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Volgvan
3 years ago
12

Brodrick correctly represents a composite number as the product of a pair of prime factors. Which equation could show Brodricks

work? F-5×15=75 G-7×17=119 H-9×19=171 J-11×21=231
Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

G-7×17=119

Step-by-step explanation:

A prime number is a number which has only two factors, 1 and itself.

A composite number on the other hand is any number that has more than two factors.

In the options

In F-5×15=75, 15 can still be decomposed into 5X3

In H-9×19=171, 9 can still be decomposed into 3X3

In J-11×21=231, 21 can still be written as 7X3.

So option G is the only equation which could show Brodricks work.

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(see image for question)
almond37 [142]

Answer:

Hans has done a mistake in the second step.

The correct answer is:

5x^2+13x-6=0

5x^2+15x-2x-6x=0 - 5. -6=-30 -30=15. -2

5x(1+3x)-2x(1+3x)=0

(5x-2x)(1+3x)=0

5-2x=0 1+3x=0

x=5/2 x=-1/3

4 0
3 years ago
A circular railroad sign has a diameter of 30 inches. Which is the measurement in square inches?​
GarryVolchara [31]

Answer:

area = 94.2 min²

Step-by-step explanation:

area = 30 x 3.14 = 94.2 in²

7 0
3 years ago
Which statement about the following equation is true?<br>2x2-9x+2-1​
Furkat [3]

Complete Question:

Which statement about the following equation is true?

2x^2-9x+2 = -1

A) The discriminant is less than 0, so there are two real roots

B) The discriminant is less than 0, so there are two complex roots

C) The discriminant is greater than 0, so there are two real roots

D) The discriminant is greater than 0, so there are two complex roots

Answer:

C) The discriminant is greater than 0, so there are two real roots

Step-by-step explanation:

The given equation is 2x^2-9x+2 = -1 which by simplification becomes

2x^2 - 9x + 3 = 0

For a quadratic equation of the form ax^2 + bx + c = 0, the discriminant is given by the equation, D = b^2 - 4ac

If the discriminant D is greater than 0, the roots are real and different

If the discriminant D is equal to 0, the roots are real and equal

If the discriminant D is less than 0, the roots are imaginary

For the quadratic equation under consideration, a = 2, b = -9, c = 3

Let us calculate the discriminant D

D = (-9)² - 4(2)(3)

D = 81 - 24

D = 57

Since the Discriminant D is greater than 0, the roots are real and different.

3 0
3 years ago
Jimmy pays $2.93 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased
Varvara68 [4.7K]
1 gallon = 2.93
2 gallons = 5.86
3 gallons = 8.86

Therefore the correct table is D.
3 0
3 years ago
Which number is greater than -24
Sophie [7]
Hey there!

You are correct! -16 is the right answer! Good job!

Hope this helps!

Always remember, you are a Work Of Art! 
<span>- Nicole :) <3</span>
6 0
3 years ago
Read 2 more answers
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