1. Graph: y = 3x
please help

Answer:

x < 9

Step-by-step explanation:

Hello!

We solve inequalities the same we would solve equations. What we do to one side we have to do to the other.

5x < 45

Divide both sides by 5

x < 9

The answer is x < 9

Hope this helps!

Answer:

x<9 I hope help you Mark as Brainliest

Answer:

The answer is $690.78

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there are only for sandwiches.

Answer:

From the given information, the value of n is 1. By using that information, the measure of JL is 29.

Step-by-step explanation:

For this problem, we have to not only find the value of n but, we also have to find the value of JL. We are given information in this problem.

ΔABC ≅ ΔJKL

AC = 10n + 19

JL = 9n + 20

From this information, we can conclude that AC and JL are congruent meaning they are equal in measure. So, let's set up an equation where they set equal to each other.

10n + 19 = 9n + 20

Subtract 9n from 10n.

n + 19 = 20

Subtract 19 from 20.

n = 1

So, the value of n is 1. We can use this to find the value of JL.

JL = 9(1) + 20

JL = 9 + 20

JL = 29

Answer:

JL is equal to 29

Step-by-step explanation:so JL= 29 is the answer

Answer:

[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]

[tex](n + \frac{5}{4})^2[/tex]

Step-by-step explanation:

Given

[tex]n^2 + \frac{5}{2}n[/tex]

Required

(a) Make a perfect square trinomial

(b) Write as binomial square

Solving (a)

Let the missing part of the expression be k;

This gives

[tex]n^2 + \frac{5}{2}n + k[/tex]

To solve for k, we need to square half the coefficient of n;

i.e. Since the coefficient of n is [tex]\frac{5}{2}[/tex], then

[tex]k = (\frac{1}{2} * \frac{5}{2})^2[/tex]

[tex]k = (\frac{5}{4})^2[/tex]

[tex]k = \frac{25}{16}[/tex]

Hence;

[tex]n^2 + \frac{5}{2}n + k[/tex] = [tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]

Solving (b)

[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]

Expand [tex]\frac{5}{2}n[/tex]

[tex]n^2 + \frac{5}{4}n+ \frac{5}{4}n + \frac{25}{16}[/tex]

Factorize

[tex]n(n + \frac{5}{4})+ \frac{5}{4}(n + \frac{5}{4})[/tex]

[tex](n + \frac{5}{4})(n + \frac{5}{4})[/tex]

[tex](n + \frac{5}{4})^2[/tex]

Hence:

[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex] = [tex](n + \frac{5}{4})^2[/tex]

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

A triangle is a plane figure with edges that are all straight with three sides and three angles.

The formula for calculating the area of a triangle is;

[tex]\mathbf{Area = \dfrac{1}{2}\times Base \times Height}[/tex]

Given that:

The area = 40 cm²

Since the diagram for the triangle is not given;

∴

Using the formula form above:

[tex]\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}[/tex]

[tex]\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}[/tex]

[tex]\mathbf{80.0 cm^2 = 12.5 cm \times Height}[/tex]

[tex]\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }[/tex]

Height of the triangle = 6.4 cm

Therefore, we can conclude that the height of the triangle = 6.4 cm

Learn more about triangles here:

https://brainly.com/question/2773823?referrer=searchResults

Answer: 77

Add the three given values to get that result above.

In a fraction, the fraction bar means divided by. So to find the decimal form equivalent of a fraction like 1/4 you need to solve the math problem 1 dived by 4.

1 ÷ 4= 0.25

Answer:

v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

Given that,

[tex] \frac{ {x}^{2} - 9 }{x + 3} [/tex]

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

[tex] \frac{ {x}^{2} - {3}^{2} }{x + 3} [/tex]

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

[tex] \frac{(x + 3)(x - 3)}{(x + 3)} [/tex]

(x+3) in numerator and denominator gets cancelled,

[tex](x - 3)[/tex]

Therefore, (x-3) is the final value.

Hope it helps...

Answer:

Answer:

160°

Step-by-step explanation:

If you add or subtract a full 360° rotation (or multiple of 360°) you get the same rotation.

Add 360° to -200°:

-200 + 360 = 160

Answer:

3 years

Step-by-step explanation:

The number of years that required for opening an account is shown below:

Given that

Opening balance = $250

ending balance = $289.41

t = [tex]log_{1.05} \frac{E}{250}[/tex]

Interest rate = 5%

Based on the above information, the number of years required is

[tex]t = log_{1.05} \frac{289.41}{250}[/tex]

= 3 years

Hence, the number of years required to open an account is 3 years and the same is to be considered  by using the above formula

Answer:

  [tex]H= 0.15x+ H[/tex]

Step-by-step explanation:

This problem requires that we produce a model that describes the daily height of the beans stalk

let us describe some variables

the daily height is H

let the initial height be h= 5 cm

and the daily increment be 15%= 0.15

and also the number of days be x

We can use the equation of straight line to model the daily height of the beans stalk

i.e

[tex]y= mx+c[/tex]

hence  the formula for the height of the beanstalk is

[tex]H= 0.15x+ H[/tex]

Answer:

The expression

Y(x)= 15(v)+1.5(x)

Step-by-step explanation:

The entry fee is $15 per vehicle for up to and including 5 people, with an additional $1.50 for each person over 5.

Let the entrance fee be Y

Let the number of vehicle be V

Let X be the number of people more than 5

The expression

Y(x)= 15(v)+1.5(x)

Answer:

500

Step-by-step explanation:

Answer:

it is 500

Step-by-step explanation:

it is 500 because if you take the 5 and multiply it by the 1 you get one then all you do after you do that is add the zeros at the end.

At the point of the least cost of fencing the cost function has a zero

derivative.

Reasons:

Shape of the pen = Rectangular

Area of the pen = 24 yd²

Cost of material on one side of the fence = $6 per yard

Cost of material on the remaining three sides = $3 per yard

Required:

The least cost of fencing the pen

Solution:

The least cost is a minimum value of the cost function

Let L represent the length of the fence and let W represent the width of the fence

We have;

The perimeter of the fence = 2·L + 2·W

The area of the pen, A = L × W = 24

One of the length, L, of the fence costs $6 per yard and the other length L,

of the opposite side costs $3 per yard.

The cost of fencing, C  3 × 2·W + 3 × L + 6 × L = 6·W + 9·L

C = 6·W + 9·L

[tex]\displaystyle W = \mathbf{\frac{24}{L}}[/tex]

Which gives;

[tex]\displaystyle C = 6 \cdot \frac{24}{L} + 9 \cdot L = \frac{144}{L} + 9 \cdot L = \mathbf{\frac{144 + 9 \cdot L^2}{L}}[/tex]

The shape of the above function is concave upwards.

At the minimum value, we have;

[tex]\displaystyle \frac{dC_{min}}{dL} = \frac{d}{dL} \left(\frac{144}{L} + 9 \cdot L\right) = 9 - \frac{144}{L^2} = 0[/tex]

Which gives;

[tex]\displaystyle \frac{144}{L^2} = 9[/tex]

[tex]\displaystyle \frac{144}{9} = L^2[/tex]

By symmetric property, we have;

[tex]\displaystyle L^2 = \frac{144}{9}[/tex]

[tex]\displaystyle L = \sqrt{ \frac{144}{9}} = \frac{12}{3} = 4[/tex]

The length of the fence that gives the least cost, L = 4 yards

[tex]\displaystyle At \ L = 4, \ W = \frac{24}{4} = 6[/tex]

The width of the fence at least cost, W = 6 yards

Cost, C = 6·W + 9·L

Least cost, [tex]C_{min}[/tex] = 6 × 6 + 9 × 4 = 72

The least cost of the fencing, [tex]C_{min}[/tex] = $72.00

Learn more about the minimum values of a function here:

https://brainly.com/question/7243840

Answer:

The solution to the given expression is 1/2562890625

Step-by-step explanation:

(3⁴ × 5⁴)⁻²

Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.

(15⁴)⁻²

Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.

15⁻⁸

Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.

1 / 15⁻⁸

Now, we simplify the term on the bottom.

1 / 2562890625

So, this is the solution to the problem.

Answer:

Lulu= £81

Ruby=£108

Emma=£ 72

Step-by-step explanation:

Let Lulu's money be x

Let Ruby's money be y

Let Emma's money be z

The total money they went shopping with is = £261

So

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

Money spent by each

Lulu= 2/3x

Ruby=1/2y

Emma= 3/4z

Each of them spent the same amount of money.

2/3x= 1/2y= 3/4z

2/3x= 1/2y

x(2*2)/3 = y

4/3(x) = y

2/3x=3/4z

x(2*4)/(3*3)= z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x +12x +8x= 2349

29x= 2349

X= 81

4/3(x) = y

4/3(81) = y

108= y

8/9x= z

8/9(81)= z

72= z

Answer:

x = ±2√15

Step-by-step explanation:

x^2 = 60

x = ±√60

x = ±2√15

Answer:

The  correct option is D

Step-by-step explanation:

From the question we are told that  

     The mean for the first month is  [tex]\mu _ 1 = \$ 200[/tex]

       The standard deviation for first month is [tex]\sigma_1 = \$ 30[/tex]

       The  sale on 15th of  first month is  [tex]x_1 = \$245[/tex]

       The mean for the second  month is [tex]\mu _ 2 = \$220[/tex]

         The standard deviation for second month is [tex]\sigma_2 = \$ 50[/tex]

         The  sale on 15th of  second month is [tex]x_2 = \$ 270[/tex]

Generally the z-score is mathematically represented as

         [tex]z = \frac{x - \mu }{ \sigma}[/tex]

For the  first month  

         [tex]z_1 = \frac{x_1 - \mu_1 }{ \sigma_1 }[/tex]

         [tex]z_1 = \frac{ 245 - 200 }{ 30 }[/tex]

         [tex]z_1 = 1.5[/tex]

For the second  month

         [tex]z_1 = \frac{x_2 - \mu_2 }{ \sigma_2 }[/tex]

         [tex]z_1 = \frac{ 270 - 220 }{ 50 }[/tex]

         [tex]z_1 = 1[/tex]          

Answer: 1.5

Step-by-step explanation:

Recall that .For the first month, .For the second month, .We can see the first month had the higher z-score of 1.5.

Answer:

Greater than 4

Answer:

The lower limit is  75.04

The upper  limit is  78.96

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 25[/tex]

   The sample mean is  [tex]\= x = 77[/tex]

    The standard deviation is  [tex]\sigma = 5[/tex]

Given that the confidence level is 95%  then the level of significance is mathematically represented as

        [tex]\alpha = (100 - 95)\%[/tex]

         [tex]\alpha = 0.05[/tex]

The critical value for  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is  

     [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96* \frac{5 }{\sqrt{25} }[/tex]

=>    [tex]E = 1.96[/tex]

The 95% confidence interval is mathematically represented as

        [tex]\= x -E < \mu < \= x +E[/tex]

=>   [tex]77 - 1.96 < \mu < 77 + 1.96[/tex]

=>   [tex]75.04 < \mu < 78.96[/tex]

Answer:

8 tests

Step-by-step explanation:

Let's call the number of total math tests in a year as x. Therefore, excluding the final test, the total number of tests in a year is x - 1. Since his original average was 76, that means that the sum of his test scores without the final was 76(x - 1), and because getting a 100 on his final gets him a 79, the sum of all his scores is 76(x - 1) + 100, which will be equal to 79 * x, therefore:

76(x - 1) + 100 = 79x

76x - 76 + 100 = 79x

24 = 3x

x = 8 tests

Answer:

0 ones

7 tenths

6 hundredths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

Answer:

Step-by-step explanation:

A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.

Given the complex number 4-5i, comparing the complex number with x+iy

4 = x and iy = -5i

Hence x = 4 and y = -5.

Since x is the real part of the complex number x+iy, hence 4 will be the real part of the complex number 4-5i based on comparison.

Answer:

y = - 14/3 +7x/3

Step-by-step explanation:

The reason for my answer is because let us move the -3y so it is before the equal sign. Let us also move 7x to the other side but make it so 14 would be to the right side of the equal sign. Now, that would mean 7x would be after 14. Our equation is now -3y=14-7x. We need to divide both sides of the equation by -3. There, we just divided -3y by 3 which equals to y. 14 divided by -3 equals to -14/3. -7x divided by -3 would equal to +7x/3. Finally, we get the answer of y = - 14/3 +7x/3.

Answer:

Step-by-step explanation:

● 7x-3y = 14

This a 1st degree equation with two variables.

● 7x-3y = 14

Substract 7x from both sides

● 7x-7x -3y = 14-7x

● -3y = 14-7x

Mulitply both sides by -1

● (-1)×(-3y) = (-1)×(14-7x)

● 3y = -14+7x

● 3y = 7x+14

Divide both sides by 3

● 3y/3 = (7x+14)/3

● y = (7/3)x + 14/3

There are infinite solutions for this equation. Keep replacing x with value and the output will change everytime.

Answer:

a) The profit function is [tex]P(x) = -x^{2}+60\cdot x -100[/tex], b) The marginal profit function is [tex]P'(x) = -2\cdot x + 60[/tex].

Step-by-step explanation:

a) Let be [tex]C(x) = 30\cdot x + 100[/tex] (cost function) and [tex]R(x) = -x^{2}+90\cdot x[/tex] (revenue function), the profit function is found by subtracting the cost function from the revenue function. That is:

[tex]P(x) = R(x)-C(x)[/tex]

[tex]P(x) = -x^{2}+90\cdot x -(30\cdot x + 100)[/tex]

[tex]P(x) = -x^{2}+90\cdot x -30\cdot x -100[/tex]

[tex]P(x) = -x^{2}+60\cdot x -100[/tex]

b) The marginal profit function is the first derivative of the profit function:

[tex]P'(x) = -2\cdot x + 60[/tex]