Solve and state any extraneous solutions

Answer:

b = -12

Step-by-step explanation:

In order to find the slope intercept you must first find the slope of the given points.

[tex]-4,2 = 12,6[/tex]

[tex]S=\frac{y2-y1}{x2-x1}[/tex]

Substitute:

[tex]\frac{12--4}{6-2}[/tex]

[tex]12--4=12+4=16[/tex]

[tex]6-2=4[/tex]

[tex]S=\frac{16}{4}[/tex]

Now find the slope intercept

[tex]16\div4=4[/tex]

[tex]SI=y=mx+b[/tex]

Substitute:

[tex]12=4\times6+b[/tex]

Solve:

[tex]4\times6=24[/tex]

[tex]12=24+b[/tex]

Subtract 24 on both sides:

[tex]12-24=-12[/tex]

[tex]x=-12[/tex]

[tex]y=-12[/tex]

Hope this helps.

Answer:

Rosalita ran m miles yesterday, and 1.85 miles fewer today.

Step-by-step explanation:

The expression m - 1.85 is used to find how many miles Rosalita ran today. If she ran 1.85 miles less than yesterday, m, to find today's miles you would subtract 1.85 from m, which the expression does. The only scenario that makes sense is that Rosalita ran m miles yesterday and ran 1.85 fewer miles today.

Hope this helps :)

Answer:

Equation: 44+2x=70

One chair: $13

Step-by-step explanation:

Answer:

B. x = -8

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

Answer:

5[tex]\sqrt{8}[/tex], 40/3, [tex]\sqrt{170}[/tex]

Step-by-step explanation:

[tex]\sqrt{170}[/tex]= 13.03840481

5[tex]\sqrt{8}[/tex] = 14.14213562

40/3 = 13.33...

Answer: 600 - 12w

Step-by-step explanation:

From the question, we are informed that a fish tank contains 600 gallons of water when full and that the tank

contains a permanent hole, which causes the tank to leak at a constant rate of 12 gallons each week.

If the number of weeks is represented by w, then the expression that describe the number of gallons left in the tank after any given number of weeks will be:

= 600 - 12w

For example let's say the number of weeks is 5 weeks. Using the expression,

600 - 12w

= 600 - 12(5)

= 600 - 60

= 540 gallons

There'll be 540 gallons after 5 weeks.

Answer

B is the answer

Answer:

4/7 yards

Step-by-step explanation:

Given that :

Required fabric is > 1/2 but < 5/8

Let required fabric = x

Then ;

Converting the fractions to decimal :

1/2 = 0.5 ; 5/8 = 0.625

0.5 < x < 0.625

3/8 yards = 0.375 ;

4/7 yards = 0.571

3/7 yards = 0.429

2/4 yards = 0.5

0.5 < 0.571 < 0.625

From the options, only 4/7 yards satisfies the condition :

Answer: If half a gallon is 15 then just multiply 15 with 2.

Step-by-step explanation:

Answer:

He drove 27[tex]\frac{13}{31}[/tex] miles per gallon.

Step-by-step explanation:

15[tex]\frac{1}{2}[/tex] gas = 425 miles

[tex]\frac{31}{2}[/tex] gas = 425 miles

31 gas = 425 × 2

          = 850 miles

1 gallon = 850 miles ÷ 31

1 gallon = 27[tex]\frac{13}{31}[/tex] miles

Answer:

r=v + [tex]\frac{s}{2}[/tex]

Step-by-step explanation:

v=r-[tex]\frac{s}{2}[/tex]

v+[tex]\frac{s}{2}[/tex]=r

On solving for r, we get -

[tex]$r=v+\frac{s}{2}[/tex]

We have the following expression -

[tex]$v=r-\frac{s}{2}[/tex]

We have to solve for r.

log ( [tex]\frac{\pi }{x}[/tex] ) = k

On solving -

log(π) - log(x) = k

log(x) = k - log(π)

log(x) = 2 - log(π)

log(x) = 2 - 0.497

log(x) = 1.503

x = 31.84

According to the question, we have -

[tex]$v=r-\frac{s}{2}[/tex]

On solving for r, we get -

[tex]$r=v+\frac{s}{2}[/tex]

Hence, we get - [tex]$r=v+\frac{s}{2}[/tex].

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Answer:

y = -2/3x -5

Step-by-step explanation:

First, let's fill in our equation of y = mx + b

(6, -9) is the coordinate we will be subsituting

If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3

Now let's substitute and solve

y = mx + b

(-9) = -2/3(6) + b

-9 = -4 +b

+4   +4

-5 = b

Now we create the equation

y = -2/3x -5

Answer:

6 days

Step-by-step explanation:

Given

Zoe

Sold out = 12

Rate = 2 daily

Josiah

Sold out = 0

Rate = 4 daily

Required

Determine when they sell the same number of tubs

Represent days with d

The number of tubs sold in any give day can be calculated using:

Tubs = Sold out + Rate * Number of days

For Zoe:

Expression: 12 + 2 * d

Expression: 12 + 2d

For Josiah

Expression: 0 + 4 * d

Expression: 4 * d

Expression: 4d

Next, we equate both expressions to get the number of days

4d = 12 + 2d

Collect like terms

4d - 2d = 12

2d = 12

Solve for d

d = 12/2

d = 6

Hence, it'll take 6 days

Answer:

6 9/10, 6 3/4, 6 19/80

Step-by-step explanation:

it is the ordre r r my duuuud

Answer:

10,990 legs

Step-by-step explanation:

There are 7 girls in the bus

= 7 × 2 = 14 legs

Each bag pack there are 7 big cats

= 7 × 7 × 7 × 4= 1372 legs

For every big cats there are 7 small cars

= 7×7×7×7×4= 9,604 cats

Therefore the total legs in the bus can be calculated as follows

= 14 +1372+9604

= 10,990 legs

Hence there are 10,990 legs in the bus

Answer:

2

Step-by-step explanation:

Answer:

its c not sure

Step-by-step explanation:

Answer:

The slope of the linear equation is 0.1998, and it means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.

Step-by-step explanation:

Answer:

Distance between home plate and second base = 127.3 ft (Approx)

Step-by-step explanation:

Given:

Base distance = 90 ft

Find:

Distance between home plate and second base

Computation:

Distance between home plate and second base = √90²+90²

Distance between home plate and second base = √8100 + 8100

Distance between home plate and second base = √16200

Distance between home plate and second base = 127.3 ft (Approx)

Answer:

Where is the question?

Answer:

I think the answer is  -50.

Step-by-step explanation:

50 feet below sea level. First, look for key words. The word “below” means you will need to use a negative integer. The answer is -50.

Answer:

The answer is (2, -7/2)

Answer:

2cosx cosy = 2cosx cosy

Step-by-step explanation:

cos(x+y) + cos(x-y) = 2cosx cosy​

Use the formula for "Functions of the sum of two angles" and the "Function of the Difference of Two Angles" and substitute that in.

(Cosx cosy - sinx siny) + (cosx cosy + sinx siny)

Drop the parentheses

Cosx cosy - sinx siny + cosx cosy + sinx siny

Sinx siny can cancel

Cosx cosy + cosx cosy

This can be simplified to

2cosx cosy

Answer:

The value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is;

x = 3

Step-by-step explanation:

The given functions are;

y = 4·x + 6 and y = 5·x + 3

For the functions to be equal, we have that the y values are equal, therefore;

y = y and 4·x + 6 = 5·x + 3, which gives;

4·x + 6 = 5·x + 3

5·x - 4·x = 6 - 3

∴ x = 3

Therefore, the value of x that makes both functions. y = 4·x + 6 and y = 5·x + 3 equal is x = 3.

Answer:

x=3

Step-by-step explanation:

Answer:

whats the rest of the picture say, i cant tell

Step-by-step explanation:

please retake the photo so i can help u

Answer:

f(x) = 20(1.05)^x

Step-by-step explanation:

f(x) = 20(1.05)^x   where x is the hours worked.

If she works 8 hours she will earn 20(1.05)^8

= $29.55.

The range  of the amount per hour  is 20 to 29.55 dollars.

Answer:

y = 5/2x + b

3= 5/2(-2) + b

3= -5 + b

3 + 5 = b

b = 8

y = 5/2x + 8

The equation in slope-intercept form is y= 5/2x + 8.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope = 5/2

and, point (-2, 3).

Using Slope- intercept form

y = mx + b

y= 5/2x + b

As, the line passes through (-2, 3)

3 = 5/2(-2) + b

3 = -5 + b

b= 8

So, the Equation of line is y= 5/2x + 8.

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Answer:

30 cm

Step-by-step explanation:

2 * 15: 5 * 15

    30:75