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BartSMP [9]
3 years ago
13

Identify the rate of change of the function.

Mathematics
2 answers:
kati45 [8]3 years ago
5 0

67Answer:67

Step-by-step explanation:

elena-14-01-66 [18.8K]3 years ago
5 0
Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )
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Translate the sentence into an inequality.
Luda [366]

Answer:

5 + c > -22

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Inequalities

Step-by-step explanation:

<u>Step 1: Define</u>

Sum of 5 and c is greater than -22

↓ <em>Identify</em>

Sum = addition

  • 5 + c

Is greater than = inequality

  • >

Add them all together:

5 + c > -22

8 0
3 years ago
Help me out please will mark you BRAINLIST
melisa1 [442]

Answer:

D. 18.68

Step-by-step explanation:

27\div \frac{5}{3}-6+53\times (\frac{2}{5})^2

Applying PEMDAS as order of operations.

Solving the exponents first [(\frac{2}{5})^2=\frac{4}{25}]

=27\div \frac{5}{3}-6+53\times \frac{4}{25}

Multiplying [53\times \frac{4}{25}=8.48]

=27\div \frac{5}{3}-6+8.48

Dividing [27\div \frac{5}{3}=16.2]

=16.2-6+8.48

Adding and subtracting.

=18.68

6 0
3 years ago
hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U ​
zzz [600]

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

<h3>Answer:  Choice D.  y = -(1/16)x^2</h3>

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

  • a = 2
  • b = 4
  • c = 3

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

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

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

<h3>Answer: Choice B.  (-1,1)</h3>
8 0
2 years ago
1.3 Dominic buys a calculator costing £7.50, 3 packets of pens costing £1.80 for each packet and
Naddika [18.5K]
I believe the answer is .60
4 0
3 years ago
Read 2 more answers
What would the points (400,10) represent on the graph​
olga nikolaevna [1]

Answer:

No solution

Step-by-step explanation:

You didn't include enough information

4 0
3 years ago
Read 2 more answers
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