x = 4y + 3, 2x + y = -3
System of Equations

Answers

Answer 1

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )


Related Questions

please help me i will give brainliest!

Answers

Answer:

135

Step-by-step explanation:

Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.

Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.

Then divide 2 7/64 by 1/64 to get 135.

Hope this helps!

If there is something wrong, just let me know.

evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)​

Answers

Answer:

a). 7

b). -17

c). -2

Step-by-step explanation:

You have to substitute the given x value into the equation.

a). f(3)= 3(3)-2

=9-2

=7

Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answers

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

A square has a perimeter of 4 cm. What is the length of each side?

Answers

Answer:

1 cm

Step-by-step explanation:

Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.

The area of that square is 1 cm x 1 cm, which is 1 cm2.

Step-by-step explanation:

since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm

= ans is 1cm^2

TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!

Answers

Answer:

[tex]28.07^{\circ}[/tex]

Step-by-step explanation:

We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.

The right triangle we're looking at involves the two dotted lines and an edge of the prism.

The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.

The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.

In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:

[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]

This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:

[tex]\tan \theta = \frac{8}{15}[/tex]

Take the inverse tangent of both sides:

[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]

Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:

[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.

Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)

Lets start!

cos[tex]\theta\\[/tex] = adj/hyp

cos[tex]\theta\\[/tex] = 6/13

[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)

[tex]\theta\\[/tex] = 62.5

[tex]\theta\\[/tex] = 63

Hope that helped!

3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter

Answers

Answer:

240cm^3

Step-by-step explanation:

3cmx20cmx4cm=240cm^3

What is the slope of the line joining (15, 12) and (9, 4)

Answers

(15,12)(9,4)

[tex]\\ \sf\longmapsto Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto Slope=\dfrac{4-12}{9-15}[/tex]

[tex]\\ \sf\longmapsto Slope=\dfrac{8}{6}[/tex]

[tex]\\ \sf\longmapsto Slope=\dfrac{4}{3}[/tex]

Plz help me ASAP plz

Answers

The answer is 3

Explanation
18-15=3

Answer:

3

Step-by-step explanation:

RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!

I need help to find W =

Answers

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?

Answers

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Electrons=-354Protons=+139

Net charge

354-139-215

Negative charge and the amount is 215

Please help me with this question. Thank you so much everyone.

Answers

Answer:

1159

Step-by-step explanation:

She wants to read 1000 pages per week for five weeks.

So in total she wants to read 1000 * 5 = 5000 pages.

The first three weeks she read 894 pages per week.

So during the first three weeks she read a total of 894 * 3 = 2682 pages.

We want to find how many pages she must read per week for the last two weeks to reach her goal.

Goal: 5000 pages

Pages read so far: 2682

Weeks remaining: 2

To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )

5000 - 2682 = 2318

So she must read 2318 pages during the last 2 weeks.

If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )

2318 / 2 = 1159

So for the last two weeks she must average 1159 pages per week.

Answer:

1159 pages

Step-by-step explanation:

According to Briana's goal,

Pages to be read per week = 1000 pages

Number of weeks = 5

So, pages to be read in 5 weeks

= 5×1000 pages

= 5000 pages

But in reality,

Pages read in each first 3 weeks = 894 pages

So, total pages read in all first 3 weeks

= 3×894 pages

= 2682

Pages remained to be read to complete the goal

= Pages to be read in 5 weeks according to her goal - Pages actually read in all first 3 weeks

= 5000 pages - 2682 pages

= 2318 pages

So, pages to be read in each last 2 weeks

= 2318 pages/2

= 1159 pages

So, Briana will have to need to average 1159 pages over the last two weeks to complete her goal.


Which number is a solution of the inequality?
3x - 15 ≥ 3

a.) -9/11

b.)6/11

c.)6

d.)5

Answers

Answer:

6

Step-by-step explanation:

[tex]3x - 15 \geqslant 3[/tex]

[tex]3x \geqslant 3 + 15[/tex]

[tex]x \geqslant \frac{18}{3} [/tex]

[tex]x \geqslant 6[/tex]

PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?

Answers

Answer:

2/3

Step-by-step explanation:

The graph point is on (3,2)

Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

x = -7

Step-by-step explanation:

First we find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -8 - 5)/( -7 - -7)

   = (-8-5)/(-7+7)

   = -13/0

This means the slope is undefined and the line is vertical

Vertical lines are in the form

x= constant and the constant is the x value of the points

x = -7

Does the graph represent a function? Why or why not?

Answers

Answer:

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.

Answer:

D.

Brainliest, please!

Step-by-step explanation:

This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.

what percent of 65 gives you 33

Answers

Answer:

50.8%

Step-by-step explanation:

Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%

. A cook buys six pumpkins. The mean mass of these pumpkins is 2,1 kg. The heaviest pumpkin, which has a mass of 3 kg, is used first. Calculate the mass of the remaining five pumpkins.​

Answers

Answer:

9.6kg

Step-by-step explanation:

If the mean mass is 2.1 we can count the mass of these six pumpkins

the total mass of the pumpkins divided by the quantity of them is equal 2.1

TO find the mass multiply 2.1 by the quantity of them (6)

2.1*6=12.6 - the summary weight of six pumpkins

12.6-3=9.6 - the remainder after using the heaviest pumpkin

Find the missing length indicated.

Answers

Answer:

Does the answer help you?

Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98

Answers

2)10,290

105

98

10290

(3y-2z) (3y+2z)

3y(3y+2z)-2z(3y+2z)

9y2+6yz-2z(3y+2z)

9y2+6yz-6yz-4z2

9y2-4z2

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

Answer:

a = 4 feet

Step-by-step explanation:

Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.

[tex]\sqrt[3]{64}=4[/tex]

Therefore, a = 4 feet.

Answer:

4

Step-by-step explanation:

To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:

a^3 = 64

With the equation, we can realize 4*4*4 is 64, meaning a is 4.

-7m-3(-5m-4)=-61
My answer is always decimals??? Its weird…please help

Answers

Answer:

M=-73/8

Step-by-step explanation:

cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM

Answers

Answer:

Step-by-step explanation:

Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week

Answers

Answer:

9 more weeks

Explanation:

She already saved 20(3)=60

240=60+20(x)
X=9
She needs 9 more weeks

You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?​

Answers

Answer: C) You choose account #2

===================================================

Explanation:

Let's compute the final balance for account 1.

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of years

where in this case

P = 10,000r = 0.035 n = 4 t = 10

So with all that in mind, we get

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.035/4)^(4*10)

A = 14,169.0883793113

A = 14,169.09

Account #1 gets us $14,169.09 which is over our goal of $14,000

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

Let's repeat this idea for account 3. I'll get back to account 2 in the next section.

For account 3, we have these inputs

P = 10,000r = 0.032n = 1t = 10

leading to...

A = P*(1+r/n)^(n*t)

A = 10,000*(1+0.032/1)^(1*10)

A = 13,702.4104633564

A = 13,702.41

This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.

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

Now let's compute account 2. We'll use the continuously compounded interest formula which is

A = P*e^(rt)

The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.

I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.

So,

A = P*e^(rt)

A = 10,000*e^(0.036*10)

A = 14,333.2941456052

A = 14,333.29

This exceeds 14,000 so we can use this account.

Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.

This is why we should go for account 2.

3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.​

Answers

Answer:

No.

Step-by-step explanation:

No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.

A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?

Answers

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

Find an equation of the line through the given points right the answer and slope intercept form

Answers

Answer:

equation is y = 2-x

Step-by-step explanation:

x1 = -3

y1 = 5

x2 = 4

y2 = -2

now

m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1

so m = -1

now

y =mx + b

-2 = -1×4 + b

or, -2 = -4 +b

so, b = 2

now

y = mx+b

y = -1x + 2

or, y = 2-x

PLS HELP- please look at the picture below

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.

Then f(2) = 1/x = 1/3.

Describe and correct the error in finding the volume of the pyramid.

Answers

You have to multiple 6 times itself to get the sides
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