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3 years ago

How many real solutions does p^2-5p+7=0 have

Mathematics

1 answer:

jekas [21]3 years ago

8 0

Let's work out the discriminant b^2 - 4ac:-

D = (-5)^2 - 4*1*7 = 25 - 28 = -3

A negative discriminant shows that there are NO real solutions Answer

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How many terms are in the following expression?<br> 3x + 7 - (-4b) + 2x + (-b) + 5

Andrews [41]

Answer:

-5b+5x+12

Step-by-step explanation:

5 0

3 years ago

Factor 6a2 - 23a - 4.

rusak2 [61]

Answer:

(6 a + 1) (a - 4)

Step-by-step explanation:

Factor the following:

6 a^2 - 23 a - 4

Factor the quadratic 6 a^2 - 23 a - 4. The coefficient of a^2 is 6 and the constant term is -4. The product of 6 and -4 is -24. The factors of -24 which sum to -23 are 1 and -24. So 6 a^2 - 23 a - 4 = 6 a^2 - 24 a + a - 4 = a (6 a + 1) - 4 (6 a + 1):

a (6 a + 1) - 4 (6 a + 1)

Factor 6 a + 1 from a (6 a + 1) - 4 (6 a + 1):

Answer: (6 a + 1) (a - 4)

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3 years ago

How do you solve the equation 11+5|x−1|=17

NeTakaya

Answer: x= 9,-8

Step-by-step explanation:

6 0

3 years ago

Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and

Gre4nikov [31]

Answer:

$Ratio = 0.74$

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

$A = 3.5L$

$C = 2580mL$

Required

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Ratio is represented as thus:

$Ratio = C:A$

Rewrite as fraction

$Ratio = \frac{C}{A}$

This gives

$Ratio = \frac{2580mL}{3.5L}$

Convert L to mL

$Ratio = \frac{2580mL}{3.5*1000mL}$

$Ratio = \frac{2580mL}{3500mL}$

$Ratio = \frac{2580}{3500}$

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$Ratio = 0.74$ --- Approximated

6 0

3 years ago

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a

Vesnalui [34]

Answer:

2.5

Step-by-step explanation:

A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then

$\dfrac{A'B'}{AB}=\dfrac{A'C'}{AC}.$

Since

AB=4;
A'B'=10;
AC=6;
A'C'=15,

then the scale factor of the dilation is

$k=\dfrac{10}{4}=\dfrac{15}{6}=2.5.$

3 0

3 years ago