What is the average rate of change of the function f(x) = 2x2 + x + 5 over the interval −2 ≤ x ≤ 2?
A. −4 B. −1 C. 1 D. 4

Answer:

y≤[tex]\frac{1}{3} x+1[/tex]

Step-by-step explanation:

Since the graph is facing down, We know the equation is y<mx+b

Since slope is rise/run the slope is 1/3.

Since the y intercept (The point where the line hits y) is 1, the equation is

y<1/3x+1

BUT WAIT!

The line is solid meaning that we have to include the line as part of the values. This will make the new equation

y≤[tex]\frac{1}{3} x+1[/tex]

Answer:

(a) x = 2

Step-by-step explanation:

x - 12 = -8x + 6

First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)

x - 12 + 8x = 6

x + 8x = 6 + 12

9x = 18

Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)

x = [tex]\frac{18}{9}[/tex]

x = 2

Therefore, your answer is (a), since x = 2.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

let father s weight be 3x

son s weight be x

3x- x = 50

2x = 50

x =25

Answer:

i need help with this question tooo

Step-by-step explanation:

The corresponding sides have equal ratios, so the triangles are similar triangles.

From the question, we have:

In triangle ABC, AB = 3, BC = 5 and AC = 4

In triangle EDC, ED = 9, DC = 15 and EC = 12

For the triangles to be similar, then the corresponding sides must have an equivalent ratio.

This is calculated as:

[tex]\mathbf{Ratio = \frac{ED}{AB} = \frac{DC}{BC} = \frac{EC}{AC}}[/tex]

So, we have:

[tex]\mathbf{Ratio = \frac{9}{3} = \frac{15}{5} = \frac{12}{4}}[/tex]

[tex]\mathbf{Ratio =3 = 3 = 3}[/tex]

[tex]\mathbf{Ratio =3}[/tex]

Because the corresponding sides have equal ratios, then the triangles are similar.

Read more about similar triangles at:

https://brainly.com/question/19738610

Answer:

The tectonic plates.

Step-by-step explanation:

If you look at a diagram of Earth on Google, you'll see there's the crust, the mantle, the core...etc. If the tectonic plates are apart of the crust- which is the Earth's surface, then it's safe to assume the shell of the egg is the tectonic plates.

Answer:

9/10

Step-by-step explanation:

Answer:On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)

Step-by-step explanation:

(f + g)(x) = -x² + 3x + 5 + x² + 2x = 5x + 5

=> y = 5x + 5

=> the slope is positive

the line crosses the x-axis at (-1;0) and the y-axis at (0;5)

Answer:

I think it is the last graph on Edge

Step-by-step explanation:

Sorry if I'm wrong ;-;

Answer:

x=71/9, y= -47/9

Step-by-step explanation:

5x+2y=29

x+4y=13 subtract 4y from both sides

x= -4y+13 substitute on the first one

5( -4y+13) + 2y = 29 distribute in parenthesis

-20y - 65 +2y =29 add 65 to both sides

-20y +2y = 29+65 combine like terms

-18y = 94 divide by -18 both sides

y= 94/-18= -47/9

substitute y =-47/9 in x=-4y+13

x=-4(-47/9)+13=(188/9)+13=188+117/9=71/9

Answer:

3. Distributive

Step-by-step explanation:

In the equation 3(x - 2y) if you distribute the 3 to the x and the -2 you would get 3x-6y.

The property illustrated in the equation is 3)Distributive

Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

Given here, 3x-6y=3(x-2y)

Thus clearly 3 is distributed over x and 2y

Hence, The property illustrated in the equation is 3)Distributive

Learn more about the distributive property here:

https://brainly.com/question/5637942

#SPJ2

Answer:

[tex]-9[/tex] and [tex]-3[/tex]

Answer: D

Step-by-step explanation:

Answer:

Answer= D

Step-by-step explanation:

Answer:

(8 / x) + (21 / y)

Step-by-step explanation:

Given that:

Average driving speed = x mph

Miles driven to work = 8 mile

Miles by train to work = 21 miles

Average train speed = y

Total time taken to get to work. :

Recall : time taken = distance / speed

Hence,

Time taken =) total distance / average driving speed)

Total time taken = (8 / x) + (21 / y) hours

Total time taken = (8 / x) + (21 / y) hours

Answer: The average speed of the train is represented by x+20. When Megan drives at an average speed of 45 mph, it takes her approximately 0.50 hour to get to work.

Step-by-step explanation:

Just took the test on plato :)

Answer:

24.7

Step-by-step explanation:

Answer:

x = 14

I am sure of the answer :)

Answer:

Step-by-step explanation:

I can't help u

Answer:

[tex]16a^2b^4[/tex]

Step-by-step explanation:

GCF= Greatest Common Factor

Given a polynomial, the GCF is the largest polynomial that will divide evenly into that polynomial.

The polynomial is

[tex]16a^4b^4 + 32a^3b^5 - 48a^2b^6[/tex]

First, we find the GCF of the coefficients:

16, 32, 48

Since 32 and 48 are multiples of 16, 16 is the GCF of the coefficients.

Now we select all the repeating variables with their smallest exponent:

[tex]a^4, a^3, a^2.\ GCF= a^2[/tex]

[tex]b^4, b^5, b^6.\ GCF=b^4[/tex]

The GCF of the polynomial is

[tex]\boxed{16a^2b^4}[/tex]

Answer:

Negative slope.

Step-by-step explanation:

Answer:

It is a negative slope

Step-by-step explanation:

the line it going down

hope this helps :3

Answer: Read the following,

Step-by-step explanation:

1

The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl.  Assume this level varies from child to child according to an approximate normal distribution.  What percentage of children have a cholesterol level above 200 mg/dl?Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.  In healthy Alaskan brown bears, the amount of porphyrin in the bloodstream (in mg/dl) has approximate normal distribution with a mean of 38 mg/dland a standard deviation of 12.  What proportion of these bears have between 27.5 and 67.5 mg/dl porphyrin in their bloodstream?A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet.  Assume that these amounts have approximately a normal distribution.  What proportion of trees contains more than 150 cubic feet?GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34.  What proportion of freshman biology majors have GPA above 3.50?Mensa is an organization whose members possess IQs in the top 2% of the population.  If the IQs are normally distributed with a mean of 100 and a standard deviation of 15, what is the minimum IQ necessary for admission?Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz.  The distribution is approximately normal.  A kitten isdesignated as dangerously underweight when, at 10 weeks, it weighs less than 10.0 oz.  What proportion of healthy kittens will designated as dangerously underweight?

Answer:

Algebra 1 questions and answers - Get algebra 1 help with questions involving ratios, proportions, equations with 2 variables, monomials, polynomials, factoring, inequalities, absolute value, graphing, lines, x-intercept, y-intercept, slope, parabolas, functions, roots, radicals, quadratic equations, the quadratic formula and more.

Step-by-step explanation:

Answer:

10/(2/5)

Step-by-step explanation:

Answer:

7(100-1)

Step-by-step explanation:

That's it right there

Answer:

33.33% I am pretty sure

Step-by-step explanation:

Answer: 33%

Step-by-step explanation:

Answer:

The Slope = -1

Answer:

C.) The amount of money she saved before attending lessons.

Answer:

42.95 first price hiked 25%, then discounted by 25% : Final price = 40.28

42.95 first discounted by 25%, then price hiked by 25% : Final price = 40.27

Both are same (approx) because of same mathematical treatment

Step-by-step explanation:

Last season price = 42.95

This season increase in price = 25% of 42.95 = 10.73

Jeans price at beginning of this season = 53.68

Discount on sale price, this season = 25% of 53.68 = 13.42

Discounted jeans price this season = 53.68 - 13.42 = 40.28

Last season price = 42.95

Discount on previous price = 25% of 42.95 = 10.73

Jeans price this season = 42.95 - 10.73 = 32.22

Price hike this season = 25% of 32.22 = 8.05

New jeans price this season = 32.22 + 8.05 = 40.27