Solve for x. Round to the nearest tenth, if necessary.

Answer:

y < -7

Step-by-step explanation:

You balance it like a normal equation:

8y + 3 > 15y + 52

8y + 3 (-8y) > 15y + 52 (-8y)

3 (-52) > 7y + 52 (-52)

-49 (÷7) > 7y (÷7)

y < -7

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Answer:

0.4 or 0.40

Step-by-step explanation:

There are 10 total numbers. 4 of them are in set B.

So, 4/10 are in set B.

The probability is 0.4 because 4 divided by 10 is 0.4.

Answer:

345

Step-by-step explanation:

The velocity of a car over five hours is given by:

[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]

And we want to find the total distance traveled from t = 0 to t = 5.

Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:

[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]

Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:

[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]

Ax

B

Step-by-step explanation:

.....

...

..

Answer:

x + y = -12

Step-by-step explanation:

x - y = 2

2x – 3y = 11

-2x +2y = -4

2x – 3y = 11

-y = 7

y  = -7

x = -5

x + y = -12

Answer:

Hope you find it helpful and usef

Answer:

[tex] {x}^{2} - 3x - 10[/tex]

Step-by-step explanation:

Area= length× width

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

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Answer:

the horizontal are called x-axis, while the vertical are called y-axis

Step-by-step explanation:

C. represent the number line for x

where x ix

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b

y = 1x + b

5 = 1 + b

b = 4

y = x + 4

Answer:

as x increases, y increases

Step-by-step explanation:

Answer:

B. as x increases, y increases

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

Answer:

y=0

Step-by-step explanation:

Rewrite Evaluate Powers:

3[tex]3^{2y-1}+3^{-1}+2*3^{y}*3^{-1}=1[/tex]

Calculate:

[tex](3^{y})^{2}*\frac{1}{3} +2*3^{y}*\frac{1}{3}=1[/tex]

Solve using substitution:

[tex](3^{y})^{2}*\frac{1}{3} +\frac{2}{3} *3^{y}=1[/tex]     [tex]t=3^{y}[/tex]

Solve the equation for t:

[tex]t^{2}*\frac{1}{3}+\frac{2}{3}t=1[/tex]

t=-3

t=1

Substitute back to t=3^y

3^y=-3

3^y=1

y∉R

[tex]3^{y}=1[/tex]

y=0

Answer:

9

Step-by-step explanation:

First you would need to subtract all the irrelevant students.

So, subtract 4 from 36, which is 34.

34 - (10 + 15) =

34 - 25 =

9

The answer is 9 pupils.

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

Answer:

Nope

Step-by-step explanation:

we can graph y = 5x as y = 5 units up and one unit to the right

but for right now let me be specific on what i mean

Specifically:

y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.

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Answer: (1, 3) doesn't satisfy the equation

Answer:

No, it does not satisfy the equation

Step-by-step explanation:

Hi there!

We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation

If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation

If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation

The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.

So let's substitute 1 as x and 3 as y into y=5x

3=5(1)

multiply

3=5

The result is a false statement; therefore, the point doesn't satisfy y=5x

Hope this helps!

Answer:

The given function for the profit of the company  is p(x) = x² + 3

The function for the cos of the company, c(x) = -3·x + 24

Where;

x = The number of cartons sold

A. To find the solution of the system means to find the number of cartons sold at which the profit and cost are equal

B. The solution of the system can be found by equating both functions as follows;

p(x) = c(x)

Therefore;

x² + 3 = -3·x + 24

∴ x² + 3 + 3·x - 24 = 0

x² + 3·x - 21 = 0

x = (-3 ± √(3² - 4×1×(-21)))/(2 × 1)

∴ x = (-3 ± √(93))/2

x = (-3 + √(93))/2 ≈ 3.32 or x = (-3 - √(93))/2 ≈ -6.32

Therefore, the possible solution is x = (-3 + √(93))/2 ≈ 3.32

C. The solution means that when the company sells about 3 cartons of specialty ice, the cost to make the carton and the profit from selling the cartons will be approximately equal

D. Part 1

To solve the system, we rewrite the functions using common variables, to obtain a consistent system of equations

Part 2 Inconsistent system of equations

When x does not stand for the same thing in both equations, we have an inconsistent system of equations and there are no solutions

Step-by-step explanation:

Answer:

c) x=126

Step-by-step explanation:

tell me if I get it right

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

Answer:

281 different committees can be formed if the number of boys is more than the number of girls​.

Step-by-step explanation:

The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Number of boys more than the number of girls:

3, 4 or 5 boys.

3 boys:

3 boys from a set of 6.

2 girls from a set of 5. So

[tex]C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200[/tex]

4 boys:

4 boys from a set of 6.

1 girl from a set of 5. So

[tex]C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75[/tex]

5 boys:

5 boys from a set of 6. So

[tex]C_{6,5} = \frac{6!}{5!1!} = 6[/tex]

Total:

200 + 75 + 6 = 281

281 different committees can be formed if the number of boys is more than the number of girls​.

Answer:

A

Step-by-step explanation:

slope=(1-0)/(5-4)=1

eq. of line through (4,0) with slope 1 is

y-0=1(x-4)

put y=f(x)

f(x)=x-4

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Following are the null and alternative hypotheses:

[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]

For point b:

By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.  

These point estimately are the difference among the mean for the two populations:

[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]

Answer:

A. 55%

Step-by-step explanation:

First we should make these into fractions

A. 33/60

B. 36/78

C. 40/89

D. 24/59

these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55%   B. 36/78 is  46% .   C. 40/89 is 44%   D. 24/59 is about 40%

I also remember doing this on a quiz!!

Answer:

The plotting are correct .

HOPE IT HELPED!!

Answer:

Step-by-step explanation:

( 2 , 3 ) , ( 6 , - 5) , ( - 1 , 3 ) - is a function

( 1 , 9 ) , ( -3 , - 2 ) , ( 1 , - 4 )  - is a function

( 7 , - 4 ) , ( 0 , 9 ) ,  ( 2 , - 2 ) - is a  function

( 0 , 3 ) , ( 0 , 7 ) , ( 4 , 0 ) - is a function

( -6 , 5 ) , ( -5 , 6 ) , ( 8 , 2 ) - is a function

Answer:

x^5+8x^4+17x^3-14x^2-84x-72

Step-by-step explanation:

Given:

Kendra charges $8.00 for two puzzles and a piece of candy.

She charges $4.50 for one puzzle and a piece of candy.

To find:

The cost of each puzzle.

Solution:

Let x be the cost of a puzzle and y be the cost of piece of candy.

Kendra charges $8.00 for two puzzles and a piece of candy.

[tex]2x+y=8[/tex]               ...(i)

She charges $4.50 for one puzzle and a piece of candy.

[tex]x+y=4.50[/tex]             ...(ii)

Subtracting (ii) from (i), we get

[tex]2x+y-(x+y)=8-4.50[/tex]

[tex]2x+y-x-y=3.50[/tex]

[tex]x=3.50[/tex]

The cost of puzzle is $3.50. Therefore, the correct option is A.