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3 years ago

What is the discriminant of the quadratic equation

Mathematics

1 answer:

kkurt [141]3 years ago

7 0

The discriminant is b^2 -4ac
a = 1
b = -2
c = 4

discriminant = 4 -4 * 1 * 4 =
4 -16 =
-12
I get MINUS 12 as the answer but that isn't one of the choices.

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Help asap show work

katovenus [111]

Answer: see below

Step-by-step explanation:

17) 5n - 3 > -2n + 4 and 9 - 4n ≥ -2n + 1

+2n +2n +2n +2n

7n - 3 > 4 9 - 2n ≥ 1

+3 +3 -9 -9

7n > 7 -2n ≥ -8

÷7 ÷7 ÷ -2 ↓ ÷ -2

n > 1 and n ≤ 4

Graph: o----------------- ·

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18) 9k - 2 ≤ 9 + 10k < 9 - 4k

9k - 2 ≤ 9 + 10k and 9 + 10k < 9 - 4k

-10k -10k +4k +4k

-k - 2 ≤ 9 9 + 14k < 9

+2 +2 -9 -9

-k ≤ 11 14k < 0

÷ -1 ↓ ÷ -1 ÷14 ÷14

k ≥ -11 and k < 0

Graph: · -----------------o

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19) 4 - n ≤ 10 + 5n ≤ 6n + 1

4 - n ≤ 10 + 5n and 10 + 5n ≤ 6n + 1

-5n -5n -6n -6n

4 - 6n ≤ 10 10 - n ≤ 1

-4 -4 -10 -10

-6n ≤ 6 -n ≤ -9

÷ -6 ↓ ÷ -6 ÷ -1 ↓ ÷ -1

n ≥ -1 and n ≥ 9

Graph: · -----------------→

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20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7

4p - 5 ≤ 2p + 9 and 2p + 9 ≤ 4p + 7

-2p -2p -4p -4p

2p - 5 ≤ 9 -2p + 9 ≤ 7

+5 +5 -9 -9

2p ≤ 14 -2p ≤ -2

÷ 2 ÷ 2 ÷ -2 ↓ ÷ -2

p ≤ 7 and p ≥ 1

Graph: · ----------------- ·

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6 0

3 years ago

Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.

DaniilM [7]

Find the b value by plugging in the slope and known coordinates,

-2=0(4)+b
-2= 0+b
-2=b
You can also tell this without calculating since a slope of 0 will always have the same y value. Therefore if (4,-2) is on the line, the y value of the whole line must be -2.

Final answer: y=0x-2, which is y=-2

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3 years ago

How can you show that two objects are proportional with a table?

vredina [299]

So this is our table:

-----------------
x-values | a b c d e f |
-----------------
y-values | g h i j k l |
-----------------

You can know that the values in the table are proportional if:

$\frac{a}{g}=\frac{b}{h} =\frac{c}{i}=\frac{d}{j}=\frac{e}{k}=\frac{f}{l}$

Hope that helps :)

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3 years ago

What is the volume if the base is 48 square inches and height is 8 inches

nikitadnepr [17]

Answer:

Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.

Step-by-step explanation:

Well volume for those two shapes could be b*h

SO base times height is always gonna give you volume for most shapes

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3 years ago

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What is the y-intercept of f(x)=3

HACTEHA [7]

Answer:

Step-by-step explanation:

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2 years ago