why is (3, -5) not a solution to -x+4=-15 and -2x-3y=-8

Answers

Answer 1

Step-by-step explanation:

-x+4y= -15

-2x-3y=-8

the intersection point isn't (3,-5)

it's approximately (-1.1818 ,3.45455 )

Why Is (3, -5) Not A Solution To -x+4=-15 And -2x-3y=-8
Answer 2

Answer:

see below

Step-by-step explanation:

Check the solution in both equation

-x+4 = -15

-3 +4 = -15

1 does not equal -15 so it is not a solution

-2x-3y = -8

-2(3)+-3(-5) = -8

-6 +15 = -8

9 = -8

It is not a solution to either equation


Related Questions

A woman is 42years old. Her daughter is 1/3 of her age. Three years ago the sum of her age was

Answers

Answer:

50

Step-by-step explanation:

So we know that 42/3=14.

3 years before was:

14-3=11

42-3=39

The sum of 11+39 is 50

find the answer for 10 points

Answers

Answer:

52.8

Step-by-step explanation:

(3×2.6×2/2)+(3×5×3)

= 7.8+45

= 52.8

Answered by GAUTHMATH

An entry in the Peach Festival Poster Contest must be rectangular and have an area of 1200 square inches. Furthermore, it's length must be 20 inches longer than it's width. Find the dimensions.

Answers

Answer:

The length is 46.05551275 inches, and the width is 26.05551275 inches.

Step-by-step explanation:

We know that the area must be 1200 square inches. Using this information, we can create an equation, where x is length and y is width:

x*y=1200

We know that its length must be 20 inches longer than its width. Therefore, x=y+20. Using this new information, we can replace 'x' in 'x*y=1200' with 'y+20':

(y+20)*y=1200

[tex]y^{2} +20y=1200[/tex]

[tex]y^{2} +20y-1200=0[/tex]

I have decided to use the quadratic formula, but you could also factor this equation into the 'intercept' form to determine the roots, which ultimately provides the same answer.

[tex]y=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex]

[tex]y=\frac{-(20)+\sqrt{(20)^{2} -4(1)(-1200)} }{2(1)}[/tex]

[tex]y=\frac{-(20)+\sqrt{400+4800} }{2}[/tex]

[tex]y=\frac{-(20)+\sqrt{5200} }{2}[/tex]

[tex]y=\frac{52.11102551 }{2}[/tex]

[tex]y=26.05551275[/tex] inches

[tex]x=y+20[/tex]

[tex]x=(26.05551275)+20[/tex]

[tex]x=46.05551275[/tex] inches

Therefore, the length is 46.05551275 inches, and the width is 26.05551275 inches.

What is the Width of 6.36-9.24

Answers

Answer:

-2.88

Step-by-step explanation:

6.36-9.24= -2.88

for any Integer 'a',a ÷ 0 is _______
give me answer​

Answers

Answer:

undefined, invalid

and for a limit expression like a/x, x->0 we also say this is infinite.

find the squre of 17
[tex] \sqrt{17} [/tex]

Answers

The answer is 4.12310562562
The square root of 17 is 4.1231

Nine million, twenty-seven thousand, four hundred and forty-eight

Answers

9,027,448

9027448

9027448

9027448

For the function y=f(x), find f’(a)

Answers

Answer:

-1

Step-by-step explanation:

f(x) = x²+3x+1

f(a) = a²+3a+1

f'(a) = 2a+3

putting a = -2

2×(-2)+3

= -4+3

= -1

Use the listing method to represent the following set. Hurry plz!!!

Answers

[tex]\\ \sf\longmapsto \left\{x|x \epsilon I,x\leqslant 3\right\}[/tex]

Here x belongs to set of Integersx is less than or equal to 3

In listing

[tex]\\ \sf\longmapsto \left\{\dots,0,1,2,3\right\}[/tex]

if x-y =2 and xy=15, find the value of x cube - y cube.​

Answers

Answer:

5³ = 125 : -3³ = -27

Step-by-step explanation:

let x= 5 and y= 3x - y = 25 - 3 = 2xy = 155 × 3 = 15x³ = ? : -y³ = ?5³ = 125 : -3³ = -27

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

For the following function, one zero is given. Find all other zeros.

f(x)=x3-7x2+17x-15; 2-i

Answers

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

  =0

f(-1)= -1 +7-7-15

    = -16

f(3)=27+7(9)+21-15

   =96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

    = 0

f(5)=5^3+7(5)^2+7(5)-15

   =320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

     =0    

f(15)=(15)^3+7(15)^2+7(15)-15

    =5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

     =-1920

Hence the rational roots are 1,-3,-5 !

Algebra help needed. Overwhelmed with other papers. See attached

Answers

Answer:

Step-by-step explanation:

whitch answer how do you want us to answer

this is confusing ok so 1.if there r 2 boys in a class for every 3 girls what would be the ratio for it and 2.if Seth bought a 12-ounce jar of something that is $3.60 what is the unit price?

Answers

1. 2:3 boys to girls
2. You do 3.60 / 12 so it’s 0.30$ per ounce


.angle bisector of any angle of a triangle bisect that angle is_____________ parts ​

Answers

By definition of bisector, the angle bisector of any angle of a triangle divides that angle in two equal parts.

But first you must know the definition of the bisector of a triangle.  The bisector of a triangle is a segment that divides one of its interior angles into two equal parts and continues until it reaches the side opposite that angle.

In other words, the bisector of a triangle is a line that divides each interior angle of the triangle into two equal angles.

Each interior angle of the triangle corresponds to a bisector, so since each triangle has three interior angles, it has three bisectors.  The three bisectors of a triangle meet at a point called the incenter and it is always an interior point of the triangle.

In summary, the bisector of any angle of a triangle is a segment that divides the angle into two equal parts.

Learn more about angle bisector of a angle of a triangle:

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I need to know this answe ASAP

Answers

Answer:

look at the value of f(x) carefully when we put 7 from x the x take 2 value

Step-by-step explanation:

And g(x) function take 4 value. please look at the first option it has extra 2 so 2 plus 2 equal to 4 this means that the answer might be A. But look at D option it multiply by 2 so D option might be correct answer but we need some info and I want to continue. When I put 1 from x f(x)=1 and g(x)= 2 but when we look at the first option it is 1+2 equal to 3 but it must be 2 so the correct answer is not A and the correct answer is D

What is the distance between the following points?

Will give brainliest

Answers

Answer:

√65

Step-by-step explanation:

(-6,4) (-5,-4)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-6)]² + (-4 - 4)²

√(1)² + (-8)²

√1 + 64

√65

[18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y)

Answers

Answer:

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²[/tex]

Step-by-step explanation:

Given

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y)[/tex]

Required

Simplify

We have:

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y)[/tex]

Open brackets

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²[/tex]

Collect like terms

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10 + y\²[/tex]

[tex]x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²[/tex]

Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.

B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50

Answers

Answer:

A. 30+20+10=50+10=60

Step-by-step explanation:

The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.

Hope this helped! Please rate 5 stars and give Brainliest!

A bank wishes to estimate the mean balances owed by customers holding Mastercard. The population standard deviation is estimated to be $300. If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
A. 76
B. 85
C. 86
D. 77

Answers

Answer:

D. 77

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is estimated to be $300

This means that [tex]\sigma = 300[/tex]

If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?

This is n for which M = 80. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]80 = 2.327\frac{300}{\sqrt{n}}[/tex]

[tex]80\sqrt{n} = 2.327*300[/tex]

[tex]\sqrt{n} = \frac{2.327*300}{80}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*300}{80})^2[/tex]

[tex]n = 76.15[/tex]

Rounding up:

77 cardholders should be sampled, and the correct answer is given by option d.

A runner sprinted for 414 feet. How many yards is this?

Answers

Answer:

138 yards

Step-by-step explanation:

1 feet is (1/3) yard

414 feet is (1/3)*414=138 yards

1. Samuel paid #34.20 for a blanket. If the marked price of the blanket is #41.78. What is the discount?

2. A mother buys a dress for her daughter at a discount of 18%. If the price of the dress is #35.00. How does she actually pay for the dress?

Answers

Answer:

1. The discount is 10%

2. 250

Point A is located at (1, 5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the location of point B.

Answers

The required coordinates of point B are (-3, 7) where point M is the midpoint of AB.

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Point A is located at (1, 5), and point M is located at (-1, 6). If point M is the midpoint of AB

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A into the midpoint formula gives us :

-1 = (x+1)/2 ; 6 = (y+5)/2

-2 = x +1 ; 12 = y + 5

x =  -3; y = 7

Therefore, the required coordinates of point B are (-3, 7).

Learn more about the midpoint here :

brainly.com/question/5127660

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An investment pays 21% interest compounded weekly what percent as a decimal is the effective annual yield? Enter your answer as a decimal rounded to four decimal places.

Answers

9514 1404 393

Answer:

  0.2332

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

For weekly compounding, we have n=52, so ...

  e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%

Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20% of the students brought an apple and 35% brought a banana. If 9 students brought oranges, how many students were in the class

Answers

Answer:

20 students

Step-by-step explanation:

Step 1:

Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.

100-(20+35)

=45

Step 2:

Equate the percentage of students who brought oranges to the number of students who brought oranges

45%=9

100%

(100×9)/45

=20 students

complete the square to form a true equation;
x^2-2x+__=(x-__)^2

Answers

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )² to x² - 2x

x² + 2(- 1)x + 1

(x² - 2x + 1 = (x - 1)²

Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?

Answers

Answer:

Hi Keke,

Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.

x + (x-8) + 4(x-8) = 152

6x - 40 = 152

6x = 192

x = 32

Amy has $32

Jose has 32 - 8 = $24

Milan has 4*24 = $96

5(2x-5) = 1/2(18x+40)​

Answers

Answer:

x = 45

Step-by-step explanation:

5 (2x - 5) = 1/2 (18x + 40)​

10x - 25 = 9x + 20

10x = 9x + 45

x = 45

5(2x-5)=1/2(18x+40)10x-25=18x+2010x-18x=20+25-8x=45x=45÷8x=5.62 orx=6

please mark this answer as brainlist

If ABCD is dilated by a factor of 3, the
coordinate of D' would be:
4
с
3
B
2
1
-5
-4
-3
-2
-1 0
1
N
3
4
5
DAN
- 1
-2
D
-3
D' = ([?], [ ]
Enter
Pls help me

Answers

Answer:

(6,-6)

Step-by-step explanation:

First let's identify the current coordinates of D

It appears that D is located at (2 , -2)

Now let's find the coordinate of D if it were dilated by a scale factor of 3.

To find the coordinates of a point after a dilation you simply multiply the x and y values of the pre image coordinates by the scale factor

In this case the scale factor is 3 and the coordinates are (2,-2)

That being said let's apply the dilation rule

Current coordinates: (2,-2)

Scale factor:3

Multiply x and y values by scale factor

(2 * 3 , -2 * 3) --------> (6 , -6)

The coordinates of D' would be (6,-6)

You and your friends have tickets to attend a music concert. While standing in line, the promoter states he will give a gift card for a free album download to each person that is a multiple of 2. He will also give a backstage pass to each fourth person and floor seats to each fifth person. Which person will receive the free album download, backstage pass, and floor seats? Explain the process you used to determine your answer.​

Answers

9514 1404 393

Answer:

  20th

Step-by-step explanation:

The person will receive all gifts if the are all of a multiple of 2, a multiple of 4, and a multiple of 5. Since 4 is already a multiple of 2, the person who will receive all is the one who is a multiple of 4 and 5.

20 is 4×5, so is a multiple of both numbers. There is no smaller number that is a multiple of both 4 and 5.

The 20th person will receive all gifts.

_____

The value we have determined here is called the "least common multiple" (LCM). It is the product of the unique prime factors of the numbers of interest, raised to the highest power that appears in any of the numbers.

  2 = 2¹

  4 = 2²

  5 = 5¹

LCM(2, 4 5) = 2² × 5¹ = 20

The correct answer is the 20th person

how to work this fraction 4/11+5/22+3/44

Answers

Answer:

29/44

Step-by-step explanation:

[tex]\frac{4}{11} +\frac{5}{22} +\frac{3}{44} =\\[/tex]

-find the common denominator

[tex]\frac{4*4}{4*11} + \frac{2*5}{2*22} +\frac{3}{44} =[/tex]

[tex]\frac{16}{44} +\frac{10}{44} +\frac{3}{44} =[/tex]

-add the fractions and solve

[tex]\frac{16+10+3}{44} =[/tex]

[tex]\frac{29}{44}[/tex]

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