f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]

[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]

At C'(x) = 0

[tex]\dfrac{12500}{x^2} = 20[/tex]

[tex]\dfrac{12500}{20} = x^2[/tex]

[tex]x^2= 625[/tex]

[tex]x = \sqrt{625}[/tex]

x = 25

[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]

[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]

where; x = 25

[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

[tex]770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83[/tex]

Step-by-step explanation:

Answer:

115736.83

Step-by-step explanation:

Effective rate:

.07/12= .005833333333

770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83770(

.005833333333

1−(1+.005833333)

−30∗12

)=115736.83

9514 1404 393

Answer:

  $4,742

Step-by-step explanation:

The total of donations is the product of the number of donations and the amount of each.

  (2371 customers) × ($2/customer) = $(2371×2) = $4742

Value-mart raised $4,742 for the food bank last week.

_____

You could find the total donated by adding the 2371 donations. Multiplication was invented to make repeated addition easier. When the sum consists of 2371 instances of $2, we can find the total by multiplying $2 × 2371.

Answer:

$24.20

amount invested = $356

Interest = $44

Step-by-step explanation:

Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Simples interest = amount invested x time x interest rate

400 x 0.065 x 1 = $24.20

b. interest = amount received - amount invested

Amount invested = amount received / (1 + r)^n

r = interest rate

n = number of years

400 / (1.06)^2 = 356

Interest = 400 - 356 = $44

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

Answer:

42.9 cm^3

Step-by-step explanation:

Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3

Radius of a ball = 1.5 cm

Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3

Volume of the balls = 14,137167 x 12 = 169,646003 cm^3

Final answer = 212.5 - 169,646003 = 42.9 cm^3

Answer:

The angle is in the third quadrant

Answer:

2

Step-by-step explanation:

9m + 25m + 22 = 90

34m = 90 - 22

34m = 68

m = 68 / 34

m = 2

Answer:

m = 2

Step-by-step explanation:

GLI forms a 90 degree angle

Set your formula up as

90 = 9m + 25m + 22

90 - 22 = 34m

68 = 34m

68/34 = m

2 = m

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

Answer:

Step-by-step explanation:

m^2-40+6m

=m^2+6m-40

=m^2-(10-4)m-40

=m^2-10m+4m-40

=m(m-10)+4(m-10)

=(m+4)(m-10)

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

Answer:

45 is 55% of 82 and 520% of 5 is 26.

Step-by-step explanation:

First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Subtracting 7 from both sides gives you ...

  |x| < -3

The absolute value cannot be negative. There is no solution.

Answer:

The answer is C!!!!!!!!

Answer:

8/24

Step-by-step explanation:

Answer:

Mixed fraction: 8 1/2

Step-by-step explanation:

34/4

Divide 34/4 = 8.5

.5 = 1/2

Mixed number form: 8 1/2

m∠NPQ=2×m∠NRQ

or m∠NRQ=1/2×m∠NPQ

=1/2×90

= 45

m∠NRQ=45

Answer:

x > 6

Step-by-step explanation:

Problem: 5x + 7 > 37

Subtract 7 from both sides: 5x > 30

Divide both sides by 5: x > 6

Answer: x > 6

Answer:

A = 39 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 6, b₁ = 9, b₂ = 4 , then

A = [tex]\frac{1}{2}[/tex] × 6 × (9 + 4) = 3 × 13 = 39 ft²

Answer: A

Step-by-step explanation:

Answer:

They will never intersect. I'm pretty sure that is right

Answer:

y + 3 = (1/2)(x + 2)

Step-by-step explanation:

The slope of the original path is -2.  Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.

Use the point-slope formula y - k = m(x - h):

y - (-3) = (1/2)(x - (-2)), or

y + 3 = (1/2)(x + 2)  represents the new path.

Answer:

The value of h(g(3)) is 17.

Step-by-step explanation:

We are given these following functions:

[tex]g(x) = x^2 - 5[/tex]

[tex]h(x) = 7x - 11[/tex]

h(g(3)) ?

[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]

At x = 3

[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].

The value of h(g(3)) is 17.

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

Answer: 11

Step-by-step explanation:

when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12

hope that helps

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

9514 1404 393

Answer:

  60 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

  A = (15 u)(4 u) = 60 u²

The area is 60 square units.

Answer:

b.    x = ±2

Step-by-step explanation:

3x² = 12

Divide both sides by 3

x² = 4

Taske the square root of both sides

x = ±2

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]

[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

?

Step-by-step explanation:

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