Answer:
35 cones
Step-by-step explanation:
21 x $2.50
=52.5
52.5/$1.50
= 35 small cones he can buy
Answer:
x^3-x^2-17x+12
Step-by-step explanation:
(x+4)(x^2-5x+3)
x^3-5x^2+3x+4x^2-20x+12
x^3-5x^2+4x^2+3x-20x+12
x^3-x^2-17x+12
You would multiply the power by the powers of both exponents
2 × 3 = 6 so a^6
3 × 4 = 12 so b^12
Answer is
a^6b^12
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° = 
= 
= 
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX = 
≈ 9.3
-----------------------------------------------------------------------
tan41° = 
= 
= 
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
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The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°
