Examine the system of equations.

−3x + y = 4,

−9x + 5y = −1


What is the solution?

(
,
)

Answer:

The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]

Step-by-step explanation:

Intercepts of a Function

Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:

y = f(x) = 0

The intercepts with the y-axis can be found by calculating

f(0)

We are given the function

y - 4x = 1

To find the x-intercepts, set y=0:

0 - 4x = 1

Solving:

[tex]x = -\frac{1}{4}[/tex]

For x=0:

y - 4*0 = 1

y = 1

The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    [tex]{}[/tex]   Towers

1) 5.25            [tex]{}[/tex]                          273

2) 6.25            [tex]{}[/tex]                         325

3) 7.25            [tex]{}[/tex]                         377

4) 9.25            [tex]{}[/tex]                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

Answer:

90%

Step-by-step explanation:

Answer:

fishy camera

Step-by-step explanation:

most distance in feet from surface

The fish camera is furthest from the surface of the water.

Answer:

b

Step-by-step explanation:

Answer:

need to work out how long it would take 1 person first.

9 X 5 = 45

1 person will take 45 hours

45/3= 15 hours

Answer:

The time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.

Step-by-step explanation:

Given

Principle P = 9000 dollars

Rate r = 4.75% = 0.0475

Total Amount A = 12600 dollars

compounded quarterly n = 4

To determine:

Time t = ?

Using the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

solving the equation for 't'

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )

t = 7.1 years

Therefore, the time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.

Answer:

3

Step-by-step explanation:

Area of a triangle equals bh/2. Therefore, the base which is 5.25 *3 = 15.75. 15.75/2 = 7 and 7/8.

Answer: 2520

Step-by-step explanation:

Given: Number of people supported the visiting team = 882

Let x = Total number of people at the game.

As per given,

35% of x = 882    [35% were supporting the visiting team]

[tex]\Rightarrow\ 0.35x=882\\\\\Rightarrow\ x=\dfrac{882}{0.35}\\\\\Rightarrow\ x= 2520[/tex]

Hence, the total number of people at the game = 2520 .

Answer:

your answer should be a

Step-by-step explanation:

Answer:

1/3 + 1/4 = ?

(1/3 x 4/4) + (1/4 x 3/3)=?

I multiplied like so in order to get equal denominators

4/12+3/12=7/12

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{8}\ \text{gallons}[/tex]

Step-by-step explanation:

Amount of milk remaining is [tex]\dfrac{3}{4}\ \text{gallons}[/tex]

Number of bowls is [tex]6[/tex].

So, each bowl will contain

[tex]\dfrac{\dfrac{3}{4}}{6}[/tex]

[tex]=\dfrac{3}{4}\times \dfrac{1}{6}[/tex]

[tex]=\dfrac{3}{24}[/tex]

[tex]=\dfrac{1}{8}\ \text{gallons}[/tex]

Hence, each bowl will have [tex]\dfrac{1}{8}\ \text{gallons}[/tex] of milk.

Answer:Ya <3

Step-by-step explanation:

Answer:

I hope this helps! The answer is 9. I solved this by using “sin” to find y.

Step-by-step explanation:

Answer:

B:   n - 5

Step-by-step explanation:

It said a number n, which is a variable.

Decreased means subtracting by 5.

So the answer would be:  n - 5

Answer:

-y + 5

Step-by-step explanation:

9y - 2(5y - 2) + 1 = 9y - 10y + 4 + 1

                          = -y + 5

Answer:

-y+5

Step-by-step explanation:

9y-2(5y-2)+1

=9y-10y+4+1

=-y+5

Answer: y=2/5x

Step-by-step explanation:

Y times x 2/5 which would be the answer

The equation that describes Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that is  {x + (2/5)x} kilograms.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that.

∴ The equation that describes this scenario is,

= {x + (2/5)x}.

= (5x + 2)/5 kilograms.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ5

Answer:

mean = 2

standard deviation = 1.3

Step-by-step explanation:

For a binomial random variable X, we can use this formula for mean:

meanX = np

We use this formula for the standard deviation:

sdX = sqrt(np(1 - p))

--------------------------------------------------------------------------------------------------

Since a turn consists of rolling 12 dice, we have n = 12.

The dice are fair and 6-sided, so the probability that each die lands showing "1" is p = 1/6.

meanX = np

= (12)(1/6)

= 2 dice

sdX = sqrt(np(1 - p))

= sqrt((12)(1/6)(5/6))

≈ sqrt(1.667)

≈ 1.291 dice

The mean and standard deviation of the game of luck are;

Mean = 2

Standard deviation = 1.29

We are told that a turn consists of rolling 12 fair six sided dice.

Thus;

n = 12

Probability of each one six sided die showing 1 is;

p = 1/6

Now,the formula for the mean is;

E(X) = np

Plugging in the relevant values gives;

E(X) = 12 × 1/6

E(X) = 2

Now, for the standard deviation, we will use the formula;

Standard deviation = √(np(1 - p))

Plugging in the relevant values;

Standard deviation = √((12 × 1/6)(1 - 1/6))

Standard deviation = 1.29

Read more about mean and standard deviation at; https://brainly.com/question/22950599

Answer:

None

Step-by-step explanation:

A square root has to be two of the same number

Answer: 3

Step-by-step explanation:

From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.

The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:

= 24/8

= 3 invitation packages

Answer:

-2/3

Step-by-step explanation:

Visibly we can see the line passes through (0,3) and (3,1)

The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]

I hope this helps! :)

Answer:

Slope = -2/3

Step-by-step explanation:

Rise over run, pick one point of intersection

Go up 2, go to the left until you reach another point of intersection, which is 3 units.

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  3, -1

Step-by-step explanation:

The slope formula is ...

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...

  [tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]

The first blank shown is filled with x2 = 3.

The second blank shown is filled with x1 = -1.

answer x = 225 and y = -135

Step-by-step explanation:

x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360

Answer: Slope-Intercept

Answer:

B

Step-by-step explanation:

The slope(m) is 2 because every time it goes left, it goes up by 2.

The y-intercept(b) is -1 because the line crosses the y-axis at (0, -1)

m=2, b=-1

Answer: For multiplying is 3.5 and for adding is 7.5

Step-by-step explanation: because if you do 1/2 + 7 all you have to do is add the 7/1 and you would add it but if its multiplying your asking it would be 3.5