Answers
Answer:
First: [tex]y = \frac{4}{7} x + 2[/tex]
Second: [tex]y = -\frac{1}{7} x + 2[/tex]
Third: [tex]y = x + 2[/tex]
Fourth: [tex]y = \frac{1}{7} x + 2[/tex]
Related Questions
Given
g(x) = 4x2 + 6
What is g(-3)
Answers
Answer:
[tex]g(-3)=42[/tex]
Step-by-step explanation:
Given:
[tex]g(x)=4x^2+6[/tex]
Let's substitute -3 for [tex]x[/tex]
[tex]g(-3)=4(-3)^2+6[/tex]
Now, let's solve
[tex]g(-3)=4(9)+6[/tex]
[tex]g(-3)=36+6[/tex]
[tex]g(-3)=42[/tex]
Hope this helps
(Not sure how your program would write the answer)
Basically what you do is input -3 into wherever there is an x. So the equation would become 4(-3)^2+6 which equals 42
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answers
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
o(d)'?
Which expression is equivalent to
Answers
Answer:
2nd Option:[tex] \frac{1}{ {a}^{42} } [/tex]
Step-by-step explanation:
[tex] {( {r}^{ - 7}) }^{6} [/tex]
Since,
[tex] {( {a}^{x}) }^{y} = {a}^{xy} [/tex]
Then,
[tex] = {r}^{ (- 7 \times 6)} = {r}^{ - 42} [/tex]
Since,
[tex] {a}^{ - 1} = \frac{1}{a} [/tex]
Then,
[tex] = {r}^{ - 42} = \frac{1}{ {r}^{42} } [/tex]
Therefore,
2nd Option is correct.
solving system by substitution
Answers
Given the system of equations below:
[tex] \large{ \begin{cases} x + 2y = 12 \\ x = y - 12 \end{cases}}[/tex]
For the second equation, x-term is isolated and can be substituted in the first equation.
[tex] \large{(y - 12) + 2y = 12}[/tex]
The equation above is when we substitute x = y-12 in the first equation. Cancel the brackets.
[tex] \large{y - 12 + 2y = 12}[/tex]
Add up the like term and isolate y-term.
[tex] \large{3y - 12= 12} \\ \large{3y - 12 + 12 = 12 + 12}[/tex]
Add both sides by 12 to get rid of 12 from the left side to isolate y-term.
[tex] \large{3y = 24}[/tex]
Divide both sides by 3 so we can finally isolate the term.
[tex] \large{ \frac{3y}{3} = \frac{24}{3} } \\ \large{ \frac{ \cancel{3}y}{ \cancel{3}} = \frac{ \cancel{24}}{ \cancel{3}} } \\ \large{y = 8}[/tex]
Next, find the x-value because in system of equations - we have to answer as in an ordered pairs or coordinate point. We know y-value now but we don't know x-value yet. To find x-value, we substitute the y-value in one of two equations that are given. You can substitute in both equation but it's not necessary to substitute in both equations at one. I will choose to substitute in x = y-12.
[tex] \large{x = y - 12}[/tex]
Substitute y = 8 in the equation.
[tex] \large{x = 8 - 12} \\ \large{x = - 4}[/tex]
Now that we know the both values. We finally have an answer to this problem. Hence.
Answer
x = -4, y = 8(-4,8)The second answer is in ordered pair form. Let me know if you have any doubts!
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS
Answers
Answer:
4 : 3
Step-by-step explanation:
So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.
So, what are the factors of 18?
2369118Now what are the factors of 24?
2368124All of these work, but we need to GCF, which is the largest factor that goes into both numbers.
Looking at them, it would be 6.
So lets divide both numbers by 6 and see what we get:
18/6
=
3
24/6
=
4
So now there are 3 red crayons and 4 green crayons.
OR
For every 3 red crayons there are 4 green crayons.
This makes the ratio:
3 : 4
Hope this helps!
Ration of red to green crayons is 3:4
Given that;Number of red crayons = 18
Number of green crayons = 24
Find:Ration of red to green crayons
Computation:Ration of red to green crayons = Number of red crayons / Number of green crayons
Ration of red to green crayons = 18 / 24
Ration of red to green crayons = 3/4
Ration of red to green crayons = 3:4
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b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000
Answers
Answer:
B
[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]
Pleaseee help ASAP !!!!!!!!!!!
Answers
Given:
The dimensions of base are 5 cm and 5cm.
The height of the pyramid is 3 cm.
To find:
The volume of the pyramid.
Solution:
The volume of a pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
The base area of the given pyramid is:
[tex]B=length \times width[/tex]
[tex]B=5 \times 5[/tex]
[tex]B=25[/tex]
Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(25)(3)[/tex]
[tex]V=25[/tex]
Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.
A rectangular flower pot is 30 cm long, 16 cm wide and 12 cm high. How much soil is needed to fill the flower pot?
Answers
This question is asking for the volume of a rectangular prism (length x width x height):
30 • 16 • 12 = 5,760
The volume is measured in cubic feet in this case.
Final answer: 5,760 cubic feet of soil
Hope this helps!
PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU
EXPLAIN UR ANSWER = BRAINLIEST
A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.
The area of the dilated trapezoid is ___ square centimeters.
(this is just a word question!)
Answers
Answer:
The area of the image is equal to the area of the pre-image multiplied by the scale factor.
The area of the dilated trapezoid is __54*2/3=36_ square centimeters.
Pls only help if you know the correct answer! Thanks! :)
Answers
Answer:
Line C.
Step-by-step explanation:
Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.
p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.
Answers
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
Give m || n, find the value of x and y
Answers
Answer:
Step-by-step explanation:
2x + 4 + 7x - 13 = 180 degree
9x - 9 = 180
9x = 180 + 9
x = 189/9
x = 21 degree
2x + 4 + 3y + 14 = 180 degree (being linear pair)
2*21 + 4 + 3y + 14 = 180
42 + 18 + 3y = 180
60 + 3y = 180
3y = 180 - 60
y = 120/3
y = 40 degree
ahhh help its PLATO
'la
Answers
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answers
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
Question 6
1 pts
If there are initially 12,000 bacteria in a culture, and the number of bacteria double
each hour, the number of bacteria after t hours can be found using the formula
N = 12,000 (24). How many bacteria will be present after 7 hours?
O 1,536.000
O 768,000
168,000
384.000
Previous
Next >
Answers
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
trust
What should be the first step in adding these equations to eliminate y?
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination
6 of 10
?
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answers
We need to make sure that the United sets the same so there are 60min in one hour and the fraction of time that is In an hour in 51 so
51/60
51 is prime so it’s can’t be simplifyied
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answers
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
What is another name for the line GI in the image below?
Answers
Answer:
Line m
Step-by-step explanation:
The line is labeled with an m.
How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4
Answers
Answer is : No solution
A system of two equations can be classified as follows:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Definition Linear Equation in One Variable
A linear equation in one variable is an equation that can be written in the form ax+b=c, where a, b, and c are real numbers and .
Linear equations are also first-degree equations because the exponent on the variable is understood to be 1.
Objective 3: Identify Equations That Are Contradictions and Those That Are Identities
A conditional equation is an equation that is true for some values of the variable but not for others. Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers.
Consider the equation x x 1. No matter what value is substituted for x, the resulting value on the right side will always be one greater than the value on the left side. Therefore, the equation can never be true. We call such an equation a contradiction. It has no solution. Its solution set is the empty or null set, denoted by { }
or , respectively.
Now consider the equation xx2x. The expression on the left side of the equation simplifies to the expression on the right side. No matter what value we substitute for x, the resulting values on both the left and right sides will always be the same. Therefore, the equation is always true. We call such an equation an identity. It
what is the simplified form of the following expression?
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) [/tex]
Answers
Answer:
Step-by-step explanation:
edge 2021
Which of the following is most likely the next step in the series?
Answers
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
❀ [tex]\huge\underline{ \underline{ \text{Answer :-}}}[/tex]
➺ It's likely to be option D.
[tex]\underbrace{ \overbrace{ \mathfrak{Explanation}}}[/tex]
➺ The first figure has a line which divides the circle ⭕ into 2 parts. The 2nd figure divides the circle ⭕ into 3 parts while the 3th figure divides the circle ⭕ into 4 parts. Obviously, the 4th figure then should divide the circle ⭕ into 5 parts. Checking all the given options,
Option A. doesn't divide the circle ⭕ into any parts.Option B. divides the circle ⭕ into 3 partsOption C. divides the circle ⭕ into 4 parts.Option D. divides the circle ⭕ into 5 parts.⟹ So, option D. is the correct answer.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Kevin's class just held a class election. 75% of the 28 students in the class voted. How many students voted?
THANKS, IM DESPERATE
Answers
Answer:
21
Step-by-step explanation:
75÷100×28=21
if its correct please mark as brainliest answer
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answers
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
Q= 4+0.8p what value of p would make the equation true if q was 70
Answers
Answer:
82.5 = p
Step-by-step explanation:
Q= 4+0.8p
Let q = 70
70= 4+0.8p
Subtract 4 from each side
70-4= 4-4+0.8p
66 = .8p
Divide each side by .8
66/.8 = .8p/.8
82.5 = p
6 friends go out for dinner and the bill for food and drink comes to £140.
The friends decide to add a 20% tip on top of this total.
If they divide the expense equally between them, how much does each friend pay?
Answers
Answer:
£28
Step-by-step explanation:
140 x .2 = 28
28+140 = 168
168/6 = 28
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Answers
Answer:
16.75 Dollars for each Ticket
Step-by-step explanation:
They are three friends so the total money they spent is 75 Dollars so a popcorn costs 8.25 EACH friend so
8.25 x 3
= 24.75
24.75 dollars was spent on the 3 popcorns.
Subtract the total money spent and the total money spent on the 3 popcorns so
75. 00 - 24.75
= 50.25
50.25 dollars were totally spent on the tickets but we're looking for each ticket so divide it by 3.
50.25/3
= 16.75
16.75 dollars each were spent on each ticket.
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You earn $30 for washing 5 cars. How much do you earn
per car?
Answers
Answer:
You get 6 dollars per car
Step-by-step explanation:
I divided 30 by 5
Answer: $6 per car
Step-by-step explanation:
If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5
[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]
$6 per one car
Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter
Answers
The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).
What is a unit circle?A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.
Given:
The unit circle at the given angle 135°,
Calculate the value of sin45 as shown below,
sin (180 - 135) = 1 / √2
sin 45 = 1 / √2
cos(180 - 135) = 1 / √2
cos45 = 1 / √2
Write the coordinates as shown below,
Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 ) (Second quadrant is (-x, y))
Coordinates = (-√2 / 2, √2 / 2)
Thus, the coordinates are (-√2 / 2, √2 / 2).
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If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?
Answers
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units
Step-by-step explanation: