To factor f2 + 6f + 9, find the factor of 9 with both positive signs and whose sum is ____

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The Instantaneous velocity of particle at 2 minutes is ~

Refer to the attachment for solution ~

Answer:

the factored form is 5(y + 8z)

Step-by-step explanation:

Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)

Answer: Alex has $77 more than Amy

Explanation:

Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.

Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.

Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.

Answer:

Length is 30ft, area is 600ft squared

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

please mark me brainiest

1/10 = 10%

a percent is

[tex] \frac{part}{whole} = \frac{x}{100} [/tex]

If u take 1/10, 10 is one tenth of 100 (10*10=100).

Answer:

[tex]-a(b+5)(c+4)[/tex]

Step-by-step explanation:

[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]

The factor of the given expression is -a(b+5)(c+4)

Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object

Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,

-abc -5ac-4ab-20

- a(bc +5c+4b+20)

- ac(b+5)+4(b+5)

- a(b+5) (c+4)

Hence, the factor of the given expression is -a(b+5)(c+4)

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Step-by-step explanation:

if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).

the slope is in a line equation always the factor of x.

anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

so, we are simply going from (0, 2) to (5, 3).

x changes by +5 (from 0 to 5).

y changes by +1 (from 2 to 3).

so, the slope is y/x = 1/5.

Answer:

B. [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

(-9, 5)

Step-by-step explanation:

1. Find the equations of both lines (y = mx +b).

For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:

f1(x) = 2x + 23

For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,

f2(x) = -7x - 58

2. Set the equations equal to each other to find the x-value at which the two equations will intersect.

2x + 23 = -7x - 58

9x = -81

x = -9

3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.

y = 2x + 23

y = 2(-9) + 23

y = 5

OR

y = -7x - 58

y = -7(-9) - 58

y = 5

ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).

Answer:

x = -9 and y =. 5

Step-by-step explanation:

(-2, 19) and (-1, 21)

Slope: (21-19)/(-1- -2) = 2

y-intercept = 21 - (2)(-1) = 23

a) y =2x + 23

(-2,-44) and (-1,-51)

Slope: (-51- - 44)/(-1- -2) = -7/1 = -7

y-intercept: -44-(-7)(-2)=-58

b) y = -7x - 58

Substitute y in equation a.

-7x-58 = 2x + 23

-9x = 81

x = -9

Substitute X by -9 in equation b: y = -7(-9) - 58= 5

y = 5

Answer:

It's x² -12xi-12x

Step-by-step explanation:

You always do ax²+bx+c

.,........................

Answer:

I can't explain this discrepancy other than to suggest that they are talking about 2 different groups.  The boss has included his salary in the average, but the employee is only concerned about the wage of the average worker.

Step-by-step explanation:

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;

Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.

Therefore,

The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)

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Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km

Answer:

3a+ 16

Hope this helps!

Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

Explanation:

List list the multiples of each value

In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6

Side note: The LCM is useful to help add and subtract fractions.

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Answer:

41.5g of sugar

Step-by-step explanation:

8.3 x 5

Answer: 6 1/3

Step-by-step explanation:

4x-14 = -2x+24

4x = -2x+24 + 14  [Add 14 to both sides]

4x + 2x = 24 + 14  [Add 2x to both sides]

6x = 38                 {Combine like terms]

 x  = (19/3) or 6 1/3

Answer:

(1/2) and 9/10

Step-by-step explanation:

[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]

Answer:

(4w+1)-(8w+6)

Step-by-step explanation:

Hope this helps :)

Answer:

it's answer is 10/-15.........

Answer:

39

Step-by-step explanation:

Lets solve for x:

We know the ratio is 1:3

1x+3x = 52

4x = 52

x = 13

Since the ratio is 1:3:

13(3) = 39

13:39

Which makes 39 the larger number

Answer:

only D as the correct answer

Step-by-step explanation:

The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.

A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.

This leaves only D as the correct answer.

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

Answer:

1/46,656 and Brad and Laura ARE like using unfair number cubes.

Step-by-step explanation: