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Yuki888 [10]
3 years ago
15

Write and evaluate the expression. Then, complete the statements. Six more than the product of nine and a number Evaluate when q

=6
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Answer:

6+9q

substitute

simplify

order of operations

60

Step-by-step explanation:

san4es73 [151]3 years ago
5 0

q = unknown number

9q + 6  

[Six more(addition) than the product(multiplication) of nine and a number(q).

So 6 is added to 9q(9 times q).]

Since you know q = 6, substitue/plug it into the equation:

9q + 6     Plug in 6 into "q" since q = 6

9(6) + 6

54 + 6

60

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If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all<br> of the zeros of f(x) algebraically.
tino4ka555 [31]
Step 1: 1

(((x3) - (2•5x2)) + 29x) - 30 = 0

Step 2 2.1 x3-10x2+29x-30 is not a perfect cube

Step 3 Factoring: x3-10x2+29x-30

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 29x-30
Group 2: -10x2+x3

Pull out from each group separately :

Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)

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The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
2 years ago
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