of equations to answer the questions.
2x + 3y = 3
y = 8 - 3x
The value of y from the second equation is substituted back into the first equation. What is the resulting eq
What is the value of x?
What is the value of y?
Da
Answers
2x + 24 -9x = 3
-7x = -21
x = 3
y = 8 - 3x
y = 8 - 3(3)
y = 8-9
y = -1
Check the math:
2(3) + 3(-1) = 6 - 3 = 3
Related Questions
⅚of the number of pupils in a class is 4 greater than three-quarters of the number in the class .find the number of pupils in the class
Answers
Answer:
48 pupils
Step-by-step explanation:
let the number of people in the class be x
⅚ of the number of pupils in a class is expressed as ⅚x
4 greater than three-quarters of the number in the class is expressed as 3/4x+4
Equating both expressions
⅚x = 3/4x + 4
5x/6 - 3x/4 = 4
(10x-9x)/12 = 4
x/12 = 4
x = 4*12
x = 48
Hence the number of pupils in the class is 48 pupils
Surface Area of 20,30,80 and combine like terms 18h + 30hk will give brainliest to correct answers
Answers
Answer:
48000 surface area and 6h(5k+3) Like Terms equation
Step-by-step explanation:
Surface Area steps
20×30×80
Multiply 20 and 30 to get 600.
600×80
Multiply 600 and 80 to get 48000.
48000
Combine Like Terms Steps
18h+30hk
Factor out 6.
6(3h+5hk)
Consider 3h+5hk. Factor out h.
h(3+5k)
Rewrite the complete factored expression.
6h(5k+3)
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answers
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
Help me pls pls pls
Answers
4y+8
Answer:
J
Step-by-step explanation:
Multiply each term in the parentheses by 4.After that you will multiply the numbers and get *4y+8*
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answers
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
The NY Jets won 45% of its games. If the team won 9 games how
many games did they lose?
a) 45
B) 20
c) 5
d) 11
Answers
Answer:
D
Step-by-step explanation:
total games 9/20x=9
x=20
so bubtarcting 9 from 20 we get 11 games which is D
if my answer helps please mark as brainliest.
Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.
Answers
Answer:
Can your provide a picture ??
AY
100
90
80
70
60
50
40
30
20
10
х
0
10 20
30 40 50 60 70 80 90 100
Answers
Answer: 849309
Step-by-step explanation:
Can someone help me solve this
And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!
Answers
Answer:
angle 6 and 5.
complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines
please help 6th grade math im new to it pleaae explain good
Answers
Answer:
0.6
Step-by-step explanation:
Given the trapezoid formula:
1/2(b1+b2/2)xH
We are given the numbers for the trapezoid:
0.3,0.9,1
To solve this here is what we are going to do.
1/2(0.9+0.3)x1
So add 0.9+0.3=1.2
Then Divide 1.2/2=0.6
So multiply 0.6 x 1=0.6
0.6 is your answer
what is 8 2/10 minus 4 1/3
Answers
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58 /15
Decimal Form:
3.8 6
Mixed Number Form:
3 13 /15
Step-by-step explanation:
=8+21−4−13
=
8
+
2
1
−
4
−
1
3
Solving the whole number parts
8−4=4
8
−
4
=
4
Solving the fraction parts
21−13=?
2
1
−
1
3
=
?
Find the LCD of 2/1 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 3
63−13=53
6
3
−
1
3
=
5
3
Simplifying the fraction part, 5/3,
53=123
5
3
=
1
2
3
Combining the whole and fraction parts
4+1+23=523
The answer is 5 2/3
Simplify 9р – 2р +р
Answers
Answer:
8P
Step-by-step explanation:
Answer:
8p
Step-by-step explanation:
9р – 2р +р
7p+p
8p
Recursive & Explicit Definitions
Given the explicit definition: tx = 2- (n-1) - 5 and that t2 = 4, find t14
Answers
Answer:
-n-2
Step-by-step explanation:
2) Will the border line of the graph of y< -22 +42 +5 be a solid line or a broken
line?
Answers
Answer:
69[tex]) ) 22 + 42 + 5 = 69 \sqrt{()xy { { \sqrt[ log_{e\% \sin( \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \infty \alpha \pi\% log( log( log( log( log( log( log( log(?) ) ) )[/tex]Match each statement with the correct reasoning in the proof below.
helpl
Answers
Answer:
When demand for goods increases - Price will rise
When supply of goods increases - Prices will fall
Step-by-step explanation:
Supply and demand function works oppositely in economy. When there is huge demand for goods and supply is short then prices will rise. This is because supply is not sufficient to meet the demand and the market is not in equilibrium position.
solve for x please, will give braknliest
Answers
Explanation: Triangles add up to 180. The two bottom points are the same. So you would take 180 and subtract it by 36. That would give you 144. You would then take 144 and divide it by 2, because the two angles are the same and your only trying to find one.
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answers
Answer:
x = 2600 seats.
Step-by-step explanation:
Let the total number of seats be x.
Given the following data;
Number of seats occupied = 1898 seats
Percentage = 73%
To find the total number of seats;
Translating the word problem into an algebraic equation, we have;
[tex] \frac {73}{100} * x = 1898 [/tex]
Cross-multiplying, we have;
[tex] 73x = 1898 * 100 [/tex]
[tex] 73x = 189800 [/tex]
[tex] x = \frac {189800}{73} [/tex]
x = 2600 seats.
Therefore, the total number of seats in the theater are 2600 seats.
Dustin is recording what kind of shoes people are wearing at the mall. He has seen 24 people
wearing boots and 63 people wearing other shoes. What is the experimental probability that
the next person Dustin sees will be wearing boots?
Simplify your answer and write it as a fraction or whole number
P(boots) =
Answers
Answer:
P=24/63
that is the probability
Step-by-step explanation:
hope helps
Please help ASAP ......
Answers
Answer:
Closed 11 shaded to the right
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
X is equal to or greater than 12
What is the solution to the expression -2-3-(-4)?
-9
-3
-1
5
Answers
Answer:
-1
Step-by-step explanation:
−2−3−(−4)
Paul placed black and white square tiles on a rectangular floor using the pattern shown below. If the entire floor measures 9 feet by 12 feet, what is the total number of black tiles that Paul used?
Answers
you have to show the pattern
Someone help me please crack this code?
Answers
Answer:
B=1 C=4 D=6 A=9
Step-by-step explanation:
Its a clock
Answer:
A = 9
B = 1
C = 4
D = 6
Step-by-step explanation:
solve the equation 3x+4=20
Answers
Answer:
x=8
Step-by-step explanation:
Answer:
3x + 4 = 20
_-_4_-_ 4_
_3x_ =_ 16_
3 3
Step-by-step explanation:
x = 16_
3
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answers
Complete question is;
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.
What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?
A) Days
B) Dollars
C) Companies
D) Workers
E) There are no units associated with the mean of the sampling distribution
Answer:
E) There are no units associated with the mean of the sampling distribution
Step-by-step explanation:
We are given;
Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62
Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71
Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;
p^_B = 0.70 and p^_C = 0.75
Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.
Thus we can conclude that p^_B - p^_C will not have any units associated with it.
The possible outcomes of the difference in proportions of the two samples
based on on the individual proportions are not associated with a unit.
The correct option for the unit of measure of the sampling distribution [tex]\hat p_B - \hat p_C[/tex] is E. There are no units associated with the mean of the sampling distribution.Reasons:
The given parameters are;
The proportion of workers of Company B who purchase coffee from the
Company B workers that purchase coffee from the cafeteria = 0.62
Company A workers that purchase coffee from the cafeteria = 0.71
Number of workers in the sample from Company B = 40
Number of workers in the sample from Company A = 40
Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71
Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75
Required:
The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]
Solution:
The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.
Therefore;
[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]
Given that the unit of the numerator and denominator are both workers,
that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not
associated with a unit.
Therefore;
The correct option is; E. There are no units associated with the mean of the sampling distribution.
Learn more here about sampling distribution of a sample proportion here:
https://brainly.com/question/14261491
Factorise completely
X^2+7x-18
Answers
Look at the screenshot below
Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.
Answers
What is 2/5 as a decimal and percent
Answers
Write the equation of the line passing through the points (-4, 5) and (4, 1).
Answers
9514 1404 393
Answer:
y = -1/2x + 3
Step-by-step explanation:
It can work to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values
y = -4/8(x +4) +5 . . . . . . . . simplify a bit
y = -1/2x -2 +5 . . . . . .eliminate parentheses
y = -1/2x +3 . . . . collect terms
What does the number of solutions of a system of linear equations represent ?
Answers
Answer:
the places where the linear graphs meet are at the same point
HELP ME PLEASE FAST!!!!!!!!!!!!!!!1
Answers
Answer:
B.
Step-by-step explanation:
B. is the answer