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Hitman42 [59]
3 years ago
13

Find the number of real zeros of

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the determinant to determine the type of zeros

Given

f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• If b² - 4ac < 0 then 2 complex zeros

Given

f(x) = (x - 1)² + 1 ← expand factor and simplify

     = x² - 2x + 1 + 1

    = x² - 2x + 2 ← in standard form

with a = 1, b = - 2, c = 2, then

b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4

Since b² - 4ac < 0 then the zeros are complex

Thus P(x) has no real zeros

You might be interested in
Is y=-2/5x inverse or direct variation
liraira [26]

Answer:

direct

Step-by-step explanation:

The standard form of an equation representing direct variation is

y = kx ← k is the constant of variation

The standard form of an equation representing inverse variation is

y = \frac{k}{x} ← k is the constant of variation

y = - \frac{2}{5} x ← represents direct variation with k = - \frac{2}{5}

3 0
2 years ago
Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did s
Zepler [3.9K]

Answer:

0.1 yards of fabric

Step-by-step explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit = \frac{3}{5} yards of fabric

Starting fabric available = 10 × \frac{3}{4} or \frac{30}{4} yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × \frac{3}{5} yards of fabric

= \frac{42}{5} yards of fabric

Therefore,

The fabric left after making the outfits

= Fabric available in the start - Fabric used  in making the outfits

= \frac{30}{4} yards - \frac{42}{5} yards

= \frac{30\times5-42\times4}{4\times5} yards

=  \frac{150-168}{20} yards

= \frac{2}{20} yards

= 0.1 yards of fabric

5 0
3 years ago
Find missing numbers to make equation true.
faust18 [17]

Answer:

1. 7

2. 9

3. 9

4. 6

5. 10

I believe

3 0
3 years ago
Read 2 more answers
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

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

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
2 years ago
Solve the equation for x.<br><br><br> x2 = 576<br> /\<br> || <br> is supposed to be 2 over x
aleksklad [387]

Answer:

288

Step-by-step explanation:

2/x = 576

you have to make the x by itself so you would have to multiply 1/2 to 2/x for the first part

then you would carry the 1/2 over to 576 and multiply that by 1/2

the answer would become x = 288

5 0
3 years ago
Read 2 more answers
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