What is the largest value of x for which the following equation has a real solution (x,y)?

The system of linear inequalities are given by the in the question, that

describes the inequalities.

The system of linear inequalities represented by the graph is the option;

Reasons:

The points on the given graph are;

(3, 4), and (-3, 2)

The slope is; (2 - 4)÷((-3) - 3) = 1/3

The equation is;

y - 4 = (1/3)·(x - 3)

y = (1/3)·x - 1 + 4 = (1/3)·x + 3

Therefore;

Point on the second graph are;

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

The slope is; (4 - (-2)) ÷ (2 - 0) = 3

The equation is; y - (-2) = 3·(x - 0)

y = 3·x - 2

Which gives;

2 < 3·x - y

Therefore;

3·x - y > 2

The correct option is the first option;

Learn more about linear inequalities here:

https://brainly.com/question/371134

If one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

What do we know?

We know that there are 15 billiard balls.

We also know that balls numbered 1 through 8 are solid-colored, so we have 8 solid-colored balls.

And the other 7 balls are striped.

Now we want to find the probability for a randomly selected ball to be a striped ball.

Because all the balls have the same probability of being randomly selected, the probability of randomly selecting a striped ball is equal to the quotient between the number of striped balls (7) and the total number of balls (15).

Then we have:

P = 7/15 = 0.467

That quotient is also what is called the "odds"

So if one ball is selected at random, the odds for it being striped are 7 out of 15, or 7/15.

If you want to learn more, you can read:

https://brainly.com/question/23044118

Answer:

157 cm²

Step-by-step explanation:

A cylinder is given to us and we need to find out the lateral surface area of the cylinder . We can see that the ,

Height = 5cm

Radius = 5cm

We know that we can find the lateral surface area of the cylinder as ,

[tex]\rm\implies LSA_{cylinder}= 2\pi r h [/tex]

Substitute upon the respective values ,

[tex]\rm\implies LSA = 2 \times 3.14 \times 5cm \times 5cm [/tex]

Multiply the numbers ,

[tex]\rm\implies \boxed{\blue{\rm LSA = 157 \ cm^2 }}[/tex]

Hence the Lateral surface area of the cylinder is 157 cm² .

[tex] \setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5cm}}\put(9,17.5){\sf{5cm}}\end{picture}[/tex]

Answer:

314.2 is the Surface area

Step-by-step explanation:

Hope it Helps! If you have any questions, feel free to comment! :)

2π(5)(5)+2π(5^2)

2π(25)+2[tex]\pi[/tex](25)

50π+50π=100π

314.2 is the answer. That's what we get after rounding up! :)

Answer:

Step-by-step explanation:

slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5

slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3

product of the slopes = -1, so the lines are perpendicular.

False. Let f(x) be an integrable function that is concave on an interval [a, b] in its domain. "Concave" here means that the secant line drawn from (a, f(a)) to (b, f(b)) lies below the graph of f(x).

9514 1404 393

Answer:

  12

Step-by-step explanation:

Apparently, you want the sum a+b when ...

  [tex]\[\displaystyle\frac{\sqrt{600} + \sqrt{150} + 4\sqrt{54}}{6\sqrt{32} - 3\sqrt{50} - \sqrt{72}} = a\sqrt{b},\][/tex]

A calculator can show you the expression on the left evaluates to √243. In simplest terms, that is 9√3, so we have a=9, b=3 and ...

  a+b = 9+3 = 12

Answer:

12

Step-by-step explanation:

Answer: 3 shelves

Step-by-step explanation:

12 ÷ 3.1 = 3.87…

Since this is more than 3 but less than 4, we can build 3 full shelves with a leftover.

Answer:

D.

Step-by-step explanation:

Since the unit rate is in dollars per pound, we divide the cost (in dollars) by the weight (in pounds.)

($7.45)/(2.5 lb) = $2.98 per pound

Answer: D.

Answer:

1.047734151

Step-by-step explanation:

Type into calculator

1/2sin(2x)+cos(3x)

Answer:

Number of 7-digit numbers that can be made from the digit is 576

Step-by-step explanation:

Given the data in the question;

digits ⇒ 1, 2, 3, 4, 5, 6, 7

Number of odd numbers in the given digits = 4

Number of even numbers in the given digits = 3

now, we take the odd digits as a single unit.

so, number of ways the odd digits can be arranged with the unit will be 4!.

Now, lets consider the unit of 4 odd digits with 3 even digits.

there are 4 units.

so the number of possible arrangements of these 4 units = 4!

hence, Number of 7-digit numbers that can be made from the digits will be;

⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.

⇒ 4! × 4!

⇒ 576

Therefore, Number of 7-digit numbers that can be made from the digit is 576

Answer:

x=9

Step-by-step explanation:

[tex]\sqrt{x}[/tex]=3

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

x=9

Answer:

168).  C

169).  C

170).  C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

All angles in a triangle add up to 180 degrees.

So, 70 + 56 = 126, 180 - 126 = 54.

Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.

Answer:

32[tex]\pi[/tex]/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3[tex]\pi[/tex]r³

Plug in the radius and solve:

V = 4/3[tex]\pi[/tex](2)³

V = 4/3[tex]\pi[/tex](8)

V = 32[tex]\pi[/tex]/3

So, the volume of the sphere is 32[tex]\pi[/tex]/3 cm³

A line of symmetry would separate a shape to make multiple shapes that are exactly the same.

The answer is C.2

Answer:

24

Step-by-step explanation:

The number of rows (x) should b equal to the number of columns (x).

x²=576

x=√576 taking the square root of the product

x=24

Answer:

marilyn isrestiring and wants to set up a 25-year annuity earns 7.

9514 1404 393

Answer:

  C

Step-by-step explanation:

The vertical asymptote tells you the denominator is zero at x=-1. The only function that has that characteristic is ...

  F(x) = (x +2)/(x +1)

Answer:

5.8931 ⋅ 10^ − 4

Step-by-step explanation:

Expanded Form:

0.00058931

Notice that

[tex]\dfrac{4n+1}{8n+2}=\dfrac{4n+1}{2(4n+1)}=\dfrac12[/tex]

So by the root test,

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac12\right)^{2n}\right|} = \frac14 < 1[/tex]

and so the series converges (absolutely).

y' + 6y = f(t)

where

[tex]f(t)=\begin{cases}0&\text{if }0\le t\le2\\12&\text{if }2<t\le6\\0&\text{if }6<t<\infty\end{cases}[/tex]

You can write f(t) in terms of the unit step (i.e. Heaviside theta) function u(t), which is defined as

[tex]u(t)=\begin{cases}0&\text{if }t<0\\1&\text{if }t\ge0\end{cases}[/tex]

Then the DE is written as

y' + 6y = 12 u (t - 2) - 12 u (t - 6)

(a) Take the Laplace transform of both sides:

LT[y' + 6y] = LT[12 u (t - 2) - 12 u (t - 6)]

s Y - y (0) + 6Y = 12 (exp(-2s) - exp(-6s))/s

(b) Solve for Y :

(s + 6) Y = 12 (exp(-2s) - exp(-6s))/s + y (0)

Y = 12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)

(c) Take the inverse transform:

LT⁻¹ [Y] = LT⁻¹[12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)]

y = 12 LT⁻¹ [(exp(-2s) - exp(-6s))/(s (s + 6))] + y (0) LT⁻¹ [1/(s + 6)]

y = 12 u (t - 2) LT⁻¹ [1/(s (s + 6))] - 12 u (t - 6) LT⁻¹ [1/(s (s + 6))] + y (0) exp(-6t )

For the remaining inverse transform, break up into partial fractions:

1/(s (s + 6)) = a/s + b/(s + 6)

1 = a (s + 6) + bs

1 = (a + b) s + 6a

==>   6a = 1, a + b = 0   ==>   a = 1/6, b = -1/6

y = 2 u (t - 2) LT⁻¹ [1/s - 1/(s + 6)] - 2 u (t - 6) LT⁻¹ [1/s - 1/(s + 6)] + y (0) exp(-6t )

y = 2 u (t - 2) (1 - exp(-6t )) - 2 u (t - 6) (1 - exp(-6t )) + y (0) exp(-6t )

Answer:

Step-by-step explanation:

Because the arcs HI and GJ are the same, that means that the segments HI and GJ are also the same. Therefore,

c + 20 = 2c and

20 = c

Answer:

when x = 1 then y = 9

when x = -20 then y = -33

when x = 43 then y = 93

Step-by-step explanation:

Just replace the given values of x ( which are 1 , -20 , 43 ) in the function

Answer:

- 9

Step-by-step explanation:

Let the four consecutive numbers be x, x + 1,

x + 2 and x + 3.

x + x + 1 + x + 2 + x + 3 = - 30

x + x + x + x + 1 + 2 + 3 = - 30

4x + 6 = - 30

4x = - 30 - 6

4x = - 36

x = - 36 / 4

x = - 9

Answer:

y=4x-5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y intercept.

Plug in what you know to solve for b.

3 = 4(2) + b

3 = 8 + b

3-8 = b

b = -5

now put b and m back into the slope- int form.

y = 4x-5

Step-by-step explanation:

5% of 483759 is 24187.95

Answer: The answer is 24,187.95

Step-by-step explanation:

483759 Multiplied by 0.05 = 24,187.95

Answer:

[tex]1.1x, 1.21x, 1.61051x[/tex]

Step-by-step explanation:

If you saving grows [tex]10 \%[/tex] every year, then your saving is [tex]1.1\\[/tex] times your saving from last year. Therefore, after one year, you will have [tex]1.1x\\[/tex], then after [tex]2[/tex] years, you will have [tex](1.1)^2 \cdot x=1.21x[/tex], then after [tex]5[/tex] years, you will have [tex](1.1)^5 \cdot x = 1.61051x[/tex].

Answer:

$1.1x, $1.21x, $1.61x

Step-by-step explanation:

Let us say

The Height from which the ball was first dropped as H0 = 248 feet

The Height reached by the ball after second bounce is H1

The Height reached by the ball after second bounce is H2 = 62 feet

Given , Height the ball reaches after bounce is a fraction of the height the ball reached in the previous bounce

The Height reached by the ball after second bounce = H2 = X of H1

==> 62 = X * H1 ...................Equation 1

The Height reached by the ball after first bounce = H1 = X of H0

==> H1 = X * 248 ...................Equation 2

Substituting value of H1 from Equation 2 to Equation 1

62 = X * H1 = X * X * 248

X^2 = 62/248 = 31/124 = 1/4

X = 1/2

Answer is A. 1/2

Answer:

36 members

Step-by-step explanation:

Let x = the number of science club members

There are 24 people on the bus (1 seat empty on the 25 seat bus)

2/3 of the club attended and that equals 24 people on the bus

2/3x = 24

Multiply each side by 3/2

3/2 * 2/3x = 24 * 3/2

x = 36

Answer:

3.418

Step-by-step explanation:

3.4175

3.4178

u round if the number behind it is higher than 5

Answer:

240 NC rupees.