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
alexdok [17]
3 years ago
9

F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?

Mathematics
1 answer:
Gwar [14]3 years ago
3 0
<h3>Answer:     Negative</h3>

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

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

You might be interested in
Choose the correct vortex for the following quadratic function ​
Black_prince [1.1K]

Answer:

A

Step-by-step explanation:

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

x coordinate: -b/2a

-(-4)/2(1)=4/2=2

and to find the y coordinate just plug in the value of -b/2a for x and solve for y

4 0
2 years ago
Which of the following is equal to the expression below? (160x243)^1/5
Kipish [7]
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of  5)
Answer is D. 6 * (5th root of  5)
3 0
3 years ago
Scheels has a kayak that regularly sells for $389. Every Friday in November it was marked down by 32%. What is the amount of dis
Y_Kistochka [10]

Answer:

1. $264.52 is the remaining 68%

2. Sales tax is $19.83

3. The total price is 283.83

Explanation:

1. 389 times 0.68 will get you an answer of $264.52

2. 264.52 times 0.075 is $19.83

3. Add your two answers of $264.52 and $19.83 and you'll get your answer of $283.83

8 0
3 years ago
Tom wants to place a photograph that is 8.5 inches wide on his science fair poster. His poster board is 21.25 inches wide. How f
SOVA2 [1]

Answer:

6 3/8 inches (6.375 inches)

Step-by-step explanation:

For simplicity we'll assume that both the photo and the poster board are square.  To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2:  6.375 inches (6 3/8 inches).  

Set the photo 6 3/8 inches from each edge of the poster board.

6 0
3 years ago
9) A heptagon has 6 exterior angles with measures of 47, 55, 62, 64, 54, and 49. What is the measure of the interior angle adjac
svetlana [45]

Answer:

seventh  interior angle=∠x=29°

Step-by-step explanation:

sum of interior angle of polygon is equal to 360°

let seventh angle of heptagon is x

∠x+47°+55°+62°+64°+54°+49°=360°

∠x=360°-(47°+55°+62°+64°+54°+49°)

∠x=360°-331°=29°

∠x=29°

seventh  interior angle=∠x=29° answer

6 0
3 years ago
Other questions:
  • Y + 4x = 8 and 5x + 2y = 13
    12·1 answer
  • In gym class, you run one mile. You finish in 8 9/10 minutes. Ina finishes in 8.45 minutes. Davis finishes in 8 1/3 minutes. Ord
    8·1 answer
  • Someone plz help me with these 2 problems! thank you
    9·1 answer
  • Which statements are true about x? Select three options.<br> Oxe Buc<br> XeBNC<br> XEAUC<br> Oxe Anc
    7·1 answer
  • Please help me asap!!! It's an emergency!!!!!!!
    15·1 answer
  • Lin is 7 years younger than Adrian,
    10·1 answer
  • There were 532 people at the Nutcracker. If admission was $24 for adults and $16 for children and $10,272 was collected, how man
    10·1 answer
  • What is the next object in the pattern below
    10·1 answer
  • The given exponential function f(x)= (.67)* - 7 represents:
    10·1 answer
  • 100 POINTS!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!