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2 years ago

Complete the algebra terms with table and graph given y = 2x +3

Mathematics

1 answer:

Bezzdna [24]2 years ago

4 0

It’s really easy all you have to do is plug in the numbers
(In order)
-1, 1, 3, 5, 7, 9

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Please help........................

VashaNatasha [74]

Answer:

Step-by-step explanation:

If m∠ABC = 40° and BD is the bisector of ∠ABC, then

(1) m∠ABD = m∠DBC

(2) m∠ABC = m∠ABD + m∠DBC

From (1) and (2) we have:

m∠ABC = 2m∠ABD

Therefore

2m∠ABD = 40° <em>divide both sides by 2</em>

m∠ABD = 20°

3 0

3 years ago

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

2 years ago

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who h

joja [24]

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°

5 0

3 years ago

Jinney wants to deduct the sales tax that she paid this year on her state income return. She paid $4960.80 during the year, incl

Sergio [31]

T = state income return (without sales tax)

106% of t = 4960.80
AKA
1.06t = 4960.80 --> Divide both sides by 1.06 to find the state income return without sales tax
t = 4680

Subtract t from the state income return with sales tax.

4960.80 - 4680 = 160.80

<u>She paid $160.80 in sales tax.</u>

3 0

2 years ago

Please help me idk this

Stells [14]

We are given that Donna knit a total of 12 blankets.

She took 4 months in doing it.

To find the number of blankets in 1 month, take ratio of number of blankets to number of months.

$\frac{number \: of \: blnkets}{number \: of \: months} \\ \\ = \frac{12 \: blankets}{4 \: months} \\ \\ = \frac{3 \: blankets}{1 \: months}$

Thus, she knit 3 blankets in 1 months

4 0

3 years ago

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