What is the value of r in the equation −43r−1=−2 ?
Answer:
r = 1/43
-43r = -2 + 1
43r = -1
r = -1/-43
r=1/43
I need help with that
Answer:
b=8
Step-by-step explanation:
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.
Working with the Equations
Work Separately
Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Comparing Students
Work Together
Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?
Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?
If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.
Karen begins charging $8 per hour for babysitting, and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?
Answer:
Seth:
Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen:
Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Part A: Converting it in function for by solving for y first.
Solving 7.50x + 15y = 750, equation we get
7.50x + 15y = 750
15y = -7.50x + 750
y = -1/2x + 50
Solving 6x + 4y = 700 for y, we get
6x + 4y = 700
4y = -6x + 700
y= -3/2x + 175.
On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.
If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.
Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.
In function form we could write equation as
f(x) = -1/2x + 50 and
f(x) = -3/2x + 175.
Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.
Therefore, Karen has greater y-intercept.
This means Karen earns $175 by just walking dogs.
Part C: If both students work 80 hours for the month.
Let us plug x =80 in each of the equations.
y = -1/2x + 50 => y = -1/2(80) + 50 = -40 +50 = $10.
Seth would earn $10 from mowing lawn.
Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.
y = -3/2x + 175 => y = -3/2(80) + 175 = -120 +175 = $55.
Karen would earn $50 from walking dog.
So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.
Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.
Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.
The equations would become : 8x + 15y = 750, 8x + 4y = 700.
It would not effect the graph much. Even the y-intercepts would remain same.
There would be a slightly change in slopes.
Step-by-step explanation:
Answer:
If you see this give him brainliest
Step-by-step explanation:
Find the missing of the largest angle in the triangle shown. 15x
24x
21x
Step-by-step explanation:
ummm
A golfer hits a golf ball off a tee. A quadratic function models the height of the golf ball in the coordinate plane, with the origin representing the initial location of the golf ball. Which of the following features can be used to determine the height that the golf ball travels from its initial location to the point where the golf ball starts falling towards the ground? Select ALL that apply.
A
zeros
B
vertex
C
y-intercept
D
end behavior
Answer:
a zeros
Step-by-step explanation:
The height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, a golfer hits a ball off a tee. The height of the golf ball in the coordinate plane is represented by a quadratic function, with the origin being the golf ball's initial position.
The equations give the relation of height, time, and velocity in terms of the quadratic equation is,
h = -t² + vt + s,
Since s is the height in feet and v is the initial velocity in feet/second, one may determine the ball's maximum height.
After solving the equation and finding the values of zeroes gives the maximum height.
Thus, the height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
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I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
might be b but I'm not 100% sure so sorry if it's wrong
Which mixture would taste different? Mixture 1: 1 cup water, 1.5 teaspoons drink mix Mixture 2: 2 cups water, 1/2 teaspoon drink mix Mixture 3: 1 cups water, 1/4 teaspoon drink mix Mixture 1 Mixture 2 Mixture 3
Answer:
Drink 1 will taste different.
Step-by-step explanation:
Given the mixtures:
Mixture 1: 1 cup water and 1.5 teaspoons drink mix
Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix
Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix
To find:
Which of the mixtures will taste different?
Solution:
To answer this, we need to find the ratio of all the mixtures.
First of all, Let us make ratio of water as 1 quantity.
Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]
Ratio of Mixture 2 contains 2 cups of water.
Let us divide the ratio of mixture 2 with 2, we get:
[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]
Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]
Ratio of drink mix of 1st mixture with 1 cup water is different.
So, drink 1 will taste different.
A circle has a radius of 12. Find the area of the sector whose central angle is 120°.
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
If you can help me on these I’ll give you brainliest
Answer:
B
Step-by-step explanation:
Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.
Answer:
B) a long-term from of torpor
How many apples are there in a bag if there is a total of nine pieces of fruit
Answer:
9
Step-by-step explanation:
if their nine pieces nine apples
hope im right!
If $500 was earned on $10,000 total worth of sales, then the commission rate is:
Solve (2x – 1)2 = 9.
Question 19 options:
A)
x = –2, 1
B)
x = 2, 1
C)
x = 2, –1
D)
x = –2, –1
What is the best estimate for the percent equivalent to 3/8?
Answer:
To find this out, turn 3/8 into decimal form, (0.375).
Now, turn each percent into standard form. (Also decimal form)
26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.
The decimal closest to 0.375 is 37%.
Step-by-step explanation:
Does anyone know the answer to this ??
Answer:
The answer is y = 4x
Step-by-step explanation:
Y is constantly changing by 1, 4x simple explains that for each change in y, the change in x is 4 times greater.
Answer:
You got it right , y=4x lol
Step-by-step explanation:
What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?
Answer:
y= 3x
Step-by-step explanation:
The slope is just read. It is 3. It is the value of m in the general equation.
y = mx + b
y = 3x + b
To find b, use (-1,-3)
x = -1
y = -3 Substitute into the general equation
-3 = 3(-1) + b Simplify the right side
-3 = -3 + b Subtract -3 from both sides
b = 0
Answer: y = 3x
PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it 25?
Step-by-step explanation:
Please help me!! I’m so confused
Answer:
X = 24
Step-by-step explanation:
Just apply H² = B² + P²
(26)² = (10)² + P²
676 = 100 = P²
676 - 100 = P²
P² = 576
P = √576
P = 24
P = X
Hope this helps you.
can anyone please help!!!
Answer:
Question 9
(a) The distance, Jalaj walks in one day is 4.4 km
(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8
Question 10
(b) The difference between the largest and smallest areas is 2,400 m²
Step-by-step explanation:
Question 9
(a) The distance Jalaj walks in 5 days = 22 km
Whereby Jalaj walks equal distance every day, we have;
The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day
The distance, Jalaj walks in one day = 4.4 km
(b) The amount he raises for every kilometer he walks = $1.60
The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60 = $8
Question 10
(b) The given side length of the square = 120 meters to the nearest 10 meters
Therefore;
The maximum dimension for the side length of the square = 120 + 10/2 = 125
The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²
The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m
The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².
The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².
Solve for x
9(x-1)=81
x=
Answer:
x=10
Step-by-step explanation:
[tex]9x-9=81\\9x=90\\x=10[/tex]
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
Can the side of a triangle have lengths 1,4 and 6 yes or no
Answer:
no
Step-by-step explanation:
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
1) Jayden runs 1/4 of a mile in 1/4 of an hour. How far will it take him to run 1hr.
2) Dylan walked 1/3 miles in 20 minutes How far will he goes in miles distance in 120 minutes?
Answer:
Question 1 : If you mean how many miles will he run in 1 hour then it is 1 Mile | Question 2 : 2 Miles
Step-by-step explanation:
Question 1 :
1/4 x 4 (because of the hour being split into fourths) = 1 Mile
Question 2 :
120 / 20 = 6, 6 x 1/3 = 6/3, simplified = 2
HELPPPPPPP plesssss two part question. the question is on the picture
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!
Answer:
1. (0,5) (16,21) (20,25) (36,41) (55,60)
Step-by-step explanation:
Hope this helped you!! Give brainliest
Answer:
nnrrharthtghgdzhgdhth
Step-by-step explanation:
What is 5/8 divided by 1/4
I’m timed
Answer:
5/2
Step-by-step explanation:
(5/8) / (1/4) = 5/8 times 4
= 20/8 = 10/4 = 5/2
Answer:
5/2
Step-by-step explanation:
[tex]\frac{5}{8} *\frac{4}{1} =\frac{5}{2}[/tex] because you have to multiply by it's inverse
Solve the following equation, -2(x-2)=4 for x. Show your work please
Answer:
x = 0
Step-by-step explanation:
Divide by -2
-2(x - 2)/-2 = 4/-2
x - 2 = - 2
Add 2 to both sides
x - 2 + 2 = - 2 + 2
x = 0
Answer:
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -2*(x-2)-(4)=0
This is how your equation should look like (0 - 2 • (x - 2)) - 4 = 0
Solve: -2x = 0
Multiply both sides of the equation by (-1) : 2x = 0
Divide both sides of the equation by 2: x = 0
Please mark as branliest.
Thanks!