Find the gradient of each of these functions at the point indicated.
a) y = x^2 at (3,9)
b) y = - 4x^3 at (1,-4)
c) y = 2x^4 at (-1,2)
d) y = 6x at (2, 12)

Answer:

Your answer is C.

Step-by-step explanation:

I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{15}\) = \(\frac{1}{2}\) ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Answer:

C

Step-by-step explanation:

If we have some polynomial, P(x), and some real number,r, and the value of P(r)=0

then

\(x - r\)

is a factor of of the polynomial.

So since p(5)=0, then

\(x - 5\)

is a factor of the polynomial

C

Answer:

6 hours

Step-by-step explanation:

Let's highlight/bold some important terms.

A car drives 60 mph. Write and solve an eqaution to find the number of hours it takes the car to travel 360 miles.

So we know Speed multiplied by Time is equal to distance, or commonly known as;

S · T = D

So since we know this, we can substitute the values for the variables.

We know the mph is 60. And that's our speed.

The equation is now 60 · T = D

We know that the total distance the car needs to cover is 360.

The equation is now 60 · T = 360

Now we need to find the time it took.

We divide 360/60 to find out the total number of hours it took, and we get 6.

So the answer is that it took 6 hours to travel 360 miles with a speed of 60 mph.

Answer:

6 hours

Step-by-step explanation:

Answer:

c !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The graph represents the slope, the two equations represent the slope, but the chart does not because it isn't set up correctly. Hope this helps! :)

Answer:

4/25

Step-by-step explanation:

Answer:

16% as a fraction is 4/25

Step-by-step explanation:

Every percentage is over a 100. This means that 16% is the same as 16/100 and simplifying this it will be 4/25 ( dividing both by 4)

Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

Problem

4) g(x) = x2 + 4, h(x) = x +4. Find (g oh)(x)

Solution

We want to find goh(x) so we need to do the following:

goh(x) = ghf(x))

And replacing we got:

goh(x)= (x+4)^2 +3

And if we solve the square we got:

goh(x)=x^2 +8x +16+3= x^2 +8x+9

Answer:

T = 20

Step-by-step explanation:

Good Luck!

Answer: x = +20 by simple calculation

Answer:

1) b - correct statement: The interquartile range of the number of volunteers is 16

2) c - correct statement: About 50% of the students have between a 75 and a 90

Step-by-step explanation:

1B --> 66 - 50

2C --> About 50% of the students have between a 75 and a 90

Answer:

+9.4 to the nearest tenth

Step-by-step explanation:

(-4, 5) (4, 0)

Refering to the x-coordinates and the y-coordinates of these two points, we see that x changes from -4 to 4, a change of 8, which forms the horizontal leg of a right triangle.  Simultaneously, y changes from 5 to 0, a change of 5, which forms the vertical leg.  Now use the Pythagorean Theorem to determine the length of the hypotenuse of this triangle; this hypotenuse is the distance between the two points:

distance = +sqrt(8^2 + 5^2) = +sqrt(64 + 25) = + sqrt( 89) = +9.43 to the nearest hundredth and +9.4 to the nearest tenth.

Answer:

I NEED MORE INFO TO SOLVE THIS PROBLEM

Step-by-step explanation:

1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

To express 1.32 (bar on 32) + 0.35 (bar on 35) in fractional form, we can use the following steps:

Step 1: Let x = 1.32 (bar on 32)

So, x = 1.323232... (since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 100x = 132.323232...

Step 2: Subtract x from 100x to eliminate the repeating decimal:

100x - x = 132.323232... - 1.323232...

99x = 131

x = 131/99

Step 3: Let y = 0.35 (bar on 35)

So, y = 0.353535...(since the bar notation indicates that the digits after the bar repeat infinitely).

This means that 10y = 3.5

Step 4: Subtract y from 100y to eliminate the repeating decimal:

100y = 35.353535...

100y - y = 35.3535... - 0.3535..

99y = 35

y = 35/99

Step 5: Add x and y to get the sum in the fractional form:

1.32 + 0.35 = (131/99) + (35/99)

Step 6: Simplify the sum by finding a common denominator and adding the numerators:

1.32 + 0.35 = (131/99) + (35/99)

1.32 + 0.35 = 166/99

Therefore, 1.32 (bar on 32) + 0.35 (bar on 35) is equal to 166/99 in the simplest form.

The question was Incomplete, Find the full content below :

Express 1.32 (bar on 32) + 0.35 (bar on 35) as a fraction in the simplest form

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The transformation t is defined as t(x) = ax, where a is a constant.

To find the image of u under the transformation t, we need to substitute u for x in the expression t(x).

The transformation t:[3 ≥ [2 is defined as t(x)=ax, where a is a constant.

This means that for any given value of x in the domain [3,

the transformation t maps it to a corresponding value of ax in the codomain [2.

To find the image of u under the transformation t

                                     t(u) = au.

This means that the image of u under the transformation t is the value of au in the codomain [2.

For example, if u = 4 and a = 2, then t(u) = 2(4) = 8, which is the image of u under the transformation t.

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The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.

Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.

Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.

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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"

mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.

mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.

In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.

In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.

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Answer:y=7.25

Step-by-step explanation:

To be a function every input value (x) can only have one output value (y)

On the graph there are 2 out put values for x = 2 so it is not a function.

The answer would be C.

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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Answer:

2400

Step-by-step explanation:4152 is just 173% of d.

We create an equation d = 4152/1.73

after solving you get 2400.

Answer:

the answer is 50

Step-by-step explanation:

the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.

Answer:

0.04899559039

Step-by-step explanation:

I put it in the caculator

Answer: The answer is 20.41

Step-by-step explanation:

The correct answer is (B) 14 inches.

To determine the rise of the ramp, we can use the trigonometric relationship between the angle and the rise. The rise of the ramp is given by the formula:

Rise = Run × tan(angle)

In this case, the angle is given as 4.5°, and the run is given as 180 inches. Substituting these values into the formula, we can calculate the rise:

Rise = 180 × tan(4.5°)

Using a calculator, we find that the rise is approximately 14.017 inches.

Rounded to the nearest inch, the rise of the ramp is 14 inches.

The correct answer is (B) 14 inches.

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Answer:

All are true

Step-by-step explanation:

You’re welcome

Using the top number line, p + q and p + (-q) can be located as shown in the attached image.

A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations. It is also a pictorial representation of the real numbers.

Since point p has a value of 2 and point q has |q| = 5. We can say:

p + q = 2 + 5 = 7

p + (-q) = 2 + (-5) = -3

Therefore, using the top number line, we can then locate p + q and p + (-q) with their calculated values (Check the green dot in the attached image).

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Complete Question

Check the attached image

Answer:

9*10^4

Step-by-step explanation:

Answer:

90,000 is written and 9x 10^4 in scientific notation

There will be 20 3-point questions and 10 4-point questions on the test.

a. Identify the problem: Determine the number of 3-point and 4-point questions on the test.

b. Let the number of 3-point questions = x and the number of 4-point questions = y. Write the two equations for the system:

x + y = 30 (equation 1, representing the total number of questions)

3x + 4y = 100 (equation 2, representing the total points on the test)

c. Use substitution to solve for y in the first equation:

y = 30 - x

d. Substitute the value for y into the second equation to solve for x:

3x + 4(30 - x) = 100

3x + 120 - 4x = 100

-x = -20

x = 20

e. There will be 20 3-point questions and 30 - 20 = 10 4-point questions.

f. Check the solution by substituting the values into both equations:

20 + 10 = 30 (equation 1 is satisfied)

3(20) + 4(10) = 100 (equation 2 is satisfied)

Therefore, there will be 20 3-point questions and 10 4-point questions on the test.

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Answer:

D. y=-2x+4

Step-by-step explanation: