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3 years ago

PLEASE HELP ASAP

Mathematics

2 answers:

Naya [18.7K]3 years ago

4 0

The equivalent expression of 25 - 64 are "a), b) and c)"

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

= 25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

= 25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

= 25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

= - 169, is not a equivalent expression.

Using the algebraic identity,

, is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".

lorasvet [3.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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3 years ago

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bonufazy [111]

Answer: the answer is -6

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3 years ago

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How many roots does this has? x^2+(2√5x)+2x=-10 find Discriminant

Alexxandr [17]

Given:

The equation is

$x^2+(2\sqrt{5})+2x=-10$

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

$x^2+(2\sqrt{5})x+2x=-10$

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

$x^2+(2\sqrt{5}+2)x+10=0$

Here, $a=1, b=(2\sqrt{5}+2), c=10$ .

Discriminant of the given equation is

$D=b^2-4ac$

$D=(2\sqrt{5}+2)^2-4(1)(10)$

$D=20+8\sqrt{5}+4-40$

$D=8\sqrt{5}-16$

$D\approx 1.89>0$

Since discriminant is $8\sqrt{5}-16\approx 1.89$ , which is greater than 0, therefore, the given equation has two distinct real roots.

3 0

3 years ago

The branch manager of an outlet (Store 1) of a nationwide

monitta

Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

size of sample n = 70

standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

95% Confidence interval

1-α = 0.95

α = 0.05

degree of freedom = 70-1 = 69

α/2 = 0.025

using the t distribution tsble,

= 1.9949

confidence interval = $21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\$

= 21.34 +- (1.9949*1.10200)

= 21.34 + 2.1984, 21.34 - 2.1984

= (23.5384, 19.1416)

the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384

2. sixe of those who only have a cat

p = 26/70 = 0.371429

at 90 % confidence interval,

1-α = 0.90

α = 0.10

we use the z table here

z(0.10/2) = Z(0.05)

= 1.645

$0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}$

= 0.371429 +-( 1.645 x 0.0578)

= 0.371429 + 0.095081, 0.371429 - 0.095081

= (0.276348, 0.46651)

3. sd = 10$

margin of erro,r e = 1.50$

α = 0.05

using z table

α/2 = Z0.025

= 1.96

sample size = 1.96² * 10² / 1.50²

= 3.8416 * 100/ 2.25

= 170.73

the sample size is approximately 171

d. we have 0.5 as sample proportion now

margin of error = 0.045

α = 0.10

Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5. sample of 334 should be taken by manager

3 0

3 years ago

If you withdraw part of your money from a certificate of deposit before the date of maturity, you must pay an interest penalty.

s344n2d4d5 [400]

Answer:

$\frac{3}{12} *100=25\\$

8,3*0,25=2,10%(2d.p)

Step-by-step explanation:

7 0

3 years ago