Answer:
The coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Step-by-step explanation:
Given the equations
[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]
solving the equations to find the solution values (coordinates)
[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]
[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]2x+3y=12[/tex]
[tex]-[/tex]
[tex]\underline{2x-4y=-2}[/tex]
[tex]7y=14[/tex]
so
[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]
solve for y
[tex]7y=14[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]
[tex]2x-4\cdot \:2=-2[/tex]
[tex]2x=6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=2[/tex]
Therefore, the coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Answer:
3,2
Step-by-step explanation:
PLEASE HURRY!
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Answer:
we cant see the question
1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box. Please help!!!!
Answer:
This is an exponential function of the form [tex]y=a(b^x)[/tex]We will use the followingy for the number of bacteria at a given timex for the timea for the starting number of bacteria, which is 700b for the base of the exponentso lets find b, we need the following:r, which will be our rate, which is 4.3% or 0.043, so[tex]b=1+r\\b=1+0.043\\b=1.043[/tex] With this info, let's substitute, and get the equation as the answer: [tex]y=700(1.043^x)[/tex] Put that into desmos, (I attached a screenshot for you)Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into decimals, (I attached a screenshot for you)
Step-by-step explanation:
The distance from point (2,1) to point (8,-7) is
BRAINLIEST + FRIEND IF U ANSWER MY QUESTION!!!
Answer:
hi :) it's the 2nd one
The last one is $30 which one ?
Answer:
it may be 30
Step-by-step explanation:
becasue 6x2 is 12 half hour $3 and kayak 15 all that is 30
Answer:
it's 30
Step-by-step explanation:
15 + 6 + 6 + 3
15+15
15 was the down payment, plus six dollars for the hours he was there and then three dollars for the half hour.
HELP ASAP!! PLEASE!!Given these two triangles, determine if they are similar and
justify your conclusion using the within ratios?
Answer:
Step-by-step explanation:
BA:AC : ED:DF
6:10 : 3:5
equals 6/10:3/5=2:1
These ratios are similar, the just double the size
Find the slope of the line that passes through (1,3) and (8,9)
Answer:
6/7
Step-by-step explanation:
★PLSSSSS HELPPPPPPPPP★
A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.
Answer:
The probability that they are all men is 0.00533
Step-by-step explanation:
Here, we want to find the probability that all winners selected are men
Total number of ticket sold is 35 + 21 = 56
What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also
So we use a combination formula;
21 C 5/ 56 C 5
= 20,349/3,819,816
The probability is; 0.00532721995
The probability that they are all men is 0.00533
What is the smallest perfect square that can be written as the sum of three different prime numbers?
Answer:
19 is the smallest prime number that is the sum of three different prime number.
Step-by-step explanation:
To find this:
2 is the only even prime number and other prime numbers are odd
adding any two prime number always gives even number.
so the least numbers that are required to do is 3,5 and 7; their sum is 15
so any prine number less than 15 is not possible for this question
so, the next prime number is 17
17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that 4,6,10,12,14,15 which are not sum of any two different prime numbers
so the answer is 19=11+5+3.
The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.
Prime numbers are numbers that can be divided by only themselves and 1.Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.
They are; 4, 9, 16, 25.
Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.Read more at; https://brainly.in/question/17539113
Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?
Answer:
fg nyg jhb jhg ewvjh
Step-by-step explanation: wedf hcx sdf hbvc
A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.
What is the probability that she will choose the three strongest swimmers?
Answer:
37.5, i think
Step-by-step explanation:
Alex says that there is no numbers between 1/3 and 1/4 . Why might he think that and what would you tell him? Is there a number that falls between these?
Answer:
Why might he think that and what would you tell him?
He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].
Is there a number that falls between these?
[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Why might he think that and what would you tell him?
He thought perhaps that numbers were formed by rational numbers of the form [tex]\frac{1}{x}[/tex], where [tex]x\in \mathbb{N}[/tex]. I would tell him that there are rational numbers [tex]\frac{y}{z}[/tex], such that [tex]\frac{1}{x}\le \frac{y}{z} \le \frac{1}{x+1}[/tex], where [tex]x[/tex], [tex]y[/tex], [tex]z \in \mathbb{N}[/tex].
Is there a number that falls between these?
Indeed, the average number of [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex], for instance. That is:
[tex]\frac{y}{z} = \frac{\frac{1}{3}+\frac{1}{4} }{2}[/tex]
[tex]\frac{y}{z} = \frac{\frac{7}{12} }{2}[/tex]
[tex]\frac{y}{z} = \frac{7}{24}[/tex]
[tex]\frac{7}{24}[/tex] is a rational number between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{4}[/tex].
................................
Answer:
i cant see the attachment for some reason
Step-by-step explanation:
The difference of twice a number and 9.
Answer:
2(9-x)
Step-by-step explanation:
Answer:
2n - 9
Step-by-step explanation:
Twice a number is referring to 2 times n or just 2n. To find the difference you would subtract 2n and 9, 2n - 9
Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?
Question 5 options:
A.The line for one equation is steeper than the other.
B.The line will move from crossing at the y-axis at 5 down to crossing the y-axis at -3
C.The y-intercepts are the same in both equations.
D.The line for each equation will be the same.
Needed A.S.A.P thank you very much!!
Answer:
Option B is correct
Step-by-step explanation:
The equation of a straight line is given as;
y = mx + b
where m is the slope and b is y-intercept
Let’s evaluate the options one after the other;
A. This is wrong as they both have same slope of 2
C. The y-intercepts are not the same
One is 5, the other is -3
D. This is wrong, the line cannot be the same
Option B is correct
The y-intercept of both varies
While 1 is already appreciated, the other is coming back
Complete the work to find the dimensions of the rectangle. w(2w + 4) = 240 2w2 + 4w = 240 2w2 + 4w – 240 = 0 2(w + 12)(w – 10) = 0 What is the width of the rectangle? What is the length of the rectangle?
Answer:
Length = 24 and width = 10
Step-by-step explanation:
Initially we start with;
w(2w + 4) = 240
Since we are dealing with a rectangle, it means that w is the width while (2w + 4) is the length.
Further more we see that;
2(w + 12)(w – 10) = 0
Thus means that;
w + 12 = 0 or w - 10 = 0
Thus,w = -12 or w = 10
Width can't be negative and so we pick w = 10
Since length = (2w + 4), then;
Length = 2(10) + 4
Length = 20 + 4 = 24
Answer:
the width is 10 cm and the length is 24cm
Step-by-step explanation:
i just did it
can anyone help me please
Answer:
No it's not prism
Step-by-step explanation:
Because it has curved side. A prism has flat side not curved side
Which situation represents a proportional relationship?*
A The cost of purchasing a gym membership is $25 per month plus a $100 joining fee
B The cost ordering Uber Eats is $3.50 per meal with a delivery charge of $5
C The cost of cell phone plan is $65 per month
D The cost of shipping a package is $1.25 per pound plus a shipping fee of $2
Answer:
c
Step-by-step explanation:
because it is just i one time fee evey month
3х+5y=14
6x-4y=9
Estimate the solution to the following system of equations by graphing
Answer:
(2.405,1.357)
Step-by-step explanation:
(2.405,1.357)
7. I sell cookies for $2 and muffins for $5. Yesterday, I made $35. I sold a total of 13 items.
How many of each did I sell?
Simplify\:p^3\div \:p^{-2}
Answer:
what is that
Step-by-step explanation:
Answer:
That isn't even a thing
Step-by-step explanation:
Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the total cost of tickets and t is the number of tickets . If Stacy brought 15 tickets she would spend how much money ?
Answer:
$52.5Step-by-step explanation:
Step one:
given data
we are given that the linear function for the cost is c=3.5t
c is the cost and
t is the number of tickets.
We are told that t=15, to find c, let us put the value of t in the linear function for the cost
[tex]c=3.5(15)\\\\c=52.5[/tex]
This shows that 15 tickets will cost $52.5
10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal
Two angles whose measures have a sum of 90° are called complimentary angles. Let x and y represent the measures of complimentary angles. Use this information and the equation given in the problem to find the measure of each angle. x = 5y
9514 1404 393
Answer:
x = 75°y = 15°Step-by-step explanation:
The correct description of the angles is complementary. "Complimentary" is something else.
x + y = 90 . . . relationship of complementary angles
x = 5y . . . . . given
5y +y = 90 . . . . substitute for x
y = 15 . . . . . divide by 6
x = 75 . . . . . use x=5y
Angle x is 75°; angle y is 15°.
Need some serious help ASAP (will give brainliest)
A restaurant offers delivery for their pizzas.The total cost is a delivery fee added to the price of the pizzas.One customer pays $25 to have 2 pizzas delivered.Another customer pays $58 for 5 pizzas.How many pizzas are delivered to a customer who pays $80?
Answer:
x-the cost of one pizza
y-the cost of delivery
2x+y=25
5x+y=58 ->3x=33->X=11->y=3
so,the number of delivered pizzas to the person
num=(80-3)/11=7
Step-by-step explanation:
Each big square below represents one whole
Answer:
= 61%
Step-by-step explanation:
Shaded is 1.22 out of 200
Shaded is .61 out of 100
TOTAL IS 61%
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Maria determined that these expressions are equivalent expressions using the values of x = 3 and x = 7. Which statements are true? Check all that apply.
Answer:
Photo :)
Step-by-step explanation:
Got it right :))
Answer:
The expressions have equivalent values for any value of x
The expressions have equivalent values when x = 6.
When x=10, both expressions have a value of 33
Step-by-step explanation:
if £555 are exchanged for€566.10 how much would be received for £60