What value of x is in the solution set of 2x-3> 11 - 5x?
-3
2

Answer:

Hi, the Answer is 0.75.

Step-by-step explanation:

it is 0.75 because if you look on the graph, and you calculate the 3/4 slope between the two, 3/4= 0.75

Answer:

A) 0.75 meters per hour

Step-by-step explanation:

Answer:

the answer is 8x^2+xy-15y^2

Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer:

We have 2 rational solutions

0 irrational solutions

0 complex solutions

Step-by-step explanation:

a^2 + 8a + 12 = 0

Using the discriminant

b^2 -4ac where ax^2 + bx+ c

so a =1  b = 8 and c = 12

8^2 -4(1)*12

64 - 48

16

Since the discriminant is greater than 0, we have 2 real solutions

since we can take the square root of 16, we have rational solutions

We have 2 rational solutions

Since this is a quadratic equations, there are only 2 solutions so there are

0 irrational solutions

0 complex solutions

Answer:

2 Rational Solutions

0 Irrational Solutions

0 Complex Solutions

Step-by-step explanation:

The discriminant of the quadratic formula is the name given to the portion underneath the radical (or the square root)"

[tex]x = \frac{1}{2} (-b\frac{ + }{ - } \sqrt{ {b}^{2} - 4ac })[/tex]

Discriminant = D = b²-4ac

If D is less than 0 you have two complex solutions.

If D is equal to 0 you'll have one real solution.

If D is bigger than 0 you'll get two real solutions.

So here we have:

a=1

b=8

c=12

Which means D=64-4(1)(12)=64-48=16>0

D is bigger than 0, so you'll have two real solutions. And since 16 is a perfect square, they'll both be rational numbers.

Answer:

The slope is  [tex]s =[/tex] $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]

     The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50

     The weight of a Beagle is  [tex]w_2 = 30 \ pound[/tex]

     The cost of feed a Beagle per week is  [tex]c_2 =[/tex]$9.20

Now the slope can be evaluated mathematically as

           [tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]

substituting values

            [tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]

           [tex]s =[/tex] $0.1774 / pounds

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

[tex]y=-3x[/tex]

Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].

Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

Answer:

centre=(0,3) radius =5

Step-by-step explanation:

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Answer:

k = 4

Step-by-step explanation:

Step 1: Distribute

-14k + 21 = -35

Step 2: Subtract 21 on both sides

-14k = -56

Step 3: Divide both sides by -14

k = 4

Answer:

-14, -14, -56, 4.

Step-by-step explanation:

-7(2k-3)=-35

-14k + 21 = -35

-14k = -56

k = 4

So, your answers should be -14, -14, -56, 4.

Hope this helps!

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 7[/tex]

[tex]c = 2 \times \pi \times 7[/tex]

[tex]c = 14\pi \: \: cm[/tex]

Answer:

14[tex]\pi[/tex]

units = cm

Step-by-step explanation:

circumference = 2 x [tex]\pi[/tex] x r

c = 2 x [tex]\pi[/tex] x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x [tex]\pi[/tex]

c = 43.98229715

in terms of pi c = 14 [tex]\pi[/tex]

units = cm

Answer:

BA=BC

Step-by-step explanation:

Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

Answer:

-270

Step-by-step explanation:

Here, we want to know the coefficient of the fourth term.

The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1

So the expansion looks as follows;

1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........

So the fourth term we are dealing with is

10[(-x)^2(-3)^3)]

So the value here is

10 * x^2 * -27

= -270 x^2

So the coefficient is -270

Answer:

[tex] - 5 \sqrt{ - 2} [/tex]

Step-by-step explanation:

We can write sq root (- 18) as = sq root [3 x 3 x (-2)]

Similarly sq root ( - 8) = sq root [2 x 2 x (-2)]

2 sq root [2 x 2 x (-2)] - 3 sq root [3 x 3 x(-2)]

We simply,

2 x2 sq root (-2) - 3 x 3 sq root (-3)

4 sq root (-2) - 9 sq root (-2)

Bcoz sq root (-2) is common in bot term so

So

Sq root (-2) (4-9)

-5 sq root (-2) answer

Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

Answer:

v=11/5 or v=2.2

Step-by-step explanation:

The wording of this question is a little confusing but if it says what I think it does (5/3v+4=8-1/3) then this is the answer.

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

[tex]The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0[/tex]

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

Answer:

B) (2,0) and (0,-4)

Step-by-step explanation:

The answer to the system of equations is where the two intersect on the graph, in this case on the points (2,0) and (0,-4)

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you