Answers
Answer:
(5,-3)
Step-by-step explanation:
We can substitute the y in the second equation by the first equation:
2x+3(x-8)=1->
2x+3x-24=1 ->
5x-24=1 ->
5x=25 ->
x=5.
Then solve for y in the first equation:
y=5-8 ->
y=-3.
So the first is correct:
(5, -3)
Hope that helps! :)
Answer:
First option: (5,-3)
Step-by-step explanation:
First turn the second equation to slope intercept form (y=mx+b):
Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.
Now you can graph both, and the solution would be the point that intercepts both of these lines.
(Here it is graphed above for you⤴⤴⤴)
Hope this helps :)
Related Questions
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
Answers
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
Write the slope-intercept form of the equation of the line that has slope -9 and passes
through the point (4,6).
Answers
Answer:
y = - 9x + 42
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 9 , then
y = - 9x + c ← is the partial equation
To find c substitute (4, 6 ) into the partial equation
6 = - 36 + c ⇒ c = 6 + 36 = 42
y = - 9x + 42 ← equation of line
Is 4/9 equivalent to 8/16
Answers
Answer in the picture.
Can someone help me with this one. I got it wrong
Answers
Answer:
I believe the answer is D
Step-by-step explanation:
Robert climbed 775 step in 12 1/2 minutes.
How many steps did he average per minute?
Answers
775/12 1/2 = 775/12.5 = 62
you can use long division to solve this as well
Answer:
62
Step-by-step explanation:
775 steps divided by 12.5 minutes is 62 steps per minute.
1A. Tính:
a) ( -14) + 5 + 17 + 14 b) 40 +13 + ( -25) + ( -13)
c) ( -5) + ( -146)+ ( -15) + 14 d) ( -2) + (-5) + 20 + (- 13)
Answers
Answer:
7868
Step-by-step explanation:
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
Group of answer choices
Answers
Answer:
31.35%
Step-by-step explanation:
Initial reading:In the box, there are:
6 Black pens4 blue pens7 red pensTotal number of pens in the box = 6 + 4 + 7
= 17
If we count pens as outcomes the total number of possible outcomes are 17.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
New reading:Clarissa takes out a black pen from the box.
That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.
So now:
Number of black pens = 6 - 1 = 5 Total number of pens = 17 - 1 = 16- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Probability:[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]
If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.
That makes it,
the number of favorable outcomes = number of black pens= 5
and total outcomes = Total number of pens= 16
[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]
For showing it as some percent we'll just multiply the fraction by 100
[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
As a percent:[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]
how do you even do this?! i’m so confused
Answers
Answer:
D.
Step-by-step explanation:
Pretend the y-axis is a wall, on the left side it is decreasing and on the right it is increasing, so A. and B. aren't correct. C. and D. are left, x<0 means on the left side of the y-axis because x (any number) is less than 0 and on the left side it is decreasing so C. isn't correct so D. is your answer because x>0 means x is greater than 0 so it's on the left side of the y-axis.
I hope this helps!
if 9^x = 1/27, find the value of x
Answers
[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]
You’re writing a novel.If you write 5 pages every 2 days,how long will it take you to write a 250 page novel?
Answers
Answer:
100 days
Step-by-step explanation:
You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.
Because 5x50 is 250 which is the amount of pagesand 2x50 is 100 which is the amount of days
What was the frequency of rolling a sum greater than 5?
Answers
Answer:
on a 6-sided dice, 1/6
Step-by-step explanation:
I desperately need this answer. Thank You so much and have a great day
Answers
Answer:
D
Step-by-step explanation:
p(t)=2t+5
p(10)=2(10)+5
p(10)=20+5
p(10)=25
please give me a brainliest since this took a lot of thinking
What is the slope of the line with equation 2x−5y=52?
Answers
Answer:
m = 2/5
Step-by-step explanation:
2x - 5y = 52
-5y = -2x + 52
y = 2/5x - 52/5
The slope of the line with equation 2x−5y=52 is 2/5.
The given equation of line is 2x−5y=52.
What is the slope of a equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The given equation 2x−5y=52 can be rewritten as
2x-52=5y
⇒ y = 2x/5-52/5
Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c
So, m=2/5
Therefore, the slope of the line with equation 2x−5y=52 is 2/5.
To learn more about the slope of an equation visit:
https://brainly.com/question/13496015.
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12. A shoebox has a volume of 456 cm3 and a mass of 114 g. What is its
density?
Answers
Answer:
114.0g/538.5cm^3=0.2117 glcm^3
Step-by-step explanation:
Solve pls brainliest
Answers
Answer:
a is 0.085 b is 19.6%
Step-by-step explanation:
1% = 0.01 so 8.5 = 0.085
0.20 = 20% so 0.196 = 19.6%
A square carpet covers 75% of the area of the floor.The floor is 8 meters by 8 meters. (a) What are the dimensions of the carpet? (b) What area of the floor is not covered by carpet?
Answers
Answer:
The dimensions of the carpet are 4√3m by 4√3m.
16m² are not covered by the carpet.
Step-by-step explanation:
The area of an 8m by 8m floor is 64m².
[tex]8*8=64[/tex]
A)
First, 75% of that area is 48m².
[tex]64*0.75=48[/tex]
Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.
[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]
There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.
The 2 solutions are:
[tex]x=6.9282...\\x=4\sqrt{3}[/tex]
The dimensions of the carpet are 4√3m by 4√3m.
B)
Now to find the area that is not covered, just subtract the area that is covered from the total.
[tex]64-48=16[/tex]
16m² are not covered by the carpet.
Evaluate the expression for b= 12
Answers
Answer:
-5
Step-by-step explanation:
substitute -b for -12 and add 7
What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?
Answers
Answer:
The radius is 4.7 units.
Step-by-step explanation:
To answer this we need only find the square root of 22.09: 4.7
The radius is 4.7 units.
Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Answers
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
50 POINTS
Consider this equation: 2/3x - 9 - 2x+2=1
Which is an equivalent equation after combining like terms?
O 8/3x - 11 = 1
O -4/3x - 7 = 1
O 8/3x - 7 = 1
O -4/3x - 11 = 1
Answers
Answer:
-4/3x-7=1
Step-by-step explanation:
just combine like terms
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement
Answers
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
Learn more about the unitary method;
https://brainly.com/question/23423168
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Someone please help with my STAT homework PLEASE I will give brainliest
Answers
Hi there!
a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.
b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground (ex: noise, crowd, etc.) in comparison to those on higher floors.
write the following equations in the statement form...
1) 2a + 7 =15
pls ans fast but as statement form
Answers
Answer:
4 or 2 times unknown number added with 7 it gives 15
Step-by-step explanation:
2a+7=15
2a=15-7
2a=8
a=4
Answer:
2a+7=15
2a=15-7
2a=8
2a/2=8/2
a=4
5/6 divided by [13/11]
Answers
Answer:
0.70512820512 round to the nearest hunderth
Step-by-step explanation:
Î"RST was _____________, then dilated, to create Î"ZXY. Rotated reflected translated dilated.
Answers
Answer:
5
Step-by-step explanation:
What is the inverse of g(x)=-2/x-8
Answers
ang mga gan yan Hindi ko alam Kase may mudule din ako bb
how do you do this? appreciated for your help
Answers
Answer:
1/20 E
Step-by-step explanation:
11.74 - 11.69 = .05
.05 =1/20
Answer:
E. 1/ 20 seconds
Step-by-step explanation:
The distance covered by both the athletes is the same.
So, calculating the difference between their times:
Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 secondsDIFFERENCE:That means, Luis completed the race before Bryan, and the difference between their times is:
= 11.74 - 11.69
= 0.05 seconds
CONVERSION:To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )
[tex]=0.05 \times \frac{100}{100}[/tex]
[tex]= \frac{5}{100}[/tex]
5's a common factor in both numerator and denominator hence, it cancels out
[tex]=\frac{1}{20}[/tex]
ANSWER:Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.
Which is the simplified form of the expression ? A. B. C. D.
Answers
what does the x mean in 24x?
Answers
Answer:
It means 24 X x
Step-by-step explanation:
Answer:
The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.
please help i will make you brainliest
three step equations
Answers
Answer:
6:
x= 6(y−2)/5
8:a=−(b+c+4)
b=−(a+c+4)
Step-by-step explanation: