Answer:
(- [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )
Step-by-step explanation:
Given the2 equations
6 - 2x = y → (1)
14 + 3x = y → (2)
Substitute y = 14 + 3x into (1)
6 - 2x = 14 + 3x ( subtract 3x from both sides )
6 - 5x = 14 ( subtract 6 from both sides )
- 5x = 8 ( divide both sides by - 5 )
x = - [tex]\frac{8}{5}[/tex]
Substitute x = - [tex]\frac{8}{5}[/tex] into either of the 2 equations for the corresponding value of y
Substituting into (1)
y = 6 - 2(- [tex]\frac{8}{5}[/tex] ) = [tex]\frac{30}{5}[/tex] + [tex]\frac{16}{5}[/tex] = [tex]\frac{46}{5}[/tex]
solution is ( - [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )
A particle moves along a horizontal line. Its position function is s(t) for t is greater than or equal to 0. For each problem, find the velocity function v(t) and the acceleration function a(t).
1. s(t) = -t^4 + 12t^3
2. s(t) = -t^4 + 8t^3
Answer:
1) Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Step-by-step explanation:
From Physics we remember that velocity ([tex]v(t)[/tex]) and acceleration ([tex]a(t)[/tex]) are the first and second derivatives of the function position in time. That is:
1) Let [tex]s(t) = -t^{4}+12\cdot t^{3}[/tex], where [tex]t \ge 0[/tex]. The functions velocity and aceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Let [tex]s(t) = -t^{4}+8\cdot t^{3}[/tex], where [tex]t\ge 0[/tex]. The functions velocity and acceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Simplify the following expression:
4n − m + 3p + 2m − n − p
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4n−m+3p+2m−n−p Equation
Step 2
4n−m+3p+2m−n−p Simplify by combining terms
(-m+2m)+(4n+-n)+(3p+-p)
Step 3
(-m+2m)+(4n+-n)+(3p+-p) Add them together
m+3n+2p
Answer
m+3n+2p
Please help for brainliest
Answer:
I think it is C.
Step-by-step explanation:
Please mark brainliest I am knew at this
Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.
Answer:
9514 1404 393
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeee pokimain soo howt :)
Using the substitution method, Vito is solving the following system of equations algebraically:
y + 3x =-4
2x – 3y =-21
Which equivalent equation could Vito use?
A) 2(-3x - 4) + 3x =- 21
B) 2(3x - 4) + 3x =- 21
C) 2x - 3(-3x – 4) =- 21
D) 2x - 3(3x - 4) =- 21
Answer:
The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]
Step-by-step explanation:
The given equations are:
[tex]y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2[/tex]
The equations have to be solved using substitution method. In substitution method we find the value of a variable from one equation and put it in the other equation.
To find the value, we usually choose the equation in which a variable without any coefficient is available.
From equation 1
[tex]y +3x = -4\\y = -3x-4\\[/tex]
This value of y will be put in equation 2
[tex]2x-3(-3x-4)=-21[/tex]
It is the C option in choices
Hence,
The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]
Answer:
Hey, where did you get this question? Do you have answer key of this worksheets all things I need it to.
Step-by-step explanation:
For what value of x is JKLM a parallelogram?
A. 7
B. 14
C. 21
D. 28
The required value of x in the JKLM parallelogram is 21. Option C is correct.
Given that,
For a parallelogram, JKLM, the value of x is to be determined.
A parallelogram is a quadrilateral consisting of pairs of parallel sides.
Here,
For the parallelogram, the sum of the adjacent angle is 180°. So,
3x + 20 + 5x - 8 = 180
8x = 180 - 12
x = 168 / 8
x = 21
Thus, the required value of x in the JKLM parallelogram is 21. Option C is correct.
Learn more about parallelograms here: https://brainly.com/question/14984005
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Click on all the coordinate pairs that are solutions to y =2x^2 + 3x + 1.
A(0,1)
B( 1,0)
D (1,6)
C(2,11)
D(2, 15)
Answer:
I think it’s A C E
Step-by-step explanation:
In a right triangle, if the length of one leg is 3 cm and the length of the other leg is 4 cm, what is the length of the hypotenuse?
A. 5 cm
B. 3 cm
C. 4 cm
D. 35 cm
Answer: 5 cm
Step-by-step explanation:
9 + 16 = c^225 = c^2[tex]\sqrt{25[/tex] = c5 = cAnswer:
5
Step-by-step explanation:
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Answer:
125 meters
Step-by-step explanation:
Let distance = d and time is t
Using the variation;
d = k t^2
So let’s us get k
80 = k * 4*2
16k = 80
k = 80/16 = 5
So for 5 seconds, the distance would be;
d = 5 * 5^2
d = 125 meters
Fill in the missing values
in the table below:
Based on the information the values in the table will be:
20 35
4. 7
15. 21
What's proportion?In mathematics, proportions refer to the equality of two ratios. A ratio is a comparison of two quantities, typically expressed as a fraction. When two ratios are equal to each other, they form a proportion.
A proportion can be written in the form:
a/b = c/d
Here, "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio. The proportions state that the ratio of "a" to "b" is equal to the ratio of "c" to "d".
20/35 × 7
= 4
Learn more about proportion
https://brainly.com/question/1496357
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a number. n, plus 10 is less than 34
Answer:
N+10<34
Step-by-step explanation:
I think that's the answer if it's asking you to write an equation.
which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x
Answer:
6x +15
Step-by-step explanation:
Out of the 20 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's
class have a pet?
The percent of students in Mrs. Green's class that have a pet is _____
%.
The number of snowboarding accidents reported weekly during one winter season at the Fun
Mountain Resort:
12, 15, 6, 8, 12, 17, 10, 8, 7, 13, 14, 16, 8, 18, 11
Whats the mean?
Answer:
11.7
Step-by-step explanation:
add all the numbers then divide the answer with the number of how many numbers they are
12 +15+ 6+ 8 +12+17 +10+8+ 7+ 13+ 14 +16 +8+18+11=175
175/15=11.6666666667
round the answer to the nearest whole number=11.7
What is 30 percent off of 70?
Please explain why and how
Answer:
49
Step-by-step explanation:
10% of 70 is 7
multiply that by 3 = 21
70 - 21 = 49
Mr. Parkers class has created a list of different ways heat transfer happens in Earths systems. The list is shown here.
Answer:
I'm sorry but I don't see the list
Step-by-step explanation:
Helpppp plzzzzzzzzzz
Given:
Two numbers are 32 and 28.
To find:
The GCF of 32 and 28 and using the GCF find the factor of (32-28).
Solution:
(a)
Two numbers are 32 and 28. The factor form of given numbers are:
[tex]32=2\times 2\times 2\times 2\times 2[/tex]
[tex]28=2\times 2\times 7[/tex]
Clearly, 2 and 2 are common factors in both.
[tex]GCF(32,28)=2\times 2[/tex]
[tex]GCF(32,28)=4[/tex]
Therefore, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
[tex]32-28=4\times 8-4\times 7[/tex]
Taking out the GCF, we get
[tex]32-28=4\times (8-7)[/tex]
Therefore, [tex]32-28=4\times (8-7)[/tex].
Help pleaseee I need to answer this!!!
Answer:
a is your answer
Step-by-step explanation:
;)
Which equation has an infinite number of solutions?
O A. 7(1 - 4x) + 3x = 7
B. 5(2 - 4x) + 4x = 10
C. 8(2 - 2x) + 16x = 9
D. 6(3 - 2x) + 12x = 18
Answer:
b
Step-by-step explanation:
I need help please- I’ll give BRAINLIEST for the right answer?
Answer:
c = 29
Step-by-step explanation
heeyyyy I know this question was posted a long time ago, but uhhhhhh I felt like answering anyways sooooooo
Ok, so since the angle across from b is 97˚, that means b is 97˚ as well.
So then we have 54 + 97 + c = 180
151 + c = 180
c = 29
I need help someone help me
Answer:
Hey! So I think the answer is A! I'm so sorry if its wrong, I'm trying to get points so could you mark me as brainliest? Bye and stay safe!! <3
Step-by-step explanation:
Find an equivalent ratio in simplest terms:
54 : 70
Answer:
27/35.
I can break it down for you to understand if u want.
Step-by-step explanation:
Answer:
27/35
Step-by-step explanation:
Paula had read 25% of the total pages in a book she is reading for english class. Paula had read 84 pages. Write an equation to determine how many pages are in the book and how many pages she has read.
Answer:84
84*4=336
Step-by-step explanation:
25% of 336 is 84
can you guys please help.
Answer:
The saturday median is equal to the sunday median.
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Aubrey is using a kitchen scale to weigh some chicken. Her scale only gives weight in grams and she needs to know the weight in pounds. The scale displays 5,042 grams. What is the weight in pounds?
Answer:
11.1157073 lbs
Step-by-step explanation:
the ratio of boys to girls in a class is 3:5. how many girls if there are 27 boys
Answer:
45 girls
Step-by-step explanation:
since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls
90% as a fraction. 3/100. 9/100. 90/100
Answer:
90/100
Step-by-step explanation:
percentages are fractions out of 100
Answer:
90/100
Step-by-step explanation:
90/100 is the same as 0.9, which is the same thing as 90%!
Hope it helps!
Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price she paid for the shirt (including the cost of shipping). What is the selling price of each T-shirt?
Answer: She should sell each T-Shirt for at least $4.41
Step-by-step explanation:
First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt
What is 82,711 in expanded
form
Answer:
80000+2000+700+10+1
Step-by-step explanation:
Answer: 80,000+2,000+700+10+1
Step-by-step explanation:
Simplify this fraction:
35 56
Answer:
5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
HOPE THIS HELPS!!!