Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
please help me answer this question!
Answer:
equation: y = -5/4xslope: -5/4point: (0, 0)Step-by-step explanation:
The slope is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(0 -(-4)) = -5/4
slope = -5/4
The second point can be used to keep it simple.
point: (0, 0)
Point-slope equation:
y -0 = -5/4(x -0)
y = -5/4x . . . . . . . simplified
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
thank you guys for helping me :) :)
Answer:
The second one is right
Step-by-step explanation:
Hope it helpssss
His grandmother is sick, so Hassan is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kinds of beans: kidney, pinto, and black. In all, Hassan uses 2 1/4 cups of beans in the soup.
Use an equation to find the amount of each kind of bean Hassan uses in the soup.
Answer:
0.75 cup
Step-by-step explanation:
K + p + b = 2 1/4
K = p = b
Sence all beans are equal we can divide 2 1/4 by 3
2 1/4 / 3 = 3/4
The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?
Answer:
the one you picked was right.
Step-by-step explanation:
if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense
Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
Write two expressions for the perimeter of the figure.
Answer:
(a) 5 + 7 + 6x + 8x + 6
(b) 18 + 14x
Step-by-step explanation:
a boy is y years old now .how old was he 10 years ago
Answer:
Hi there the answer is y-10
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
I need help! Show all the work, step by step.
Answer:
z = [tex]\frac{4x}{3y}[/tex]
Step-by-step explanation:
x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4x = 3yz ( isolate z by dividing both sides by 3y )
[tex]\frac{4x}{3y}[/tex] = z
What are the roots of the equation x²+2x+17=0 in simplest a+bi form?
Answer:
-1 ±4i
Step-by-step explanation:
The quadratic can be written in vertex form as ...
x² +2x +17 = 0
(x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square
(x +1)² = -16 . . . . . . . . . . . . subtract 16
x +1 = ±√(-16) = ±4i . . . . take the square root
x = -1 ±4i . . . . . . . . . . . subtract 1
The roots of the equation are x = -1-4i and x = -1+4i.
_____
Additional comment
It can be worthwhile to remember the form of a perfect square trinomial:
(x +a)² = x² +2ax +a²
If you know the coefficient of x, you can use half of it as the constant in each binomial factor.
In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.
The roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].
To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.
The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
We have a = 1, b = 2, and c = 17.
Substituting these values into the quadratic formula, we get:
[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]
[tex]x = \frac{-2 \pm 8i}{2}[/tex]
[tex]x = -1 \pm 4i[/tex]
So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ6
First rewrite the expression by combining like terms 1/2(13x+5x-6-8x+14)=1/2
Answer:
1/2(10x+8)
Step-by-step explanation:
Combine like terms
13x+5x+(-8x) and -6+14
PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5
Answer:
60
Step-by-step explanation:
[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]
7x+1/3=2 2/3
Help me please
If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
Write the inequality for the situation. Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred
Answer:
7 > F
Step-by-step explanation:
Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred
7. Fred has fewer dollars than Penny. Left F=Fred
7 > Left F=Fred
7 > F
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
guys i need help at least 1 question please
i will give brainliest
Answer:
most of them would be 0
Step-by-step explanation:
Given side AB in triangle ABC has length x, what is the length of side AC?
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/21286835
4x+5y=20 need help solving x and y intercept plotting
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x To find the y-intercept, substitute in 0 for x and solve for y.
Slope: [tex]m=-\frac{4}{5}[/tex]
x-intercept(s): ( 5 , 0 )
y-intercept(s): ( 0 , 4 )
I need some help please. I don't understand this. :)
Answer:
i dont know sorry
Step-by-step explanation:
pls ask someone else thanks have a nice day
What is the least common denominator for 5 and 16
Answer: 80
Step-by-step explanation:
16, 32, 48, 64, 80
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80
Is 70.61 a rational or irrational number?
Answer:
70.61 is a rational number
Step-by-step explanation:
This is because a rational number is either:
A whole number, like 70, whole number.
Is a terminating decimal, such as the one above 70.61, (A terminating decimal is a decimal that doesn't repeat.
And or has a pattern, or a recurring decimal, like 7.478478..., it repeats the decimal over and over, thus, rational.
Hope this helped you, have a great day.
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
To learn more about surface area,
https://brainly.com/question/2835293
#SPJ5
Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle
Answer:The juice left in bottle is 0.5 litre
Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
Find the 66th term of the arithmetic sequence -10, 7, 24, ...−10,7,24,...
Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
(10,4) and (14,2) slope
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\textsf{Slope of: (10,4) (14,2) }[/tex]
[tex]\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}[/tex]
[tex]\textsf{Whereas }\downarrow[/tex]
[tex]\mathsf{y_2 = 14}[/tex]
[tex]\mathsf{y_1 = 10}[/tex]
[tex]\mathsf{x_2 = 2}[/tex]
[tex]\mathsf{x_1 = 4}[/tex]
[tex]\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow-2}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]