Graph the system of linear inequalities.
y > 2x − 2
y < 2x + 3

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

Answer:

36.6 - 24 × 4 ÷ 3 =

= 36.6 -96 ÷3 =

= 36.6 - 32 =

= 4.6

Answer:

5,120

Step-by-step explanation:

After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

The formula for compound interest is given:

[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]

Where:

A = the final amount,

P = the principal amount,

r = the annual interest rate (as a decimal),

n = the number of times the interest is compounded per year,

t = the number of years,

In this case, we have:

P = $3,000

r = 0.05

n = 1 (compounded annually)

t = 3

Plugging in these values, we get:

[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]

A = $3,000(1.05)^3

A = $3,000(1.157625)

A = $3,472.88

Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

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Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

Step-by-step explanation:

I think no. c is correct

if it helps you then plzz mark me brainliest

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

Answer:

Look at the graphs attached

Step-by-step explanation:

The first graph is for a).

Second is for b)

I recommend you use DESMOS to help visualize the graphs :)

Answer:

a

Step-by-step explanation:

because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝

Answer:

Both 1 and 2!

Answer:

22

Step-by-step explanation:

Answer:meh

I don’t know

Step-by-step explanation:

I don’t know SHANANSIZT SJEHSGSVSB

Answer:

if i remember is B

Step-by-step explanation:

Answer:

3 3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

( 3m + 2) (4m-3)

Answer:

I can't this type of mathematics

Answer:

29) x = 12

30) x = 6

31) x = -4

32) x = 5

Not sure if the degree symbol is needed for the answer.

Step-by-step explanation:

Apply angle sum of triangles to all 4 questions.

29) (3x + 4) + 50 + 90 = 180 i.e. x = 12

30) (8x + 7) + 35 + 90 = 180 i.e. x = 6

31) 64 + 65 + (x + 55) = 180 i.e. x = -4

32) 70 + 35 + (14x + 5) = 180 i.e. x = 5

Answer:

0.38

Step-by-step explanation:

I hope this helps you with your test :)

Answer:

0.38

Step-by-step explanation:

.38 is before .47

Answer: the equation would be 8h=240

h=30

Step-by-step explanation:

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Answer:

14) x = 6 and y = 8

15) x = -1 and y = 1

16) x = 7 and y = 10

Step-by-step explanation:

14) From the given parallelogram, we can say that;

PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.

Thus;

If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;

PT = TR

2x = y + 4

y = 2x - 4 - - - eq 1

Also;

QT = QS

x + 2 = y - - - eq 2

Put x + 2 for y in eq 1 to get:

x + 2 = 2x - 4

2x - x = 4 + 2

x = 6

Put 6 for x in eq 2 to get;

6 + 2 = y

y = 8

15) similarly from above;

x + 2 = y - - - eq 1

2x = y + 3

y = 2x + 3 - - - eq 2

Put 2x + 3 for y in eq 1;

x + 2 = 2x + 3

2x - x = 2 - 3

x = -1

Put -1 for x in eq 1 to gwt;

-1 + 2 = y

y = 1

16) similarly again;

y = x + 3 - - - (eq 1)

2y = 3x - 1 - - - (eq 2)

Put x + 3 for y in eq 2;

2(x + 3) = 3x - 1

2x + 6 = 3x - 1

3x - 2x = 6 + 1

x = 7

Put 7 for x in eq 1;

y = 7 + 3

y = 10

Thus, x = 7 and y = 10

We need to write out algebraic equations to describe the information we have, then solve them using substitution.

We will define length as a and width as b.

we know that a x b = 1600 cm3  (area = length x width)

and a=4b

So, we can substitute the vaule 4b for a in the first equation:

4b x b = 1600  

we can simplify to 4b2 = 1600

divide both sides by 4:

b2 = 400

take the square root of each side:

b = √400

b=20

So we know the width = 20

length = 4  x width = 80

Answer:

multiply the legth times width

Step-by-step explanation:

Answer:

b is the right answer bc all the others r wrong

Answer:

coordinates of the orthocenter = (8, 6)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(5,3), B(8,6), C(0,14)

Thus;

Slope of AC; m = (14 - 3)/(0 - 5)

m = -11/5

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11

Thus, equation of BE is;

(y - 6) = (5/11)(x - 8)

Multiply through by 11 to get;

11y - 66 = 5x - 40

11y - 5x = 66 - 40

11y - 5x = 26

Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 3) = 1(x - 5)

y - 3 = x - 5

y = x - 5 + 3

y = x - 2

Putting x - 2 for y in equation of BE, we have;

11(x - 2) - 5x = 26

11x - 22 - 5x = 26

6x - 22 = 26

6x = 26 + 22

6x = 48

x = 48/6

x = 8

Put 8 for x in equation AD, then y = 8 - 2 = 6

coordinates of the orthocenter = (8, 6)