How can you determine if a point is a solution to a system of linear equations?
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Answer:

y ≤ −6x−21

Step-by-step explanation:

-12x – 2y ≥ –42

– 2y ≥ 12x –42

-2(– 2y ≥ 12x –42)

y ≤ −6x−21

really need brainliest!

Answer:

the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21

Step-by-step explanation:

Answer:

The lines represent the inequalities .

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points   and   can be expressed as,

Given:

The inequalities are as follows.

a. x – 5y < –5 and y < –2x – 4

b. x + 5y > 5 and y < 2x + 4

c. x – 5y < –5 and y < –2x + 4

d. x + 5y > 5 and y < 2x – 4

Step-by-step explanation:

The blue line intersects y-axis at , therefore the y-intercept is 4.

The blue line intersect the points that are  and .

The slope of the line can be obtained as follows.

The slope of the line is m = 2.

Now check whether the inequality included origin or not.

Substitute  in equation y=x+1.

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the blue line is y < 2x + 4.

The orange line intersects y-axis at , therefore the y-intercept is 1.

The orange line intersect the points that are  and  .

The slope of the line can be obtained as follows.

The slope of the line is m =  .

Now check whether the inequality included origin or not.

Substitute  in equation y > .

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the orange line is y > .

Solve the equation y > .

The equation of orange line is 5y + x > 5.

Option (a) is not correct as it satisfy the inequalities of the graph.

Option (b) is correct as it satisfy the inequalities of the graph.

Option (c) is not correct as it satisfy the inequalities of the graph.

Option (d) is is not correct as it satisfy the inequalities of the graph.

Hence,  is correct.

Answer:

b

Step-by-step explanation:

Answer:

He could save $ 165

Step-by-step explanation:

Discount = 30% of 550

[tex]=\frac{30}{100}*550\\\\=3*55[/tex]

= $ 165

Answer:

the TV after the discount will cost 385.00 dollars and you would have saved 165.00 dollars! hope this helped :D

Answer:

210-300=-90

Step-by-step explanation:hope this helps plz mrk me brainliest

Answer:

The red line has a slope of -1

Step-by-step explanation:

This is because parallel lines have the same slope with a different y intercept.

If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

Answer:

Reduction; enlargement

Step-by-step explanation:

When the scale factor is between 0 and 1, the figure  shrinks, making it a reduction in size.  When its greater than 1, the figure grows, enlarging it.  If the scale factor is 1, the figure stays the same and doesn't shrink or grow.

Answer:

Answer is below

Step-by-step explanation:

A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.

If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.

Answer:

?

Step-by-step explanation:

1.add all numbers up.

2. put each number onto a fraction.

3. then the rest you should know

Answer: 16 days.

Step-by-step explanation:

I will answer this in English.

An aritmetic series works in the next way.

if the first therm is A.

Then the second therm is A + r

the third therm is A + r + r

and so on.

Where A is the initial value and r is a constant.

Here the first term is A = 1

The second term is 3, we can find the value of r as:

3 - 1 = r = 2

Then our series is:

Kₙ₊₁ = Kₙ + 2

where K₁ = 1

We know that in total he bought 225 figures, then we have the sumation:

∑Kₙ

and we want to find the value of n.

the sum of the first n terms is:

Sn = (n/2)*(K₁ + Kₙ)

where Kₙ = 1 + n*2 and K₁ = 1

so we must solve:

225 = (n/2)*(1 + 1 + n*2) = n + n^2

So we must solve the quadratic equation:

n^2 + n - 225 = 0

the solutions are:

[tex]n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}[/tex]

So we have two solutions:

n = 29/3 = 14-.5

n = -31/2 = -15.5

We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.

So he bought figures for 16 days.

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

Answer:

The range is all values greater than or equal to -1

y : y≥-1

Step-by-step explanation:

f(x)=(x-4)(x-2)

This functions is an upwards facing parabola.  This means it has a minimum

The minimum is 1/2 way between the zeros

0=(x-4)(x-2)

x-4 =0   x-2 =0

The zeros are at 4 and 2

(4+2)/2 = 6/2 =3

The minimum is at x=3

The minimum value is at

f(3) = (3-4) (3-2) = -1 (1) =-1

The range is all values greater than or equal to -1

y : y≥-1

Answer:

Range: y 》-1

Step-by-step explanation:

f(x) = (x - 2)(x - 4)

f(x) = x² - 2x - 4x + 8

f(x) = x² - 6x + 8

f(x) = x² - 2(x)(3) + 3² - 3² + 8

f(x) = (x - 3)² - 1

Vertex: (3,-1)

Minimum value: -1

Range: y 》-1

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

Answer:

StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)

A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

B. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot

C. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

D. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

The simplified product of the expression as given is; Choice A: 24x³√5x - 4x²√10x

First, we must expand the parenthesis as follows;

[tex]2 \sqrt{8 {x}^{3} } (3 \sqrt{10 {x}^{4} } - x \sqrt{5 {x}^{2} } )[/tex]

In essence; we have;

Read more;

https://brainly.com/question/10942636

Answer:

  see below

Step-by-step explanation:

When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.

__

In the attached, we have used ...

  r² = x² +y²

  √20 = 2√5

  √36 = 6

  √25 = 5

and 1/(2√5) = √5/10. (The division is outside the radical.)

Answer:

original price of skateboard = $54

Step-by-step explanation:

Let the original price of the skateboard be x

selling price = one third off the original price = $36

x - (1/3x) = 36

[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]

[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]

∴ x = 54

Answer:

A) 348m^2

Step-by-step explanation:

you just find the area of each individual shape then and all the sides together

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

[tex]2\frac{1}{2}[/tex]

Answer:

a < 4

Step-by-step explanation:

7 + a < 11

Subtract 7 from each side

7+a-7 <11-7

a < 4

Answer: a=3

Step-by-step explanation:

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Answer:

The last 4th one is correct

Answer:

Radius= 5.0ft ( given)

Step-by-step explanation:

Given: Volume of cone= 50π ft^3

Height of cone= 6ft

Required: Radius

Volume of cone= 1/3 * π * r^2 *h

(or)

r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )

= (50 π *3)/(6)π

= 50/2 (because, 3 π /6 π = 1/2)

r^2 = 25

now, r =√25= 5.0 ft

Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)

Answer:

5

Step-by-step explanation:

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

Answer:

17 1/8 km

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

The common denominator is 8

6 7/8 already has a denominator of 8

5 1/2 = 5 1/2*4/4 = 5 4/8

4 3/4 *2/2 = 4 6/8

6 7/8 + 5 4/8 + 4 6/8

15 17/8

15 + 8/8+ 8/8+1/8

15 + 1 + 1 + 1/8

17 1/8

Answer:

[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

Turn to improper fractions.

55/8 + 11/2 + 19/4

Make denominator equal by LCM.

55/8 + 44/8 + 38/8

Add fractions because they have same denominators.

137/8

Turn to mixed fraction.

17 × 8 = 136   + 1

17 1/8

Answer:]]

The slope of these two linear equations is the same so the would be Parallel.

y = mX + B where m is the slope.

In this case the slope is 1 for both equations.

y = x -2

y = x + 10

They would be exactly 12 units apart too.

Step-by-step explanation:

Answer:

210 adult tickets were sold

Step-by-step explanation:

let x be the number of adult tickets sold

let y be the number of children tickets sold

x+y=260 equation 1

9x+5y=2140 equation 2

multiply equation 1 by 5

multiply equation 2 by 1

5x+5y=1300

9x+5y=2140

subtract equation 1 from 2

4x=840

x=840/4 =210  tickets

substitute for x in equation 1

210+y=260

y=260-210=50

Answer:

Step-by-step explanation:

a) The domain is R- all real numbers.

b) The domain is R- all real numbers.

c) we need

[tex]x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2[/tex]

So the domain is R\{-2, 2}

d)

we need

[tex]x^{2}+x-2\neq 0\\x\neq 1\\and\\x\neq -2[/tex]

So the domain is R\{-2, 1}

e)

we need: x-1>0 or x> 1

So the domain is (1,+∞)

Answer:

The answer is sandy

Step-by-step explanation:

18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon

hope this helped <3

Answer:

6

Step-by-step explanation:

[tex] \frac{4}{1} \div \frac{2}{3} \\ = \frac{4}{1} \times \frac{3}{2} \\ = \frac{12}{2} \\ = 6[/tex]

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]4 \div \frac{2}{3} \\ \frac{4}{1} \div \frac{2}{3} \\ \frac{4}{1} \times \frac{3}{2} \\ \frac{12}{2} \\ = 6[/tex]