Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133
Answer:
probably C
Step-by-step explanation:
The question can be written as:
8 * 1.032^n = 140 000, this can be rearranged to
140 000/8 = 17500 = 1.032^n
now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]
example of log
2^3 = 8
log2 (8) = 3
log1.032 (17500) = 310.17
a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?
Answer:
8 yards
Step-by-step explanation:
/\
/ \
/ \
----------
/ and \ = 8
_ = 10
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
36 is 18% of what number?
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
:/
I hope
Find the perimeter of the given figure, help please!
Answer:
22.5 cm
Step-by-step explanation:
P=2(6.75)+2(4.5)
P=13.5+9
What is a positive data set on a graph?
Answer:
when the dot's go left to right going upwards
Step-by-step explanation:
Help!! I have 55 seconds to do this
Answer:
the answer is A
Step-by-step explanation:
78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer
sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
X=
Y=
The polygons to the right are similar. Find the value of each variable
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).
Answer:
10/10
Step-by-step explanation:
Ez..........................................................
x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?
Answer:
(10,6)
Step-by-step explanation:
1. Rearrange
x-y=4
y=x-4
y-8=-2
y=6
2. Graph
The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2
Based on the test scores of the students, Cindy's z-score on the science test is 2.2
How to determine the z-score of Cindy?We start by calculating the mean of the scores using:
Mean =Sum/Count
So, we have:
Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10
Mean = 84
Using a statistical calculator, the standard deviation is:
Standard deviation = 7.35
The z-score is then calculated using:
z = (x - mean)/standard deviation
Cindy's score is 100.
So, we have:
z = (100 - 84)/7.35
Evaluate
z = 2.2
Hence, Cindy's z-score on the science test is 2.2
Read more about z-scores at:
https://brainly.com/question/25638875
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Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
Answer:
Step-by-step explanation:
need help will give brainliest
Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)
Answer:
7.) c
8.) 5.9
9.) 8.78
10.) 8.778
if im wrong let me know
Step-by-step explanation:
Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.
Answer:
Frx8txutxitxigxtix7fv7t8citcti
3√x^2
I need to write this as a fractional exponent.
[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]
[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]
I do not know which one you mean but still one of them is still your answer. :)
i need help with this question
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
how to slove
y=15x+12
Answer:
0
Step-by-step explanation:
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
Please help me find the answer ASAP
Answer:C Because there the same sides
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
brainly.com/question/25834626
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what is the answer??? Please help me!
16% of 40 =
Answer:
16/100*40
32/2
lol so simple
gg
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9