(x+3)(x+5) would be the factoring of it
Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

Applying distributive property:

Grouping similar terms:

Applying common factor
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if
:

Hence, Mrs. Jones baked 121 cupcakes last week
Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:

Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

Therefore, the volume is 240 m³
Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real