1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
3 years ago
10

Find the limit of the function by using direct substitution. (2 points) limit as x approaches two of quantity x squared plus eig

ht x minus two. 18 Does not exist 0 -18
Mathematics
1 answer:
mr_godi [17]3 years ago
6 0

Answer:

18

Step-by-step explanation:

Given f(x) = x^2 +8x - 2

applying limit as x approaches two

\lim_{x \to \2} _2 (x^2+8x-2)

substitute direct method put x =2

\lim_{x \to \2} _2 (x^2+8x-2) = 2^{2} +8(2)-2 =18

You might be interested in
Find the midpoint of the segment with the following endpoints.<br> (2,9) and (8,1)
vazorg [7]

Answer:

\displaystyle (5,5)

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>

  • Coordinates (x, y)
  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 9)

Point (8, 1)

<u>Step 2: Identify</u>

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

<u>Step 3: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [Midpoint Formula]:                                                         \displaystyle (\frac{2+8}{2},\frac{9+1}{2})
  2. [Fractions] Add:                                                                                                  \displaystyle (\frac{10}{2},\frac{10}{2})
  3. [Fractions] Divide:                                                                                              \displaystyle (5,5)
7 0
3 years ago
Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure wi
evablogger [386]

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

<u>Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.</u>

4 0
3 years ago
Which point on the number line represents 1/4?
Mashutka [201]
1/5 hope this helps have a good day :)
5 0
3 years ago
Read 2 more answers
What is the initial y-value of the linear function whose graph includes the points (-5, 0) and (6, -22)?
Sveta_85 [38]
Initial of those two points? its always the leftmost one, or whichever has the lowest x value
7 0
4 years ago
A box is 60 cm long. which of these is closest to the length of this box in feet?
likoan [24]

Answer: the answer is 1.97

Step-by-step explanation:   hope that helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do i write x^4•x^3 without exponents
    8·1 answer
  • I need the answer the complete my homework because it's confusing
    5·1 answer
  • Can someone please help ?
    14·1 answer
  • Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta
    5·1 answer
  • The absolute value of a number is always positive or 0.<br> A. True<br><br> B. False
    8·2 answers
  • There are 12 red and blue pencils on a desk.There are twice as many red pencils as blue pencils.How many read pencils are there
    9·2 answers
  • What is the scale factor????
    12·1 answer
  • ZA and B are complementary angles. If m_A = (x – 15)° and m ZB = (x + 3)º, then find the measure of ZB.​
    14·1 answer
  • Help plz asap! test due today​
    7·1 answer
  • The price for pumpkin last year is $1.40 per kilogram. The price for pumpkin this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!