() = ( − 312)^3( + 8900)( − 40800)^2 At which x-intercept(s) is the graph of f tangent to the x-axis, describe the end behavior

The value of function (f о g) (5) would be,

⇒ (f о g) (x) = 26

We have to given that;

Functions f and g are,

⇒ f(x) = x + 1

⇒ g(x) = 5x

Now, We can formulate;

⇒ (f о g) (x)

⇒ f (g (x))

⇒ f (5x)

⇒ 5x + 1

At x = 5;

⇒ 5 × 5 + 1

⇒ 25 + 1

⇒ 26

Thus, The value of function (f о g) (5) would be,

⇒ (f о g) (x) = 26

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Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

Answer:

2 real solutions

Step-by-step explanation:

hello,

\(\Delta = b^2-4ac=3^2-4*1*1=9-4=5>0\)

as this is > 0 there are 2 different real solutions

hope this helps

The quadratic equation, y = x² + 3x + 1 has two real roots.

In a quadratic equation of the form, ax² + bx + c = 0, the nature of the roots depends upon the value of the discriminant (D), which is calculated by the formula, D = b² - 4ac.

If the value of D > 0, the equation has real and distinct roots.

If the value of D = 0, the equation has real and equal roots.

If the value of D < 0, the equation has imaginary roots.

In the question, we are given an equation y = x² + 3x + 1 and are asked to say how many real roots it has.

To find the roots, we first equate y to 0.

∴ y = x² + 3x + 1 = 0.

Now comparing the equation x² + 3x + 1 to the standard equation ax² + bx + c, we get a = 1, b = 3, and c = 1.

Now, the nature of the roots depends upon the discriminant (D),

D = b² - 4ac = 3² - 4.1.1 = 9 - 4 = 5.

∵ Discriminant (D) > 0, the quadratic equation, y = x² + 3x + 1 has both its root real and distinct.

∴ The quadratic equation, y = x² + 3x + 1 has two real roots.

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Answer:

30° and 60°

Step-by-step explanation:

Let the interior angles be ∠x₁ (smaller) and ∠x₂ (larger), and the exterior angle ∠X.

Making the statements into equations :

Size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles ⇒ ∠X + ∠x₁ + ∠x₂ = 180° [Equation 1]

Greater of the opposite interior angles exceeds smaller by 30° :

⇒ ∠x₂ = ∠x₁ + 30° [Equation 2]

By exterior angle property :

⇒ ∠x₁ + ∠x₂ = ∠X [Equation 3]

Substituting Equation 3 in Equation 1 :

⇒ ∠x₁ + ∠x₂ + ∠x₁ + ∠x₂ = 180°

⇒ 2 (∠x₁ + ∠x₂) = 180°

⇒ ∠x₁ + ∠x₂ = 90°

⇒ ∠x₂ = 90° - ∠x₁ [Equation 4]

Substituting Equation 4 in Equation 2 :

⇒ 90° - ∠x₁ = ∠x₁ + 30°

⇒ 2∠x₁ = 60°

⇒ ∠x₁ = 30°

Substituting the value of ∠x₁ in Equation 2 :

⇒ ∠x₂ = 30° + 30°

⇒ ∠x₂ = 60°

The measures of the interior angles are 30° and 60°

Answer:

7-3x=x-4(2+x)

7-3x=x-8-4x

7-3x-x=-8-4x

7-4x=-8-4x

-4x+4x=-8-7

0 =-15

=-15/0

=0

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

2,324.

Step-by-step explanation:

Given that a utility company charges $ 0.12 per kilowatt-hour for energy a customer uses, and they give a credit of $ 0.0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves, if a customer has a charge of $ 82.04 and a credit of - $ 4.10 on this mouth bill, to determine how many kilowatt-hours did they use the following calculation must be performed:

(82.04 / 0.12) + (-4.10 / - 0.0025) = X

683,666 + 1,640 = X

2,323.66 = X

Thus, rounded to the nearest whole number, users used 2,324 kilowatts per hour.

Answer:

B

Step-by-step explanation:

B is the only one that doesnt share x-values

Answer:

£2112

Step-by-step explanation:

To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts

Divide the win by 5 to find the value of one part of the ratio.

£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus

4 parts = 4 × £1760 = £7040 ← Gavin's share

Now repeat the process with the ratio for his family

1 + 6 + 3 = 10 parts

£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus

6 × £704 = £4224 ← wife's share

3 × £704 = £2112 ← son's share

Difference = £4224 - £2112 = £2112

Thus his wife gets £2112 more than the son

The additional statement that would prove that AB ≅ AC is:

C. Either statement is sufficient

About Triangles:

Three sides and three internal angles define a triangle, a straightforward polygon. The symbol Δ is used to represent one of the fundamental geometric shapes in which the three vertices are connected to one another. Triangles are categorized according to their sides and angles into numerous different forms.

Types of Triangles:

What do the terms scalene, isosceles, and equilateral triangle mean?

The three sorts of triangles that are distinguished from one another by their side lengths are scalene, isosceles, and equilateral.

Detailed Explanation:

The answer is either statement is sufficient, so let's try to prove AB ≅ AC  with both the statements separately.

A) CD ≅ BD only

CD ≅ BD ∣ Given in the statement

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB ≅ AC ∣ Since corresponding parts of congruent triangles are equal  

B) ∠B ≅ ∠C only

∠B ≅ ∠C | Given in the statement

∴ by isosceles triangle theorem ( if two sides of a triangle are congruent, then angles opposite those sides are congruent and if angles opposite those sides are congruent, then two sides of a triangle are equal. )

⇒AB ≅ AC ∣ Since corresponding sides of congruent triangles are equal  

Hence, we can use either statement to prove that AB ≅ AC.

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Answer:

4

Step-by-step explanation:

5 x 0.32 = 1.6

3 x 0.8 =  2.4

2.4 + 1.6 = 4

a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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Answer:

C = 5

Step-by-step explanation:

This is the only answer that makes the inequality true when you plug in the C value.

C=10

6(10) = 60

60 > 52

C=12

6(12) = 72

72 > 52

C=5

6(5) = 30

30 < 52

C=9

6(9) = 54

54 > 52

All of the other options are greater than 52 instead of less than.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

Answer:

2y+1+9x is written as a product of three factors

The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

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Answer:

15.620

Step-by-step explanation:

use pythagorean theorm :)

(the 6 is pointless for this problem)

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

The linear equation is.

y = -0.4*x + 28

Using that, we can see that a person that spends 10 hours in social media is about 45 years old.

Remember that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

\(a = (y_1 - y_2)/(x_1 - x_2)\)

In this case we have the two points:

(50, 8) and (20, 20)

Where the first value is the age and the second is the time they spend on social media.

Using these values, we can get the slope:

\(a = (20 - 8)/(20 - 50) = 12/-30 = -0.4\)

Then the line is something like:

y = -0.4*x + b

To find the value of b we can evaluate the point (20, 20), this gives:

20 = -0.4*20 + b

20 + 0.4*20  = b

28 = b

Then the linear equation that models this situation is:

y = -0.4*x + 28

Using this, the age of a person who spends 10 hours per week in social media is given by solving:

10 = -0.4*x + 28

(10 - 28)/-0.4 = x

45 = x

So a person that spends 10 hours in social media is about 45 years old.

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Answer:

Here's your answer :)

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Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Answer:

12

Step-by-step explanation:

If Alicia has 2 pets Fatima has 4 since 2 x 2 = 4. Izzy has 3 times as many as Fatima then she has 12 since 3 × 4 = 12

Answer:

both are c

Step-by-step explanation:

Answer:

B.) For every 8 bows, there are 4 headbands.

Step-by-step explanation:

Answer:

try A B and D

Step-by-step explanation:

Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

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9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The distance formula is good for finding the distance between two points.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25

  d = 5

The distance between the points is 5 units.

_____

You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.