Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 2. passing through (6,2)
What is the point-slope form of the equation of the line?

Answer:

3.75 gallons

Step-by-step explanation:

speed = distance/time

s = d/t

d = st

d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles

In 75 minutes of driving at 60 mph, he drives 75 miles.

fuel economy = distance/volume

volume * fuel economy = distance

volume = distance/(fuel economy)

volume = (75 miles)/(20 miles/gal)

volume = 3.75 gallons

Answer: 3.75 gallons

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

Answer:

y=3sqrt(x)

x≥0

Step-by-step explanation:

The domain of a function refers to all values of x for which y is defined.

Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.

As soon as the expression under the root sign is less than zero, the function will not be defined.

This means that the square root of a negative number will not be a real number.

Answer:

7x^2 −12x−10

Step-by-step explanation:

 ((5x2 -  8x) +  1) +  (2x2 - 4x - 11)

Factoring  7x2-12x-10

The first term is,  7x2  its coefficient is  7 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   7 • -10 = -70

Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term, which is   -12 .

     -70    +    1    =    -69

     -35    +    2    =    -33

     -14    +    5    =    -9

     -10    +    7    =    -3

     -7    +    10    =    3

     -5    +    14    =    9

     -2    +    35    =    33

     -1    +    70    =    69

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

40min=3.5miles

40/3.5=1mile

40/3.5×8=8miles

91.428 min

1hr and 31 min

Answer:

Step-by-step explanation:

mean aka average: (9+9+3+2+8+7+4)/7 = 6

Answer:

6

Step-by-step explanation:

Mean = Sum of the numbers/total no of numbers

There are 7 numbers

[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]

Hi there!

Your answer to this question would be, B) 2 miles.

Happy to Help!

Answer: g = 90

Step-by-step explanation:

Answer:

Solve for x in simplest form. 4=4/3 (x−6)

x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.

Answer:

did you know that a W is the upside down logo of McDonald's?

okay but seriously though, the answer in -9.1

Answer:

-9.1

Step-by-step explanation:

-2+7.1=-9.1. you just add them together when they are both negatives

Answer:

b

Step-by-step explanation:

a is not correct because the domain includes negative numbers as well

c is not correct because the domain includes positive numbers as well

and

d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)

hope this helps :)

Answer:

No

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then f(3) = 0

Given

f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then

f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12

      = 5(243) - 3(81) + 2(9) - 27 + 12

      = 1215 - 243 + 18 - 27 + 12 = 975

Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial

The midpoint of AB is (-1, 4.5)

x-coordinates: (2-4)/2 = -2/2 = -1

y-coordinates: (3+6)/2 = 9/2 = 4.5

Solution: (-1, 4.5)

Answer:

127.6 mins

Step-by-step explanation:

70m per 1hr

1 mile per 1.16 min

110 mile × 1.16 min per mile

127.6 minutes

Answer:

[tex]L = 111[/tex]

[tex]M = 69[/tex]

Step-by-step explanation:

Given

[tex]L = 12x + 45[/tex]

[tex]M = 18x - 30[/tex]

Required

Determine L and M

Since both angles are supplementary;

[tex]L + M = 180[/tex]

Substitute values for L and M

[tex]12x + 45 + 18x - 30 = 180[/tex]

Collect Like Terms

[tex]12x + 18x= 180 - 45 + 30[/tex]

[tex]30x= 165[/tex]

Divide both sides by 30

[tex]x = \frac{165}{30}[/tex]

[tex]x = 5.5[/tex]

Substitute 5.5 for x in [tex]L = 12x + 45[/tex]  and    [tex]M = 18x - 30[/tex]

[tex]L = 12 * 5.5 + 45[/tex]

[tex]L = 111[/tex]

[tex]M = 18 * 5.5 - 30[/tex]

[tex]M = 69[/tex]

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

[tex]\boxed{\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x=15[/tex]

and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.

[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Let's check our solution. Plug 3 in for x and solve.

[tex]5x=15[/tex]

[tex]5(3)=15[/tex]                      

[tex]15=15[/tex]

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

Answer:

To evaluate a function is to: Replace its variable with a given number or expression.

Step-by-step explanation:

Answer:

  C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

__

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

Answer:

I'm pretty sure the answer is 1.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

If u doing edge the string numbers in the table are -4,-66

-3,-29

-2,-10

-1,-3 and so on hope this helps :)

I think it’s z=1 hope this helps

Answer:

z=-1

Step-by-step explanation:

-2(4z-4)=10-6z

First, distribute the -2 into the parenthesis to get:

-8z+8=10-6z

Then, add 8z to each side to eliminate it from the left side to get:

8=10+8z-6z

Simplify the right side and combine the z's:

8=10+2z

Subtract 10 from BOTH sides to get:

-2=2z

Finally, to get z alone, divide everything by 2 to get:

-1=z or z=-1

Answer:

117

Step-by-step explanation:

216/3=72

216-72=144

144-26=117

Answer: 117

Step-by-step explanation:

First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.

117 baseball cards remain in Ryan's collection.

Answer:

3x-2

Step-by-step explanation:

The algebraic expression is 3x -2.

Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine an algebraic expression for "2 less than the product of 3 and a number x"

Here, the product of 3 and a number x

⇒ 3x

Therefore, 2 is less than the product of 3, and a number x as

⇒ 3x -2

Hence, the algebraic expression is 3x -2.

Learn more about an algebraic expression here:

brainly.com/question/13947055

#SPJ2

Answer:

-5 + -4 = -9

Step-by-step explanation:

-5 + -4 = -9

Start at 0.

You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).

And -4. Move 4 spaces left again. There you land at -9.

The plus sign is just to combine -5 and -4 together.

Thus the answer is:

-5 + -4 is -9.

Here’s why the other equations aren’t correct.

The first equation says “5 + 4 = 9”.

To represent this, you would move 5 spaces to the right (because the number is posititve.)

Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.

The second equation says “-5 + -9 = -14”.

To represent this, you would move 5 spaces to the left.

Then move 9 spaces to the left again. Which leaves you at -14.

Your final destination should be -9. Not anywhere else.

Answer:

X=4-y

2(4-y)+4y=12

8-2y+4y=12

2y=12-8

2y=4

y=4/2

y=2

x=4-y

x=4-2

x=2

Answer:

Exact form.... X= 5/81, - 5/81

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

wrong question.........??????

Answer:

what ?

Step-by-step explanation: