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timama [110]
3 years ago
11

Worth 20+ points! Answer all parts and will award brainliest! Please show work

Mathematics
1 answer:
eduard3 years ago
4 0
Factor the following:
x^2 - 5 x - 24
Hint: | Factor x^2 - 5 x - 24 by finding two numbers whose product is -24 and whose sum is -5.
The factors of -24 that sum to -5 are 3 and -8. So, x^2 - 5 x - 24 = (x + 3) (x - 8):
Answer:  (x + 3) (x - 8)

___________________________________________________________

Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer:  (7 x - 8) (7 x + 8)
<span>-24 + 15 x + x^2 
</span>
____________________________________________________________

Factor the following:
x^2 - x - 110
Hint: | Factor x^2 - x - 110 by finding two numbers whose product is -110 and whose sum is -1.
The factors of -110 that sum to -1 are 10 and -11. So, x^2 - x - 110 = (x + 10) (x - 11):
Answer: (x + 10) (x - 11)___________________________________________________________

Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer:  (7 x - 8) (7 x + 8)

_______________________________________________________

Factor the following:
25 x^2 + 40 x - 10
Hint: | Factor out the greatest common divisor of the coefficients of 25 x^2 + 40 x - 10.
Factor 5 out of 25 x^2 + 40 x - 10:
Answer: 5 (5 x^2 + 8 x - 2)

__________________________________________________________

Factor the following:
9 x^2 + 3 x^2 - 6 x
Hint: | Add like terms in 9 x^2 + 3 x^2 - 6 x.
3 x^2 + 9 x^2 = 12 x^2:
12 x^2 - 6 x
Hint: | Factor common terms out of 12 x^2 - 6 x.
Factor 6 x out of 12 x^2 - 6 x:
Answer: 6 x (2 x - 1)

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45 handshakes are possible
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Solve 5x^2=10x + 4<br><br> Help please I literally forgot what topic this is! Thanksssss !!!!
faltersainse [42]
X = 4/15. The topic is solving for unknowns in an equation.
5 0
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Por la seguridad de su personal y sus clientes una agencia bancaria se instalara una camara de video en un soporte de pared de m
yulyashka [42]

Answer:

16.24°

Step-by-step explanation:

Are you trying to find the angle of depression from the camera to the cashier?

Assume that the camera is 2.24 m high and the cashier is 7.69 m away.

1. Angle of elevation from cashier

tanθ = 2.24/7.69 = 0.2913

θ = arctan(0.2913) = 16.24°  

2. Angle of depression from camera

∠ of depression = ∠ of elevation = 16.24°

6 0
3 years ago
Jahmal has p pairs of shoes. Kyle has one less than five times as many pairs of shoes as Jahmal. What expression represents the
rewona [7]

Problem 1

Jahmal has p pairs of shoes.: p

Kyle has one less than five times as many pairs of shoes as Jahmal.: 5p - 1

Total: p + 5p - 1 = 6p - 1

Answer: 6p - 1

Problem 2

The problem gives the original price as g. there is no s mentioned in the problem, so I don't see how you can express the higher price in terms of s. Of course, it could be that the original price is s, not g, so then just replace g with s in my answer.

The new price is g plus 15% of g.

g + 15% of g =

= g + 0.15g

= 1.15g

Answer: 1.15g

Problem 3

One package of markers costs m. 7 packages of markers cost 7m. Now you need to add 9% of 7m to 7m. If you consider 7m to be 100%, if you add 9% to 100%, you get 109%, so you need to express 109% of 7m. To find a percent of a number, multiply the percent by the number. To find 109% of 7m, multiply 109% by 7m.

109% * 7m = 1.09 * 7m = 7.63m

Answer: 7.63m

Problem 4

She earns $2.15 per hour and works 10 hours.

$2.15/hour * 10 hours = $21.50

From her salary, she earns $21.50 for the 10-hour shift.

Her customer receipts totaled r, and she earns 20% of r in addition to her salary. 20% of r = 0.2r. She earns $21.50 + 0.2r

Answer: $21.50 + 0.2r

3 0
3 years ago
In a box of chocolates, 1/5 of the chocolates contain nuts.
Rama09 [41]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

6 0
2 years ago
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