Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer 1

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer 2

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]


Related Questions

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N



Units of time belong in the numerator or denomintor

Answers

Answer:

denominator i think.

Step-by-step explanation:

All rectangles are _____.

parallelograms
rhombuses
squares
quadrilaterals​

Answers

All rectangles are parallelograms

Which property would you use to find an equivalent expression for 9 x 10?

Answers

Answer:multiplication property of equality

Step-by-step explanation:

Answer

Multiplication property of equality

Hope this helps :) ( learned this in fifth grade btw)

Pls give me BRAINLIEST

A phone company charges for service according to the formula: C ( n ) = 29 + 0.04 n , where n is the number of minutes talked, and C is the monthly charge, in dollars. The slope in this equation is: ____________

The vertical intercept in this equation is: _____________

Answers

Hello!

Answer:

Slope = 0.004

Vertical Intercept = 29.

Explanation:

Basically, you can rearrange this equation so that is in the form of y = mx + b.

y = mx + b

C(n) = 0.04n + 29

The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable n represents it.

can someone help me please, i’ll give brainly. (10 points)

Answers

Answer:

Gradient of Line A: 0.75

Gradient of Line B: 0.8

Therefore the lines ARE NOT parallel.

Step-by-step explanation:

Find the gradient (slope) of line A and B respectively.

Line A Gradient:

Equation of line A is 3x - 4y = 5

Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).

Thus,

3x - 4y - 3x = -3x + 5

-4y = -3x + 5

Divide both sides by -4

y = ¾x + ⁵/4

The gradient = ¾ = 0.75

Line B Gradient:

Gradient of line passing through (4, 7) and (-1, 3)

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]

Gradient (m) = ⅘ = 0.8

Since both lines do not have the same gradient, therefore the lines are not parallel.

Two teachers purchase supplies for their classrooms.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Each journal costs the same, and each pencil costs the same.

Answers

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

[tex]18x+40y=95.42[/tex]

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

[tex]11x+16y=53.33[/tex]

Now solving these equations to find the value of x

[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5

[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

Can someone help? Pls

Answers

9514 1404 393

Answer:

  [tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 1/2 and (h, k) = (-2, 0), the equation is ...

  y - 0 = 1/2(x -(-2))

I need to get the answer but I’m struggling to understand how to get the gradient

Answers

Answer:

-5

Step-by-step explanation:

gradient or slope of line: m = (y'-y)/(x'-x)

line pass (-2,5) (-1,0) (0,-5)

use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5

Other than itself, which angle is congruent to

(PLEASE HELP ILL REWARD)

Answers

Answer:

The answer is <GBH

Step-by-step explanation:

ITS because its relation is vertically opposite angle

given the function f(x)=5x-3/4,which of the following is correct?

Answers

Answer:

3)  [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]

what is 2:10 as a percentage​

Answers

Answer:

20%

Step-by-step explanation:

2:10 = 2/10. 2/10 = 20/100, which equals 20%.

Use the geometric mean (altitude) theorem. What is the
value of m?
4
2/7
4/10
160

Answers

Answer:

[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]

I need help yo!! I probably know who’s gonna answer l m a o

Answers

Answer:

1

Step-by-step explanation:

12 divided by 4 = 3

3 divided by 3 = 1

1/4

please help look at picture

Answers

Answer:

15 cm

Step-by-step explanation:

Answer:

its C 30cm

Step-by-step explanation:

I multiplied 6x5=30

Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888

Answers

Answer:

Sample size is [tex]n=423[/tex]

Step-by-step explanation:

Given that,

Margin of error [tex]=4[/tex]%

Confidence level [tex]=90[/tex]%

Suppose, sample proportion[tex]=0.5[/tex]

        i.e. [tex]\hat{P}=0.5[/tex]

We know that,

     Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]

 ∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]

[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]

[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]

[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]

[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]

squaring on both side,

∴ [tex]n=423.1249[/tex]

Hence, the sample size is,

   [tex]n=423[/tex]

Hence, the correct option is [tex](b).[/tex]

       

Answer:

423

Step-by-step explanation:

Estimate the quotient 19 4/5 • 4 5/8

Answers

Answer:

-0.1692

Step-by-step explanation:

use your cakculator

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.

Answers

Answer:

Yoyo

Step-by-step explanation:

Are the following triangles similar to each other? If so, why?

Answers

Yes the are simailer because of SSS

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

24 apples and 36 oranges in a basket. What percentage of the fruit is oranges

Answers

Answer:

24 %

Step-by-step explanation:

thats easy

How do I solve a hanger diagram?

Answers

Answer:

con un lapiz

Step-by-step explanation:

por que con un lapiz escribes

please answer asap!!!!!

Answers

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

You are planning to make monthly deposits of $400 into a retirement account that pays 10 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 40 years?

Answers

Answer:

Using the future value (FV) formula,

R = .10/12

N = 12*30

P = 400

Your future value would be $904,195.17

Step-by-step explanation:

Jjfjfjfjfjrkkeoicidieieieijfjjgjgjrid dndjjdiekf. Ririekekrkkdkdfkkffkrkkrkrkficihfhdhdhhdjsj+Kelley

Question 2
What is the quotient of 3/4 divided by 5/4

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Operations With Fractions

Evaluate the expression:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]

The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]

Simplifying:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]

Answer: [tex]\frac{3}{5}[/tex]

3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it

Answers

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

a town spends 43% of its annual budget on education. if the town's budget is one million dollars, how much will be spent on education?

Answers

Answer:

my dad left me

Step-by-step explanation:

my dad left me

Answer:

$430,000

Step-by-step explanation:

1,000,000 * 0.43

Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)

Answers

Answer:

A. q2 = r2 + s2 – 2rscos(Q)

D. r2 = q2 + s2 – 2qscos(R)

E. s2 = q2 + r2 – 2qrcos(S)

Step-by-step explanation:

The following relation represent the law of cosines.

                  [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Law of cosines:

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.

A diagram is attached below,

From cosines law,

      [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Above relation represent law of cosines.

Learn more about the Law of cosines here:

https://brainly.com/question/4372174

Help plz:)))I’ll mark u Brainliest

A) Yes, by SSS
B) Yes, by SAS
C) Yes, by ASA
D) Yes, by AAS
F) Yes, by HL
G) There is not enough information to say they are congruent.

Answers

Answer:

B) Yes, by SAS

Step-by-step explanation:

AB=FG(given)

AC=EG(given)

ABC=EFG (given

Answer:

Yes. By SAS.

Step-by-step explanation:

both share ll l and than an angle.

so side angle side is only possibility

brainliest appreciated!

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