Answer:
x = 3
y = -2
--------------------------------------------------------------------------------------------------------
4x + 5y = 2........i
2x + 3y = 0........ii
---------------------------------------------------------------------------------------------------------
Let's start by eliminating x, so we multiply i by 2 and ii by 4
2|4x + 5y = 2
4|2x + 3y = 0
So that we have
8x + 10y = 4..........iii
8x + 12y = 0..........iv
---------------------------------------------------------------------------------------------------
Subtracting iv from III, we have
-2y = 4
y = 4/-2
y = -2
---------------------------------------------------------------------------------------------------
Going ahead and substituting this value of y in eqn i, we have
4x + 5(-2) = 2
4x - 10 = 2
4x = 2 + 10
4x = 12
x = 12/4
x = 3
Step-by-step explanation: hope this helps, brainliest please <3
The number of chips of different colors in Kathy's bag is shown below:
9 blue chips
5 pink chips
6 white chips
Kathy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag.
Part A--What is the probability that Kathy takes out a white chip in both draws? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part B--Is this scenario an independent event or dependent event? Explain.
Part C--What is the probability that Kathy takes out a blue chip in the first draw, and then a pink chip in the second draw? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part D--Is this scenario an independent event or dependent event? Explain
Giving brainlest pls awnser quick
Answer:
problem 8= 769.3
problem 16=A
problem 11= independent-x , dependent-y
problem 12= independent- s , dependent- v
problem 17= C
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1
Answer:
⇒ A. 2 should be distributed as 2y + 12, y = 6Step-by-step explanation:
Here are the steps to solve this equation:
Given:
First step: 2(y+6)-4y
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC2(y+6)
2*y=2y
2*6=12
2y+12
Isolate the term of y from one side of the equations.
2y+12=4y
Subtract by 12 from both sides.
2y+12-12=4y-12
Solve.
2y=4y-12
Then, you subtract by 4y from both sides.
2y-4y=4y-12-4y
Solve.
2y-4y=-2y
-2y=-12
Divide by -2 from both sides.
[tex]\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}[/tex]
Solve.
Divide the numbers from left to right.
Solutions:
-12/-2=6
[tex]\Longrightarrow: \boxed{\sf{y=6}}[/tex]
Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".I hope this helps. Let me know if you have any questions.
Evaluate 7a-5b when a=3 and b=4
I need help on this ASAP so please help
Answer:
it’s 8 and 2 and 4 and 0
Step-by-step explanation:
this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer
4) Look at this set of 5 numbers: 5 3 5 3 4
By how much would the mean increase if the number 8 replaced one of the 3's in the
set?
==========================================================
Explanation:
To compute the mean, we first add up the numbers
5+3+5+3+4 = 20
Then divide by 5 since there are 5 numbers in the set
20/5 = 4
The mean is 4.
---------------
Now replace one of the '3's with 8 and recompute the mean
5+8+5+3+4 = 25
25/5 = 5
The mean is now 5.
The old mean in the previous section was 4.
The mean has increased by 1 since 5-4 = 1.
Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.
Answer:
1
Step-by-step explanation:
Mean=Sum of terms/ No.of terms
→5+3+5+3+4/5
20/5=4
If we replace 3 as 8 in one of the place values, Then:5+3+5+8+4/5=25/5
→5
Increment= 5-4=1
THUS, 1 is increased.
THANKYOU
PLEASE MARK ME AS THE BRAINLIEST PLEASE BYE FOR NOW.
Help! 2a+2b=360
a) a = 60 degrees
b) a= 75 degrees
use algebra to solve for b
Answer:
2(60)+2b=360
120+2b=360
2b=360-120
2b/2=240/2
b=120
Please solve with explanation
Answer:
[tex]\textsf{a)}\quad y=8x^2+2x-3[/tex]
[tex]\textsf{b)}\quad y=x^2-2x-4[/tex]
Step-by-step explanation:
Given information:
[tex]x^2+bx+c=0[/tex]
[tex]x_1+x_2=-b[/tex]
[tex]x_1x_2=c[/tex]
Part (a)
[tex]\textsf{If}\quad x_1=\dfrac12\quad\textsf{and}\quad x_2=-\dfrac34[/tex]
[tex]\begin{aligned}\implies -b & =\dfrac12+\left(-\dfrac34\right)\\ & = \dfrac24-\dfrac34\\ & =-\dfrac14\end{aligned}[/tex]
[tex]\begin{aligned}\implies c & =\dfrac12 \cdot \left(-\dfrac34\right)\\ & = \dfrac{1 (-3)}{2 \cdot 4}\\ & =-\dfrac38\end{aligned}[/tex]
Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]
[tex]\implies x^2+\dfrac14x-\dfrac38=0[/tex]
Multiply both sides by 8 so that coefficients are integers:
[tex]\implies 8x^2+2x-3=0[/tex]
Therefore, the final quadratic equation is:
[tex]y=8x^2+2x-3[/tex]
----------------------------------------------------------------------------------------------
Part (b)
[tex]\textsf{If}\quad x_1=1+\sqrt{5}\quad\textsf{and}\quad x_2=1-\sqrt{5}[/tex]
[tex]\begin{aligned}\implies -b & =(1+\sqrt{5})+(1-\sqrt{5})\\ & = 1+1+\sqrt{5}-\sqrt{5}\\ & =2\end{aligned}[/tex]
[tex]\begin{aligned}\implies c & =(1+\sqrt{5})(1-\sqrt{5})\\ & = 1-\sqrt{5}+\sqrt{5}-5\\ & =-4\end{aligned}[/tex]
Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]
[tex]\implies x^2-2x-4=0[/tex]
Therefore, the final quadratic equation is:
[tex]y=x^2-2x-4[/tex]
Consider the following equation.
x + 5y = 10
Step 1 of 2: Determine the missing coordinate in the ordered pair (10, ?) so that it will satisfy the given equation.
Answer:
y = 0
Step-by-step explanation:
Plug 10 in for x, and solve for y.
10 + 5y = 10
5y = 0
y = 0
what is the standard form for ( 4 × 10 ) + ( 3 × 1 100 ) + ( 5 × 1 1000 )
The standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have expression:
= (4 × 10) + (3 × 1/100) + (5 × 1/1000)
= 40 + 0.03 + 0.005
= 40.035
Thus, the standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035
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Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above
Answer:
E) None of the above
Step-by-step explanation:
Given [tex]f(x)=\sqrt{x}[/tex] and [tex]g(x)=x+2[/tex], then [tex]f(g(x))=\sqrt{x+2}[/tex]. This shifts the graph of the parent function [tex]f(x)=\sqrt{x}[/tex] 2 units to the left. Thus, the domain of the function is [tex][-2,\infty)[/tex], making none of the above true.
The domain of f(g(x)) is all real numbers x such that x ≥ -2.
Hence, Option e is correct.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, To find the domain of f(g(x)), we need to first determine the domain of g(x).
Since, g(x) is a polynomial function,
And, we know that it is defined for all real numbers.
Therefore, the domain of g(x) is (-∞, ∞).
Next, we need to find the domain of f(g(x)), which means we need to determine which values of x make g(x) a valid input for f(x).
Since, f(x) is defined only for non-negative real numbers, we need to ensure that g(x) is a non-negative real number.
Therefore, we set the inequality g(x) ≥ 0 and solve for x:
x + 2 ≥ 0
x ≥ -2
So, The domain of f(g(x)) is all real numbers x such that x ≥ -2.
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-5x-y= 8
-4x+y=2 solve the system
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
1.[tex]- 5x - y = 8[/tex]
Solve for x[tex]-5x-y=8[/tex]
[tex]-5x=8+y [/tex]
[tex]-5x=y+8 [/tex]
[tex]\frac{-5x}{-5}=\frac{y+8}{-5} [/tex]
[tex]x=\frac{y+8}{-5} [/tex]
[tex]x=\frac{-y-8}{5} [/tex]
Solve for y[tex]-5x-y=8[/tex]
[tex]-y=8+5x [/tex]
[tex]-y=5x+8 [/tex]
[tex]\frac{-y}{-1}=\frac{5x+8}{-1} [/tex]
[tex]y=\frac{5x+8}{-1} [/tex]
[tex]y=-5x-8 [/tex]
────────────────────
2.[tex]-4x-y=2 [/tex]
Solve for x[tex]-4x-y=2 [/tex]
[tex]-4x=2+y [/tex]
[tex]-4x=y+2 [/tex]
[tex]\frac{-4x}{-4}=\frac{y+2}{-4} [/tex]
[tex]x=\frac{y+2}{-4} [/tex]
[tex]x=-\frac{y}{4}-\frac{1}{2} [/tex]
Solve for y[tex]-4x-y=2[/tex]
[tex]-y=2+4x [/tex]
[tex]-y=4x+2 [/tex]
[tex]\frac{-y}{-1}=\frac{4x+2}{-1} [/tex]
[tex]y=\frac{4x+2}{-1} [/tex]
[tex]y=-4x-2 [/tex]
════════════════════
Explanation:
#Carry on learning
a) Find the value of 2x + y when x = 4 and y = 3
Answer:
11
Step-by-step explanation:
x = 4
2x
= 2 * 4
= 8
y = 3
2x + y
= 8 + 3
= 11
Can someone please answer number 7. The first question. Pleaseeeeee
Answer:
0
Step-by-step explanation:
5^2-4(5)-5=2(5)-10
0=0
Answer:
(3) {5,7}
Step-by-step explanation
135 people voted for it on gauth math
IF CORRECT ILL MARK BRAINLIEST!
USE THE NET TO FIND THE SURFACE AREA OF THE REGULAR PYRAMID
Answer:
275.63 mm^2
Step-by-step explanation:
The measurements of the pyramids are
Edge length: 10
Egde width: 8.66 (because 10x8.66/2 = 43.3)
Height: 9
To find the surface area, use this formula, and you will get 275.63:
How many minutes did it take for the fastest makeup artist to paints
Answer:
Joaquin Phoenix Has the Fastest Joker Makeup at Just 15 Minutes.
HELP PLS A circular hole has been drilled through a cylinder as shown. What is the approximate volume of the remaining solid? Use 3.14 for π
Answer:
The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.
Step-by-step explanation:
The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.
Answer:
126
Step-by-step explanation:
[tex]V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7[/tex]
[tex]V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
take it again, it's so blur
Help me please!!!!!!!!!!!!!
Answer:
the answer is 90 degrees
Determine f(2) where f(x) =X+1/4x-2
My sis needs help asap
Answer:
c. $750
Step-by-step explanation:
the perimeter is 80m
80÷8=10
10*75=750
Question Tell whether the statement is true or false. If A is 15% of B, then B:A is 85:15. Please Help!!!
whats the mean, median, mode, range of 10, 11, 17, 14, 2, 13, 26
Answer:
Range :24
Mode: No mode
Median:13
Mean:46.5 OR 13.30
Tina and Rod are married, filing jointly. Their combined taxable income is $65,157. Every week, a total of $158 is withheld from their pay. Based on the table below, how much will Tina and Rod owe when their taxes are due? Show work.
Answer:
This is unsolvable without the graph. show me the graph and i can solve it
Step-by-step explanation:
What is the volume of the following rectangular prism?
Step-by-step explanation:
green = surface area
volume = 9/5 × 2/3
= 18/15
= 6/5 = 1.2 or 1 1/5
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
F' = (9, -1)Step-by-step explanation:
Original coordinates of F
F = (-9, -1)It is reflected across the y-axis.
Transformation of coordinates across y-axis
(x, y) ⇒ (-x, y)Therefore, on reflection, the coordinates of F' will be :
(-9, -1) ⇒ (-(-9), -1)F' = (9, -1)Does the point (3, 28) lie on the line y = 19 +3x
Answer:
Yes
Step-by-step explanation:
put point (3,28) in the above equation
28=19+3(3)
28=28
[tex]\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}[/tex]
Calculations ↓
An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :
x - coordinate : 3
y=19+3(3)
y - coordinate : 28
28 = 19 + 9
28 = 28 [tex]\Large\checkmark[/tex]
LHS = RHS
Hence the point (3, 28) does lie on the line y = 19 + 3x[tex]\footnotesize{\text{hope\:helpful}}[/tex]
solve for x: 6 < 4x + 8 < 14
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:6 < 4x + 8 < 14[/tex]
[tex]\qquad \tt \dashrightarrow \:6 - 8 < 4x + 8 - 8 < 14 - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: - 2 < 4x < 6[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 2}{4} < \dfrac{4x}{4} < \dfrac{6}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 1}{2} < {x}{} < \dfrac{3}{2} [/tex]
hope it helps ~
Given the g(x)=x2-6x-16 which statement is true
Answer:
The zeros are -2 and 8, because the factors of g are (x+2) and (x-8).
Step-by-step explanation:
A group of friends are canoeing along a river. They want to travel upstream 1.5 km, then travel back downstream back to their original starting point. The river has a current of 6km / h * r If the distance equation to find the time to travel upstream is time = and the equation to (velocitycurrenty distance travel downstream is time = ( velocity current) How fast should the canoe be traveling to complete the journey in 6 hours ? b. If the journey upstream ends up taking twice as long as the journey downstream, how fast did the canoe travel ?
Using the relation between velocity, distance and time, it is found that:
a) The canoe should be traveling at a rate of 37.5 km/h.b) The canoe traveled at a rate of 6.124 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Item a:
1.5 km in 6 hours, with a velocity of vc - 6, in which vc is the velocity of the canoe and 6 km/h is the velocity of the current, so:
[tex]vc - 6 = \frac{1.5}{6}[/tex]
vc - 36 = 1.5
vc = 37.5.
The canoe should be traveling at a rate of 37.5 km/h.
Item b:
Upstream, the velocity is given by vc - 6, as it is against the stream, hence:
[tex]vc - 6 = \frac{1.5}{2t}[/tex]
[tex]t(vc - 6) = \frac{1.5}{2}[/tex]
[tex]t = \frac{1.5}{2vc - 12}[/tex]
Downstream, we have that:
[tex]vc + 6 = \frac{1.5}{2(\frac{1.5}{2vc - 12})}[/tex]
[tex]vc + 6 = \frac{1.5}{vc - 6}[/tex]
[tex]vc^2 - 36 = 1.5[/tex]
[tex]vc = \sqrt{37.5}[/tex]
vc = 6.124.
The canoe traveled at a rate of 6.124 km/h.
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Answer:
dfgd
Step-by-step explanation:
sdfg