x -2=0
x(x+2)-1(x+2)=0
(x+2)(x-1)=0
x= -2, x=1
Thus, option C is correct.
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how to apply for teacher job?
Answers
Answer:
G oogle it, you will get different answers.
Step-by-step explanation:
To gain employment as a teacher, at least a bachelor’s degree is required. Some teachers choose to major in the subject area they plan to teach, such as English, history, or biology, but it is generally not a requirement to do so. In many states, including California, Massachusetts, and Pennsylvania, a master’s degree is also required in order to obtain a teaching certificate. For any state you teach in, a certificate or license specific to that state is required. The certificate is typically given after prospective teachers pass a state-specific teaching exam. Some states also require that teachers have some supervised experienced teaching, or that they have completed a teacher preparation program.
Skills for teachers
Teachers should be comfortable with speaking in front of people, and should have strong communication skills. Organization is also an important skill for teachers, as creating lesson plans, grading and handing back assignments, and keeping students on track for state exams all require attention to detail and the ability to stay organized. It is also important for teachers to have the ability to stay calm in chaotic situations and to mediate between young students. Answer:
you
Step-by-step explanation:
Find the area of sector with a radius of 4 and a central angle of 30 degrees.
Answers
Answer:
Step-by-step explanation:
[angle of sector]/360 x π x radius ² [formula to find area of a sector]
30/360 x π x 4²
Type into a calculator
4.18879
need help geometry question central angles and arcs pls???
Answers
Answer:
75°,
mUV = 105°, the other 2 are both 75°. This means mTU = 75°
Rewrite 10(a - b + 4) using the distributive property.
Answers
Answer:
10
Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4
Answers
Answer:
[tex]4x^2 -4x - 48 = 0[/tex]
Step-by-step explanation:
Given
[tex]x= -3 \ or\ 4[/tex] -- roots
[tex]n= 4[/tex] --- leading coefficient
Required
Calculate the quadratic equation
[tex]x= -3 \ or\ 4[/tex]
Split to 2:
[tex]x = -3\ or\ x = 4[/tex]
Equate both to 0
[tex]x +3 = 0\ or\ x - 4= 0[/tex]
Multiply both together:
[tex](x + 3) * (x - 4) = 0 * 0[/tex]
[tex](x + 3) * (x - 4) = 0[/tex]
[tex]x^2 -4x +3x - 12 = 0[/tex]
[tex]x^2 -x - 12 = 0[/tex]
Multiply both sides by the leading coefficient, n
[tex]n * [x^2 -x - 12] = 0 * n[/tex]
[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]
[tex]4 * [x^2 -x - 12] = 0[/tex]
Open brackets
[tex]4x^2 -4x - 48 = 0[/tex]