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2 years ago

Factor the equation 16x^2 -2x-5

Mathematics

1 answer:

astraxan [27]2 years ago

6 0

(8x-5)(2x+1)
Check: 16x^2+8x-10x-5
16x^2-2x-5

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Y = -6, W = 7, j = -2<br><br> - 2y +w-4j

Reika [66]

Answer:

answer is 27

Step-by-step explanation:

-2(-6) + 7 -4(-2)

12+7+8

19+8

Hope this helped

7 0

2 years ago

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 15. a. Compute the

Kaylis [27]

Answer:

a) (76.21,83.79)

b) (77.32,82.68)

c) Interval decreases

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 60

Sample mean = 80

Sample standard Deviation, s = 15

a) 95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$80 \pm 1.96(\dfrac{15}{\sqrt{60}} ) = 80 \pm 3.79 = (76.21,83.79)$

b) Sample size, n = 120

95% Confidence interval:

$80 \pm 1.96(\dfrac{15}{\sqrt{120}} ) = 80 \pm 2.68 = (77.32,82.68)$

c) As observed increasing the sample size, the confidence interval become smaller.

8 0

3 years ago

If f(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle"

kogti [31]

Answer:

Step-by-step explanation:

Given are two functions f and g defined as

$f(x) =\sqrt{x} \\g(x) = x^3+8$

we have to find the composition of functions in all orders

1) $a)(fog)(x)=f{g(x)}=f(x^3+8) =\sqrt{x^3+8} \\\\(fog)(2) = =4,-4$

$b) (fof)(x) = f{f(x)}=f(\sqrt{x} {=\sqrt[4]{x} \\\\When x=25, ans= \sqrt{5}$

$c) (gof)(x) = g(\sqrt{x}) = (\sqrt{x})^3+3 = x^{\frac{3}{2} } +8\\\\d)(fog)(x)=f{g(x)}=f(x^3+8)$

8 0

3 years ago

Does a rectangle have one line of symmetry

Thepotemich [5.8K]

No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.

8 0

3 years ago

What is the difference between what a positive slope does to a line and what a negative slope does to a line?

sp2606 [1]

Answer:

a positive slope increases upwards

a negative slope decreases downwards

8 0

2 years ago