Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5​

Domain: (-∞, ∞)

Range: (-∞,1]

Answer:

Domain = All Real Numbers

Range = y≤1

Step-by-step explanation:

Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.

Hope this helps :)

Answer:

I think The parent function is the simplest form of the type of function given g(x)=x^2

Step-by-step explanation:

Given:

[tex]\angle WXY=82^\circ[/tex]

It underwent a sequence of two rotations around different centers.

To find:

The size of the angle WXY after the sequence of rotations.

Solution:

We know that, rotation is a rigid transformation. It means, the size and shape of the figure remains the same after the rotations. It other words, the figure and its image are congruent after rotation.

So, the measure of angle WXY remains same after the sequence of rotations, i.e.,

[tex]\angle W''X''Y''=82^\circ[/tex]

where, [tex]\angle W'X"Y"[/tex] is the image of [tex]\angle WXY[/tex]  after the sequence of rotations.

Therefore, the size of the angle WXY after the sequence of rotations is 82°.

Answer:

C) x=8

Step-by-step explanation:

180=40+(8x-24)+(6x+10)

180=26+14x

154=14x

11=x

[tex]11\neq8[/tex]

Answer:

1. (100-5) × (100+3) = 10000 + 300 - 500 - 15

=> 10300 - 515 = 9785

2. (500+1) × (500+2) = 250000 + 1000 + 500 + 2

=> 251502

Answer:

5b is the coefficent.

A coefficent is an integer multiplied by a variable. 5 is being multiplied by b.

5(b)

Answer:

C the 3 one is the answer

Answer:

The first and the third answer!

Step-by-step explanation:

The slope is NOT -6, it is -3/2 !!

The y intercept is 0

and the last one isn't right bc the slope and intercept is wrong!!!

I hope this helps, tho!! Have an awesome day :D

Answer:

x<6 is the answerrrrr

Step-by-step explanation:

hope it helps give me brainliest

Step-by-step explanation:

Since 81 = 9² and 72 = 9 * 8,

81 + 72 = 9(9 + 8) = 9 * 17.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression 81+72 as a product using GCF as one of the factors can be written as,

81+72

= 9(9+8)

Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

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Answer:

Depreciation and Written Down Value for first 5 years of purchase is explained.

Step-by-step explanation:

The Car was purchased for $18000 this will be depreciated at a rate of 20% per year.

Declining Method

Year 1

$18,000 * 20% = $3,600 Depreciation

$18,000 - $3,600 = $14,400 Written Down Value WDV

Year 2

$14,400 * 20% = $2,880 Depreciation

$14,400 - $2,880 = $11,520 WDV

Year 3

$11,520 * 20% = $2,304 Depreciation

$11,520 - $2,304 = $9,216 WDV

Year 4

$9,216 * 20% = $1,843 Depreciation

$9,216 - $1,843 = $7,373 WDV

Year 5

$7,373 * 20% = $1,475 Depreciation

$7,373 - $1,475 = 5,898 WDV

Answer:

1.32 * 10^2

Step-by-step explanation:

Given the expression;

(5×10−3)+(6×10−3)2.2×10^4

First we need to do the multiplication first;

= (5×10−3)+(13.2×10−3+4)

= (5×10−3)+(13.2×10^1)

= 0.005 + 132

= 132.005

= 1.32 * 10^2

Hence the equivalent expression is 1.32.0 * 10^2

Answer:

x = 45

y = 60

Step-by-step explanation:

2x = 90

2x (1/2) = 90 (1/2)

x = 45

3y - 2y = 90

3y - 2(45) = 90

3y - 90 = 90

3y - 90 (+90) = 90 (+90)

3y = 180

3y (1/3) = 180 (1/3)

y = 60

Hope this helps :)

Answer:

The sum of all the possible distinct sum is 128

Step-by-step explanation:

The number of balls in the bag = 3

The ball labels, (the numbers written on the balls) = 2, 4, and 8

The number of balls selected with replacement = 1

Therefore, we have have, the number of ways of selecting 1 ball from 3 = 3 ways

The distinct combination of the selected balls are;

2, 2, 2 with sum 2 + 2 + 2 = 6

2, 2, 4 with sum 2 + 2 + 4 = 8

2, 2, 8 with sum 2 + 2 + 8 = 12

2, 4, 4 with sum 2 + 4 + 4 = 10

2, 4, 8 with sum 2 + 4 + 8 = 14

2, 8, 8 with sum 2 + 8 + 8 = 18

4, 4, 4 with sum 4 + 4 + 4 = 12

4, 4, 8 with sum 4 + 4 + 8 = 16

8, 8, 4 with sum 8 + 8 + 4 = 20

8, 8. 8 with sum 8 + 8 + 8 = 24

The distinct sums are therefore;

6, 8, 12, 10, 14, 18, 16, 20, 24

The sum of the distinct sum is 6 + 8 + 12 + 10 + 14 + 18 + 16 + 20 + 24 = 128.

Answer: 128

Step-by-step explanation:  

Any sum formed by a combination of the numbers 2, 4, 8  and  must be divisible by 2. The smallest possible value of such a sum is equal to 3*2=6 , and the largest possible value of such a sum is equal to 3*8=24 . After testing, we find that

6 = 2+2+2,    8=4+2+2,    10=4+4+2

12 = 4+4+4,    14 = 8+4+2,   16 = 8+4+4

18 = 8+8+2,   20 = 8+8+4,    24 = 8+8+8

 However, we cannot find a combination that will add to be 22: if two of the numbers are not 8, then the maximum possible sum is 4+4+8 = 16. Thus, two of the numbers picked must be 8, but then the third ball must have the number 6, which is not possible. Thus, the answer is the sum of the even numbers from 6 to 24 excluding 22, which is 128 .

Answer:

x≥−  

7

13

​

Step-by-step explanation:

-7x<=13

The measure of the angle x in the right triangle is 67 degrees.

A right angle triangle has one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore,

x + 90 + 23 = 180

x + 113 = 180

x + 113 - 113 = 180 - 113

x = 67°

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Answer:

3

Step-by-step explanation:

2times3=6

Answer:

x = 34

Step-by-step explanation:

∠ PSR and ∠ TSU are vertical angles and congruent, then

∠ PSR = 4x, thus ∠ PSQ = x

The exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ SQR is an exterior angle of Δ PQS , thus

x + x = 68

2x = 68 ( divide both sides by 2 )

x = 34

Answer:

X = 34°

Step-by-step explanation:

In order to solve this question we will need to know the following, when two lines intersect the opposite angles at that point are equal to each other, that the sum of all angles of a triangle is 180 degrees, and that the angle of a straight line is equal to 180 degrees.

Frist we will have to notice that ∠TSU is equal to ∠PSR, because they are opposite to each other (If you would like to understand this more you can research on a topic call "vertical angels"). Now it is important to understand the following.

∠PSR  = ∠PSQ + QSR

Since ∠PSR = ∠TSU = 4x, ∠QSR = 3x ⇒

⇒ ∠PSR  = ∠PSQ + QSR

   4x = ∠PSQ + 3x

   4x - 3x = ∠PSQ

   x = ∠PSQ

Now, since the sum of all angles in a triangle is equal to 180 we can now say the following:

∠QPS + ∠PSQ + ∠PQS = 180°

In order to find out what PQS is equal to we need to use our knowledge about the angel of a strait line (the angel of a strait line is equal to 180°).

So now we can say the following:

180° = ∠PQS + SQR

∠PQS = 180° - ∠SQR

Since we know that ∠SQR = 68° ⇒

⇒∠PQS = 180° - ∠SQR

  ∠PQS = 180° - 68°

  ∠PQS = 112°

Since ∠QPS = x, PSQ = x, and ∠PQS = 112° ⇒

⇒ ∠QPS + ∠PSQ + ∠PQS = 180°

   x + x + 112° = 180°

  2x = 180° - 112°

  2x = 68°

  x = 34°

Answer:

-22

Step-by-step explanation:

Answer:

ian just wasted the last bit of coffee.

Step-by-step explanation:

Answer:

3.30

Step-by-step explanation:

Answer:

The radical form of 3 2/3 is

[tex] \sqrt[3]{3 {}^{2} } [/tex]

Answer:

1

Step-by-step explanation:

you can just use trial and error

I hope that this helps!

Answer:

3x = 3 + 2y -------------> 3x - 2y = 3 {subtracted 2y from each side of top equation}

(-4/3)x + y = -2/3 ------> -4x + 3y = -2 {multiplied bottom equation by 3}

3x - 2y = 3 ------> 12x - 8y = 12 {multiplied top equation by 4}

-4x + 3y = -2-----> -12x + 9y = -6 {multiplied bottom equation by 3}

12x - 8y = 12

-12x + 9y = -6

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

y = 6 {added the two equations}

3x = 3 + 2y {original top equation}

3x = 3 + 2(6) {substituted 6, in for y, into top equation}

3x = 3 + 12 {multiplied}

3x = 15 {added}

x = 5 {divided each side by 3}

x = 5 and y = 6

Step-by-step explanation:

Answer:

x= 0

y= -1

Step-by-step explanation:

Hope this helps.

The number of people increased by 2.

This means as a ratio it is now 6/4 as many as originally planned.

6/4 can be reduced to 3/2.

The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.

This means the length of time the food lasts is reduced by 1/3, which is 33.3%

Answer:

C:124

Step-by-step explanation:

10+2=12

30+20=50

10+30=40

2+20=22

12+50+40+22=124

Answer:

3/5

Step-by-step explanation:

It rose 3 and ran 5 (rise over run)