The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
#SPJ7
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?
Given:
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].
To find:
The amount paid by each boy.
Solution:
We have,
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:
[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]
John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:
[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]
Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
What is the value of the expression below
(-64)^2/3
Answer:
16
Step-by-step explanation:
[tex](-64)^2/3[/tex]
64 = [tex]2^{6}[/tex]
[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]
[tex]2^{ 2^{2} }[/tex]
[tex]2^{4}[/tex]
16
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
question 3 help pls in algebra
Answer:
50
Step-by-step explanation:
simplify the radical by breaking the redicand up into a product of known factors, assuming positive real numbers.
[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]
Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
please answer i will give u brainless PLZZZZZZ
Answer:
96 green pens
Step-by-step explanation:
Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4
Green = 4*24=96
What is the value of d?
A.100 B.84 C.50 D.80
Answer:
A. 100
Step-by-step explanation:
84
Step-by-step explanation:
c + 100 =180
c=180-100
c=80
100+96+d+c=360
100+96+d+80=360
276+d=360
d=360-276
d=84
HELPPPPPP i will give brainliest!!!!!
Answer:
10-5=5 answer is 8^5
Step-by-step explanation:
Answer:
[tex]8^{5}[/tex]
Step-by-step explanation:
[tex]\frac{8^{10} }{8^{5} }[/tex]
Where are there more 8's ?
top
How many more?
5
Then they stay on top of fraction.
Another way :
[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
[tex]8^{10}[/tex] ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
Solve for x. Round to the nearest tenth, if necessary.
Answer:
3.8106327168
Step-by-step explanation:
x=2.5/sin(41) = 3.81063271676
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
Solve for x. Thank you
Answer:
x = sqrt(3)
Step-by-step explanation:
Use Thales theorem
x²=3(4-3)x²=3(1)x²=3x=√3. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation:
Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
Helppp and explain too
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
what is the solution to -6 - -25=
Answer:
19
Step-by-step explanation:
(-6)-(-25)=(-6) +25 = 19
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false
Answer:
a
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Because the ops are always trying to oppose things, so you show them why they're wrong.
Cual de las siguientes fracciones es equivalente a 6/18
1/3
2/3
3/18
3/6
Answer:
the answer is going to be 1/3
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
How do you get 24 with the numbers 6, 5, 4 and 8
Step-by-step explanation:
hoped this will help you
if that's help you plz vote me or mask as brinalist
HELP!!!! THANK YOU ...........
Answer:
Using trigonometric ratio
sin(0)=opposite/hypotenise
sin(A)=BC/BA
sin(A)= 6/7
A=arcsin(6/7)
A=58.997°
A=59.00°
----------------------
Hope it helps...
Have a great day!!!
A particle is projected with a velocity of [tex]29.4ms^-^1[/tex] . Find it's maximum range on a horizontal plane through the point of projection.
A.88.2m B.44.1m C.32.6m D.29.4m E.14.7m
A.88.2m
Answer:
Solution given:
initial velocity[u]=29.4m/s
g=9.8m/s²
maximum range=?
now
we have
[tex]\theta=90°[/tex]
maximum range =[tex]\frac{29.4²*sin90}{9.8}=88.2m[/tex]
The initial velocity is,
→ u = 29.4 m/s
General assumption,
→ g = 9.8m/s²
→ θ = 90°
Then the maximum range is,
→ (29.4² × sin90)/9.8
→ 88.2 m
Hence, option (A) is answer.
