Tell whether the ordered pair is a solution to the inequality.

Answer:

[tex]3x + 2y - 1 = 0 \\ 2y = - 3x + 1 \\ y = - \frac{3}{2} x + \frac{1}{2} \\ from \: general \: equation \: \: y = mx + c \\ by \: comparison \\ m = - \frac{3}{2} \\ c = \frac{1}{2} [/tex]

The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation in the standard form is given below.

3x + 2y - 1 = 0

Separate 'y', then we have

3x + 2y - 1 = 0

2y = -3x + 1

y = -(3/2)x + 1/2

Compare the equation with the slope-intercept line.

m = - 3/2

c = 1/2

The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.

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Answer:

[tex]7p - ( - 5) + ( - 1) \\ = 7p + 5 - 1 \\ = 7p + 4[/tex]

Answer:7p+4 :)

Step-by-step explanation:

Step-by-step explanation:

Given that,

For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.

For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.

We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.

In July, total distance is ,

[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]

In June, total distance is :

[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]

Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.



Answer:

Step-by-step explanation:

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Answer:

9 inches

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

For the equation to have more than one solution, that is infinite solutions, then both sides should be equal.

left side is

5u + 3(4u - 6)

= 5u + 12u - 18 = 17u - 18

right side is

- 3u - 27 + 20u

= 17u - 27 ← require to add 9 so equal to left side, that is

17u - 27 + 9

= 17u - 18

Answer:

D just imagine a straight flat line going through y=4

The triangle is an acute triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of angles of the triangle are

The measure of ∠ABC = 50°

The measure of ∠BAC = 50°

The measure of ∠ACB = 80°

So , all the angles of the triangle are less than 90°

So , it is an acute triangle

Hence , the triangle is acute

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Answer:

Step-by-step explanation:

√ = divided into

         [tex]x^{2}[/tex]- 4x -12

x+4 √ [tex]x^{3}[/tex]- 0[tex]x^{2}[/tex] -28x -48

       -([tex]x^{3}[/tex] + 4[tex]x^{2}[/tex])

               -4[tex]x^{2}[/tex]-28x-48

              -(-4[tex]x^{2}[/tex]-16x)

                       -12x - 48

                      -(-12x - 48)

                                  0 Remainder

so the answer is D  

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given as,

P(x) = x³ - 28x - 48

Let's check if x + 4 = 0 is a factor or not. Then we have

x + 4 = 0

x = - 4

At x = -4, the value of the polynomial is given as,

P(x) = (-4)³ - 28(-4) - 48

P(x) = - 64 + 112 - 48

P(x) = - 112 + 112

P(x) = 0

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

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Answer:

0

Step-by-step explanation:

Answer:

-500

Step-by-step explanation:

(2a^4)^2

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

a^0 a^5

We know ( xy) ^z = x^z y^z

so

(2a^4)^2 = 2^2 a^4^2

and x^y^z =x^(y*z)  so a^4^2 = a^(4*2) = a^8

(2a^4)^2 = 4 a^8

We know that a^0 = 1

4 a^8

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

1 a^5

We know x^y / x^z = x^ ( y-z)

4 a^( 8-5)

4 a^3

Let a = -5

4 ( -5) ^3

4 ( -125)

-500

Answer:

He is right it is -500

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  162 cm

Step-by-step explanation:

The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.

  RD = 3·54 cm

  RD = 162 cm

Answer:

20 pictures.

Step-by-step explanation:

In this question, we need to find out how many pictures Milan printed.

We know that the film processing costed $4.95 and each picture that was printed costed $0.35.

Lets turn this into an equation with x representing the amount of pictures:

y = 0.35x+ 4.95

Now we need to solve the equation. We can do this by plugging in our known cost, 11.95, into "y".

Solve:

11.95 = 0.35x + 4.95

Subtract 4.95 from both sides.

7 = 0.35x

Divide both sides by 0.35

20 = x

Milan printed 20 pictures.

Answer:

Step-by-step explanation:

2) They distributed an x out of the term with out one.  that is the 8

so the expression should be  5x +8

3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7  :O  very bad of them

the expression should be  7x + 54

4) They distributed out the y but didn't leave a 1 so the problem lost a term.

the expression should be -6x + 7y

Answer:

3/2

Step-by-step explanation:

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

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

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

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

Answer:

3/2

To convert 11/2 to a whole fraction

you multiply

the whole number (1) with the denominator (2) and add the numerator

1×2+1/2

=3/2

Answer:

25yd^3

Step-by-step explanation:

V= lwh/3

5×3×5/3

25

Answer:

25 yd^3

Step-by-step explanation:

V=lwh/3

V=5*3*5/3

V=75/3

V=25

Answer: 7

Step-by-step explanation:

Answer:

⬇️⬇️⬇️

Step-by-step explanation:

2x + y = 8 is the equation of a straight line. ... By substituting y = 0 into the equation we will find the corresponding x-coordinate at this point. y = 0 : 2x = 8 and so x = 4 hence point (4 , 0 ) on the x-axis

Answer:

assuming that the equations are equal to zero the answers would be

3   ,   -3    ,  5

Step-by-step explanation:

Answer:

Answer and steps in the picture

Answer:

Step-by-step explanation:

1/2

Answer:

He does not have enough money

Step-by-step explanation:

Step one:

given data

The total money that Goerge has is $15

Expenses to incure

to see a movie ($9.00) and

to buy a pretzel ($2.65),

a drink ($1.35 ), and

two veggie cups ($1.74 each)= 1.74*2= $3.48

Totoal expenses= 9+2.65+1.35+3.48= $16.48

Step two:

The deficit that George will have is 16.48-15= $1.48

Hence he does not have enough money

Answer:

13.48

(Is the answer to the math problem)

Answer:

32

Step-by-step explanation:

ik

Answer:

L=22

Step-by-step explanation:

158+l=180

180-158=22

l=22

Answer:

We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.

Please check the attached graph.

Step-by-step explanation:

Given the parent function

y = x²

Given the transformed function

y = (x - 12)²

Horizontal Translation:

The horizontal translation of y = x² is of the form

f(x-h)

so y = y = (x - 12)² means y = x² is shifted 12 right.

Vertical Translation:

y = x²

Then y = x² + b is a vertical translation of y = x²

if b > 0, then y = x² + b is the graph of y = x² 'b' units up.

if b < 0, then y = x² + b is the graph of y = x² 'b' units down.

Thus, y = x² + 3 means the graph y = x²  is vertically shifted up by 2 units.

Please check the attached graph.

Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.

Answer:

Shift the graph of y = x2 right 12 units and then up 3 units.

Step-by-step explanation:

ghost app at yofav_tai

Answer:

A) y=4x

B) Linear

c) can't see the vocab bank

Step-by-step explanation:

Answer:

one-third

Step-by-step explanation:

                                                         A          B

<-------+---------+---------+---------+--------+---------+---------+--------------->

         0                                   1       1 1/3     1 2/3        2

Since each unit is divided into three equal spaces, each space is 1/3 of a unit.

Between any two consecutive marks, the distance is 1/3 unit.

Answer: one-third