A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

Answer: um i think 300

Step-by-step explanation:

Given Polynomial P(x) = x^3+4x^2-px+8

Given that P(x) is exactly divisible by (x-2) then by

factor theorem it is a factor and P(2) = 0

⇛ (2)^3+4(2)^2-p(2)+8 = 0

⇛8+4(4)-2p+8 = 0

⇛ 8+16-2p+8 = 0

⇛ 32-2p = 0

⇛32 = 2p

⇛ 2p = 32

⇛ p = 32/2

⇛ p = 16

Answer:- The value of p is 16.

Read more:

Similar Questions

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...

https://brainly.com/question/12852511?referrer

Answer:

16.

Step-by-step explanation:

By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:

f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0

-2p + 32 = 0

p = 16.

Answer:

The sale price of the doll is $30.6

Step-by-step explanation:

The original price of the doll

= $36

Discount:-

= 15% of 36

= 15%×36

= 15/100×36

= 5.4

Sale price of the doll

= original price - discount

= $(36 - 5.4)

= $30.6

Answer:

You are correct

Step-by-step explanation:

9. option B

3,13

13 = 5(3) - 2

13 = 15 - 12 → 13 = 13

Answer:

No

Step-by-step explanation:

2/3 > 1/2

4/9 < 1/2

Answer:

The left side ( [tex]\frac{2}{3}[/tex] )

0.6 (bar notation)  

does not equal to the right side ( [tex]\frac{4}{9}[/tex] )

0.4 (bar notation)

, which means that the given statement is false.

False

Answer:

RS = 6

Step-by-step explanation:

The line joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

RS = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 12 = 6

Answer:

Eight is a coefficient in the equation 7x+8y

Answer:

B. b = mt/v

Step-by-step explanation:

b/t = m/v

bv = tm

b = tm/v

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

Answer:

4x-5

Step-by-step explanation:

the answer is 4x-5 as we apply multiplication and subtraction

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

$162.75

Step-by-step explanation:

150 * 1.085 = 162.75

Answer:

See below:

Step-by-step explanation:

As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.

Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:

+ Supplementary Angles are angles that add up to 180 degrees

+ Complementary Angles are angles that add up to 90 degrees.

So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.

Cheers!

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

Answer:

y = 5x - 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line

Answer:

a = d

Step-by-step explanation:

I recommend writing the math out.

a = d ≠ s

d can not be equal to s, the same why a can not be equal to s. a and d are the same. a is equal to d, so it can not be a ≠ d. By process of elimnation, that leaves us with a = d

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

Answer:

603 because it’s odd

360 because it doesn’t have a 0 in the tens place

502 because the sum of the digits doesn’t equal 9

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

Answer:

answer down below:

https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard

Step-by-step explanation:

Answer:

4, 7.5

Step-by-step explanation:

4. (x+6)(x+10)=140 ->

x=4

5. 550 = 8(x-2)(x+5) ->

x=15/2=7.5

Hope that helps! :)

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

Answer:

360

Step-by-step explanation:

Because an exterior angle equal to 1 the total number of sides is equal to 360°.

Answer:

There is no way of finding out.

Step-by-step explanation: