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forsale [732]
3 years ago
8

Show all work to factor x4 – 17x2 + 16 completely.

Mathematics
2 answers:
denis23 [38]3 years ago
4 0

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

x^{4} - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Anastaziya [24]3 years ago
3 0

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

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The measure of angle x is 18 more than 3 times the measure of its complement.
Alex
Complementary angles = two angles that add to 90° complement each other.


So, angle x = 3y+18
y= complementary angle
(3y + 18) + y =  90
4y+18 = 90
4y=72
y=18°

x= 3y+18
x= 3(18) +18
angle x = 72°
4 0
4 years ago
Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal
jeka94

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

7 0
3 years ago
Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find ho
Anastaziya [24]

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

5 0
3 years ago
Two angles of a triangle have the same measure and the third one is 33 degrees greater than the measure of each other two. Fine
gavmur [86]

ill try my best

Add the two angles you already know (for example, 50 and 45), then, with the sum of the two angles (95), subtract it from 180 (180-95) and there's your answer. How do I find the third angle of a triangle if the two known angles are 35 and 40?

The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. The sum of the three angles of a triangle is 180°. ... The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

all i got (:

3 0
3 years ago
Read 2 more answers
Complete the proof that angle XYZ is congruent to angle WXY.
aksik [14]

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

4 0
3 years ago
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