Answers
Answer:
[tex]m=\frac{-1}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
Points (0, -1) and (-3, 0)
[tex]m=\frac{0-(-1)}{-3-0}[/tex]
[tex]m=\frac{0+1}{-3}[/tex]
[tex]m=\frac{1}{-3}[/tex]
[tex]m=\frac{-1}{3}[/tex]
Related Questions
In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.
Answers
Answer:
First year = 30000
Second year = 12000
Step-by-step explanation:
Given
[tex]Loan = \$42000[/tex]
Represent first year with f and second year with s.
So, we have:
[tex]s + f = 42000[/tex]
and
[tex]f = 3s - 6000[/tex]
Required
Solve for f and S
Substitute 3s - 6000 for f in the first equation.
[tex]s + f = 42000[/tex]
[tex]s + 3s - 6000 = 42000[/tex]
[tex]4s - 6000 = 42000[/tex]
Collect Like Terms
[tex]4s = 42000 + 6000[/tex]
[tex]4s = 48000[/tex]
Solve for s
[tex]s = 48000/4[/tex]
[tex]s = 12000[/tex]
Substitute 12000 for s in [tex]f = 3s - 6000[/tex]
[tex]f = 3 * 12000 - 6000[/tex]
[tex]f = 36000 - 6000[/tex]
[tex]f = 30000[/tex]
Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
Answers
Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
Can someone please answer this question. Identify the vocabulary word that matches the picture.
Answers
This is a line the equals 180 degrees which is like the one in the picture
Write the equation of the parabola in vertex form.
vertex (4,2), point (3,- 1)
f(x) =
Write the equation of the parabola in vertex form.
vertex (4,4), point (2,- 8)
f(x) =
Answers
Answer:
Step-by-step explanation:
poin
How is -9 + (-4) the same as -9 + 4?
Answers
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
Select the correct answer.
Find the value of g(7) for the function below.
g(x)= 7/8x-1/2
A. 49/8
B. 53/8
C. 60/7
D. 45/8
Answers
Answer:
D. 45/8
Step-by-step explanation:
The value of function g (7) is,
⇒ g(7) = 45/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
⇒ g(x) = 7/8x - 1/2
Now, Plug x = 7 in above equation,
⇒ g(x) = 7/8x - 1/2
⇒ g(7) = 7/8 (7) - 1/2
⇒ g(7) = 49/8 - 1/2
⇒ g(7) = 49/8 - 4/8
⇒ g(7) = 45/8
Thus, The value of function g (7) is,
⇒ g(7) = 45/8
Learn more about the function visit:
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At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answers
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
What is 12% of 504 please let me know
Answers
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504
Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 8 ⇒ 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8 Take the square root of both sides to get the solutions
Answers
Answer:
Step-by-step explanation:
Given x^2 - 16x + 60 = -12
Using the completing the square method to find x;
subtract 60 from both sides
x2 - 16x + 60-60 = -12-60
x2 - 16x = -72
Add square of the half of the coefficient of x to both sides
x2 - 16x + (1/2(-16))² = -72 + (1/2(-16))²
x^2 - 16x +64 = -72+64
(x-8)² = -8
Take the square root of both sides
√(x-8)² = √-8
x - 8 = ±√8i
x = ±√8i+8
x = ±2√2i+8
The solution of the given equation is: [tex]x = 8+\sqrt{-8}[/tex] and [tex]\\x = 8-\sqrt{-8}[/tex].
Given that:
Equation: [tex]x^2 - 16x + 60 = -12[/tex]
Simplify the above equation as:
x² - 16x + 60 = -12
x² - 16x = -12 - 60
x² - 16x = -72
Add 64 to each side of the equation to complete the square.
x² - 16x + 64 = -72 + 64
x² - 16x + 64 = -8
Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.
(x - 8)² = -8
Take the square root of both sides to get the solutions.
[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]
where i is the imaginary unit.
Hence, the value of x are: [tex]x = 8+\sqrt{-8}[/tex] and [tex]\\x = 8-\sqrt{-8}[/tex].
Learn more about Equation here:
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In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
Answers
400=9x
X=44.444 so about 44 people would not like the movie
Which illustration shows the correct construction of an angle bisector?
Answers
Option (3) will be the correct construction of the angle bisector.
Steps to construct an angle bisector are as followed,
Step - 1
Put the compass at the vertex of the angle.
Step - 2
Draw an arc cutting both the arcs at two distinct points.
Step - 3
Draw two arcs from these points intersecting at a point.
Step - 4
Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.
Therefore, Option (3) will be the correct option.
Learn more,
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One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?A. 22°FB. 32°FC. -38°F. -28°F
Answers
Answer:
-28*F, hope this helps!
Answer:
-28 F
Step-by-step explanation:
please give the other guy brainliest :))))
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answers
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
let f(x)=2x and g(x)=x-4, what is the range of (f o g)(x)?
a. y>0
b. all real numbers except y=0
c. y <= 0
d. all real numbers
Answers
Answer:
c
Step-by-step explanation:
Answer:the answer is c
Step-by-step explanation:
Difficult one for me: Geometry!
Answers
Answer:
what is your question here??
Find the slope of the line. REMEMBER: Slopes must be simplified.
Answers
Answer: 2
Step-by-step explanation:
Answer:
ill help
Step-by-step explanation:
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answers
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answers
Answer:
I believe the slope is 2/3.
Help me please with this question ???
Answers
Answer:
D. 1
Step-by-step explanation:
If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.
Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).
The difference of the y-coordinates is:
3 - 0 = 3
The difference of the x-coordinates is:
1 - (-2) = 3
Dividing these gives:
3/3 = 1
The slope is thus 1, and the answer is D.
~ an aesthetics lover
Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades
Answers
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta
Answers
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
3cotθ = 2 , then
3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]
= [tex]\frac{0}{2sin0+3cos0}[/tex]
= 0
Determine the measure of ∠Z. images attached
Answers
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
Point B is located at (0, 2) and is translated to point B' with coordinates (1, -1), which translation did point B undergo? One unit right and three units down One unit right and one unit down Two units right and two units down Three units left and one unit up
Answers
Answer:
One unit right and three units down
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).
Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.
What is the reflection?
Answers
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answers
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
What is the value for y in the following expression
when x
14
y = 2x + 5
Answers
See attachment for math work and answer.
What is the domain for a continuous function
Answers
Answer: the third one
Step-by-step explanation: C
Hope this helps :)
What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answers
Answer:
the third one
Step-by-step explanation:
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answers
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
Solve 7 - 2x = x - 14
Answers
Answer:
7 = x
Step-by-step explanation:
7 - 2x = x - 14
7 + 14 = x + 2x
21 = 3x
7 = x
Hope this helps!