What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}

Answers

Answer 1

Answer:

(3/2, 7/2)

Step-by-step explanation:

Given the system of equations;

y = 3x/2 + 5/4..... 1

-2x + 8y = 25 .... 2

Substitute equation 1 into 2;

From 2;

-2x + 8y = 25

-2x + 8(3x/2 + 5/4) = 25

-2x + 12x + 10 = 25

10x = 25 - 10

10x = 15

x = 15/10

x = 3/2

Substitute x = 3/2 into equation 1

From 1;

y = 3x/2 + 5/4

y = 3/2(3/2) + 5/4

y = 9/4 + 5/4

y = 14/4

y = 7/2

Hence the solution to the equation is (x, y) = (3/2, 7/2)


Related Questions

select two figures that have the same volume. A. cone with base radius 6 and height 3. B. cone with base radius 5 and height 6. C. cone with base radius 4 and height 9. D. cone with base radius 3 and height 12 ​

Answers

Answer:

I believe it is c and d

Step-by-step explanation:

math stuff and math

which two integers is 83 between?

Answers

Answer:

41+42=83 ... therefore these are the required integers.

Step-by-step explanation:

Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).

Answers

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

Please see work attached.

hit the heart button :)

Answer:  [tex]\sqrt{65}[/tex]

Step-by-step explanation:

distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]

take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]

and just substitute to get [tex]\sqrt{65}[/tex]

Determine the equation of the circle graphed below.

Answers

you forgot to add an image of the circle

Answer:

lol you didnt add a pic

Step-by-step explanation:

Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i​

Answers

2.4 millimetres into meter is 0.0024.

Answer:

0.0024 meters

Step-by-step explanation:

Using conversion.

Hope this helps!

xoxo,

cafeology

PLEASE HELP DUE SOON!! #2 and #4

Answers

Answer:

2. We can't see the figure so we can't answer this

4. they are both the symmetrical, so we can safely assume that they are both equal.

Hiram takes an Uber from his house to the alrport. The Uber driver charges $3.50 initial fee plus
$7.25 per mile. Write the equation that can be used to find y, the total cost of the trip, If x
represents the number of miles in the trip? (Do not include $ in your equation).

Answers

Answer:

y = 7.25x + 3.50

Lucy did 8 laps of an 800m derek did 12 laps of a 1.5km track on his bike who went further and by how munch

Answers

Answer:

Derek; by 11600 m.

Step-by-step explanation:

Convert 1.5km into m.

1.5 is 1500m.

1500 * 12 = 18000 m

8 * 800 <= Lucy

6400 m  <= Lucy's distance

18000-6400=11600m

Based on the information, Derek went further by 11600m.

Lucy did 8 laps of an 800m. The total distance will be:

= 8 × 800m

= 6400m

Derek did 12 laps of a 1.5km track. The total distance will be:

= 12 × 1500m

= 18000m

Therefore, the difference will be:

= 18000m - 6400m

= 11600m

Learn more about multiplication on:

https://brainly.com/question/25545513

0⁴= Evaluate. please.​

Answers

Answer:

0

Step-by-step explanation:

because we can't multiply anything by 0.

is like saying 0×0×0×0=0

Hope this helps :D

what is 1+1? pls dont hate on me

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

Its 2

Step-by-step explanation:

Thank you for the points

Similar Figures and Scale Drawings Extension brainliest plus 40 points

Answers

I think it's a pattern, so x would be 3 and y would be 5 for the first one

x would be 20 for the second

and i dont even do word problems so...

find the slope of the line graphed below

Answers

Answer:

-3/2

Rise over run!

The exterior angle of a regular polygon is 36º.
How many sides does the polygon have?

Answers

Answer:

10

Step-by-step explanation:

The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

y^2 + 18y - 41 = 0
Y=
Y=

Answers

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

Jayden ran 9 laps in 27 minutes. How many minutes dose it take him to run 20 laps

Answers

Answer:

It would take him 60 minutes to run 20 laps.

Step-by-step explanation:

We can solve using proportions.

[tex] \frac{9 \: laps}{27 \: minutes} = \frac{20 \: laps}{x} \\ \\ \frac{540}{9} = \frac{9x}{9} \\ \\ 60 = x[/tex]

It would take him 60 minutes.

Which of the following is the multiplicative inverse of 4?
16

-4

1/4

-1/4

Answers

1/4 is the answer to the problem

Given x2=9, solve for x

Answers

Answer:

4.5

so I did 9 /2 = 4.5

Answer:

4.5 or 9/2 or 4 1/2

Step-by-step explanation:

You divide 9 by 2, to get 4.5 in number form. 9/2 for improper fraction form and 4 1/2 for whole number fraction.

3
Andrew plays a card game. In the first round, he gets 4 points.
In the second round, he loses 4 points. The expression 4 +(-4)
represents his score after the two rounds.
-
+
a. Circle the zero pairs in the model.
b. How many points does Andrew have after the second round?
c. What is 4 + (-4)?

Answers

Answer:

A) The 4 and (-4) are 0s.

B) 0 points after the second round

C) 4+(-4) is 0

The 4 and the (-4) are the zero pairs in the model

Andrew has 4 + (-4) = 0 points after the second round.

4 + (-4) = 0

Given: g(x) = Vx – 4 and h(x) = 2x – 8.
What is g(h(10))?

Answers

Answer:

g(h(10)) = 43

Step-by-step explanation:

Given: g(x) = 4x – 4 and h(x) = 2x – 8.

We are to find g(h(10))

First we need to get g(h(x))

g(h(x)) = g(2x-8)

Replace x in g(x) with 2x-8 as shown:

g(2x-8) = 4(2x-8)-4

g(2x-8)= 8x-32-5

g(2x-8) = 8x-37

Hence g(h(x)) = 8x-37

g(h(10)) = 8(10)-37

g(h(10)) = 80-37

g(h(10)) = 43

Hence g(h(10)) is 43

The candle burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an equation for L, in terms of t,t, representing the length of the candle remaining in inches, t hours after the candle was lit.

some one please help me

Answers

L= 9 - 0.75t

the candle was 9” to start and decreases in size 0.75 per hour

-5x + 10 > -15 can someone solve this?

Answers

Answer:

x<5

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

First, subtract 10 from both sides which will give you −5x>−25.

Then just divide both sides by -5 and you should get the same answer x<5

I hope this helps :)

How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?​

Answers

Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?

I assume you mean the former. To begin with,

1 = exp(0°i ) = cos(0°) + i sin(0°)

Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,

1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)

1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)

where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,

• cos(0°/5) + i sin(0°/5) = 1

• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)

• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)

• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)

• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)

If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,

cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)

cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²

cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)

which follows from the expansion

(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)

due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :

1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)

Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.

What is an equation in point line slope form of the line that passes through the point (4,-1) and had slope 6

Answers

Answer:

y+1=6(x-4)

This is if you want it in point slope for,.

Step-by-step explanation:

Then, if you simplify it.

y+1=6x-24

y=6x-25

Now, it is in slope intercept form.

Someone Please explain how to do this. HURRY

Answers

It’s D (0,-2) I Saw someone ask this same question!!

A new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.
The next 3 days she worked, she sold an average of $42,000. How much did she sell on average
per day over the entire 8 days?

Answers

Answer: 15

Step-by-step explanation:

The average number of cars sold for entire 8 days is $33250.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, a new cars salesperson, sold an average of $28,000 per day for the first 5 days she worked.

So, number of cars sold for 5 days =28,000×5

= 140000

The next 3 days she worked, she sold an average of $42,000.

Number of cars sold for 3 days

= 42,000×3

= 126000

So, average of 8 days =(140000+126000)/8

= 266000/8

= 33250

Therefore, the average number of cars sold for entire 8 days is $33250.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Given f(x)=-2x-3 and Range={-5,-1,-3} find Domain
{1,3,5}
{-1,0,1}
{2,3,1}
{0,-2,3}

Answers

Answer:

the answer is the 2nd option

domain = { -1, 0, 1 }

Which of the following equations are equivalent? Select three options.
02+x-5
Ox+1-4
O9+x-6
O x+4)-7
O-5+X=-2

Answers

The correct answers are the first, second, and 4th. They all equal x-3.

PLEASE HELP ME WITH THIS PROBLEM I REALLY NEED HELP WITH IT PLEASE!!!!!!!!

Answers

Answer:

the numbers at the bottom go on the side and the ones on the top graph them on the bottom numbers

Step-by-step explanation:

if you solve the equation ax+by/c=d for y what would you get?

y=b/cd-ax

y=b/ax-cd

y=cd-ax/b

y=ax-cd/b

Answers

Answer:

Y=cd-ax/b

Step-by-step explanation:

You r to use change of subject of the dormula

Look at the comments under this question! y = 10-3x and 2x+2y = 0

Answers

Answer:

Yes! You would sub 10-3x for y and solve.

Don't forget to use the distributive property! Your answer should be 5.

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