6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
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Answer:
Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:
[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.
(I know, dividing by 3 both sides of the equations would have made the whole process way easier).
Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.
Write 0.511 as a fraction.
Answer:
511 / 1000
Step-by-step explanation:
0.511 = 511 / 1000
Answer:
511/1000Step-by-step explanation:
Steps to convert 0.511 into a fraction:
Write 0.511 as 0.511/1
For each digit following the decimal point, multiply both the numerator and denominator by ten:
0.511/1
= 0.511 * 1000/ 1 * 1000 = 511/1000As an aside, the entire number-integral section is: blank.
The decimal component is as follows: 0.511 = 511/1000
The following is the complete breakdown of simple fractions: 511/1000
If f(x)=|x−5|+2, find f(3).
Answer:
4
Step-by-step explanation:
Substitute 3 for x and solve.
|3 - 5| + 2
=|-2| + 2
= 2 + 2 = 4
Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).
Answer:
0.14479638
Step-by-step explanation:
Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,
Combination of drawing 1 ace of 4 total aces C(4,1)
Combination of drawing 1 non-ace of 48 total non aces C(48,1)
Combination of drawing 2 cards of total 52 cards C(52.2)
C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326
4*48/1326 = 0.14479638
Please help with Exponential Problem !!!
Answer:
D) f(3) = 54
Step-by-step explanation:
f(3) = 2 x 3^3
f(3) = 2 x 27
f(3) = 54
Hope this helps! Pls give brainliest!
Answer:
D
Step-by-step explanation:
first you need to do the exponent and you substitute the 3 in for ex
so 3^3=27
then you multiply it by 2 to get 54
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:
the answer is A .
Step-by-step explanation:
-2x+y=3 ----> 2x - y = -3
6x=9-3y
6x + 3y = 9
divide by 3 ,
2x + y = 3
Since the slopes are different, they will intersect.
So ONE solution.
Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.
Answer:
72 mph
Step-by-step explanation:
i did this on achievemath3000 and 72 was the answer
A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?
The domain of the graph is [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].
The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.For the graph, the domain will be the values of the graph along the x-axis.
Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.Learn more on domain and range here: https://brainly.com/question/1942755
If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.
What is the expression that shows how many extra credit points Mona earned?
How many terms are in the expression?
Identify the slope and the y- intercept, as a point (0,b), from the equation.
Y=2/5x-11
Slope -
Y-intercept -
Step-by-step explanation:
Given line:
y = 2/5x - 11Compare this with the slope-intercept form:
y = mx + bThe slope is:
m = 2/5Y-intercept is:
b = - 11As a point on the line it has coordinates (0, - 11)
Answer:
Hope this helps!
Step-by-step explanation:
The slope is:
m = 2/5
Y-intercept is:
b = - 11
The coordinates on the line are: (0, - 11)
Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]
[tex]\huge \sf༆ Answer ༄[/tex]
The value of x is ~
[tex] \sf \: 83[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex][tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex][tex] \sf \: log_{3}(x - 2) = 4[/tex][tex]x - 2 = {(3)}^{4} [/tex][tex]x - 2= 81[/tex][tex]x = 81 + 2[/tex][tex]x = 83[/tex]You're welcome spammy ~
The value of x from the given expression is 5
Laws of logarithmGiven the logarithm expression
[tex]-6log_3(x-2)=-24[/tex]According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]
Applying this law to the given question, we can see that:
[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]
Cancel out the exponents to have:
x - 2 = 3
x = 2 + 3
x = 5
Hence the value of x is 5
Learn more on logarithm here; https://brainly.com/question/25710806
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answer: Give me the table and ill answer..
Step-by-step explanation:
What’s is 43-14 as a percent
Kris and his dad built an ice rink. The area is 74.4 sq meters. The length is 12 meters what is the width
Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2
316=5
459=6
248=4
739=?
Answe
i think it's 9
Step-by-step explanation:
316 fỉst number is 3 +2 =5
459 first number is 4+2=6
2+2=4
7+2=9:)))
y=sech(tan‐¹x) find the derivative
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
7 grade math hellp mee
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
88π
Rational or irrational
Good answer i mark brainlest
Answer:
Irrational
Step-by-step explanation:
The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.
Answer:
IrrationalStep-by-step explanation:
π is irrational and 88 is rational number.
The product of the two is irrational.
Solve for x.
5(x−4)2=4x+14
x = 9
x = 8
x=−6
x=−16
Answer:
9 is the answer.
Step-by-step explanation:
5(x − 4)2 = 4x + 14
=> 10x - 40 = 4x + 14
=> 6x = 54
=> x = 9
Therefore, 9 is the answer.
Hoped this helped.
The value of the x after solving the equation 5 (x - 4) 2 = 4x + 14 is x = 9.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given linear equation,
5 (x - 4) 2 = 4x + 14
5 × 2 (x - 4) = 4x + 14
10 (x - 4) = 4x + 14
By distributive property, p (q + r) = p q + p r
10x - (10 × 4) = 4x + 14
10x - 40 = 4x + 14
10x - 4x = 14 + 40
6x = 54
x = 54 / 6
x = 9
Hence the value of x is 9.
To learn more about Linear Equations, click on the link given below :
https://brainly.com/question/11897796
#SPJ2
Which expression is equivalent to squareroot 100?
A10
B10^2
C50
D50^2
Answer:
10^2=100
because all u would do is put down 10 two times and then u just multiply those 2 numbers
Step-by-step explanation:
please help ill mark brainliest
The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
Learn more here: https://brainly.com/question/24258397
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
A runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday's distance was her Tuesday's distance? Please help me I need an answer that makes sense
If a trailer carries 625 gags of cocoa. How many bags will 265 trailers carry?
Answer:
165,625 bags of cocoa.
Step-by-step explanation:
One trailer = 625 bags of cocoa, and if you have 265 trailers it means you will have to multiply 625 by 265.
-2.7f + 0.3f - 16 - 4=
Answer:
-2.4f or -8 1/3
Step-by-step explanation:
I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20
If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?
MARKING AS BRAINLIEST!!
Answer: They are inverses of each other
============================================================
Explanation:
We need to check two things:
f(g(x)) = xg(f(x)) = xIf both of those equations are true, then f and g are inverses of each other.
----------------
Part 1
[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]
So far, so good. Now we need to check the other equation mentioned.
------------------
Part 2
[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]
That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.
Here is the list of numbers.
5
11
16
24
29
From the list, write down a multiple of 3.
Plz write down the answer.
Answer:
From the list the multiple of 3 is 24