-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms ​

Answer:

a) maximize 12F + 9S

where:

F = football trophies

S = soccer trophies

b) constraints:

wood ⇒ 4F + 2S ≤ 4800

plaques ⇒ F + S ≤ 1750

brass footballs ⇒ F ≤ 1000

brass soccer balls ⇒ S ≤ 1500

c) using solver, the optimal solution is 650F + 1100S = $17,700

d) plaques ⇒ F + S ≤ 200, then

optimal solution is 200F = $2,400

Answer:

32 inches

Step-by-step explanation:

Because height times width equals area,

we can divide 112 by 3.5 to get the width

So it is 32 inches

Answer: it equals 180 hope it helps

Answer:

180

Step-by-step explanation:

30% × 600 =

(30 ÷ 100) × 600 =

(30 × 600) ÷ 100 =

18,000 ÷ 100 =

180

Hope this helps!! Good luck on your assignment!

Answer: 60

Step-by-step explanation:

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

I hope this helps!

Answer:

I will be using differentiation method

Step-by-step explanation:

x^2+5x =-8

2×x ×x^2-1 +5x = -8

2x +5x = -8

7x = -8

divide both sides by the co-efficient of x

7x÷7=-8÷7

x =-1.5

Answer:

A

Step-by-step explanation:

58-90 bc its a right triangle

hope this helps

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

Answer:

65

Step-by-step explanation:

180 - 115 = 65

This is the easiest way to think about and do it but your teacher might want you to do it a different way.

Answer:

65

Step-by-step explanation:

Answer:

Using the vertical line test, the functions are b, c, d, and f

Step-by-step explanation:

a and e both fail the vertical line test, therefore, it's not a functions.

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

[tex]dV/dt = 4piR^2*dR/dt[/tex]

so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]

So the radius is decreasing at the rate of dR/dt= 0.142in/min

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

Answer:

8 in

Step-by-step explanation:

I hope this helps!

Answer:

First, solve 3x+2y=4 for y.

*Subtract 3x from both sides*

2y=-3x+4

*Divide both sides by 2*

y=-3/2x+2

Parallel lines have the same slope so the answer is y=-3/2x+7/2

Hope this helps!!

Answer:

Know the properties of vertical angles.

Step-by-step explanation:

Vertical angles are equal to each other, so we must make them equal to each other in an equation:

6x+2=80

6x=78

x=13

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

Answer:

The correct statement are D and B.

Step-by-step explanation:

There are 4 data points on the grid labeled with names: Carlos at point (2, 20). Sam at point (5, 25). Yves at point (5, 50). Mia at point (7, 35).

The data can be represented in tabular form as follows:

Employees       Number of hours          Amount earned

  Carlos                        2                                  $20

   Sam                          5                                  $25

  Yves                          5                                  $50

   Mia                           7                                  $35

The provided data can be written in statement form as follows:

Thus, the correct statement are D and B.

Answer:

= -1/14

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -3 - -4)/( -6 -8)

   = ( -3+4)/( -6-8)

   1/-14

= -1/14

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

⇒ x = 5 + √109 / 6 , 5 - √109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

Answer:

D. [tex] 3x + 1 [/tex]

Step-by-step explanation:

Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]

Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

[tex] (9x + 3) - (6x + 2) [/tex]

Open Parentheses

[tex] 9x + 3 - 6x - 2 [/tex]

Collect like terms

[tex] 9x - 6x + 3 - 2 [/tex]

[tex] 3x + 1 [/tex]

Answer:

In simplifying this is simple.

Answer:

CORRECT ANSWER IS B

Step-by-step explanation:

edge 2023 ;D

Answer:

who

Step-by-step explanation:

Answer:

The blue liquid is toxic

Step-by-step explanation:

From the calculations I have done and attached to this problem

Null hypothesis:

H0 : p1 <= p2

Alternate hypothesis:

H1 : p1 > p2

^p1 = 0.925

^p2 = 0.2250

^P = (x1 + x2)/(n1+n2)

= 0.575

After calculating, I got test statistics = 6.33 ( check attachment)

P(z > 6.33) = 0.0000

In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.

Please check attachment for calculated test statistics.