Solve the following system: 5x + 4y = 6 -2x – 3y = -1​

Answers

Answer 1

Answer:

[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]


Related Questions

Can someone help me with these 2 geometry questions?? Will mark brainiest :)

Answers

Answer:

Thats to hard Do it your self

Which equation represents this line in point-slope form?

A.
`(y + 4) = (4)/(3) (x + 3)`

B.
`(y −4) = -(4)/(3) (x +3)`

C.
`y= -(3)/(4)x`

D.
`4y− 3x = 0`

Answers

Answer:

The Answer is Option A or Option B

Step-by-step explanation:

First let's review what point slope form is.

[tex]y - y 1 = m(x - x1)[/tex]

To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.

You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer

Again, there is no graph provided so it is up to you to determine if it is Option A or B.

I really hope this helps and you have a great rest of your day!

Note: I am not a professional educator so take my opinion carefully.

=)

16. Write an equation for the line that is parallel to the given line and passes through the given
(1 point)
point
y = 3x+7; (2, 10)

A. Y=3x + 11

B. y = 3x + 4

C. y=-3x+4

D. y=(-1/3)x+ 4

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes

y = 3x + b

add in the desired point

10 = 3(2) + b

b = 4

B.  y = 3x + 4

Help again please ?? I have 5 more that needs to be answer also ..

Answers

It’s 43, so A, the first one

You take a test with 25 questions. Your grade on the test was a 80%. How many questions did you get right?

Answers

Answer: 20 questions
Explanation: 25 divided by 20 = 80%

Answer:

20 questions

Step-by-step explanation:

1.) Use the following equation:

[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]

2.) For this equation,

x is the # of test question you got righty is the total # of test questionsp is the grade you got on the test

3.) Substitute

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

4.) Solve

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5.) Cross Multiply

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5x = 100

6.) Divide

5x = 100

x = 20

Therefore, you got 20 questions right.

Which expression is equivalent to 440d2 - 176d?

Answers

666666666666666666766666666

Answer:

c

Step-by-step explanation:

i saw the answer sheet :)

Luigi's Fine Dining charges $32.09 for its prix fixe meal plus $39.26 for every drink, d, you purchase. The equation that models the total cost (T) is T(d )= 39.26d + 32.09 Which value in the equation represents the rate of change?

A .. The number of drinks purchased
B .. $32.09
C .. $39.26
D .. $71.35

Answers

Answer:

C. $32.09, since it's not the fixed cost, it changes based on how much drinks are purchased.

A
It depends on the amount of drinks purchased to change the bill

What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)

Answers

Answer:

(-3,2)

Step-by-step explanation:

Go where the two coordinates match, you'll see that it's (-3,2).

I see that that's Edge2021, I know how that feels. :/

Hope this helped! :)

Answer:

 (-3, 2)

Step-by-step explanation:

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go?
Round your response to at least three decimal places

Answers

Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

52% of its customers order their food to go, hence [tex]p = 0.52[/tex].Random sample of 5 customers, hence [tex]n = 5[/tex].

The probability that exactly 4 order their food to go is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.52)^{4}.(0.48)^{1} = 0.1755[/tex]

0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

which expression is equivalent to (tan(θ/2))(sin θ)

Answers

Answer:

B) [tex]-1+cos\theta[/tex]

Step-by-step explanation:

[tex](tan(\frac{\theta}{2}))(-sin\theta)[/tex]

[tex](\frac{1-cos\theta}{sin\theta})(-sin\theta)[/tex]

[tex](\frac{-sin\theta+sin\theta cos\theta}{sin\theta})[/tex]

[tex]-1+cos\theta[/tex]

Therefore, option B is correct

Helpful Tips:

Half-Angle Formula: [tex]tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}[/tex]

A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

7=4m +c( y intercept)

Step-by-step explanation:

use the formula y= mx +c

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

Given the function, f(x) = x ^ 2 + 9x , find f(- 7)

Answers

f(x)=x^2+9x
f(-7)=(-7)^2+9(-7)
f(-7)=49-63
f(-7)=-14

order the expression from least to greatest

Answers

Answer:

So it would be 4, 11, 20

Step-by-step explanation:

[tex]11^1 = 11[/tex]

[tex]2^2 * 5 = 20[/tex]

[tex]8^2-60 =4[/tex]

(fog) f(x) = 1/x g(x) square root x+3

Answers

Answer:

see the step below, but I'm not sure if this you want

Step-by-step explanation:

[tex](fog) = \frac{1}{ \sqrt{x + 3} } [/tex]

[tex](fog) = \frac{ \sqrt{ x + 3} }{x + 3} [/tex]

Help, please

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Answers

Answer:

The first step.

Step-by-step explanation:

Write the word sentence as an equation. Then solve.

The difference of a number n and 3 is -7.

Answers

Answer:

n-3 = -7

n = -4

Step-by-step explanation:

(Meeting character limit)

Answer:

-4

Step-by-step explanation:

n - 3 = -7, n = -4

A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD

Answers

Answer:

$10.06

Step-by-step explanation:

Tax rate = 6% , convert into 0.06

10 × 0.06 = 0.6

10 + 0.6 = 10.06

Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?

Answers

Hsbshshhsshhshshshhshs

given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH

Answers

Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.

Recall:

Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.

Given the parallelogram as shown in the diagram below, where:

base (b) = EF = 5x + 18

side (a) = HE = 3x + 4

Perimeter = 60

Plug in the values into the formula:

60 = 2[(3x + 4) + (5x + 18)]

60 = 2[3x + 4 + 5x + 18]

60 = 2[8x + 22]

60 = 16x + 44

60 - 44 = 16x

16 = 16x

1 = x

x = 1

GH = EF = 5x + 18 (equal opposite sides of parallelogram)

GH = 5x + 18

Plug in the value of x

GH = 5(1) + 18

GH = 23

Learn more about the perimeter of a parallelogram on:

https://brainly.com/question/884700

on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?

Answers

Cheeseburger=3/4
Hamburgers=1/4
448/4=112
112x3=336
Cheeseburgers=336
Hamburgers=112
112 hamburgers were sold on Tuesday.

A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?



r≥241925


r≤12.6


r≤241925


r≥12.6

Answers

Answer:

r <= 12.6

Step-by-step explanation:

Let's calculate the rate at which he descends:

r = (46.7 - 15.2)/212 = 0.15 feet/minute

A = $2100, P = $1600, t = 8

r = %

Answers

Answer:

I want to say 900 many sorry if it's wrong

Hi guys can u guys help me add 322 + 12

Answers

Answer:

334 is the answer

Step-by-step explanation:

you add them together

Answer:

334 is the right answer

Step-by-step explanation:

please mark me brainliest

I need help fast I forgot how to do this

Answers

Answer:

ABC & E are true statements about the graph

What is the temperature shown on
the thermometer?

Answers

A thermometer is a device used for measuring temperature. This ice-covered thermometer shows that the temperature is about 0 degrees Celsius, or 32 degrees Fahrenheit.

Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)

A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)

Answers

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?

Cost of parking for 3 hours:
I
Cost of parking for t hours:

Answers

Answer :6

If it’s two dollars every hour and she leaves her car out in the parking lot for three hours if you go 2 x 3 =6 or you could go 2,4,6 so add 2 three times you get 6

Step-by-step explanation:

let's create the corresponding equation.

it is linear, because the cost per hour is constant, no matter how many hours the car parks.

t is the variable indicating the amount of hours parking.

every hour costs $2.

and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).

cost(t) = 2t + 8

so, the cost after 3 hours is

cost(3) = 2×3 + 8 = 6 + 8 = $14

If 6 pounds of apples cost $4.80 what is the cost per 9 pounds

Answers

Answer:

Cost of 1 pound apple:4.80/6=2.4

cost of 9 pounds apple:2.4 ×9=21.6

You have to do unit price so for one apple it is $0.80 then do .80x9 which equals $7.20

what is x- 2 1/2 = 6 3/4

Answers

Answer:

3 2/2

Step-by-step explanation:

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