7x2 + 49x - 56
What is the GCF? (If there is no GCF, type "na")

When going through the process of determining the factors after removing any possible GCFs, the two factors need to:

•add up to______x
• multiply to_______​

Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

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Answer:

7minutes

Step-by-step explanation:

so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer:

Step-by-step explanation:

Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0:  2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.

Now do the same thing with

-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4.  Thus, this function is not continuous at x = 2.  

We must reject statement A.

Statement B:  as x increases without bound, (1/2)x + 3 also increases without bound.  This statement is true.

Statement C:  False, because the quadratic -x^2 - 4x + 1 has a maximum at

x = -b/[2a], or x = -(-4)/[-2], or x = -2

Statement D:  True:  there are no limitations on the values of the input, x.

The statement B is as x approaches positive infinity f(x) approaches positive infinity is true

A point or level beyond which something does not or may not extend or pass.

We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]

at the break point x = 0

[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,

So these two functions approach the same value as x approaches 0.

Now do the same thing with

[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;

The first comes out to -11 and the second to 4.  

Thus, this function is not continuous at x = 2.  

We must reject statement A.

for B we have as x increases without bound,

[tex](1/2)x + 3[/tex]

also increases without bound.  

Therefore the statement B is true statement.

Statement C is  False,

because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at

[tex]x = -b/[2a],[/tex]

[tex]x = -(-4)/[-2],[/tex]

[tex]x=-2[/tex]

There are no limitations on the values of the input, x.

D is also false negative number are in real numbers.

Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true

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Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7600 ≥ 250r+425p

7600 ≥ 250(13)+425(11)

7600 ≥ 3,250+4675

7600≥7925

This statement is incorrect. Therefore no, the truck cannot transport that load

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

Answer:

The answer to the question is 80π

Answer:

Lateral area:

Total surface area:

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

Answer:

A. 8 feet

Step-by-step explanation:

96 = 12 (x)

96/12 = x

8 = x

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

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Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

Answer:

x=4

Step-by-step explanation:

7(2x+8)=4(28)

14x+56=112

14x=112-56

14x=56

x=4

Answer:

67....................

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

Step-by-step explanation:

(1/2 mile)/(1/12 hour) = 12/2 = 1 mph

How long it takes someone to walk a trail depends on the length of the trail, which you did not provide.  The formula is distance = rate*time, so time = distance/rate.  You know the rate = 1 mph

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Answer:

90

Step-by-step explanation:

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Answer:

Distributive

Step-by-step explanation:

Answer:

This should be distributive

Answer:

64

8² = 64

4³ = 64