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2 years ago

I don’t know how to do this lol this is a test

Mathematics

2 answers:

Kisachek [45]2 years ago

4 0

Answer:

x + y = -3

Hence graphed passes through 5, -2 and 3, -6

Artemon [7]2 years ago

3 0

Answer:

D) $x+y=-3$

Step-by-step explanation:

Basically, if you plug in the x and y-coordinates into an equation, both sides should work out to be equal to each other:

Since $-5+2\neq 3$ , we can eliminate choice A

Since $-5-2\neq -3$ , we can eliminate choice B

Since $-5-2\neq 3$ , we can eliminate choice C

Therefore, since $-5+2=-3$ , then D is correct. Also, $3+(-6)=-3$

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The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb

Lubov Fominskaja [6]

we are given

$F(d)=0.77d^2-1.32d-9.31$

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

$F'(d)=0.77\times 2d-1.32\times 1-0$

$F'(d)=1.54d-1.32$

now, we can set it to 0

and then we can solve for d

$F'(d)=1.54d-1.32=0$

$1.54d-1.32=0$

so, we get diameter as

$d=\frac{6}{7}inch$ ..............Answer

6 0

3 years ago

A rancher has 200 feet of fencing to enclose two adjacent corrals

Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at

y = -b/(2a) = 100 ÷ (2×³/₂) = 100 ÷ 3 = 33⅓ ft

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0

3 years ago

What is the value of the 6 in 57,642

nlexa [21]

Answer:

600

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

BC = x + 14, AB = x + 10, AC = 22

irinina [24]

$ab = x + 10 \\ bc = x + 14 \\ ac = 22 \\ (x + 10) + (x + 14) = 22 \\ x + x + 10 + 14 = 22 \\ 2x + 24 = 22 \\ 2x = 22 - 24 \\ 2x = - 2 \\ x = \frac{ -2}{2} \\ x = - 1$

4 0

3 years ago

How many 4 digit multiples can not be divided by 5

Advocard [28]

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

8 0

3 years ago

Read 2 more answers