What is the solution to the system of equations graphed below?
y=-4x + 33

y=5/3x-1

Answers

Answer 1

Answer:

x = 6

y = 9

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Expert Verified Answer (of this same question but with a step-by-step explanation):

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Related Questions

1/3(9x +45) - x = 6x +4

Answers

1/3(9x+45)-x=6x+4

we can move the numbers on the right and the x's on the left

9x/3+45/3-x=6x+4

3x-x-6x=4-15

-4x=-11

x=11/4

Answer:

x = 11/4

Step-by-step explanation:

thats the answer...........................

Perform the operation. (-9x^2-2x)-(-9x^2-3x)

Answers

Answer:

(-9x^2-2x)-(-9x^2-3x)

Step-by-step explanation:

-9x^2 + 9x^2 - 2x + 3x

= 0x^2 + 1x

= 1x

Mark me as brainliest

Hope this helps!!!

4x2
4x + 10 and 2x2 + 5x – 8.

Answers

Answer:

14x , -4+5x

I hope this helps

have a fantastic day

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions

Answers

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

[tex]A=(1500-2y)y\\\\A=1500y-2y^2[/tex] .....(3)

For largest area, differentiate above area equation wrt y.

[tex]\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375[/tex]

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

[tex]A =1500(375)-2(375)^2\\A=281250\ m^2[/tex]

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

Boris bought 3 CDs that were each the same price. Including sales tax, he paid a total of $37.20. Each CD had a tax of $1.30. What was the price of each CD before tax?

Answers

Answer:

11.10

Step-by-step explanation:

37.20 - 3(1.30) = 33.3

33.3/3 = 11.1

Each CD costs $11.10

Find the area of the circle. Use pi =3.14 and round to the nearest hundredth. R=14m

Answers

Answer:

615.75 or 616.0

Step-by-step explanation:

What is the rate of change (Slope) of the cost with respect to the number of miles for the Yellow Cab Company?

Answers

Answer:

The slope would be 2

Step-by-step explanation:

All you do is pick two order pairs: (2,6) and (4,10),  then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.

In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°. Find the length of j, to the nearest centimeter.

Answers

Given:

In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°.

To find:

The length of j, to the nearest centimeter.

Solution:

According to Law of sine,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

In ΔHIJ, using law of sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{h}{\sin H}[/tex]

[tex]\dfrac{j}{\sin (20^\circ)}=\dfrac{40}{\sin (93^\circ)}}[/tex]

[tex]j=\dfrac{40\times \sin (20^\circ)}{\sin (93^\circ)}}[/tex]

On further simplification, we get

[tex]j=\dfrac{40\times 0.34202}{0.99863}[/tex]

[tex]j=\dfrac{13.6808}{0.99863}[/tex]

[tex]j=13.69958[/tex]

Approximate the value to the nearest centimeter.

[tex]j\approx 14[/tex]

Therefore, the length of j is 14 cm.

A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.1?

Answers

Answer:

The sample  size is  [tex]n =68[/tex]

Step-by-step explanation:

    The population proportion is  [tex]\^ p = 0.50[/tex]

     The margin of error is  [tex]E = 0.1[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.645 }{0.1} ]^2 * 0.50  (1 - 0.50 ) [/tex]

=>  [tex]n =68[/tex]

     

The formula for temperature conversion is F=1.8C+32. If the Fahrenhei
temperature (F) is 86, What is the Celsius (C) temperature?

Answers

Answer:

30

Step-by-step explanation:

(86-32)/1.8 =30

30 is the answer for Celcius

evaluate - 31 - 8 + 31

Answers

Answer:

-8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

-31 - 8 + 31

Step 2: Evaluate

Subtract:                    -39 + 31Add:                           -8

For each incorrect answer on a test, the teacher changes the total points possible by −4 points. The total number of points possible on a test is 64. If a student has 9 incorrect answers, what will be that student’s score?

Answers

Answer:

-4×9=-36

then 64-36=28

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

1 ft

36 ft

45 ft

56.25 ft

Answers

Answer:

36 feet

Step-by-step explanation:

I believe this is the answer

Order of Operations with and without variables

Answers

Answer:

9

Step-by-step explanation:

3 (2²) - 2(2) + 1 =

3 (4) - 4 + 1       =

12 - 4 + 1           =

8 + 1                 = 9

mZA = (x + 30°
mZB = xº
mZC = (x + 60°
Need help pleaseeee

Answers

Answer:

.

Step-by-step explanation:

HELP ME ON THIS. 10 POINTS

Answers

Answer:

This is sooo easy

Step-by-step explanation:

The answer is B

because It does not go through the Origin

every time they ask if something is proportional

ALWAYS check if its a straight line or if  it go through the origin

hope I helped sorry If you get it wrong

plz help me out if you can​

Answers

Answer:

D $26

Step-by-step explanation:

IS THIS CORRECT OR NAH

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?

Answers

Answer:

If the two numbers are x and y, then:

x + y = 8

18 - 2x = 4y - 2.

When we subtract y from both sides in our first equation we get:

x = 8 - y, so:

18 - 2(8 - y) = 4y - 2

18 - 16 + 2y = 4y - 2

2 + 2y = 4y - 2

2y = 4

y = 2

Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.

what is two cubed and then divided by 4?

Answers

Two cubed = 2^3
2 * 2 * 2 = 4 * 2 = 8
8/4 = 2
The answer is 2

Answer:

2

Step-by-step explanation:

2 cubed is 8, then divided by 4 is 2

Jacob is 4 feet 5 inches tall. How tall is Jacob in inches?
O 48 inches
09 inches
020 inches
0 53 inches

Answers

Answer:

He is 53 inches in height

Step-by-step explanation:

4 × 12 inches = 48 + 5 = 53

a painter painted 3/5 of a portrait in 20 minutes. If she continues working at the same rate, how many portraits will she paint in one hour?

Answers

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

find the number of each kind of atom
2MgO​

Answers

2Mg+O squared→2MgO ((when I say squared it means u need to put that little 2 underneath the O if ur still confused I can help u a little more :)

What is 37% of 600?
ANSWER CORRECT

Answers

Answer:

the answer is 222

Answer:

222

Step-by-step explanation:

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 600, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

37/100 = X/600

X/600 = 37/100

X*600/600 = 37*600/100

X = 22200/100

X = 222

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.

Answers

Answer:

2 1/3+5/6+1/6= 3 1/2

Step-by-step explanation:

Change your denominator to 6 and add then reduce if possible

PLZZZZ Hurry I’m in a rush

Answers

Answer:

y=10

Step-by-step explanation:

2y+3+9y-7+7y+4=180

18y=180

y=10

The two-way table shows the ages of the players on different sOCcer teams.
Team D
3
Total
21
23
14
58
Team C
Team A
4
Team B
8 Years Old
9 Years Old
10 Years Old
Total
4
3
13
3
5
16
4
15
14
Which statement is true?
O The probability that a randomly selected player on TeamA is 8 years old is
O The probability that a randomly selected 8-year-old player is on Team C is
O The probabilíty that a randomly selected player on Team C is 10 years old is
O The probability that a randomly selected 10-year-old player is on Team B is 13
58

Answers

**Answer**
The true statement is: The probability that a randomly selected player on Team C is 10 years old is 5/16

please mark me brainliest, happy holidays :)

NEED HELP FAST AS POSSIBLE PLZ NEED TO TURN IN NOW​

Answers

Answer:

Quick Answer it is A

Step-by-step explanation:

You have developed an angle bisector.

That means that JKM = LKM

B: is incorrect. The 1/2 should go on the angle on the left, not the one where it is

C: is incorrect. 1/2 of the given angle cannot be the same as the bisected angle.

D: is wrong. A bisected angle can't be twice as big as the given angle before it is bisected.

What is the value of x in the equation 2 (6 x + 4) minus 6 + 2 x = 3 (4 x + 3) + 1?
1
3
4
6

Answers

Answer:

x=4

Step-by-step explanation:

I did the edge quiz pretty sure I got it correct

Answer:

x=4

Step-by-step explanation:

Can someone please help me with this question I don’t understand it

Answers

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

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